Properties

Label 294.2.p.a.101.13
Level $294$
Weight $2$
Character 294.101
Analytic conductor $2.348$
Analytic rank $0$
Dimension $216$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [294,2,Mod(5,294)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(294, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([21, 29]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("294.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 294.p (of order \(42\), degree \(12\), 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: \(2.34760181943\)
Analytic rank: \(0\)
Dimension: \(216\)
Relative dimension: \(18\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.13
Character \(\chi\) \(=\) 294.101
Dual form 294.2.p.a.131.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.930874 + 0.365341i) q^{2} +(-0.332952 + 1.69975i) q^{3} +(0.733052 + 0.680173i) q^{4} +(2.77284 + 1.89049i) q^{5} +(-0.930924 + 1.46061i) q^{6} +(-2.14704 + 1.54603i) q^{7} +(0.433884 + 0.900969i) q^{8} +(-2.77829 - 1.13187i) q^{9} +O(q^{10})\) \(q+(0.930874 + 0.365341i) q^{2} +(-0.332952 + 1.69975i) q^{3} +(0.733052 + 0.680173i) q^{4} +(2.77284 + 1.89049i) q^{5} +(-0.930924 + 1.46061i) q^{6} +(-2.14704 + 1.54603i) q^{7} +(0.433884 + 0.900969i) q^{8} +(-2.77829 - 1.13187i) q^{9} +(1.89049 + 2.77284i) q^{10} +(-0.905407 - 6.00699i) q^{11} +(-1.40019 + 1.01954i) q^{12} +(1.32858 - 1.05951i) q^{13} +(-2.56345 + 0.654760i) q^{14} +(-4.13657 + 4.08368i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(0.409716 + 0.126381i) q^{17} +(-2.17272 - 2.06865i) q^{18} +(0.985050 - 0.568719i) q^{19} +(0.746775 + 3.27183i) q^{20} +(-1.91301 - 4.16418i) q^{21} +(1.35178 - 5.92253i) q^{22} +(1.51752 + 4.91968i) q^{23} +(-1.67588 + 0.437514i) q^{24} +(2.28797 + 5.82966i) q^{25} +(1.62382 - 0.500883i) q^{26} +(2.84893 - 4.34553i) q^{27} +(-2.62546 - 0.327036i) q^{28} +(7.31668 - 1.66998i) q^{29} +(-5.34257 + 2.29013i) q^{30} +(-1.31117 - 0.757007i) q^{31} +(-0.294755 + 0.955573i) q^{32} +(10.5118 + 0.461073i) q^{33} +(0.335222 + 0.267330i) q^{34} +(-8.87615 + 0.227944i) q^{35} +(-1.26676 - 2.71943i) q^{36} +(-7.65042 + 7.09855i) q^{37} +(1.12473 - 0.169526i) q^{38} +(1.35854 + 2.61102i) q^{39} +(-0.500182 + 3.31849i) q^{40} +(9.57633 - 4.61172i) q^{41} +(-0.259420 - 4.57523i) q^{42} +(-6.51574 - 3.13782i) q^{43} +(3.42208 - 5.01927i) q^{44} +(-5.56395 - 8.39080i) q^{45} +(-0.384741 + 5.13401i) q^{46} +(-1.97268 + 5.02631i) q^{47} +(-1.71988 - 0.204999i) q^{48} +(2.21956 - 6.63879i) q^{49} +6.26257i q^{50} +(-0.351231 + 0.654335i) q^{51} +(1.69457 + 0.126990i) q^{52} +(0.516727 - 0.556899i) q^{53} +(4.23959 - 3.00431i) q^{54} +(8.84559 - 18.3681i) q^{55} +(-2.32449 - 1.26362i) q^{56} +(0.638705 + 1.86369i) q^{57} +(7.42102 + 1.11854i) q^{58} +(7.56778 - 5.15962i) q^{59} +(-5.80993 + 0.179965i) q^{60} +(-3.47318 - 3.74320i) q^{61} +(-0.943972 - 1.18370i) q^{62} +(7.71500 - 1.86516i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(5.68693 - 0.426176i) q^{65} +(9.61673 + 4.26960i) q^{66} +(3.86723 - 6.69825i) q^{67} +(0.214382 + 0.371321i) q^{68} +(-8.86748 + 0.941385i) q^{69} +(-8.34585 - 3.03063i) q^{70} +(-13.2764 - 3.03025i) q^{71} +(-0.185675 - 2.99425i) q^{72} +(-1.42554 + 0.559484i) q^{73} +(-9.71497 + 3.81284i) q^{74} +(-10.6707 + 1.94798i) q^{75} +(1.10892 + 0.253104i) q^{76} +(11.2309 + 11.4974i) q^{77} +(0.310720 + 2.92686i) q^{78} +(-2.37931 - 4.12109i) q^{79} +(-1.67799 + 2.90636i) q^{80} +(6.43775 + 6.28931i) q^{81} +(10.5992 - 0.794300i) q^{82} +(-2.83069 + 3.54958i) q^{83} +(1.43003 - 4.35374i) q^{84} +(0.897154 + 1.12500i) q^{85} +(-4.91896 - 5.30138i) q^{86} +(0.402450 + 12.9925i) q^{87} +(5.01927 - 3.42208i) q^{88} +(-3.81113 - 0.574436i) q^{89} +(-2.11383 - 9.84352i) q^{90} +(-1.21448 + 4.32884i) q^{91} +(-2.23381 + 4.63856i) q^{92} +(1.72328 - 1.97662i) q^{93} +(-3.67264 + 3.95816i) q^{94} +(3.80654 + 0.285261i) q^{95} +(-1.52609 - 0.819169i) q^{96} -4.18668i q^{97} +(4.49155 - 5.36898i) q^{98} +(-4.28364 + 17.7139i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36} - 36 q^{37} + 4 q^{39} - 22 q^{40} + 20 q^{42} + 40 q^{43} - 14 q^{45} - 156 q^{46} - 134 q^{49} - 12 q^{51} + 16 q^{52} - 18 q^{54} - 322 q^{55} - 34 q^{57} - 164 q^{58} - 6 q^{60} + 56 q^{61} - 24 q^{63} + 36 q^{64} - 28 q^{69} - 4 q^{70} + 4 q^{72} - 24 q^{73} + 84 q^{75} + 16 q^{78} + 22 q^{79} - 52 q^{81} + 24 q^{82} + 42 q^{84} + 32 q^{85} - 94 q^{87} - 2 q^{88} + 42 q^{90} - 100 q^{91} - 266 q^{93} - 88 q^{94} - 6 q^{96} + 224 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(199\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.930874 + 0.365341i 0.658227 + 0.258335i
\(3\) −0.332952 + 1.69975i −0.192230 + 0.981350i
\(4\) 0.733052 + 0.680173i 0.366526 + 0.340086i
\(5\) 2.77284 + 1.89049i 1.24005 + 0.845452i 0.992359 0.123387i \(-0.0393756\pi\)
0.247692 + 0.968839i \(0.420328\pi\)
\(6\) −0.930924 + 1.46061i −0.380048 + 0.596291i
\(7\) −2.14704 + 1.54603i −0.811505 + 0.584346i
\(8\) 0.433884 + 0.900969i 0.153401 + 0.318541i
\(9\) −2.77829 1.13187i −0.926095 0.377290i
\(10\) 1.89049 + 2.77284i 0.597825 + 0.876848i
\(11\) −0.905407 6.00699i −0.272991 1.81117i −0.533608 0.845732i \(-0.679164\pi\)
0.260617 0.965442i \(-0.416074\pi\)
\(12\) −1.40019 + 1.01954i −0.404201 + 0.294315i
\(13\) 1.32858 1.05951i 0.368482 0.293855i −0.421690 0.906740i \(-0.638563\pi\)
0.790172 + 0.612886i \(0.209991\pi\)
\(14\) −2.56345 + 0.654760i −0.685112 + 0.174992i
\(15\) −4.13657 + 4.08368i −1.06806 + 1.05440i
\(16\) 0.0747301 + 0.997204i 0.0186825 + 0.249301i
\(17\) 0.409716 + 0.126381i 0.0993707 + 0.0306518i 0.344042 0.938954i \(-0.388204\pi\)
−0.244671 + 0.969606i \(0.578680\pi\)
\(18\) −2.17272 2.06865i −0.512114 0.487585i
\(19\) 0.985050 0.568719i 0.225986 0.130473i −0.382733 0.923859i \(-0.625017\pi\)
0.608719 + 0.793386i \(0.291684\pi\)
\(20\) 0.746775 + 3.27183i 0.166984 + 0.731604i
\(21\) −1.91301 4.16418i −0.417452 0.908699i
\(22\) 1.35178 5.92253i 0.288200 1.26269i
\(23\) 1.51752 + 4.91968i 0.316425 + 1.02582i 0.964463 + 0.264217i \(0.0851134\pi\)
−0.648038 + 0.761608i \(0.724410\pi\)
\(24\) −1.67588 + 0.437514i −0.342088 + 0.0893071i
\(25\) 2.28797 + 5.82966i 0.457595 + 1.16593i
\(26\) 1.62382 0.500883i 0.318458 0.0982313i
\(27\) 2.84893 4.34553i 0.548276 0.836297i
\(28\) −2.62546 0.327036i −0.496166 0.0618039i
\(29\) 7.31668 1.66998i 1.35867 0.310108i 0.519732 0.854330i \(-0.326032\pi\)
0.838942 + 0.544221i \(0.183175\pi\)
\(30\) −5.34257 + 2.29013i −0.975415 + 0.418119i
\(31\) −1.31117 0.757007i −0.235494 0.135962i 0.377610 0.925965i \(-0.376746\pi\)
−0.613104 + 0.790002i \(0.710079\pi\)
\(32\) −0.294755 + 0.955573i −0.0521058 + 0.168923i
\(33\) 10.5118 + 0.461073i 1.82987 + 0.0802625i
\(34\) 0.335222 + 0.267330i 0.0574901 + 0.0458468i
\(35\) −8.87615 + 0.227944i −1.50034 + 0.0385296i
\(36\) −1.26676 2.71943i −0.211127 0.453239i
\(37\) −7.65042 + 7.09855i −1.25772 + 1.16699i −0.279338 + 0.960193i \(0.590115\pi\)
−0.978383 + 0.206802i \(0.933694\pi\)
\(38\) 1.12473 0.169526i 0.182456 0.0275008i
\(39\) 1.35854 + 2.61102i 0.217541 + 0.418098i
\(40\) −0.500182 + 3.31849i −0.0790857 + 0.524700i
\(41\) 9.57633 4.61172i 1.49557 0.720229i 0.505768 0.862670i \(-0.331209\pi\)
0.989803 + 0.142441i \(0.0454951\pi\)
\(42\) −0.259420 4.57523i −0.0400294 0.705973i
\(43\) −6.51574 3.13782i −0.993642 0.478513i −0.134866 0.990864i \(-0.543060\pi\)
−0.858776 + 0.512351i \(0.828775\pi\)
\(44\) 3.42208 5.01927i 0.515898 0.756683i
\(45\) −5.56395 8.39080i −0.829425 1.25083i
\(46\) −0.384741 + 5.13401i −0.0567270 + 0.756969i
\(47\) −1.97268 + 5.02631i −0.287745 + 0.733163i 0.711781 + 0.702401i \(0.247889\pi\)
−0.999527 + 0.0307620i \(0.990207\pi\)
\(48\) −1.71988 0.204999i −0.248243 0.0295890i
\(49\) 2.21956 6.63879i 0.317080 0.948399i
\(50\) 6.26257i 0.885661i
\(51\) −0.351231 + 0.654335i −0.0491822 + 0.0916252i
\(52\) 1.69457 + 0.126990i 0.234994 + 0.0176104i
\(53\) 0.516727 0.556899i 0.0709779 0.0764960i −0.696564 0.717494i \(-0.745289\pi\)
0.767542 + 0.640998i \(0.221479\pi\)
\(54\) 4.23959 3.00431i 0.576935 0.408835i
\(55\) 8.84559 18.3681i 1.19274 2.47675i
\(56\) −2.32449 1.26362i −0.310624 0.168858i
\(57\) 0.638705 + 1.86369i 0.0845985 + 0.246852i
\(58\) 7.42102 + 1.11854i 0.974427 + 0.146871i
\(59\) 7.56778 5.15962i 0.985240 0.671726i 0.0403751 0.999185i \(-0.487145\pi\)
0.944865 + 0.327459i \(0.106192\pi\)
\(60\) −5.80993 + 0.179965i −0.750059 + 0.0232334i
\(61\) −3.47318 3.74320i −0.444695 0.479267i 0.470430 0.882437i \(-0.344099\pi\)
−0.915125 + 0.403170i \(0.867908\pi\)
\(62\) −0.943972 1.18370i −0.119885 0.150331i
\(63\) 7.71500 1.86516i 0.971998 0.234987i
\(64\) −0.623490 + 0.781831i −0.0779362 + 0.0977289i
\(65\) 5.68693 0.426176i 0.705376 0.0528607i
\(66\) 9.61673 + 4.26960i 1.18374 + 0.525551i
\(67\) 3.86723 6.69825i 0.472458 0.818321i −0.527045 0.849837i \(-0.676700\pi\)
0.999503 + 0.0315162i \(0.0100336\pi\)
\(68\) 0.214382 + 0.371321i 0.0259977 + 0.0450293i
\(69\) −8.86748 + 0.941385i −1.06752 + 0.113329i
\(70\) −8.34585 3.03063i −0.997520 0.362230i
\(71\) −13.2764 3.03025i −1.57562 0.359625i −0.656726 0.754130i \(-0.728059\pi\)
−0.918894 + 0.394505i \(0.870916\pi\)
\(72\) −0.185675 2.99425i −0.0218820 0.352876i
\(73\) −1.42554 + 0.559484i −0.166847 + 0.0654826i −0.447294 0.894387i \(-0.647612\pi\)
0.280447 + 0.959869i \(0.409517\pi\)
\(74\) −9.71497 + 3.81284i −1.12934 + 0.443234i
\(75\) −10.6707 + 1.94798i −1.23215 + 0.224934i
\(76\) 1.10892 + 0.253104i 0.127202 + 0.0290330i
\(77\) 11.2309 + 11.4974i 1.27989 + 1.31026i
\(78\) 0.310720 + 2.92686i 0.0351821 + 0.331402i
\(79\) −2.37931 4.12109i −0.267694 0.463659i 0.700572 0.713581i \(-0.252928\pi\)
−0.968266 + 0.249923i \(0.919595\pi\)
\(80\) −1.67799 + 2.90636i −0.187605 + 0.324941i
\(81\) 6.43775 + 6.28931i 0.715305 + 0.698812i
\(82\) 10.5992 0.794300i 1.17049 0.0877158i
\(83\) −2.83069 + 3.54958i −0.310709 + 0.389617i −0.912527 0.409016i \(-0.865872\pi\)
0.601818 + 0.798633i \(0.294443\pi\)
\(84\) 1.43003 4.35374i 0.156029 0.475031i
\(85\) 0.897154 + 1.12500i 0.0973100 + 0.122023i
\(86\) −4.91896 5.30138i −0.530425 0.571663i
\(87\) 0.402450 + 12.9925i 0.0431472 + 1.39295i
\(88\) 5.01927 3.42208i 0.535056 0.364795i
\(89\) −3.81113 0.574436i −0.403979 0.0608901i −0.0560900 0.998426i \(-0.517863\pi\)
−0.347889 + 0.937536i \(0.613101\pi\)
\(90\) −2.11383 9.84352i −0.222817 1.03760i
\(91\) −1.21448 + 4.32884i −0.127312 + 0.453785i
\(92\) −2.23381 + 4.63856i −0.232891 + 0.483603i
\(93\) 1.72328 1.97662i 0.178696 0.204966i
\(94\) −3.67264 + 3.95816i −0.378803 + 0.408253i
\(95\) 3.80654 + 0.285261i 0.390543 + 0.0292671i
\(96\) −1.52609 0.819169i −0.155756 0.0836061i
\(97\) 4.18668i 0.425093i −0.977151 0.212546i \(-0.931824\pi\)
0.977151 0.212546i \(-0.0681757\pi\)
\(98\) 4.49155 5.36898i 0.453716 0.542349i
\(99\) −4.28364 + 17.7139i −0.430522 + 1.78032i
\(100\) −2.28797 + 5.82966i −0.228797 + 0.582966i
\(101\) −1.00776 + 13.4477i −0.100276 + 1.33809i 0.689315 + 0.724462i \(0.257912\pi\)
−0.789592 + 0.613633i \(0.789708\pi\)
\(102\) −0.566007 + 0.480784i −0.0560430 + 0.0476047i
\(103\) −3.36645 + 4.93767i −0.331706 + 0.486523i −0.955469 0.295090i \(-0.904650\pi\)
0.623764 + 0.781613i \(0.285603\pi\)
\(104\) 1.53103 + 0.737307i 0.150130 + 0.0722989i
\(105\) 2.56788 15.1631i 0.250600 1.47977i
\(106\) 0.684466 0.329621i 0.0664812 0.0320157i
\(107\) −0.230772 + 1.53107i −0.0223096 + 0.148015i −0.997212 0.0746170i \(-0.976227\pi\)
0.974903 + 0.222632i \(0.0714647\pi\)
\(108\) 5.04412 1.24773i 0.485371 0.120063i
\(109\) 0.867689 0.130783i 0.0831096 0.0125268i −0.107356 0.994221i \(-0.534238\pi\)
0.190465 + 0.981694i \(0.439000\pi\)
\(110\) 14.9447 13.8667i 1.42492 1.32214i
\(111\) −9.51853 15.3673i −0.903459 1.45860i
\(112\) −1.70216 2.02550i −0.160839 0.191392i
\(113\) −11.6053 9.25491i −1.09173 0.870629i −0.0995028 0.995037i \(-0.531725\pi\)
−0.992231 + 0.124409i \(0.960297\pi\)
\(114\) −0.0863302 + 1.96821i −0.00808557 + 0.184340i
\(115\) −5.09276 + 16.5103i −0.474902 + 1.53960i
\(116\) 6.49938 + 3.75242i 0.603453 + 0.348404i
\(117\) −4.89040 + 1.43984i −0.452118 + 0.133113i
\(118\) 8.92966 2.03814i 0.822042 0.187626i
\(119\) −1.07507 + 0.362090i −0.0985511 + 0.0331928i
\(120\) −5.47406 1.95508i −0.499711 0.178474i
\(121\) −24.7528 + 7.63523i −2.25026 + 0.694112i
\(122\) −1.86555 4.75334i −0.168899 0.430347i
\(123\) 4.65030 + 17.8128i 0.419303 + 1.60613i
\(124\) −0.446264 1.44675i −0.0400756 0.129922i
\(125\) −0.942855 + 4.13092i −0.0843315 + 0.369481i
\(126\) 7.86311 + 1.08238i 0.700501 + 0.0964262i
\(127\) −1.72652 7.56437i −0.153204 0.671230i −0.991942 0.126694i \(-0.959563\pi\)
0.838738 0.544535i \(-0.183294\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 7.50293 10.0304i 0.660596 0.883126i
\(130\) 5.44951 + 1.68095i 0.477954 + 0.147429i
\(131\) −0.486322 6.48952i −0.0424902 0.566992i −0.977302 0.211849i \(-0.932051\pi\)
0.934812 0.355143i \(-0.115568\pi\)
\(132\) 7.39210 + 7.48784i 0.643400 + 0.651733i
\(133\) −1.23568 + 2.74398i −0.107147 + 0.237934i
\(134\) 6.04705 4.82236i 0.522386 0.416589i
\(135\) 16.1148 6.66358i 1.38694 0.573509i
\(136\) 0.0639041 + 0.423976i 0.00547973 + 0.0363556i
\(137\) −2.73960 4.01825i −0.234060 0.343303i 0.691182 0.722681i \(-0.257090\pi\)
−0.925242 + 0.379378i \(0.876138\pi\)
\(138\) −8.59843 2.36334i −0.731947 0.201181i
\(139\) 4.59251 + 9.53644i 0.389531 + 0.808870i 0.999860 + 0.0167219i \(0.00532298\pi\)
−0.610329 + 0.792148i \(0.708963\pi\)
\(140\) −6.66172 5.87022i −0.563018 0.496124i
\(141\) −7.88666 5.02658i −0.664176 0.423315i
\(142\) −11.2516 7.67120i −0.944212 0.643753i
\(143\) −7.56736 7.02148i −0.632814 0.587166i
\(144\) 0.921082 2.85510i 0.0767568 0.237925i
\(145\) 23.4450 + 9.20150i 1.94700 + 0.764143i
\(146\) −1.53140 −0.126740
\(147\) 10.5453 + 5.98309i 0.869759 + 0.493477i
\(148\) −10.4364 −0.857866
\(149\) 10.4921 + 4.11783i 0.859544 + 0.337346i 0.753845 0.657052i \(-0.228197\pi\)
0.105699 + 0.994398i \(0.466292\pi\)
\(150\) −10.6448 2.08513i −0.869143 0.170251i
\(151\) 1.88885 + 1.75259i 0.153712 + 0.142624i 0.753280 0.657700i \(-0.228470\pi\)
−0.599568 + 0.800324i \(0.704661\pi\)
\(152\) 0.939796 + 0.640742i 0.0762275 + 0.0519710i
\(153\) −0.995262 0.814866i −0.0804621 0.0658780i
\(154\) 6.25410 + 14.8058i 0.503970 + 1.19309i
\(155\) −2.20456 4.57782i −0.177075 0.367699i
\(156\) −0.780061 + 2.83806i −0.0624549 + 0.227226i
\(157\) −0.209978 0.307981i −0.0167580 0.0245795i 0.817768 0.575548i \(-0.195211\pi\)
−0.834526 + 0.550968i \(0.814259\pi\)
\(158\) −0.709236 4.70547i −0.0564238 0.374347i
\(159\) 0.774543 + 1.06373i 0.0614253 + 0.0843590i
\(160\) −2.62381 + 2.09242i −0.207430 + 0.165420i
\(161\) −10.8642 8.21661i −0.856216 0.647560i
\(162\) 3.69499 + 8.20653i 0.290306 + 0.644766i
\(163\) −0.372240 4.96719i −0.0291561 0.389060i −0.992624 0.121236i \(-0.961314\pi\)
0.963468 0.267825i \(-0.0863048\pi\)
\(164\) 10.1567 + 3.13293i 0.793106 + 0.244641i
\(165\) 28.2759 + 21.1509i 2.20128 + 1.64660i
\(166\) −3.93183 + 2.27004i −0.305169 + 0.176189i
\(167\) 5.04980 + 22.1246i 0.390765 + 1.71205i 0.661969 + 0.749532i \(0.269721\pi\)
−0.271203 + 0.962522i \(0.587422\pi\)
\(168\) 2.92178 3.53033i 0.225420 0.272371i
\(169\) −2.25020 + 9.85878i −0.173092 + 0.758367i
\(170\) 0.424130 + 1.37500i 0.0325293 + 0.105457i
\(171\) −3.38047 + 0.465117i −0.258511 + 0.0355684i
\(172\) −2.64212 6.73201i −0.201460 0.513311i
\(173\) 4.82746 1.48907i 0.367025 0.113212i −0.105756 0.994392i \(-0.533726\pi\)
0.472781 + 0.881180i \(0.343250\pi\)
\(174\) −4.37208 + 12.2414i −0.331446 + 0.928021i
\(175\) −13.9252 8.97923i −1.05265 0.678766i
\(176\) 5.92253 1.35178i 0.446427 0.101894i
\(177\) 6.25035 + 14.5812i 0.469805 + 1.09599i
\(178\) −3.33782 1.92709i −0.250180 0.144442i
\(179\) 1.71014 5.54414i 0.127822 0.414389i −0.868929 0.494937i \(-0.835191\pi\)
0.996751 + 0.0805485i \(0.0256672\pi\)
\(180\) 1.62853 9.93534i 0.121384 0.740537i
\(181\) −19.4926 15.5449i −1.44888 1.15544i −0.958914 0.283698i \(-0.908439\pi\)
−0.489963 0.871743i \(-0.662990\pi\)
\(182\) −2.71203 + 3.58590i −0.201029 + 0.265805i
\(183\) 7.51889 4.65723i 0.555813 0.344272i
\(184\) −3.77405 + 3.50181i −0.278227 + 0.258157i
\(185\) −34.6331 + 5.22010i −2.54628 + 0.383789i
\(186\) 2.32630 1.21040i 0.170572 0.0887507i
\(187\) 0.388207 2.57558i 0.0283885 0.188345i
\(188\) −4.86484 + 2.34278i −0.354805 + 0.170865i
\(189\) 0.601570 + 13.7346i 0.0437578 + 0.999042i
\(190\) 3.43919 + 1.65623i 0.249505 + 0.120155i
\(191\) −10.1992 + 14.9595i −0.737990 + 1.08243i 0.255309 + 0.966860i \(0.417823\pi\)
−0.993299 + 0.115573i \(0.963130\pi\)
\(192\) −1.12132 1.32009i −0.0809246 0.0952691i
\(193\) 0.439303 5.86210i 0.0316218 0.421963i −0.958818 0.284020i \(-0.908332\pi\)
0.990440 0.137943i \(-0.0440491\pi\)
\(194\) 1.52957 3.89727i 0.109816 0.279808i
\(195\) −1.16908 + 9.80824i −0.0837196 + 0.702383i
\(196\) 6.14258 3.35689i 0.438756 0.239778i
\(197\) 16.3072i 1.16184i −0.813960 0.580920i \(-0.802693\pi\)
0.813960 0.580920i \(-0.197307\pi\)
\(198\) −10.4592 + 14.9244i −0.743299 + 1.06063i
\(199\) 14.1156 + 1.05782i 1.00063 + 0.0749867i 0.564958 0.825120i \(-0.308892\pi\)
0.435670 + 0.900106i \(0.356511\pi\)
\(200\) −4.25963 + 4.59079i −0.301201 + 0.324618i
\(201\) 10.0977 + 8.80352i 0.712239 + 0.620952i
\(202\) −5.85109 + 12.1499i −0.411681 + 0.854865i
\(203\) −13.1274 + 14.8974i −0.921360 + 1.04559i
\(204\) −0.702531 + 0.240764i −0.0491870 + 0.0168568i
\(205\) 35.2720 + 5.31640i 2.46350 + 0.371313i
\(206\) −4.93767 + 3.36645i −0.344024 + 0.234551i
\(207\) 1.35233 15.3859i 0.0939932 1.06939i
\(208\) 1.15583 + 1.24569i 0.0801424 + 0.0863730i
\(209\) −4.30816 5.40226i −0.298002 0.373682i
\(210\) 7.93008 13.1768i 0.547228 0.909285i
\(211\) −12.3198 + 15.4485i −0.848130 + 1.06352i 0.149076 + 0.988826i \(0.452370\pi\)
−0.997206 + 0.0746959i \(0.976201\pi\)
\(212\) 0.757575 0.0567724i 0.0520305 0.00389915i
\(213\) 9.57107 21.5576i 0.655799 1.47710i
\(214\) −0.774184 + 1.34093i −0.0529221 + 0.0916638i
\(215\) −12.1351 21.0186i −0.827606 1.43346i
\(216\) 5.15129 + 0.681341i 0.350501 + 0.0463594i
\(217\) 3.98550 0.401795i 0.270554 0.0272756i
\(218\) 0.855490 + 0.195260i 0.0579411 + 0.0132247i
\(219\) −0.476345 2.60934i −0.0321884 0.176323i
\(220\) 18.9777 7.44821i 1.27948 0.502158i
\(221\) 0.678242 0.266190i 0.0456235 0.0179059i
\(222\) −3.24626 17.7825i −0.217874 1.19348i
\(223\) 17.9956 + 4.10737i 1.20507 + 0.275050i 0.777472 0.628918i \(-0.216502\pi\)
0.427601 + 0.903968i \(0.359359\pi\)
\(224\) −0.844496 2.50735i −0.0564253 0.167530i
\(225\) 0.241766 18.7862i 0.0161178 1.25241i
\(226\) −7.42186 12.8550i −0.493695 0.855105i
\(227\) −6.80451 + 11.7858i −0.451631 + 0.782248i −0.998488 0.0549784i \(-0.982491\pi\)
0.546856 + 0.837226i \(0.315824\pi\)
\(228\) −0.799430 + 1.80061i −0.0529435 + 0.119249i
\(229\) −4.98636 + 0.373676i −0.329508 + 0.0246932i −0.238457 0.971153i \(-0.576642\pi\)
−0.0910507 + 0.995846i \(0.529023\pi\)
\(230\) −10.7726 + 13.5084i −0.710325 + 0.890720i
\(231\) −23.2821 + 15.2617i −1.53185 + 1.00414i
\(232\) 4.67919 + 5.86752i 0.307204 + 0.385222i
\(233\) 8.02854 + 8.65271i 0.525967 + 0.566858i 0.939026 0.343847i \(-0.111730\pi\)
−0.413059 + 0.910704i \(0.635540\pi\)
\(234\) −5.07838 0.446358i −0.331984 0.0291793i
\(235\) −14.9721 + 10.2078i −0.976673 + 0.665884i
\(236\) 9.05701 + 1.36512i 0.589561 + 0.0888620i
\(237\) 7.79701 2.67211i 0.506470 0.173572i
\(238\) −1.13304 0.0557051i −0.0734438 0.00361083i
\(239\) 10.6935 22.2053i 0.691706 1.43634i −0.198182 0.980165i \(-0.563504\pi\)
0.889889 0.456178i \(-0.150782\pi\)
\(240\) −4.38139 3.81983i −0.282817 0.246569i
\(241\) −3.28369 + 3.53898i −0.211521 + 0.227966i −0.829897 0.557917i \(-0.811601\pi\)
0.618375 + 0.785883i \(0.287791\pi\)
\(242\) −25.8312 1.93578i −1.66049 0.124437i
\(243\) −12.8337 + 8.84851i −0.823282 + 0.567632i
\(244\) 5.10632i 0.326899i
\(245\) 18.7050 14.2122i 1.19502 0.907986i
\(246\) −2.17891 + 18.2804i −0.138922 + 1.16552i
\(247\) 0.706157 1.79926i 0.0449317 0.114484i
\(248\) 0.113142 1.50978i 0.00718455 0.0958712i
\(249\) −5.09090 5.99331i −0.322623 0.379810i
\(250\) −2.38687 + 3.50090i −0.150959 + 0.221416i
\(251\) −10.0433 4.83659i −0.633927 0.305283i 0.0891840 0.996015i \(-0.471574\pi\)
−0.723111 + 0.690732i \(0.757288\pi\)
\(252\) 6.92412 + 3.88028i 0.436179 + 0.244434i
\(253\) 28.1785 13.5700i 1.77157 0.853141i
\(254\) 1.15640 7.67225i 0.0725593 0.481400i
\(255\) −2.21092 + 1.15037i −0.138453 + 0.0720387i
\(256\) −0.988831 + 0.149042i −0.0618019 + 0.00931514i
\(257\) 3.17561 2.94653i 0.198089 0.183800i −0.574891 0.818230i \(-0.694956\pi\)
0.772980 + 0.634430i \(0.218765\pi\)
\(258\) 10.6488 6.59589i 0.662965 0.410642i
\(259\) 5.45116 27.0687i 0.338719 1.68197i
\(260\) 4.45869 + 3.55568i 0.276516 + 0.220514i
\(261\) −22.2180 3.64183i −1.37526 0.225423i
\(262\) 1.91818 6.21860i 0.118506 0.384186i
\(263\) 6.47242 + 3.73685i 0.399106 + 0.230424i 0.686098 0.727509i \(-0.259322\pi\)
−0.286992 + 0.957933i \(0.592655\pi\)
\(264\) 4.14549 + 9.67087i 0.255138 + 0.595201i
\(265\) 2.48561 0.567325i 0.152690 0.0348505i
\(266\) −2.15276 + 2.10286i −0.131994 + 0.128934i
\(267\) 2.24532 6.28671i 0.137411 0.384740i
\(268\) 7.39085 2.27977i 0.451468 0.139259i
\(269\) 5.59759 + 14.2624i 0.341291 + 0.869595i 0.993735 + 0.111759i \(0.0356484\pi\)
−0.652444 + 0.757837i \(0.726256\pi\)
\(270\) 17.4353 0.315559i 1.06108 0.0192043i
\(271\) −2.44075 7.91272i −0.148265 0.480663i 0.850724 0.525612i \(-0.176164\pi\)
−0.998989 + 0.0449489i \(0.985688\pi\)
\(272\) −0.0954091 + 0.418015i −0.00578503 + 0.0253459i
\(273\) −6.95357 3.50561i −0.420849 0.212169i
\(274\) −1.08219 4.74138i −0.0653774 0.286437i
\(275\) 32.9471 19.0220i 1.98679 1.14707i
\(276\) −7.14063 5.34133i −0.429815 0.321510i
\(277\) −11.6478 3.59286i −0.699846 0.215874i −0.0756416 0.997135i \(-0.524100\pi\)
−0.624204 + 0.781261i \(0.714577\pi\)
\(278\) 0.790992 + 10.5550i 0.0474405 + 0.633050i
\(279\) 2.78599 + 3.58726i 0.166793 + 0.214764i
\(280\) −4.05659 7.89823i −0.242427 0.472010i
\(281\) −6.45058 + 5.14416i −0.384809 + 0.306875i −0.796719 0.604349i \(-0.793433\pi\)
0.411910 + 0.911224i \(0.364862\pi\)
\(282\) −5.50506 7.56043i −0.327822 0.450217i
\(283\) 1.77188 + 11.7557i 0.105327 + 0.698801i 0.977707 + 0.209973i \(0.0673375\pi\)
−0.872380 + 0.488829i \(0.837424\pi\)
\(284\) −7.67120 11.2516i −0.455202 0.667659i
\(285\) −1.75227 + 6.37518i −0.103795 + 0.377633i
\(286\) −4.47902 9.30078i −0.264850 0.549967i
\(287\) −13.4309 + 24.7069i −0.792800 + 1.45840i
\(288\) 1.90050 2.32123i 0.111988 0.136780i
\(289\) −13.8942 9.47288i −0.817304 0.557228i
\(290\) 18.4627 + 17.1309i 1.08417 + 1.00596i
\(291\) 7.11630 + 1.39396i 0.417165 + 0.0817156i
\(292\) −1.42554 0.559484i −0.0834235 0.0327413i
\(293\) 8.17512 0.477596 0.238798 0.971069i \(-0.423247\pi\)
0.238798 + 0.971069i \(0.423247\pi\)
\(294\) 7.63044 + 9.42212i 0.445016 + 0.549509i
\(295\) 30.7384 1.78966
\(296\) −9.71497 3.81284i −0.564671 0.221617i
\(297\) −28.6830 13.1790i −1.66435 0.764723i
\(298\) 8.26238 + 7.66637i 0.478627 + 0.444101i
\(299\) 7.22859 + 4.92837i 0.418040 + 0.285015i
\(300\) −9.14717 5.82998i −0.528112 0.336594i
\(301\) 18.8407 3.33654i 1.08596 0.192315i
\(302\) 1.11798 + 2.32151i 0.0643327 + 0.133588i
\(303\) −22.5221 6.19038i −1.29386 0.355628i
\(304\) 0.640742 + 0.939796i 0.0367491 + 0.0539010i
\(305\) −2.55409 16.9453i −0.146247 0.970284i
\(306\) −0.628759 1.12215i −0.0359438 0.0641489i
\(307\) −12.9594 + 10.3347i −0.739630 + 0.589835i −0.919145 0.393920i \(-0.871119\pi\)
0.179515 + 0.983755i \(0.442547\pi\)
\(308\) 0.412615 + 16.0672i 0.0235109 + 0.915514i
\(309\) −7.27193 7.36612i −0.413686 0.419044i
\(310\) −0.379703 5.06679i −0.0215657 0.287774i
\(311\) 15.2442 + 4.70221i 0.864419 + 0.266638i 0.695091 0.718922i \(-0.255364\pi\)
0.169328 + 0.985560i \(0.445840\pi\)
\(312\) −1.76300 + 2.35688i −0.0998100 + 0.133432i
\(313\) 12.4304 7.17667i 0.702605 0.405649i −0.105712 0.994397i \(-0.533712\pi\)
0.808317 + 0.588748i \(0.200379\pi\)
\(314\) −0.0829447 0.363404i −0.00468084 0.0205081i
\(315\) 24.9185 + 9.41334i 1.40400 + 0.530382i
\(316\) 1.05889 4.63932i 0.0595674 0.260982i
\(317\) −3.98605 12.9224i −0.223879 0.725797i −0.995921 0.0902261i \(-0.971241\pi\)
0.772043 0.635571i \(-0.219235\pi\)
\(318\) 0.332379 + 1.27317i 0.0186389 + 0.0713957i
\(319\) −16.6561 42.4392i −0.932565 2.37614i
\(320\) −3.20688 + 0.989191i −0.179270 + 0.0552975i
\(321\) −2.52560 0.902029i −0.140965 0.0503463i
\(322\) −7.11130 11.6178i −0.396297 0.647432i
\(323\) 0.475466 0.108522i 0.0264556 0.00603832i
\(324\) 0.441385 + 8.98917i 0.0245214 + 0.499398i
\(325\) 9.21633 + 5.32105i 0.511230 + 0.295159i
\(326\) 1.46821 4.75982i 0.0813167 0.263622i
\(327\) −0.0666005 + 1.51840i −0.00368301 + 0.0839676i
\(328\) 8.31002 + 6.62702i 0.458844 + 0.365916i
\(329\) −3.53542 13.8415i −0.194914 0.763108i
\(330\) 18.5940 + 30.0192i 1.02357 + 1.65250i
\(331\) 12.3479 11.4572i 0.678703 0.629745i −0.263550 0.964646i \(-0.584893\pi\)
0.942253 + 0.334901i \(0.108703\pi\)
\(332\) −4.48937 + 0.676664i −0.246386 + 0.0371368i
\(333\) 29.2897 11.0625i 1.60506 0.606223i
\(334\) −3.38230 + 22.4401i −0.185071 + 1.22787i
\(335\) 23.3862 11.2622i 1.27772 0.615319i
\(336\) 4.00958 2.21885i 0.218740 0.121048i
\(337\) −28.5262 13.7375i −1.55392 0.748329i −0.557288 0.830319i \(-0.688158\pi\)
−0.996633 + 0.0819900i \(0.973872\pi\)
\(338\) −5.69647 + 8.35519i −0.309847 + 0.454462i
\(339\) 19.5950 16.6446i 1.06426 0.904012i
\(340\) −0.107531 + 1.43490i −0.00583168 + 0.0778184i
\(341\) −3.36018 + 8.56161i −0.181964 + 0.463637i
\(342\) −3.31671 0.802058i −0.179347 0.0433703i
\(343\) 5.49830 + 17.6853i 0.296880 + 0.954915i
\(344\) 7.23193i 0.389920i
\(345\) −26.3677 14.1536i −1.41959 0.762002i
\(346\) 5.03777 + 0.377529i 0.270832 + 0.0202961i
\(347\) 5.11079 5.50812i 0.274362 0.295692i −0.580807 0.814041i \(-0.697263\pi\)
0.855169 + 0.518350i \(0.173453\pi\)
\(348\) −8.54215 + 9.79794i −0.457907 + 0.525225i
\(349\) −10.6400 + 22.0941i −0.569544 + 1.18267i 0.394984 + 0.918688i \(0.370750\pi\)
−0.964528 + 0.263982i \(0.914964\pi\)
\(350\) −9.68214 13.4460i −0.517532 0.718718i
\(351\) −0.819091 8.79185i −0.0437199 0.469274i
\(352\) 6.00699 + 0.905407i 0.320173 + 0.0482584i
\(353\) −0.950181 + 0.647823i −0.0505730 + 0.0344801i −0.588343 0.808612i \(-0.700219\pi\)
0.537770 + 0.843092i \(0.319267\pi\)
\(354\) 0.491171 + 15.8568i 0.0261055 + 0.842778i
\(355\) −31.0847 33.5013i −1.64980 1.77806i
\(356\) −2.40304 3.01332i −0.127361 0.159706i
\(357\) −0.257517 1.94790i −0.0136292 0.103094i
\(358\) 3.61743 4.53611i 0.191187 0.239741i
\(359\) −7.23318 + 0.542052i −0.381752 + 0.0286084i −0.264225 0.964461i \(-0.585116\pi\)
−0.117528 + 0.993070i \(0.537497\pi\)
\(360\) 5.14575 8.65358i 0.271205 0.456084i
\(361\) −8.85312 + 15.3340i −0.465954 + 0.807055i
\(362\) −12.4660 21.5918i −0.655199 1.13484i
\(363\) −4.73647 44.6157i −0.248600 2.34172i
\(364\) −3.83464 + 2.34720i −0.200990 + 0.123027i
\(365\) −5.01049 1.14361i −0.262261 0.0598594i
\(366\) 8.70062 1.58833i 0.454789 0.0830233i
\(367\) −9.99681 + 3.92346i −0.521829 + 0.204803i −0.611611 0.791159i \(-0.709478\pi\)
0.0897819 + 0.995961i \(0.471383\pi\)
\(368\) −4.79252 + 1.88093i −0.249827 + 0.0980500i
\(369\) −31.8256 + 1.97352i −1.65678 + 0.102737i
\(370\) −34.1462 7.79364i −1.77517 0.405172i
\(371\) −0.248449 + 1.99456i −0.0128988 + 0.103553i
\(372\) 2.60770 0.276837i 0.135203 0.0143533i
\(373\) 12.8851 + 22.3177i 0.667167 + 1.15557i 0.978693 + 0.205329i \(0.0658265\pi\)
−0.311526 + 0.950238i \(0.600840\pi\)
\(374\) 1.30234 2.25572i 0.0673423 0.116640i
\(375\) −6.70760 2.97801i −0.346379 0.153784i
\(376\) −5.38447 + 0.403510i −0.277683 + 0.0208094i
\(377\) 7.95144 9.97079i 0.409520 0.513522i
\(378\) −4.45781 + 13.0049i −0.229285 + 0.668901i
\(379\) 23.9678 + 30.0547i 1.23114 + 1.54380i 0.739780 + 0.672849i \(0.234930\pi\)
0.491363 + 0.870955i \(0.336499\pi\)
\(380\) 2.59637 + 2.79822i 0.133191 + 0.143545i
\(381\) 13.4324 0.416074i 0.688162 0.0213161i
\(382\) −14.9595 + 10.1992i −0.765396 + 0.521838i
\(383\) −18.1847 2.74091i −0.929197 0.140054i −0.333032 0.942916i \(-0.608072\pi\)
−0.596165 + 0.802862i \(0.703310\pi\)
\(384\) −0.561529 1.63850i −0.0286554 0.0836144i
\(385\) 9.40579 + 53.1125i 0.479363 + 2.70686i
\(386\) 2.55060 5.29638i 0.129822 0.269578i
\(387\) 14.5510 + 16.0927i 0.739669 + 0.818039i
\(388\) 2.84767 3.06905i 0.144568 0.155808i
\(389\) −13.9768 1.04741i −0.708651 0.0531060i −0.284472 0.958684i \(-0.591818\pi\)
−0.424179 + 0.905578i \(0.639437\pi\)
\(390\) −4.67162 + 8.70312i −0.236557 + 0.440700i
\(391\) 2.20746i 0.111636i
\(392\) 6.94438 0.880707i 0.350744 0.0444824i
\(393\) 11.1925 + 1.33407i 0.564586 + 0.0672951i
\(394\) 5.95769 15.1800i 0.300144 0.764755i
\(395\) 1.19343 15.9252i 0.0600478 0.801282i
\(396\) −15.1887 + 10.0716i −0.763259 + 0.506118i
\(397\) −14.4037 + 21.1264i −0.722902 + 1.06030i 0.272276 + 0.962219i \(0.412224\pi\)
−0.995178 + 0.0980838i \(0.968729\pi\)
\(398\) 12.7534 + 6.14170i 0.639269 + 0.307856i
\(399\) −4.25266 3.01397i −0.212899 0.150887i
\(400\) −5.64238 + 2.71723i −0.282119 + 0.135861i
\(401\) −0.0319954 + 0.212276i −0.00159777 + 0.0106005i −0.989616 0.143740i \(-0.954087\pi\)
0.988018 + 0.154340i \(0.0493252\pi\)
\(402\) 6.18342 + 11.8841i 0.308401 + 0.592724i
\(403\) −2.54406 + 0.383455i −0.126729 + 0.0191013i
\(404\) −9.88549 + 9.17239i −0.491822 + 0.456344i
\(405\) 5.96096 + 29.6097i 0.296202 + 1.47132i
\(406\) −17.6625 + 9.07159i −0.876576 + 0.450216i
\(407\) 49.5676 + 39.5289i 2.45698 + 1.95937i
\(408\) −0.741929 0.0325427i −0.0367310 0.00161111i
\(409\) 0.139722 0.452967i 0.00690880 0.0223978i −0.952053 0.305934i \(-0.901031\pi\)
0.958962 + 0.283536i \(0.0915076\pi\)
\(410\) 30.8915 + 17.8352i 1.52562 + 0.880818i
\(411\) 7.74217 3.31874i 0.381893 0.163702i
\(412\) −5.82625 + 1.32980i −0.287039 + 0.0655147i
\(413\) −8.27137 + 22.7779i −0.407007 + 1.12083i
\(414\) 6.87995 13.8283i 0.338131 0.679623i
\(415\) −14.5595 + 4.49101i −0.714697 + 0.220455i
\(416\) 0.620831 + 1.58185i 0.0304387 + 0.0775567i
\(417\) −17.7386 + 4.63093i −0.868664 + 0.226777i
\(418\) −2.03668 6.60277i −0.0996175 0.322952i
\(419\) −1.08908 + 4.77159i −0.0532053 + 0.233107i −0.994538 0.104371i \(-0.966717\pi\)
0.941333 + 0.337479i \(0.109574\pi\)
\(420\) 12.1959 9.36874i 0.595100 0.457148i
\(421\) 5.05215 + 22.1349i 0.246227 + 1.07879i 0.935233 + 0.354033i \(0.115190\pi\)
−0.689006 + 0.724755i \(0.741953\pi\)
\(422\) −17.1122 + 9.87971i −0.833007 + 0.480937i
\(423\) 11.1698 11.7317i 0.543094 0.570416i
\(424\) 0.725948 + 0.223925i 0.0352552 + 0.0108748i
\(425\) 0.200663 + 2.67766i 0.00973358 + 0.129886i
\(426\) 16.7853 16.5707i 0.813252 0.802854i
\(427\) 13.2442 + 2.66714i 0.640930 + 0.129072i
\(428\) −1.21056 + 0.965392i −0.0585148 + 0.0466640i
\(429\) 14.4543 10.5248i 0.697861 0.508141i
\(430\) −3.61728 23.9991i −0.174441 1.15734i
\(431\) −2.58118 3.78590i −0.124331 0.182360i 0.759027 0.651059i \(-0.225675\pi\)
−0.883358 + 0.468699i \(0.844723\pi\)
\(432\) 4.54628 + 2.51622i 0.218733 + 0.121062i
\(433\) 1.13243 + 2.35152i 0.0544212 + 0.113007i 0.926406 0.376526i \(-0.122882\pi\)
−0.871985 + 0.489533i \(0.837167\pi\)
\(434\) 3.85679 + 1.08205i 0.185132 + 0.0519399i
\(435\) −23.4463 + 36.7870i −1.12416 + 1.76380i
\(436\) 0.725016 + 0.494308i 0.0347220 + 0.0236730i
\(437\) 4.29275 + 3.98309i 0.205350 + 0.190537i
\(438\) 0.509883 2.60300i 0.0243632 0.124376i
\(439\) 21.0009 + 8.24225i 1.00232 + 0.393381i 0.809034 0.587762i \(-0.199991\pi\)
0.193284 + 0.981143i \(0.438086\pi\)
\(440\) 20.3870 0.971912
\(441\) −13.6808 + 15.9322i −0.651468 + 0.758677i
\(442\) 0.728608 0.0346564
\(443\) 21.2792 + 8.35146i 1.01100 + 0.396790i 0.812281 0.583266i \(-0.198226\pi\)
0.198722 + 0.980056i \(0.436321\pi\)
\(444\) 3.47482 17.7392i 0.164908 0.841867i
\(445\) −9.48169 8.79772i −0.449475 0.417052i
\(446\) 15.2510 + 10.3980i 0.722157 + 0.492358i
\(447\) −10.4926 + 16.4628i −0.496285 + 0.778665i
\(448\) 0.129920 2.64256i 0.00613815 0.124849i
\(449\) −12.1067 25.1398i −0.571349 1.18642i −0.963795 0.266644i \(-0.914085\pi\)
0.392446 0.919775i \(-0.371629\pi\)
\(450\) 7.08841 17.3992i 0.334151 0.820207i
\(451\) −36.3730 53.3494i −1.71274 2.51212i
\(452\) −2.21234 14.6779i −0.104060 0.690392i
\(453\) −3.60786 + 2.62703i −0.169512 + 0.123429i
\(454\) −10.6400 + 8.48508i −0.499358 + 0.398225i
\(455\) −11.5512 + 9.70720i −0.541528 + 0.455080i
\(456\) −1.40201 + 1.38408i −0.0656550 + 0.0648155i
\(457\) 0.687015 + 9.16758i 0.0321372 + 0.428841i 0.989947 + 0.141439i \(0.0451728\pi\)
−0.957810 + 0.287403i \(0.907208\pi\)
\(458\) −4.77819 1.47388i −0.223270 0.0688697i
\(459\) 1.71644 1.42038i 0.0801166 0.0662978i
\(460\) −14.9631 + 8.63897i −0.697660 + 0.402794i
\(461\) 4.53757 + 19.8804i 0.211336 + 0.925923i 0.963660 + 0.267130i \(0.0860753\pi\)
−0.752325 + 0.658792i \(0.771068\pi\)
\(462\) −27.2484 + 5.70078i −1.26771 + 0.265224i
\(463\) 4.81201 21.0828i 0.223633 0.979800i −0.731085 0.682287i \(-0.760986\pi\)
0.954718 0.297513i \(-0.0961572\pi\)
\(464\) 2.21209 + 7.17142i 0.102694 + 0.332925i
\(465\) 8.51515 2.22300i 0.394881 0.103089i
\(466\) 4.31237 + 10.9877i 0.199767 + 0.508997i
\(467\) 28.9116 8.91806i 1.33787 0.412679i 0.458449 0.888721i \(-0.348405\pi\)
0.879422 + 0.476042i \(0.157929\pi\)
\(468\) −4.56426 2.27084i −0.210983 0.104970i
\(469\) 2.05260 + 20.3603i 0.0947805 + 0.940150i
\(470\) −17.6665 + 4.03226i −0.814894 + 0.185994i
\(471\) 0.593402 0.254366i 0.0273425 0.0117206i
\(472\) 7.93219 + 4.57965i 0.365109 + 0.210796i
\(473\) −12.9494 + 41.9810i −0.595415 + 1.93029i
\(474\) 8.23426 + 0.361174i 0.378212 + 0.0165893i
\(475\) 5.56921 + 4.44130i 0.255533 + 0.203781i
\(476\) −1.03436 0.465799i −0.0474099 0.0213499i
\(477\) −2.06595 + 0.962358i −0.0945935 + 0.0440634i
\(478\) 18.0668 16.7636i 0.826358 0.766748i
\(479\) 25.7583 3.88244i 1.17693 0.177393i 0.468687 0.883364i \(-0.344727\pi\)
0.708241 + 0.705971i \(0.249489\pi\)
\(480\) −2.68298 5.15648i −0.122461 0.235360i
\(481\) −2.64323 + 17.5367i −0.120521 + 0.799604i
\(482\) −4.34964 + 2.09467i −0.198121 + 0.0954098i
\(483\) 17.5834 15.7306i 0.800073 0.715767i
\(484\) −23.3384 11.2392i −1.06084 0.510871i
\(485\) 7.91487 11.6090i 0.359396 0.527137i
\(486\) −15.1793 + 3.54817i −0.688546 + 0.160948i
\(487\) 1.37208 18.3091i 0.0621747 0.829664i −0.875737 0.482789i \(-0.839624\pi\)
0.937911 0.346875i \(-0.112757\pi\)
\(488\) 1.86555 4.75334i 0.0844494 0.215174i
\(489\) 8.56691 + 1.02112i 0.387409 + 0.0461768i
\(490\) 22.6043 6.39607i 1.02116 0.288945i
\(491\) 5.08507i 0.229486i −0.993395 0.114743i \(-0.963396\pi\)
0.993395 0.114743i \(-0.0366045\pi\)
\(492\) −8.70689 + 16.2207i −0.392537 + 0.731287i
\(493\) 3.20881 + 0.240467i 0.144518 + 0.0108301i
\(494\) 1.31469 1.41689i 0.0591505 0.0637491i
\(495\) −45.3658 + 41.0197i −2.03904 + 1.84370i
\(496\) 0.656906 1.36408i 0.0294960 0.0612490i
\(497\) 33.1898 14.0197i 1.48877 0.628869i
\(498\) −2.54939 7.43893i −0.114241 0.333346i
\(499\) 12.8591 + 1.93820i 0.575653 + 0.0867657i 0.430415 0.902631i \(-0.358367\pi\)
0.145238 + 0.989397i \(0.453605\pi\)
\(500\) −3.50090 + 2.38687i −0.156565 + 0.106744i
\(501\) −39.2876 + 1.21695i −1.75524 + 0.0543694i
\(502\) −7.58203 8.17148i −0.338402 0.364711i
\(503\) −14.3350 17.9755i −0.639167 0.801490i 0.351732 0.936101i \(-0.385593\pi\)
−0.990899 + 0.134611i \(0.957022\pi\)
\(504\) 5.02786 + 6.14171i 0.223959 + 0.273574i
\(505\) −28.2170 + 35.3831i −1.25564 + 1.57453i
\(506\) 31.1883 2.33724i 1.38649 0.103903i
\(507\) −16.0082 7.10727i −0.710950 0.315645i
\(508\) 3.87945 6.71941i 0.172123 0.298126i
\(509\) 19.0633 + 33.0186i 0.844967 + 1.46353i 0.885650 + 0.464353i \(0.153713\pi\)
−0.0406832 + 0.999172i \(0.512953\pi\)
\(510\) −2.47836 + 0.263107i −0.109744 + 0.0116506i
\(511\) 2.19571 3.40517i 0.0971327 0.150636i
\(512\) −0.974928 0.222521i −0.0430861 0.00983413i
\(513\) 0.334952 5.90080i 0.0147885 0.260527i
\(514\) 4.03258 1.58267i 0.177869 0.0698086i
\(515\) −18.6692 + 7.32713i −0.822664 + 0.322872i
\(516\) 12.3224 2.24950i 0.542465 0.0990288i
\(517\) 31.9791 + 7.29901i 1.40644 + 0.321010i
\(518\) 14.9636 23.2060i 0.657465 1.01961i
\(519\) 0.923738 + 8.70125i 0.0405476 + 0.381942i
\(520\) 2.85144 + 4.93883i 0.125044 + 0.216582i
\(521\) −17.7836 + 30.8021i −0.779114 + 1.34946i 0.153339 + 0.988174i \(0.450997\pi\)
−0.932453 + 0.361291i \(0.882336\pi\)
\(522\) −19.3517 11.5072i −0.847000 0.503658i
\(523\) 34.7022 2.60057i 1.51742 0.113715i 0.710215 0.703985i \(-0.248598\pi\)
0.807206 + 0.590269i \(0.200979\pi\)
\(524\) 4.05750 5.08794i 0.177253 0.222268i
\(525\) 19.8989 20.6797i 0.868458 0.902537i
\(526\) 4.65978 + 5.84318i 0.203176 + 0.254775i
\(527\) −0.441538 0.475865i −0.0192337 0.0207290i
\(528\) 0.325765 + 10.5169i 0.0141771 + 0.457689i
\(529\) −2.89690 + 1.97507i −0.125952 + 0.0858726i
\(530\) 2.52106 + 0.379988i 0.109508 + 0.0165056i
\(531\) −26.8655 + 5.76918i −1.16586 + 0.250361i
\(532\) −2.77220 + 1.17100i −0.120190 + 0.0507694i
\(533\) 7.83678 16.2732i 0.339448 0.704872i
\(534\) 4.38690 5.03182i 0.189840 0.217748i
\(535\) −3.53437 + 3.80915i −0.152804 + 0.164684i
\(536\) 7.71284 + 0.577998i 0.333144 + 0.0249657i
\(537\) 8.85425 + 4.75274i 0.382089 + 0.205096i
\(538\) 15.3215i 0.660559i
\(539\) −41.8887 7.32207i −1.80428 0.315384i
\(540\) 16.3454 + 6.07609i 0.703392 + 0.261473i
\(541\) 7.44789 18.9769i 0.320210 0.815881i −0.676621 0.736331i \(-0.736556\pi\)
0.996831 0.0795499i \(-0.0253483\pi\)
\(542\) 0.618810 8.25745i 0.0265802 0.354688i
\(543\) 32.9125 27.9569i 1.41241 1.19974i
\(544\) −0.241532 + 0.354262i −0.0103556 + 0.0151889i
\(545\) 2.65320 + 1.27772i 0.113651 + 0.0547313i
\(546\) −5.19215 5.80370i −0.222204 0.248376i
\(547\) 11.1668 5.37764i 0.477457 0.229931i −0.179647 0.983731i \(-0.557496\pi\)
0.657104 + 0.753800i \(0.271781\pi\)
\(548\) 0.724839 4.80899i 0.0309636 0.205430i
\(549\) 5.41268 + 14.3309i 0.231008 + 0.611626i
\(550\) 37.6192 5.67018i 1.60409 0.241777i
\(551\) 6.25755 5.80615i 0.266580 0.247350i
\(552\) −4.69561 7.58087i −0.199859 0.322663i
\(553\) 11.4798 + 5.16965i 0.488172 + 0.219836i
\(554\) −9.52997 7.59990i −0.404890 0.322889i
\(555\) 2.65830 60.6056i 0.112839 2.57256i
\(556\) −3.11988 + 10.1144i −0.132312 + 0.428946i
\(557\) −29.4192 16.9852i −1.24653 0.719686i −0.276117 0.961124i \(-0.589048\pi\)
−0.970416 + 0.241438i \(0.922381\pi\)
\(558\) 1.28283 + 4.35712i 0.0543064 + 0.184452i
\(559\) −11.9812 + 2.73464i −0.506752 + 0.115663i
\(560\) −0.890622 8.83430i −0.0376357 0.373317i
\(561\) 4.24859 + 1.51740i 0.179376 + 0.0640646i
\(562\) −7.88405 + 2.43191i −0.332568 + 0.102584i
\(563\) 2.58971 + 6.59847i 0.109143 + 0.278092i 0.975002 0.222196i \(-0.0713226\pi\)
−0.865859 + 0.500288i \(0.833227\pi\)
\(564\) −2.36238 9.04903i −0.0994743 0.381033i
\(565\) −14.6833 47.6020i −0.617730 2.00263i
\(566\) −2.64543 + 11.5904i −0.111196 + 0.487180i
\(567\) −23.5456 3.55043i −0.988822 0.149104i
\(568\) −3.03025 13.2764i −0.127147 0.557066i
\(569\) −9.50120 + 5.48552i −0.398311 + 0.229965i −0.685755 0.727833i \(-0.740528\pi\)
0.287444 + 0.957797i \(0.407194\pi\)
\(570\) −3.96025 + 5.29431i −0.165877 + 0.221754i
\(571\) 14.3344 + 4.42157i 0.599875 + 0.185037i 0.579796 0.814761i \(-0.303132\pi\)
0.0200787 + 0.999798i \(0.493608\pi\)
\(572\) −0.771445 10.2942i −0.0322557 0.430423i
\(573\) −22.0316 22.3169i −0.920382 0.932303i
\(574\) −21.5289 + 18.0921i −0.898599 + 0.755150i
\(575\) −25.2080 + 20.1027i −1.05125 + 0.838342i
\(576\) 2.61716 1.46644i 0.109048 0.0611018i
\(577\) −6.36460 42.2264i −0.264962 1.75791i −0.585502 0.810671i \(-0.699102\pi\)
0.320540 0.947235i \(-0.396136\pi\)
\(578\) −9.47288 13.8942i −0.394020 0.577921i
\(579\) 9.81782 + 2.69850i 0.408015 + 0.112146i
\(580\) 10.9278 + 22.6919i 0.453753 + 0.942228i
\(581\) 0.589848 11.9974i 0.0244710 0.497737i
\(582\) 6.11510 + 3.89748i 0.253479 + 0.161556i
\(583\) −3.81313 2.59975i −0.157924 0.107671i
\(584\) −1.12260 1.04162i −0.0464534 0.0431024i
\(585\) −16.2823 5.25281i −0.673190 0.217177i
\(586\) 7.61001 + 2.98671i 0.314366 + 0.123380i
\(587\) 15.0233 0.620076 0.310038 0.950724i \(-0.399658\pi\)
0.310038 + 0.950724i \(0.399658\pi\)
\(588\) 3.66069 + 11.5585i 0.150964 + 0.476665i
\(589\) −1.72210 −0.0709578
\(590\) 28.6136 + 11.2300i 1.17800 + 0.462332i
\(591\) 27.7181 + 5.42952i 1.14017 + 0.223340i
\(592\) −7.65042 7.09855i −0.314430 0.291749i
\(593\) 16.2612 + 11.0867i 0.667766 + 0.455275i 0.849160 0.528136i \(-0.177109\pi\)
−0.181394 + 0.983410i \(0.558061\pi\)
\(594\) −21.8854 22.7470i −0.897969 0.933322i
\(595\) −3.66551 1.02838i −0.150271 0.0421595i
\(596\) 4.89039 + 10.1550i 0.200318 + 0.415965i
\(597\) −6.49784 + 23.6407i −0.265939 + 0.967551i
\(598\) 4.92837 + 7.22859i 0.201536 + 0.295599i
\(599\) 0.00676468 + 0.0448807i 0.000276397 + 0.00183378i 0.988969 0.148125i \(-0.0473239\pi\)
−0.988692 + 0.149959i \(0.952086\pi\)
\(600\) −6.38493 8.76881i −0.260664 0.357985i
\(601\) 29.0556 23.1711i 1.18520 0.945167i 0.185902 0.982568i \(-0.440479\pi\)
0.999300 + 0.0374012i \(0.0119079\pi\)
\(602\) 18.7573 + 3.77740i 0.764491 + 0.153955i
\(603\) −18.3258 + 14.2324i −0.746285 + 0.579590i
\(604\) 0.192556 + 2.56948i 0.00783500 + 0.104551i
\(605\) −83.0698 25.6237i −3.37727 1.04175i
\(606\) −18.7037 13.9907i −0.759784 0.568334i
\(607\) −35.5343 + 20.5158i −1.44229 + 0.832709i −0.998003 0.0631736i \(-0.979878\pi\)
−0.444291 + 0.895882i \(0.646544\pi\)
\(608\) 0.253104 + 1.10892i 0.0102647 + 0.0449727i
\(609\) −20.9510 27.2733i −0.848976 1.10517i
\(610\) 3.81327 16.7070i 0.154395 0.676448i
\(611\) 2.70455 + 8.76794i 0.109414 + 0.354713i
\(612\) −0.175329 1.27429i −0.00708724 0.0515101i
\(613\) 3.02797 + 7.71513i 0.122298 + 0.311611i 0.978891 0.204382i \(-0.0655183\pi\)
−0.856593 + 0.515993i \(0.827423\pi\)
\(614\) −15.8392 + 4.88576i −0.639219 + 0.197173i
\(615\) −20.7804 + 58.1834i −0.837947 + 2.34618i
\(616\) −5.48592 + 15.1073i −0.221034 + 0.608690i
\(617\) −32.2054 + 7.35068i −1.29654 + 0.295927i −0.814471 0.580205i \(-0.802973\pi\)
−0.482071 + 0.876132i \(0.660115\pi\)
\(618\) −4.07810 9.51366i −0.164045 0.382696i
\(619\) −34.8424 20.1163i −1.40043 0.808541i −0.405997 0.913875i \(-0.633076\pi\)
−0.994437 + 0.105334i \(0.966409\pi\)
\(620\) 1.49765 4.85526i 0.0601470 0.194992i
\(621\) 25.7019 + 7.42138i 1.03138 + 0.297810i
\(622\) 12.4725 + 9.94650i 0.500102 + 0.398818i
\(623\) 9.07075 4.65880i 0.363412 0.186651i
\(624\) −2.50219 + 1.54987i −0.100168 + 0.0620443i
\(625\) 12.5301 11.6262i 0.501204 0.465050i
\(626\) 14.1930 2.13925i 0.567267 0.0855018i
\(627\) 10.6169 5.52409i 0.423998 0.220611i
\(628\) 0.0555555 0.368587i 0.00221691 0.0147082i
\(629\) −4.03162 + 1.94152i −0.160751 + 0.0774137i
\(630\) 19.7569 + 17.8664i 0.787133 + 0.711814i
\(631\) 29.6267 + 14.2675i 1.17942 + 0.567979i 0.917742 0.397176i \(-0.130010\pi\)
0.261678 + 0.965155i \(0.415724\pi\)
\(632\) 2.68063 3.93176i 0.106630 0.156397i
\(633\) −22.1567 26.0842i −0.880651 1.03675i
\(634\) 1.01059 13.4854i 0.0401358 0.535575i
\(635\) 9.51300 24.2387i 0.377512 0.961885i
\(636\) −0.155737 + 1.30659i −0.00617539 + 0.0518097i
\(637\) −4.08498 11.1718i −0.161853 0.442644i
\(638\) 45.5907i 1.80495i
\(639\) 33.4558 + 23.4461i 1.32349 + 0.927512i
\(640\) −3.34659 0.250792i −0.132286 0.00991344i
\(641\) −6.74990 + 7.27466i −0.266605 + 0.287332i −0.852139 0.523316i \(-0.824695\pi\)
0.585533 + 0.810648i \(0.300885\pi\)
\(642\) −2.02147 1.76238i −0.0797811 0.0695556i
\(643\) −9.58956 + 19.9129i −0.378175 + 0.785289i 0.621822 + 0.783158i \(0.286393\pi\)
−0.999998 + 0.00213095i \(0.999322\pi\)
\(644\) −2.37528 13.4127i −0.0935992 0.528535i
\(645\) 39.7667 13.6284i 1.56581 0.536618i
\(646\) 0.482246 + 0.0726869i 0.0189737 + 0.00285983i
\(647\) 35.2705 24.0470i 1.38663 0.945387i 0.386898 0.922122i \(-0.373546\pi\)
0.999729 0.0232643i \(-0.00740593\pi\)
\(648\) −2.87324 + 8.52904i −0.112871 + 0.335052i
\(649\) −37.8457 40.7880i −1.48557 1.60107i
\(650\) 6.63524 + 8.32033i 0.260256 + 0.326350i
\(651\) −0.644030 + 6.90813i −0.0252415 + 0.270751i
\(652\) 3.10568 3.89440i 0.121628 0.152516i
\(653\) 4.00712 0.300292i 0.156811 0.0117513i 0.00390654 0.999992i \(-0.498757\pi\)
0.152904 + 0.988241i \(0.451137\pi\)
\(654\) −0.616730 + 1.38910i −0.0241160 + 0.0543183i
\(655\) 10.9199 18.9138i 0.426675 0.739022i
\(656\) 5.31446 + 9.20491i 0.207495 + 0.359392i
\(657\) 4.59382 + 0.0591197i 0.179222 + 0.00230648i
\(658\) 1.76585 14.1763i 0.0688400 0.552652i
\(659\) 26.9459 + 6.15023i 1.04966 + 0.239579i 0.712358 0.701816i \(-0.247627\pi\)
0.337306 + 0.941395i \(0.390484\pi\)
\(660\) 6.34141 + 34.7372i 0.246839 + 1.35215i
\(661\) 2.38724 0.936921i 0.0928527 0.0364420i −0.318460 0.947936i \(-0.603166\pi\)
0.411313 + 0.911494i \(0.365070\pi\)
\(662\) 15.6801 6.15400i 0.609426 0.239182i
\(663\) 0.226635 + 1.24147i 0.00880176 + 0.0482147i
\(664\) −4.42625 1.01026i −0.171772 0.0392058i
\(665\) −8.61382 + 5.27257i −0.334030 + 0.204462i
\(666\) 31.3066 + 0.402897i 1.21311 + 0.0156119i
\(667\) 19.3190 + 33.4615i 0.748035 + 1.29563i
\(668\) −11.3468 + 19.6532i −0.439021 + 0.760406i
\(669\) −12.9732 + 29.2204i −0.501571 + 1.12973i
\(670\) 25.8841 1.93975i 0.999990 0.0749389i
\(671\) −19.3407 + 24.2525i −0.746639 + 0.936256i
\(672\) 4.54305 0.600602i 0.175252 0.0231687i
\(673\) 1.16426 + 1.45994i 0.0448790 + 0.0562765i 0.803764 0.594948i \(-0.202827\pi\)
−0.758885 + 0.651224i \(0.774256\pi\)
\(674\) −21.5354 23.2097i −0.829514 0.894003i
\(675\) 31.8512 + 6.66583i 1.22595 + 0.256568i
\(676\) −8.35519 + 5.69647i −0.321353 + 0.219095i
\(677\) 29.0147 + 4.37325i 1.11512 + 0.168078i 0.680651 0.732607i \(-0.261697\pi\)
0.434472 + 0.900685i \(0.356935\pi\)
\(678\) 24.3215 8.33518i 0.934060 0.320111i
\(679\) 6.47275 + 8.98897i 0.248401 + 0.344965i
\(680\) −0.624326 + 1.29643i −0.0239418 + 0.0497156i
\(681\) −17.7672 15.4900i −0.680842 0.593580i
\(682\) −6.25581 + 6.74216i −0.239547 + 0.258171i
\(683\) 15.8189 + 1.18546i 0.605293 + 0.0453605i 0.373852 0.927488i \(-0.378037\pi\)
0.231441 + 0.972849i \(0.425656\pi\)
\(684\) −2.79442 1.95835i −0.106847 0.0748793i
\(685\) 16.3211i 0.623599i
\(686\) −1.34293 + 18.4715i −0.0512732 + 0.705245i
\(687\) 1.02506 8.59996i 0.0391086 0.328109i
\(688\) 2.64212 6.73201i 0.100730 0.256656i
\(689\) 0.0964745 1.28736i 0.00367538 0.0490446i
\(690\) −19.3742 22.8084i −0.737562 0.868301i
\(691\) −10.6751 + 15.6576i −0.406101 + 0.595641i −0.973747 0.227631i \(-0.926902\pi\)
0.567646 + 0.823273i \(0.307854\pi\)
\(692\) 4.55160 + 2.19194i 0.173026 + 0.0833249i
\(693\) −18.1892 44.6552i −0.690950 1.69631i
\(694\) 6.76985 3.26019i 0.256980 0.123755i
\(695\) −5.29425 + 35.1251i −0.200822 + 1.33237i
\(696\) −11.5313 + 5.99984i −0.437091 + 0.227424i
\(697\) 4.50640 0.679231i 0.170692 0.0257277i
\(698\) −17.9763 + 16.6796i −0.680414 + 0.631332i
\(699\) −17.3805 + 10.7656i −0.657392 + 0.407191i
\(700\) −4.10048 16.0538i −0.154984 0.606777i
\(701\) 18.7410 + 14.9454i 0.707837 + 0.564481i 0.909868 0.414898i \(-0.136183\pi\)
−0.202031 + 0.979379i \(0.564754\pi\)
\(702\) 2.44955 8.48335i 0.0924524 0.320183i
\(703\) −3.49897 + 11.3434i −0.131966 + 0.427823i
\(704\) 5.26096 + 3.03742i 0.198280 + 0.114477i
\(705\) −12.3657 28.8475i −0.465720 1.08646i
\(706\) −1.12117 + 0.255901i −0.0421960 + 0.00963096i
\(707\) −18.6269 30.4307i −0.700535 1.14447i
\(708\) −5.33591 + 14.9401i −0.200536 + 0.561484i
\(709\) 5.17515 1.59632i 0.194357 0.0599511i −0.196049 0.980594i \(-0.562811\pi\)
0.390405 + 0.920643i \(0.372335\pi\)
\(710\) −16.6965 42.5420i −0.626608 1.59657i
\(711\) 1.94588 + 14.1426i 0.0729761 + 0.530390i
\(712\) −1.13604 3.68295i −0.0425749 0.138024i
\(713\) 1.73450 7.59934i 0.0649575 0.284597i
\(714\) 0.471931 1.90733i 0.0176616 0.0713800i
\(715\) −7.70902 33.7754i −0.288301 1.26313i
\(716\) 5.02460 2.90095i 0.187778 0.108414i
\(717\) 34.1830 + 25.5696i 1.27659 + 0.954914i
\(718\) −6.93121 2.13799i −0.258670 0.0797892i
\(719\) −1.80845 24.1321i −0.0674438 0.899976i −0.923624 0.383299i \(-0.874788\pi\)
0.856181 0.516677i \(-0.172831\pi\)
\(720\) 7.95155 6.17544i 0.296337 0.230145i
\(721\) −0.405907 15.8060i −0.0151168 0.588647i
\(722\) −13.8433 + 11.0397i −0.515194 + 0.410853i
\(723\) −4.92206 6.75976i −0.183053 0.251398i
\(724\) −3.71593 24.6536i −0.138101 0.916242i
\(725\) 26.4758 + 38.8329i 0.983287 + 1.44222i
\(726\) 11.8909 43.2620i 0.441312 1.60560i
\(727\) −17.8143 36.9918i −0.660696 1.37195i −0.914457 0.404682i \(-0.867382\pi\)
0.253762 0.967267i \(-0.418332\pi\)
\(728\) −4.42709 + 0.784001i −0.164079 + 0.0290570i
\(729\) −10.7672 24.7602i −0.398786 0.917044i
\(730\) −4.24633 2.89510i −0.157164 0.107152i
\(731\) −2.27304 2.10908i −0.0840716 0.0780070i
\(732\) 8.67946 + 1.70016i 0.320802 + 0.0628397i
\(733\) −11.8264 4.64152i −0.436818 0.171438i 0.136734 0.990608i \(-0.456340\pi\)
−0.573551 + 0.819170i \(0.694435\pi\)
\(734\) −10.7392 −0.396390
\(735\) 17.9293 + 36.5258i 0.661333 + 1.34728i
\(736\) −5.14841 −0.189773
\(737\) −43.7377 17.1658i −1.61110 0.632310i
\(738\) −30.3467 9.79011i −1.11708 0.360379i
\(739\) 31.9702 + 29.6640i 1.17604 + 1.09121i 0.994163 + 0.107889i \(0.0344091\pi\)
0.181881 + 0.983321i \(0.441781\pi\)
\(740\) −28.9384 19.7299i −1.06380 0.725285i
\(741\) 2.82317 + 1.79936i 0.103712 + 0.0661010i
\(742\) −0.959970 + 1.76592i −0.0352416 + 0.0648289i
\(743\) −6.68687 13.8854i −0.245318 0.509407i 0.741558 0.670889i \(-0.234087\pi\)
−0.986876 + 0.161481i \(0.948373\pi\)
\(744\) 2.52858 + 0.694998i 0.0927021 + 0.0254799i
\(745\) 21.3081 + 31.2532i 0.780668 + 1.14503i
\(746\) 3.84086 + 25.4824i 0.140624 + 0.932978i
\(747\) 11.8821 6.65777i 0.434745 0.243595i
\(748\) 2.03642 1.62399i 0.0744588 0.0593789i
\(749\) −1.87161 3.64406i −0.0683873 0.133151i
\(750\) −5.15593 5.22271i −0.188268 0.190707i
\(751\) 1.03453 + 13.8048i 0.0377505 + 0.503745i 0.983746 + 0.179565i \(0.0574691\pi\)
−0.945996 + 0.324180i \(0.894912\pi\)
\(752\) −5.15968 1.59155i −0.188154 0.0580378i
\(753\) 11.5649 15.4607i 0.421449 0.563419i
\(754\) 11.0445 6.37656i 0.402218 0.232221i
\(755\) 1.92420 + 8.43049i 0.0700290 + 0.306817i
\(756\) −8.90089 + 10.4773i −0.323722 + 0.381056i
\(757\) 0.232315 1.01784i 0.00844363 0.0369940i −0.970531 0.240978i \(-0.922532\pi\)
0.978974 + 0.203984i \(0.0653890\pi\)
\(758\) 11.3308 + 36.7335i 0.411553 + 1.33422i
\(759\) 13.6836 + 52.4145i 0.496682 + 1.90253i
\(760\) 1.39458 + 3.55334i 0.0505869 + 0.128893i
\(761\) 0.342826 0.105748i 0.0124274 0.00383336i −0.288535 0.957469i \(-0.593168\pi\)
0.300963 + 0.953636i \(0.402692\pi\)
\(762\) 12.6559 + 4.52009i 0.458473 + 0.163745i
\(763\) −1.66077 + 1.62227i −0.0601239 + 0.0587302i
\(764\) −17.6516 + 4.02887i −0.638613 + 0.145759i
\(765\) −1.21920 4.14102i −0.0440804 0.149719i
\(766\) −15.9263 9.19508i −0.575442 0.332232i
\(767\) 4.58774 14.8731i 0.165654 0.537036i
\(768\) 0.0758988 1.73039i 0.00273876 0.0624400i
\(769\) 27.5822 + 21.9960i 0.994639 + 0.793198i 0.978411 0.206671i \(-0.0662628\pi\)
0.0162280 + 0.999868i \(0.494834\pi\)
\(770\) −10.6486 + 52.8774i −0.383748 + 1.90557i
\(771\) 3.95104 + 6.37879i 0.142293 + 0.229726i
\(772\) 4.30927 3.99842i 0.155094 0.143906i
\(773\) 46.8883 7.06728i 1.68646 0.254192i 0.765381 0.643577i \(-0.222551\pi\)
0.921075 + 0.389385i \(0.127312\pi\)
\(774\) 7.66582 + 20.2964i 0.275542 + 0.729538i
\(775\) 1.41316 9.37572i 0.0507623 0.336786i
\(776\) 3.77207 1.81653i 0.135409 0.0652097i
\(777\) 44.1950 + 18.2782i 1.58549 + 0.655725i
\(778\) −12.6279 6.08130i −0.452734 0.218025i
\(779\) 6.81039 9.98901i 0.244008 0.357893i
\(780\) −7.52829 + 6.39477i −0.269556 + 0.228970i
\(781\) −6.18213 + 82.4948i −0.221214 + 2.95190i
\(782\) −0.806474 + 2.05486i −0.0288395 + 0.0734818i
\(783\) 13.5877 36.5525i 0.485586 1.30628i
\(784\) 6.78610 + 1.71724i 0.242361 + 0.0613299i
\(785\) 1.25094i 0.0446480i
\(786\) 9.93139 + 5.33092i 0.354241 + 0.190148i
\(787\) 33.7961 + 2.53266i 1.20470 + 0.0902797i 0.661906 0.749587i \(-0.269748\pi\)
0.542793 + 0.839866i \(0.317367\pi\)
\(788\) 11.0917 11.9540i 0.395126 0.425845i
\(789\) −8.50671 + 9.75728i −0.302847 + 0.347369i
\(790\) 6.92905 14.3883i 0.246524 0.511913i
\(791\) 39.2254 + 1.92850i 1.39470 + 0.0685695i
\(792\) −17.8183 + 3.82636i −0.633146 + 0.135964i
\(793\) −8.58035 1.29328i −0.304697 0.0459257i
\(794\) −21.1264 + 14.4037i −0.749747 + 0.511169i
\(795\) 0.136720 + 4.41380i 0.00484895 + 0.156541i
\(796\) 9.62796 + 10.3765i 0.341254 + 0.367784i
\(797\) 7.45344 + 9.34631i 0.264014 + 0.331063i 0.896114 0.443823i \(-0.146378\pi\)
−0.632100 + 0.774887i \(0.717807\pi\)
\(798\) −2.85756 4.35929i −0.101157 0.154317i
\(799\) −1.44347 + 1.81005i −0.0510662 + 0.0640350i
\(800\) −6.24506 + 0.468002i −0.220796 + 0.0165464i
\(801\) 9.93823 + 5.90965i 0.351150 + 0.208807i
\(802\) −0.107337 + 0.185913i −0.00379019 + 0.00656480i
\(803\) 4.65151 + 8.05665i 0.164148 + 0.284313i
\(804\) 1.41425 + 13.3216i 0.0498766 + 0.469818i
\(805\) −14.5912 43.3219i −0.514271 1.52690i
\(806\) −2.50829 0.572500i −0.0883507 0.0201655i
\(807\) −26.1063 + 4.76579i −0.918984 + 0.167764i
\(808\) −12.5532 + 4.92677i −0.441620 + 0.173323i
\(809\) 20.2985 7.96657i 0.713657 0.280090i 0.0193947 0.999812i \(-0.493826\pi\)
0.694262 + 0.719722i \(0.255731\pi\)
\(810\) −5.26875 + 29.7407i −0.185125 + 1.04498i
\(811\) −50.1009 11.4352i −1.75928 0.401544i −0.783691 0.621151i \(-0.786665\pi\)
−0.975588 + 0.219608i \(0.929522\pi\)
\(812\) −19.7558 + 1.99167i −0.693293 + 0.0698938i
\(813\) 14.2623 1.51411i 0.500200 0.0531020i
\(814\) 31.6997 + 54.9055i 1.11107 + 1.92444i
\(815\) 8.35826 14.4769i 0.292777 0.507105i
\(816\) −0.678753 0.301350i −0.0237611 0.0105494i
\(817\) −8.20287 + 0.614720i −0.286982 + 0.0215063i
\(818\) 0.295551 0.370609i 0.0103337 0.0129580i
\(819\) 8.27385 10.6521i 0.289112 0.372215i
\(820\) 22.2401 + 27.8882i 0.776659 + 0.973899i
\(821\) −13.2087 14.2356i −0.460988 0.496827i 0.459184 0.888341i \(-0.348142\pi\)
−0.920172 + 0.391514i \(0.871951\pi\)
\(822\) 8.41946 0.260797i 0.293662 0.00909633i
\(823\) −23.7734 + 16.2085i −0.828690 + 0.564991i −0.901711 0.432339i \(-0.857688\pi\)
0.0730209 + 0.997330i \(0.476736\pi\)
\(824\) −5.90933 0.890689i −0.205861 0.0310286i
\(825\) 21.3629 + 62.3353i 0.743759 + 2.17024i
\(826\) −16.0213 + 18.1815i −0.557453 + 0.632616i
\(827\) −13.5474 + 28.1315i −0.471090 + 0.978228i 0.521100 + 0.853495i \(0.325522\pi\)
−0.992190 + 0.124733i \(0.960193\pi\)
\(828\) 11.4564 10.3589i 0.398138 0.359995i
\(829\) −5.43685 + 5.85953i −0.188830 + 0.203510i −0.820370 0.571833i \(-0.806233\pi\)
0.631540 + 0.775343i \(0.282423\pi\)
\(830\) −15.1938 1.13862i −0.527384 0.0395220i
\(831\) 9.98509 18.6020i 0.346379 0.645296i
\(832\) 1.69932i 0.0589133i
\(833\) 1.74840 2.43951i 0.0605786 0.0845240i
\(834\) −18.2043 2.16984i −0.630363 0.0751353i
\(835\) −27.8240 + 70.8945i −0.962891 + 2.45341i
\(836\) 0.516366 6.89043i 0.0178589 0.238311i
\(837\) −7.02504 + 3.54109i −0.242821 + 0.122398i
\(838\) −2.75706 + 4.04386i −0.0952410 + 0.139693i
\(839\) −36.2090 17.4373i −1.25007 0.602004i −0.312543 0.949904i \(-0.601181\pi\)
−0.937532 + 0.347900i \(0.886895\pi\)
\(840\) 14.7757 4.26544i 0.509808 0.147172i
\(841\) 24.6169 11.8549i 0.848857 0.408788i
\(842\) −3.38388 + 22.4506i −0.116616 + 0.773697i
\(843\) −6.59605 12.6771i −0.227180 0.436623i
\(844\) −19.5387 + 2.94499i −0.672551 + 0.101371i
\(845\) −24.8773 + 23.0828i −0.855807 + 0.794073i
\(846\) 14.6838 6.83996i 0.504838 0.235163i
\(847\) 41.3410 54.6618i 1.42049 1.87820i
\(848\) 0.593957 + 0.473665i 0.0203966 + 0.0162657i
\(849\) −20.5716 0.902319i −0.706016 0.0309675i
\(850\) −0.791467 + 2.56587i −0.0271471 + 0.0880088i
\(851\) −46.5323 26.8654i −1.59511 0.920935i
\(852\) 21.6790 9.29287i 0.742710 0.318368i
\(853\) −19.7114 + 4.49899i −0.674905 + 0.154043i −0.546218 0.837643i \(-0.683933\pi\)
−0.128686 + 0.991685i \(0.541076\pi\)
\(854\) 11.3542 + 7.32141i 0.388534 + 0.250534i
\(855\) −10.2528 5.10104i −0.350638 0.174452i
\(856\) −1.47958 + 0.456389i −0.0505709 + 0.0155991i
\(857\) 1.88795 + 4.81041i 0.0644910 + 0.164320i 0.959486 0.281755i \(-0.0909165\pi\)
−0.894995 + 0.446075i \(0.852821\pi\)
\(858\) 17.3003 4.51649i 0.590622 0.154190i
\(859\) 0.618200 + 2.00416i 0.0210927 + 0.0683809i 0.965507 0.260376i \(-0.0838465\pi\)
−0.944415 + 0.328757i \(0.893370\pi\)
\(860\) 5.40062 23.6617i 0.184160 0.806856i
\(861\) −37.5236 31.0553i −1.27880 1.05836i
\(862\) −1.01961 4.46720i −0.0347280 0.152153i
\(863\) 15.6685 9.04624i 0.533363 0.307938i −0.209022 0.977911i \(-0.567028\pi\)
0.742385 + 0.669973i \(0.233695\pi\)
\(864\) 3.31273 + 4.00322i 0.112701 + 0.136192i
\(865\) 16.2008 + 4.99729i 0.550845 + 0.169913i
\(866\) 0.195045 + 2.60269i 0.00662789 + 0.0884431i
\(867\) 20.7276 20.4626i 0.703946 0.694945i
\(868\) 3.19487 + 2.41629i 0.108441 + 0.0820144i
\(869\) −22.6011 + 18.0238i −0.766689 + 0.611414i
\(870\) −35.2654 + 25.6782i −1.19561 + 0.870571i
\(871\) −1.95891 12.9965i −0.0663752 0.440371i
\(872\) 0.494308 + 0.725016i 0.0167394 + 0.0245522i
\(873\) −4.73877 + 11.6318i −0.160383 + 0.393677i
\(874\) 2.54082 + 5.27607i 0.0859446 + 0.178466i
\(875\) −4.36219 10.3269i −0.147469 0.349114i
\(876\) 1.42562 2.23678i 0.0481672 0.0755738i
\(877\) −34.1877 23.3088i −1.15444 0.787081i −0.174160 0.984717i \(-0.555721\pi\)
−0.980275 + 0.197637i \(0.936673\pi\)
\(878\) 16.5380 + 15.3450i 0.558129 + 0.517868i
\(879\) −2.72192 + 13.8956i −0.0918082 + 0.468689i
\(880\) 18.9777 + 7.44821i 0.639739 + 0.251079i
\(881\) −39.2899 −1.32371 −0.661855 0.749632i \(-0.730231\pi\)
−0.661855 + 0.749632i \(0.730231\pi\)
\(882\) −18.5558 + 9.83271i −0.624806 + 0.331085i
\(883\) −40.7212 −1.37038 −0.685188 0.728366i \(-0.740280\pi\)
−0.685188 + 0.728366i \(0.740280\pi\)
\(884\) 0.678242 + 0.266190i 0.0228118 + 0.00895295i
\(885\) −10.2344 + 52.2475i −0.344026 + 1.75628i
\(886\) 16.7571 + 15.5483i 0.562965 + 0.522355i
\(887\) −29.7455 20.2801i −0.998755 0.680939i −0.0505901 0.998719i \(-0.516110\pi\)
−0.948164 + 0.317780i \(0.897063\pi\)
\(888\) 9.71549 15.2435i 0.326030 0.511538i
\(889\) 15.4017 + 13.5718i 0.516556 + 0.455182i
\(890\) −5.61208 11.6536i −0.188118 0.390630i
\(891\) 31.9510 44.3658i 1.07040 1.48631i
\(892\) 10.3980 + 15.2510i 0.348150 + 0.510642i
\(893\) 0.915368 + 6.07307i 0.0306316 + 0.203228i
\(894\) −15.7819 + 11.4914i −0.527825 + 0.384331i
\(895\) 15.2231 12.1400i 0.508852 0.405796i
\(896\) 1.08637 2.41242i 0.0362932 0.0805934i
\(897\) −10.7838 + 10.6459i −0.360059 + 0.355455i
\(898\) −2.08520 27.8250i −0.0695839 0.928533i
\(899\) −10.8576 3.34914i −0.362122 0.111700i
\(900\) 12.9551 13.6068i 0.431835 0.453559i
\(901\) 0.282093 0.162866i 0.00939786 0.00542586i
\(902\) −14.3679 62.9501i −0.478400 2.09601i
\(903\) −0.601784 + 33.1354i −0.0200261 + 1.10268i
\(904\) 3.30304 14.4716i 0.109857 0.481317i
\(905\) −24.6625 79.9540i −0.819811 2.65776i
\(906\) −4.31822 + 1.12734i −0.143463 + 0.0374532i
\(907\) −5.64256 14.3770i −0.187358 0.477381i 0.806072 0.591817i \(-0.201589\pi\)
−0.993431 + 0.114436i \(0.963494\pi\)
\(908\) −13.0044 + 4.01133i −0.431566 + 0.133121i
\(909\) 18.0209 36.2208i 0.597714 1.20137i
\(910\) −14.2991 + 4.81605i −0.474011 + 0.159651i
\(911\) 1.50200 0.342821i 0.0497633 0.0113582i −0.197567 0.980289i \(-0.563304\pi\)
0.247330 + 0.968931i \(0.420447\pi\)
\(912\) −1.81075 + 0.776193i −0.0599600 + 0.0257023i
\(913\) 23.8852 + 13.7901i 0.790485 + 0.456387i
\(914\) −2.70977 + 8.78486i −0.0896312 + 0.290577i
\(915\) 29.6531 + 1.30065i 0.980301 + 0.0429983i
\(916\) −3.90942 3.11766i −0.129171 0.103010i
\(917\) 11.0772 + 13.1814i 0.365800 + 0.435288i
\(918\) 2.11671 0.695111i 0.0698620 0.0229421i
\(919\) 1.46383 1.35823i 0.0482872 0.0448040i −0.655660 0.755056i \(-0.727610\pi\)
0.703947 + 0.710252i \(0.251419\pi\)
\(920\) −17.0850 + 2.57514i −0.563274 + 0.0848999i
\(921\) −13.2516 25.4686i −0.436656 0.839220i
\(922\) −3.03922 + 20.1639i −0.100091 + 0.664063i
\(923\) −20.8494 + 10.0405i −0.686265 + 0.330488i
\(924\) −27.4476 4.64827i −0.902959 0.152917i
\(925\) −58.8861 28.3581i −1.93616 0.932407i
\(926\) 12.1818 17.8674i 0.400318 0.587159i
\(927\) 14.9417 9.90789i 0.490751 0.325418i
\(928\) −0.560838 + 7.48386i −0.0184104 + 0.245670i
\(929\) 14.1325 36.0090i 0.463672 1.18142i −0.487602 0.873066i \(-0.662128\pi\)
0.951273 0.308350i \(-0.0997766\pi\)
\(930\) 8.73868 + 1.04160i 0.286553 + 0.0341553i
\(931\) −1.58923 7.80185i −0.0520848 0.255695i
\(932\) 11.8037i 0.386642i
\(933\) −13.0682 + 24.3457i −0.427832 + 0.797042i
\(934\) 30.1712 + 2.26102i 0.987232 + 0.0739828i
\(935\) 5.94554 6.40777i 0.194440 0.209557i
\(936\) −3.41911 3.78138i −0.111757 0.123598i
\(937\) 11.8574 24.6221i 0.387364 0.804369i −0.612539 0.790440i \(-0.709852\pi\)
0.999903 0.0139288i \(-0.00443382\pi\)
\(938\) −5.52773 + 19.7027i −0.180487 + 0.643317i
\(939\) 8.05982 + 23.5180i 0.263022 + 0.767479i
\(940\) −17.9184 2.70077i −0.584434 0.0880893i
\(941\) 43.9399 29.9577i 1.43240 0.976593i 0.435315 0.900278i \(-0.356637\pi\)
0.997084 0.0763149i \(-0.0243154\pi\)
\(942\) 0.645313 0.0199889i 0.0210254 0.000651272i
\(943\) 37.2204 + 40.1141i 1.21206 + 1.30629i
\(944\) 5.71074 + 7.16104i 0.185869 + 0.233072i
\(945\) −24.2970 + 39.2210i −0.790380 + 1.27586i
\(946\) −27.3917 + 34.3480i −0.890579 + 1.11675i
\(947\) −34.4092 + 2.57861i −1.11815 + 0.0837937i −0.620955 0.783846i \(-0.713255\pi\)
−0.497194 + 0.867640i \(0.665636\pi\)
\(948\) 7.53311 + 3.34452i 0.244664 + 0.108625i
\(949\) −1.30117 + 2.25369i −0.0422378 + 0.0731579i
\(950\) 3.56164 + 6.16895i 0.115555 + 0.200147i
\(951\) 23.2921 2.47272i 0.755297 0.0801835i
\(952\) −0.792685 0.811495i −0.0256911 0.0263007i
\(953\) 36.3873 + 8.30516i 1.17870 + 0.269031i 0.766610 0.642113i \(-0.221942\pi\)
0.412090 + 0.911143i \(0.364799\pi\)
\(954\) −2.27473 + 0.141057i −0.0736471 + 0.00456689i
\(955\) −56.5616 + 22.1988i −1.83029 + 0.718336i
\(956\) 22.9424 9.00421i 0.742009 0.291217i
\(957\) 77.6816 14.1810i 2.51109 0.458408i
\(958\) 25.3962 + 5.79651i 0.820513 + 0.187277i
\(959\) 12.0944 + 4.39184i 0.390548 + 0.141820i
\(960\) −0.613639 5.78024i −0.0198051 0.186556i
\(961\) −14.3539 24.8617i −0.463028 0.801989i
\(962\) −8.86738 + 15.3588i −0.285896 + 0.495186i
\(963\) 2.37413 3.99256i 0.0765051 0.128658i
\(964\) −4.81423 + 0.360777i −0.155056 + 0.0116198i
\(965\) 12.3003 15.4241i 0.395962 0.496521i
\(966\) 22.1150 8.21927i 0.711538 0.264451i
\(967\) 6.76383 + 8.48158i 0.217510 + 0.272749i 0.878601 0.477557i \(-0.158478\pi\)
−0.661091 + 0.750306i \(0.729906\pi\)
\(968\) −17.6190 18.9887i −0.566295 0.610320i
\(969\) 0.0261527 + 0.844305i 0.000840147 + 0.0271230i
\(970\) 11.6090 7.91487i 0.372742 0.254131i
\(971\) −37.7495 5.68982i −1.21144 0.182595i −0.487913 0.872893i \(-0.662242\pi\)
−0.723526 + 0.690298i \(0.757480\pi\)
\(972\) −15.4263 2.24272i −0.494798 0.0719352i
\(973\) −24.6039 13.3749i −0.788766 0.428781i
\(974\) 7.96629 16.5422i 0.255256 0.530045i
\(975\) −12.1130 + 13.8938i −0.387928 + 0.444957i
\(976\) 3.47318 3.74320i 0.111174 0.119817i
\(977\) 33.3427 + 2.49869i 1.06673 + 0.0799403i 0.596507 0.802608i \(-0.296555\pi\)
0.470222 + 0.882548i \(0.344174\pi\)
\(978\) 7.60165 + 4.08038i 0.243074 + 0.130476i
\(979\) 23.4135i 0.748299i
\(980\) 23.3785 + 2.30436i 0.746800 + 0.0736100i
\(981\) −2.55872 0.618757i −0.0816936 0.0197554i
\(982\) 1.85778 4.73356i 0.0592843 0.151054i
\(983\) −2.05579 + 27.4326i −0.0655694 + 0.874963i 0.863332 + 0.504636i \(0.168373\pi\)
−0.928902 + 0.370327i \(0.879246\pi\)
\(984\) −14.0311 + 11.9185i −0.447295 + 0.379947i
\(985\) 30.8286 45.2172i 0.982281 1.44074i
\(986\) 2.89915 + 1.39616i 0.0923277 + 0.0444627i
\(987\) 24.7042 1.40076i 0.786344 0.0445866i
\(988\) 1.74146 0.838641i 0.0554031 0.0266807i
\(989\) 5.54928 36.8171i 0.176457 1.17072i
\(990\) −57.2160 + 21.6101i −1.81844 + 0.686815i
\(991\) 20.7878 3.13325i 0.660345 0.0995311i 0.189684 0.981845i \(-0.439254\pi\)
0.470661 + 0.882314i \(0.344015\pi\)
\(992\) 1.10985 1.02979i 0.0352378 0.0326959i
\(993\) 15.3631 + 24.8031i 0.487533 + 0.787101i
\(994\) 36.0175 0.924949i 1.14241 0.0293376i
\(995\) 37.1404 + 29.6185i 1.17743 + 0.938970i
\(996\) 0.344587 7.85610i 0.0109187 0.248930i
\(997\) −10.6964 + 34.6769i −0.338759 + 1.09823i 0.612665 + 0.790343i \(0.290098\pi\)
−0.951423 + 0.307885i \(0.900379\pi\)
\(998\) 11.2621 + 6.50218i 0.356495 + 0.205823i
\(999\) 9.05147 + 53.4684i 0.286376 + 1.69166i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 294.2.p.a.101.13 yes 216
3.2 odd 2 inner 294.2.p.a.101.5 216
49.33 odd 42 inner 294.2.p.a.131.5 yes 216
147.131 even 42 inner 294.2.p.a.131.13 yes 216
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
294.2.p.a.101.5 216 3.2 odd 2 inner
294.2.p.a.101.13 yes 216 1.1 even 1 trivial
294.2.p.a.131.5 yes 216 49.33 odd 42 inner
294.2.p.a.131.13 yes 216 147.131 even 42 inner