Properties

Label 378.2.w.a.277.2
Level $378$
Weight $2$
Character 378.277
Analytic conductor $3.018$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(25,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([10, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.w (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(12\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 277.2
Character \(\chi\) \(=\) 378.277
Dual form 378.2.w.a.247.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-1.48870 - 0.885314i) q^{3} +(0.173648 + 0.984808i) q^{4} +(2.34213 - 1.96528i) q^{5} +(-0.571340 - 1.63511i) q^{6} +(-0.657693 - 2.56270i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.43244 + 2.63593i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-1.48870 - 0.885314i) q^{3} +(0.173648 + 0.984808i) q^{4} +(2.34213 - 1.96528i) q^{5} +(-0.571340 - 1.63511i) q^{6} +(-0.657693 - 2.56270i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.43244 + 2.63593i) q^{9} +3.05743 q^{10} +(-4.17242 - 3.50108i) q^{11} +(0.613354 - 1.61981i) q^{12} +(-4.37538 - 1.59251i) q^{13} +(1.14345 - 2.38590i) q^{14} +(-5.22661 + 0.852188i) q^{15} +(-0.939693 + 0.342020i) q^{16} +4.60615 q^{17} +(-0.597029 + 2.93999i) q^{18} +6.74710 q^{19} +(2.34213 + 1.96528i) q^{20} +(-1.28969 + 4.39735i) q^{21} +(-0.945811 - 5.36396i) q^{22} +(-0.904876 - 0.329348i) q^{23} +(1.51105 - 0.846593i) q^{24} +(0.755004 - 4.28184i) q^{25} +(-2.32809 - 4.03237i) q^{26} +(0.201154 - 5.19226i) q^{27} +(2.40956 - 1.09271i) q^{28} +(3.72984 - 1.35755i) q^{29} +(-4.55159 - 2.70679i) q^{30} +(-0.672677 - 3.81494i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(3.11192 + 8.90595i) q^{33} +(3.52852 + 2.96078i) q^{34} +(-6.57683 - 4.70963i) q^{35} +(-2.34714 + 1.86840i) q^{36} +(-0.518009 + 0.897218i) q^{37} +(5.16858 + 4.33695i) q^{38} +(5.10375 + 6.24435i) q^{39} +(0.530918 + 3.01098i) q^{40} +(7.97416 + 2.90236i) q^{41} +(-3.81452 + 2.53957i) q^{42} +(0.852099 - 4.83250i) q^{43} +(2.72336 - 4.71699i) q^{44} +(8.53529 + 3.35854i) q^{45} +(-0.481474 - 0.833938i) q^{46} +(-2.33117 + 13.2207i) q^{47} +(1.70171 + 0.322758i) q^{48} +(-6.13488 + 3.37094i) q^{49} +(3.33068 - 2.79477i) q^{50} +(-6.85717 - 4.07789i) q^{51} +(0.808538 - 4.58544i) q^{52} +(-6.76390 + 11.7154i) q^{53} +(3.49161 - 3.84820i) q^{54} -16.6529 q^{55} +(2.54821 + 0.711772i) q^{56} +(-10.0444 - 5.97330i) q^{57} +(3.72984 + 1.35755i) q^{58} +(2.64162 + 0.961470i) q^{59} +(-1.74683 - 4.99923i) q^{60} +(0.771995 - 4.37820i) q^{61} +(1.93690 - 3.35480i) q^{62} +(5.81299 - 5.40455i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-13.3774 + 4.86899i) q^{65} +(-3.34076 + 8.82266i) q^{66} +(1.36515 - 1.14550i) q^{67} +(0.799850 + 4.53618i) q^{68} +(1.05551 + 1.29140i) q^{69} +(-2.01085 - 7.83529i) q^{70} +(5.98189 + 10.3609i) q^{71} +(-2.99900 - 0.0774348i) q^{72} +(-1.72236 - 2.98322i) q^{73} +(-0.973539 + 0.354339i) q^{74} +(-4.91474 + 5.70595i) q^{75} +(1.17162 + 6.64459i) q^{76} +(-6.22804 + 12.9953i) q^{77} +(-0.104091 + 8.06407i) q^{78} +(1.39427 + 1.16993i) q^{79} +(-1.52872 + 2.64781i) q^{80} +(-4.89623 + 7.55162i) q^{81} +(4.24296 + 7.34903i) q^{82} +(-2.94898 + 1.07334i) q^{83} +(-4.55450 - 0.506503i) q^{84} +(10.7882 - 9.05238i) q^{85} +(3.75901 - 3.15419i) q^{86} +(-6.75445 - 1.28109i) q^{87} +(5.11823 - 1.86288i) q^{88} +7.13139 q^{89} +(4.37959 + 8.05917i) q^{90} +(-1.20347 + 12.2602i) q^{91} +(0.167214 - 0.948320i) q^{92} +(-2.37601 + 6.27482i) q^{93} +(-10.2839 + 8.62921i) q^{94} +(15.8026 - 13.2599i) q^{95} +(1.09612 + 1.34109i) q^{96} +(1.32189 - 7.49681i) q^{97} +(-6.86639 - 1.36113i) q^{98} +(3.25185 - 16.0133i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 3 q^{6} - 3 q^{7} - 36 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 3 q^{6} - 3 q^{7} - 36 q^{8} - 12 q^{9} + 12 q^{10} - 6 q^{11} - 12 q^{13} - 3 q^{14} - 6 q^{15} + 24 q^{17} + 36 q^{19} - 12 q^{21} - 6 q^{22} + 12 q^{23} - 30 q^{25} - 18 q^{26} - 6 q^{27} + 3 q^{29} + 3 q^{30} + 9 q^{31} - 18 q^{33} + 9 q^{34} + 9 q^{35} + 9 q^{36} + 3 q^{39} - 6 q^{41} + 3 q^{42} + 24 q^{43} - 30 q^{45} - 9 q^{47} - 6 q^{48} + 51 q^{49} + 6 q^{50} + 12 q^{51} + 6 q^{52} - 15 q^{53} - 27 q^{54} + 72 q^{55} + 6 q^{56} - 63 q^{57} + 3 q^{58} + 15 q^{59} - 3 q^{60} - 18 q^{61} - 24 q^{62} - 48 q^{63} - 36 q^{64} - 18 q^{65} - 36 q^{66} + 66 q^{67} - 18 q^{68} - 21 q^{69} - 6 q^{70} + 12 q^{71} - 12 q^{72} - 66 q^{73} + 9 q^{74} + 15 q^{75} - 15 q^{77} + 30 q^{78} + 9 q^{79} - 6 q^{80} - 33 q^{82} - 18 q^{83} - 12 q^{84} + 21 q^{85} - 12 q^{86} - 48 q^{87} + 12 q^{88} + 72 q^{89} + 69 q^{90} + 12 q^{91} + 30 q^{92} + 60 q^{93} - 36 q^{94} + 93 q^{95} - 48 q^{97} + 6 q^{98} - 54 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −1.48870 0.885314i −0.859500 0.511136i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 2.34213 1.96528i 1.04743 0.878900i 0.0546108 0.998508i \(-0.482608\pi\)
0.992821 + 0.119608i \(0.0381638\pi\)
\(6\) −0.571340 1.63511i −0.233248 0.667529i
\(7\) −0.657693 2.56270i −0.248585 0.968610i
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 1.43244 + 2.63593i 0.477480 + 0.878643i
\(10\) 3.05743 0.966845
\(11\) −4.17242 3.50108i −1.25803 1.05561i −0.995889 0.0905860i \(-0.971126\pi\)
−0.262144 0.965029i \(-0.584430\pi\)
\(12\) 0.613354 1.61981i 0.177060 0.467600i
\(13\) −4.37538 1.59251i −1.21351 0.441682i −0.345591 0.938385i \(-0.612322\pi\)
−0.867921 + 0.496703i \(0.834544\pi\)
\(14\) 1.14345 2.38590i 0.305600 0.637659i
\(15\) −5.22661 + 0.852188i −1.34950 + 0.220034i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 4.60615 1.11716 0.558578 0.829452i \(-0.311347\pi\)
0.558578 + 0.829452i \(0.311347\pi\)
\(18\) −0.597029 + 2.93999i −0.140721 + 0.692963i
\(19\) 6.74710 1.54789 0.773945 0.633253i \(-0.218281\pi\)
0.773945 + 0.633253i \(0.218281\pi\)
\(20\) 2.34213 + 1.96528i 0.523716 + 0.439450i
\(21\) −1.28969 + 4.39735i −0.281433 + 0.959581i
\(22\) −0.945811 5.36396i −0.201648 1.14360i
\(23\) −0.904876 0.329348i −0.188680 0.0686738i 0.245952 0.969282i \(-0.420899\pi\)
−0.434632 + 0.900608i \(0.643122\pi\)
\(24\) 1.51105 0.846593i 0.308442 0.172810i
\(25\) 0.755004 4.28184i 0.151001 0.856368i
\(26\) −2.32809 4.03237i −0.456576 0.790813i
\(27\) 0.201154 5.19226i 0.0387120 0.999250i
\(28\) 2.40956 1.09271i 0.455364 0.206503i
\(29\) 3.72984 1.35755i 0.692613 0.252091i 0.0283595 0.999598i \(-0.490972\pi\)
0.664254 + 0.747507i \(0.268749\pi\)
\(30\) −4.55159 2.70679i −0.831003 0.494189i
\(31\) −0.672677 3.81494i −0.120816 0.685184i −0.983705 0.179790i \(-0.942458\pi\)
0.862889 0.505394i \(-0.168653\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 3.11192 + 8.90595i 0.541716 + 1.55033i
\(34\) 3.52852 + 2.96078i 0.605136 + 0.507769i
\(35\) −6.57683 4.70963i −1.11169 0.796072i
\(36\) −2.34714 + 1.86840i −0.391190 + 0.311400i
\(37\) −0.518009 + 0.897218i −0.0851602 + 0.147502i −0.905459 0.424433i \(-0.860474\pi\)
0.820299 + 0.571935i \(0.193807\pi\)
\(38\) 5.16858 + 4.33695i 0.838454 + 0.703546i
\(39\) 5.10375 + 6.24435i 0.817254 + 0.999896i
\(40\) 0.530918 + 3.01098i 0.0839454 + 0.476078i
\(41\) 7.97416 + 2.90236i 1.24535 + 0.453272i 0.878829 0.477136i \(-0.158325\pi\)
0.366525 + 0.930408i \(0.380547\pi\)
\(42\) −3.81452 + 2.53957i −0.588594 + 0.391864i
\(43\) 0.852099 4.83250i 0.129944 0.736949i −0.848304 0.529510i \(-0.822376\pi\)
0.978248 0.207439i \(-0.0665129\pi\)
\(44\) 2.72336 4.71699i 0.410561 0.711113i
\(45\) 8.53529 + 3.35854i 1.27237 + 0.500661i
\(46\) −0.481474 0.833938i −0.0709895 0.122957i
\(47\) −2.33117 + 13.2207i −0.340036 + 1.92844i 0.0302979 + 0.999541i \(0.490354\pi\)
−0.370334 + 0.928899i \(0.620757\pi\)
\(48\) 1.70171 + 0.322758i 0.245621 + 0.0465861i
\(49\) −6.13488 + 3.37094i −0.876411 + 0.481563i
\(50\) 3.33068 2.79477i 0.471029 0.395240i
\(51\) −6.85717 4.07789i −0.960196 0.571019i
\(52\) 0.808538 4.58544i 0.112124 0.635887i
\(53\) −6.76390 + 11.7154i −0.929093 + 1.60924i −0.144250 + 0.989541i \(0.546077\pi\)
−0.784843 + 0.619695i \(0.787256\pi\)
\(54\) 3.49161 3.84820i 0.475148 0.523674i
\(55\) −16.6529 −2.24548
\(56\) 2.54821 + 0.711772i 0.340519 + 0.0951145i
\(57\) −10.0444 5.97330i −1.33041 0.791183i
\(58\) 3.72984 + 1.35755i 0.489751 + 0.178255i
\(59\) 2.64162 + 0.961470i 0.343909 + 0.125173i 0.508200 0.861239i \(-0.330311\pi\)
−0.164290 + 0.986412i \(0.552533\pi\)
\(60\) −1.74683 4.99923i −0.225515 0.645397i
\(61\) 0.771995 4.37820i 0.0988438 0.560571i −0.894658 0.446752i \(-0.852581\pi\)
0.993502 0.113819i \(-0.0363084\pi\)
\(62\) 1.93690 3.35480i 0.245986 0.426060i
\(63\) 5.81299 5.40455i 0.732368 0.680909i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −13.3774 + 4.86899i −1.65927 + 0.603923i
\(66\) −3.34076 + 8.82266i −0.411219 + 1.08599i
\(67\) 1.36515 1.14550i 0.166780 0.139945i −0.555578 0.831465i \(-0.687503\pi\)
0.722358 + 0.691520i \(0.243058\pi\)
\(68\) 0.799850 + 4.53618i 0.0969961 + 0.550092i
\(69\) 1.05551 + 1.29140i 0.127069 + 0.155466i
\(70\) −2.01085 7.83529i −0.240343 0.936496i
\(71\) 5.98189 + 10.3609i 0.709920 + 1.22962i 0.964886 + 0.262667i \(0.0846022\pi\)
−0.254967 + 0.966950i \(0.582064\pi\)
\(72\) −2.99900 0.0774348i −0.353436 0.00912578i
\(73\) −1.72236 2.98322i −0.201587 0.349159i 0.747453 0.664315i \(-0.231277\pi\)
−0.949040 + 0.315156i \(0.897943\pi\)
\(74\) −0.973539 + 0.354339i −0.113172 + 0.0411911i
\(75\) −4.91474 + 5.70595i −0.567506 + 0.658866i
\(76\) 1.17162 + 6.64459i 0.134394 + 0.762187i
\(77\) −6.22804 + 12.9953i −0.709752 + 1.48095i
\(78\) −0.104091 + 8.06407i −0.0117859 + 0.913076i
\(79\) 1.39427 + 1.16993i 0.156868 + 0.131628i 0.717843 0.696205i \(-0.245129\pi\)
−0.560976 + 0.827832i \(0.689574\pi\)
\(80\) −1.52872 + 2.64781i −0.170916 + 0.296035i
\(81\) −4.89623 + 7.55162i −0.544026 + 0.839068i
\(82\) 4.24296 + 7.34903i 0.468557 + 0.811564i
\(83\) −2.94898 + 1.07334i −0.323693 + 0.117815i −0.498755 0.866743i \(-0.666209\pi\)
0.175063 + 0.984557i \(0.443987\pi\)
\(84\) −4.55450 0.506503i −0.496937 0.0552640i
\(85\) 10.7882 9.05238i 1.17015 0.981868i
\(86\) 3.75901 3.15419i 0.405345 0.340125i
\(87\) −6.75445 1.28109i −0.724154 0.137348i
\(88\) 5.11823 1.86288i 0.545606 0.198584i
\(89\) 7.13139 0.755926 0.377963 0.925821i \(-0.376625\pi\)
0.377963 + 0.925821i \(0.376625\pi\)
\(90\) 4.37959 + 8.05917i 0.461649 + 0.849511i
\(91\) −1.20347 + 12.2602i −0.126157 + 1.28522i
\(92\) 0.167214 0.948320i 0.0174333 0.0988691i
\(93\) −2.37601 + 6.27482i −0.246380 + 0.650669i
\(94\) −10.2839 + 8.62921i −1.06070 + 0.890035i
\(95\) 15.8026 13.2599i 1.62131 1.36044i
\(96\) 1.09612 + 1.34109i 0.111873 + 0.136874i
\(97\) 1.32189 7.49681i 0.134218 0.761186i −0.841184 0.540750i \(-0.818141\pi\)
0.975401 0.220437i \(-0.0707482\pi\)
\(98\) −6.86639 1.36113i −0.693610 0.137495i
\(99\) 3.25185 16.0133i 0.326823 1.60940i
\(100\) 4.34789 0.434789
\(101\) 4.80375 1.74842i 0.477991 0.173975i −0.0917778 0.995780i \(-0.529255\pi\)
0.569769 + 0.821805i \(0.307033\pi\)
\(102\) −2.63168 7.53155i −0.260575 0.745734i
\(103\) 8.60701 7.22214i 0.848074 0.711619i −0.111290 0.993788i \(-0.535498\pi\)
0.959365 + 0.282169i \(0.0910539\pi\)
\(104\) 3.56684 2.99294i 0.349758 0.293482i
\(105\) 5.62141 + 12.8338i 0.548593 + 1.25245i
\(106\) −12.7120 + 4.62678i −1.23470 + 0.449392i
\(107\) 0.321419 + 0.556713i 0.0310727 + 0.0538195i 0.881144 0.472849i \(-0.156774\pi\)
−0.850071 + 0.526668i \(0.823441\pi\)
\(108\) 5.14831 0.703528i 0.495396 0.0676970i
\(109\) 2.76397 4.78734i 0.264741 0.458544i −0.702755 0.711432i \(-0.748047\pi\)
0.967496 + 0.252888i \(0.0813803\pi\)
\(110\) −12.7569 10.7043i −1.21632 1.02062i
\(111\) 1.56548 0.877086i 0.148589 0.0832493i
\(112\) 1.49453 + 2.18321i 0.141219 + 0.206294i
\(113\) −0.764422 4.33525i −0.0719107 0.407826i −0.999421 0.0340281i \(-0.989166\pi\)
0.927510 0.373798i \(-0.121945\pi\)
\(114\) −3.85489 11.0322i −0.361043 1.03326i
\(115\) −2.76660 + 1.00696i −0.257987 + 0.0938994i
\(116\) 1.98460 + 3.43744i 0.184266 + 0.319158i
\(117\) −2.06973 13.8144i −0.191347 1.27714i
\(118\) 1.40557 + 2.43453i 0.129394 + 0.224116i
\(119\) −3.02944 11.8042i −0.277708 1.08209i
\(120\) 1.87529 4.95247i 0.171190 0.452097i
\(121\) 3.24143 + 18.3831i 0.294676 + 1.67119i
\(122\) 3.40564 2.85767i 0.308332 0.258721i
\(123\) −9.30162 11.3804i −0.838698 1.02613i
\(124\) 3.64018 1.32492i 0.326897 0.118981i
\(125\) 0.996887 + 1.72666i 0.0891643 + 0.154437i
\(126\) 7.92699 0.403605i 0.706192 0.0359560i
\(127\) −7.38173 + 12.7855i −0.655023 + 1.13453i 0.326865 + 0.945071i \(0.394008\pi\)
−0.981888 + 0.189462i \(0.939326\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) −5.54679 + 6.43975i −0.488368 + 0.566988i
\(130\) −13.3774 4.86899i −1.17328 0.427038i
\(131\) −4.17863 1.52090i −0.365088 0.132881i 0.152961 0.988232i \(-0.451119\pi\)
−0.518049 + 0.855351i \(0.673341\pi\)
\(132\) −8.23027 + 4.61115i −0.716353 + 0.401349i
\(133\) −4.43752 17.2908i −0.384782 1.49930i
\(134\) 1.78208 0.153948
\(135\) −9.73311 12.5563i −0.837693 1.08067i
\(136\) −2.30308 + 3.98905i −0.197487 + 0.342058i
\(137\) 2.22605 12.6246i 0.190185 1.07859i −0.728927 0.684592i \(-0.759980\pi\)
0.919111 0.393998i \(-0.128908\pi\)
\(138\) −0.0215271 + 1.66774i −0.00183251 + 0.141967i
\(139\) −9.44108 + 7.92201i −0.800782 + 0.671936i −0.948389 0.317110i \(-0.897288\pi\)
0.147606 + 0.989046i \(0.452843\pi\)
\(140\) 3.49602 7.29473i 0.295468 0.616517i
\(141\) 15.1749 17.6178i 1.27796 1.48369i
\(142\) −2.07749 + 11.7820i −0.174339 + 0.988726i
\(143\) 12.6804 + 21.9632i 1.06039 + 1.83665i
\(144\) −2.24759 1.98704i −0.187299 0.165587i
\(145\) 6.06779 10.5097i 0.503903 0.872785i
\(146\) 0.598170 3.39239i 0.0495049 0.280756i
\(147\) 12.1173 + 0.412978i 0.999420 + 0.0340618i
\(148\) −0.973539 0.354339i −0.0800244 0.0291265i
\(149\) 1.30392 + 7.39491i 0.106821 + 0.605814i 0.990477 + 0.137677i \(0.0439636\pi\)
−0.883656 + 0.468137i \(0.844925\pi\)
\(150\) −7.43262 + 1.21187i −0.606871 + 0.0989491i
\(151\) 3.99764 + 3.35442i 0.325323 + 0.272979i 0.790791 0.612086i \(-0.209669\pi\)
−0.465468 + 0.885065i \(0.654114\pi\)
\(152\) −3.37355 + 5.84316i −0.273631 + 0.473943i
\(153\) 6.59804 + 12.1415i 0.533420 + 0.981581i
\(154\) −13.1242 + 5.95167i −1.05758 + 0.479600i
\(155\) −9.07292 7.61309i −0.728755 0.611498i
\(156\) −5.26322 + 6.11053i −0.421395 + 0.489234i
\(157\) −1.71105 0.622770i −0.136556 0.0497025i 0.272838 0.962060i \(-0.412038\pi\)
−0.409394 + 0.912358i \(0.634260\pi\)
\(158\) 0.316056 + 1.79244i 0.0251440 + 0.142599i
\(159\) 20.4412 11.4525i 1.62109 0.908245i
\(160\) −2.87305 + 1.04570i −0.227134 + 0.0826701i
\(161\) −0.248890 + 2.53554i −0.0196153 + 0.199828i
\(162\) −8.60482 + 2.63764i −0.676058 + 0.207232i
\(163\) −6.78990 11.7604i −0.531826 0.921149i −0.999310 0.0371477i \(-0.988173\pi\)
0.467484 0.884002i \(-0.345161\pi\)
\(164\) −1.47357 + 8.35700i −0.115066 + 0.652572i
\(165\) 24.7912 + 14.7431i 1.92999 + 1.14775i
\(166\) −2.94898 1.07334i −0.228885 0.0833075i
\(167\) 0.790825 + 4.48499i 0.0611959 + 0.347059i 0.999997 + 0.00259845i \(0.000827113\pi\)
−0.938801 + 0.344461i \(0.888062\pi\)
\(168\) −3.16337 3.31558i −0.244060 0.255802i
\(169\) 6.64929 + 5.57942i 0.511484 + 0.429186i
\(170\) 14.0830 1.08012
\(171\) 9.66481 + 17.7849i 0.739087 + 1.36004i
\(172\) 4.90704 0.374159
\(173\) 3.74234 1.36210i 0.284525 0.103559i −0.195815 0.980641i \(-0.562735\pi\)
0.480341 + 0.877082i \(0.340513\pi\)
\(174\) −4.35074 5.32305i −0.329829 0.403540i
\(175\) −11.4696 + 0.881287i −0.867023 + 0.0666191i
\(176\) 5.11823 + 1.86288i 0.385801 + 0.140420i
\(177\) −3.08137 3.77000i −0.231610 0.283370i
\(178\) 5.46296 + 4.58397i 0.409466 + 0.343583i
\(179\) 5.06672 0.378704 0.189352 0.981909i \(-0.439361\pi\)
0.189352 + 0.981909i \(0.439361\pi\)
\(180\) −1.82538 + 8.98883i −0.136056 + 0.669988i
\(181\) 7.13872 12.3646i 0.530617 0.919055i −0.468745 0.883333i \(-0.655294\pi\)
0.999362 0.0357215i \(-0.0113729\pi\)
\(182\) −8.80260 + 8.61827i −0.652492 + 0.638828i
\(183\) −5.02535 + 5.83436i −0.371484 + 0.431288i
\(184\) 0.737662 0.618972i 0.0543811 0.0456312i
\(185\) 0.550040 + 3.11943i 0.0404398 + 0.229345i
\(186\) −5.85351 + 3.27953i −0.429200 + 0.240467i
\(187\) −19.2188 16.1265i −1.40542 1.17929i
\(188\) −13.4247 −0.979094
\(189\) −13.4385 + 2.89942i −0.977507 + 0.210901i
\(190\) 20.6288 1.49657
\(191\) 5.35420 + 4.49271i 0.387416 + 0.325081i 0.815606 0.578608i \(-0.196404\pi\)
−0.428189 + 0.903689i \(0.640848\pi\)
\(192\) −0.0223554 + 1.73191i −0.00161336 + 0.124990i
\(193\) 3.15145 + 17.8728i 0.226846 + 1.28651i 0.859124 + 0.511767i \(0.171009\pi\)
−0.632278 + 0.774742i \(0.717880\pi\)
\(194\) 5.83149 4.89320i 0.418676 0.351311i
\(195\) 24.2255 + 4.59477i 1.73483 + 0.329039i
\(196\) −4.38504 5.45632i −0.313217 0.389737i
\(197\) 5.13503 8.89414i 0.365856 0.633681i −0.623057 0.782176i \(-0.714110\pi\)
0.988913 + 0.148495i \(0.0474429\pi\)
\(198\) 12.7842 10.1766i 0.908534 0.723223i
\(199\) 0.580347 0.0411397 0.0205699 0.999788i \(-0.493452\pi\)
0.0205699 + 0.999788i \(0.493452\pi\)
\(200\) 3.33068 + 2.79477i 0.235515 + 0.197620i
\(201\) −3.04643 + 0.496714i −0.214878 + 0.0350355i
\(202\) 4.80375 + 1.74842i 0.337991 + 0.123019i
\(203\) −5.93208 8.66561i −0.416351 0.608206i
\(204\) 2.82520 7.46111i 0.197804 0.522382i
\(205\) 24.3805 8.87376i 1.70280 0.619770i
\(206\) 11.2357 0.782826
\(207\) −0.428043 2.85696i −0.0297510 0.198572i
\(208\) 4.65618 0.322848
\(209\) −28.1517 23.6221i −1.94730 1.63398i
\(210\) −3.94313 + 13.4446i −0.272102 + 0.927766i
\(211\) −0.0869552 0.493148i −0.00598624 0.0339497i 0.981668 0.190597i \(-0.0610424\pi\)
−0.987655 + 0.156648i \(0.949931\pi\)
\(212\) −12.7120 4.62678i −0.873062 0.317768i
\(213\) 0.267455 20.7202i 0.0183257 1.41972i
\(214\) −0.111628 + 0.633071i −0.00763070 + 0.0432758i
\(215\) −7.50148 12.9929i −0.511597 0.886111i
\(216\) 4.39605 + 2.77033i 0.299113 + 0.188497i
\(217\) −9.33414 + 4.23293i −0.633643 + 0.287350i
\(218\) 5.19457 1.89067i 0.351821 0.128052i
\(219\) −0.0770080 + 5.96594i −0.00520372 + 0.403141i
\(220\) −2.89175 16.4000i −0.194962 1.10568i
\(221\) −20.1537 7.33534i −1.35568 0.493428i
\(222\) 1.76301 + 0.334383i 0.118325 + 0.0224423i
\(223\) 8.33315 + 6.99234i 0.558029 + 0.468242i 0.877649 0.479304i \(-0.159111\pi\)
−0.319620 + 0.947546i \(0.603555\pi\)
\(224\) −0.258466 + 2.63310i −0.0172695 + 0.175931i
\(225\) 12.3681 4.14334i 0.824541 0.276223i
\(226\) 2.20106 3.81236i 0.146413 0.253594i
\(227\) −3.84781 3.22869i −0.255388 0.214296i 0.506100 0.862475i \(-0.331087\pi\)
−0.761488 + 0.648179i \(0.775531\pi\)
\(228\) 4.13836 10.9290i 0.274070 0.723794i
\(229\) 4.31807 + 24.4890i 0.285346 + 1.61828i 0.704048 + 0.710153i \(0.251374\pi\)
−0.418702 + 0.908124i \(0.637515\pi\)
\(230\) −2.76660 1.00696i −0.182424 0.0663969i
\(231\) 20.7766 13.8323i 1.36700 0.910099i
\(232\) −0.689246 + 3.90891i −0.0452512 + 0.256632i
\(233\) −10.4147 + 18.0387i −0.682287 + 1.18176i 0.291994 + 0.956420i \(0.405681\pi\)
−0.974281 + 0.225336i \(0.927652\pi\)
\(234\) 7.29419 11.9128i 0.476836 0.778765i
\(235\) 20.5225 + 35.5460i 1.33874 + 2.31877i
\(236\) −0.488151 + 2.76844i −0.0317759 + 0.180210i
\(237\) −1.03989 2.97604i −0.0675482 0.193315i
\(238\) 5.26691 10.9898i 0.341403 0.712364i
\(239\) −6.89162 + 5.78276i −0.445782 + 0.374056i −0.837868 0.545873i \(-0.816198\pi\)
0.392086 + 0.919929i \(0.371754\pi\)
\(240\) 4.61994 2.58840i 0.298216 0.167081i
\(241\) 4.59758 26.0742i 0.296156 1.67959i −0.366309 0.930493i \(-0.619379\pi\)
0.662466 0.749092i \(-0.269510\pi\)
\(242\) −9.33333 + 16.1658i −0.599969 + 1.03918i
\(243\) 13.9746 6.90737i 0.896468 0.443108i
\(244\) 4.44574 0.284609
\(245\) −7.74383 + 19.9519i −0.494735 + 1.27468i
\(246\) 0.189706 14.6968i 0.0120952 0.937035i
\(247\) −29.5211 10.7448i −1.87838 0.683676i
\(248\) 3.64018 + 1.32492i 0.231151 + 0.0841322i
\(249\) 5.34039 + 1.01289i 0.338433 + 0.0641895i
\(250\) −0.346215 + 1.96348i −0.0218966 + 0.124182i
\(251\) 5.57258 9.65200i 0.351738 0.609229i −0.634816 0.772664i \(-0.718924\pi\)
0.986554 + 0.163435i \(0.0522573\pi\)
\(252\) 6.33186 + 4.78619i 0.398869 + 0.301502i
\(253\) 2.62245 + 4.54222i 0.164872 + 0.285567i
\(254\) −13.8731 + 5.04940i −0.870477 + 0.316828i
\(255\) −24.0746 + 3.92531i −1.50761 + 0.245812i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −4.51208 25.5893i −0.281456 1.59622i −0.717677 0.696376i \(-0.754794\pi\)
0.436221 0.899840i \(-0.356317\pi\)
\(258\) −8.38848 + 1.36772i −0.522244 + 0.0851508i
\(259\) 2.63999 + 0.737409i 0.164041 + 0.0458203i
\(260\) −7.11798 12.3287i −0.441438 0.764594i
\(261\) 8.92117 + 7.88697i 0.552206 + 0.488191i
\(262\) −2.22340 3.85104i −0.137362 0.237918i
\(263\) 0.687461 0.250215i 0.0423907 0.0154289i −0.320738 0.947168i \(-0.603931\pi\)
0.363128 + 0.931739i \(0.381709\pi\)
\(264\) −9.26874 1.75797i −0.570451 0.108196i
\(265\) 7.18214 + 40.7320i 0.441196 + 2.50214i
\(266\) 7.71497 16.0979i 0.473035 0.987026i
\(267\) −10.6165 6.31352i −0.649718 0.386381i
\(268\) 1.36515 + 1.14550i 0.0833900 + 0.0699725i
\(269\) −1.22983 + 2.13013i −0.0749843 + 0.129877i −0.901079 0.433654i \(-0.857224\pi\)
0.826095 + 0.563531i \(0.190557\pi\)
\(270\) 0.615014 15.8750i 0.0374285 0.966120i
\(271\) 1.55468 + 2.69278i 0.0944398 + 0.163575i 0.909375 0.415978i \(-0.136561\pi\)
−0.814935 + 0.579553i \(0.803227\pi\)
\(272\) −4.32837 + 1.57540i −0.262446 + 0.0955225i
\(273\) 12.6457 17.1862i 0.765352 1.04016i
\(274\) 9.82018 8.24011i 0.593259 0.497803i
\(275\) −18.1412 + 15.2223i −1.09396 + 0.917940i
\(276\) −1.08849 + 1.26372i −0.0655195 + 0.0760672i
\(277\) −3.58146 + 1.30355i −0.215189 + 0.0783225i −0.447365 0.894351i \(-0.647638\pi\)
0.232176 + 0.972674i \(0.425415\pi\)
\(278\) −12.3245 −0.739172
\(279\) 9.09234 7.23780i 0.544344 0.433316i
\(280\) 7.36707 3.34089i 0.440267 0.199656i
\(281\) 0.645521 3.66093i 0.0385085 0.218393i −0.959481 0.281774i \(-0.909077\pi\)
0.997989 + 0.0633810i \(0.0201883\pi\)
\(282\) 22.9492 3.74181i 1.36660 0.222822i
\(283\) 23.4740 19.6971i 1.39539 1.17087i 0.432283 0.901738i \(-0.357708\pi\)
0.963104 0.269130i \(-0.0867363\pi\)
\(284\) −9.16479 + 7.69017i −0.543830 + 0.456328i
\(285\) −35.2645 + 5.74980i −2.08889 + 0.340589i
\(286\) −4.40387 + 24.9756i −0.260406 + 1.47684i
\(287\) 2.19332 22.3443i 0.129468 1.31894i
\(288\) −0.444513 2.96689i −0.0261932 0.174825i
\(289\) 4.21665 0.248038
\(290\) 11.4037 4.15062i 0.669650 0.243733i
\(291\) −8.60493 + 9.99020i −0.504430 + 0.585636i
\(292\) 2.63881 2.21422i 0.154425 0.129578i
\(293\) 16.6675 13.9857i 0.973723 0.817051i −0.00940716 0.999956i \(-0.502994\pi\)
0.983131 + 0.182905i \(0.0585500\pi\)
\(294\) 9.01695 + 8.10522i 0.525879 + 0.472706i
\(295\) 8.07656 2.93963i 0.470236 0.171152i
\(296\) −0.518009 0.897218i −0.0301087 0.0521497i
\(297\) −19.0178 + 20.9600i −1.10352 + 1.21622i
\(298\) −3.75449 + 6.50297i −0.217492 + 0.376707i
\(299\) 3.43469 + 2.88204i 0.198633 + 0.166673i
\(300\) −6.47270 3.84925i −0.373701 0.222236i
\(301\) −12.9447 + 0.994623i −0.746118 + 0.0573291i
\(302\) 0.906192 + 5.13927i 0.0521455 + 0.295732i
\(303\) −8.69923 1.64995i −0.499758 0.0947874i
\(304\) −6.34020 + 2.30764i −0.363635 + 0.132352i
\(305\) −6.79628 11.7715i −0.389154 0.674034i
\(306\) −2.75001 + 13.5421i −0.157208 + 0.774148i
\(307\) −13.9616 24.1823i −0.796833 1.38016i −0.921669 0.387978i \(-0.873174\pi\)
0.124836 0.992177i \(-0.460160\pi\)
\(308\) −13.8794 3.87681i −0.790850 0.220902i
\(309\) −19.2071 + 3.13168i −1.09265 + 0.178155i
\(310\) −2.05666 11.6639i −0.116811 0.662467i
\(311\) −5.02007 + 4.21234i −0.284662 + 0.238860i −0.773926 0.633276i \(-0.781710\pi\)
0.489264 + 0.872136i \(0.337265\pi\)
\(312\) −7.95964 + 1.29780i −0.450626 + 0.0734736i
\(313\) −2.72095 + 0.990345i −0.153797 + 0.0559776i −0.417772 0.908552i \(-0.637189\pi\)
0.263974 + 0.964530i \(0.414967\pi\)
\(314\) −0.910429 1.57691i −0.0513785 0.0889901i
\(315\) 2.99333 24.0823i 0.168655 1.35688i
\(316\) −0.910046 + 1.57625i −0.0511941 + 0.0886708i
\(317\) −2.57723 + 14.6162i −0.144752 + 0.820928i 0.822815 + 0.568310i \(0.192403\pi\)
−0.967566 + 0.252618i \(0.918709\pi\)
\(318\) 23.0204 + 4.36621i 1.29092 + 0.244845i
\(319\) −20.3153 7.39418i −1.13744 0.413995i
\(320\) −2.87305 1.04570i −0.160608 0.0584566i
\(321\) 0.0143709 1.11333i 0.000802103 0.0621402i
\(322\) −1.82047 + 1.78235i −0.101451 + 0.0993265i
\(323\) 31.0782 1.72924
\(324\) −8.28711 3.51052i −0.460395 0.195029i
\(325\) −10.1223 + 17.5323i −0.561484 + 0.972518i
\(326\) 2.35811 13.3735i 0.130603 0.740689i
\(327\) −8.35302 + 4.67992i −0.461923 + 0.258800i
\(328\) −6.50059 + 5.45465i −0.358935 + 0.301182i
\(329\) 35.4139 2.72109i 1.95243 0.150018i
\(330\) 9.51449 + 27.2293i 0.523756 + 1.49893i
\(331\) −3.80510 + 21.5798i −0.209147 + 1.18613i 0.681632 + 0.731696i \(0.261271\pi\)
−0.890779 + 0.454437i \(0.849840\pi\)
\(332\) −1.56912 2.71780i −0.0861167 0.149158i
\(333\) −3.10702 0.0802239i −0.170264 0.00439624i
\(334\) −2.27709 + 3.94404i −0.124597 + 0.215808i
\(335\) 0.946138 5.36582i 0.0516931 0.293166i
\(336\) −0.292072 4.57326i −0.0159339 0.249492i
\(337\) −21.4326 7.80084i −1.16751 0.424939i −0.315735 0.948847i \(-0.602251\pi\)
−0.851775 + 0.523908i \(0.824473\pi\)
\(338\) 1.50727 + 8.54816i 0.0819848 + 0.464959i
\(339\) −2.70006 + 7.13063i −0.146647 + 0.387283i
\(340\) 10.7882 + 9.05238i 0.585073 + 0.490934i
\(341\) −10.5497 + 18.2726i −0.571299 + 0.989519i
\(342\) −4.02822 + 19.8364i −0.217821 + 1.07263i
\(343\) 12.6736 + 13.5048i 0.684310 + 0.729192i
\(344\) 3.75901 + 3.15419i 0.202672 + 0.170062i
\(345\) 5.01010 + 0.950249i 0.269735 + 0.0511597i
\(346\) 3.74234 + 1.36210i 0.201190 + 0.0732271i
\(347\) 2.30203 + 13.0555i 0.123580 + 0.700855i 0.982141 + 0.188145i \(0.0602473\pi\)
−0.858562 + 0.512710i \(0.828642\pi\)
\(348\) 0.0887331 6.87430i 0.00475660 0.368501i
\(349\) −19.3642 + 7.04800i −1.03654 + 0.377271i −0.803568 0.595212i \(-0.797068\pi\)
−0.232974 + 0.972483i \(0.574846\pi\)
\(350\) −9.35273 6.69743i −0.499925 0.357993i
\(351\) −9.14884 + 22.3978i −0.488329 + 1.19550i
\(352\) 2.72336 + 4.71699i 0.145155 + 0.251416i
\(353\) 1.02680 5.82329i 0.0546512 0.309943i −0.945212 0.326456i \(-0.894146\pi\)
0.999864 + 0.0165134i \(0.00525661\pi\)
\(354\) 0.0628443 4.86865i 0.00334014 0.258766i
\(355\) 34.3725 + 12.5106i 1.82430 + 0.663992i
\(356\) 1.23835 + 7.02305i 0.0656326 + 0.372221i
\(357\) −5.94050 + 20.2549i −0.314405 + 1.07200i
\(358\) 3.88133 + 3.25682i 0.205135 + 0.172129i
\(359\) −7.76872 −0.410018 −0.205009 0.978760i \(-0.565722\pi\)
−0.205009 + 0.978760i \(0.565722\pi\)
\(360\) −7.17623 + 5.71251i −0.378220 + 0.301076i
\(361\) 26.5233 1.39597
\(362\) 13.4164 4.88317i 0.705150 0.256654i
\(363\) 11.4493 30.2365i 0.600931 1.58701i
\(364\) −12.2829 + 0.943775i −0.643799 + 0.0494673i
\(365\) −9.89684 3.60216i −0.518025 0.188546i
\(366\) −7.59989 + 1.23915i −0.397253 + 0.0647712i
\(367\) −21.4569 18.0045i −1.12004 0.939825i −0.121434 0.992600i \(-0.538749\pi\)
−0.998606 + 0.0527741i \(0.983194\pi\)
\(368\) 0.962949 0.0501972
\(369\) 3.77210 + 25.1768i 0.196368 + 1.31065i
\(370\) −1.58378 + 2.74318i −0.0823367 + 0.142611i
\(371\) 34.4717 + 9.62870i 1.78968 + 0.499897i
\(372\) −6.59208 1.25030i −0.341784 0.0648250i
\(373\) 4.04592 3.39493i 0.209490 0.175783i −0.532006 0.846741i \(-0.678561\pi\)
0.741495 + 0.670958i \(0.234117\pi\)
\(374\) −4.35655 24.7072i −0.225272 1.27758i
\(375\) 0.0445715 3.45303i 0.00230166 0.178314i
\(376\) −10.2839 8.62921i −0.530351 0.445018i
\(377\) −18.4814 −0.951838
\(378\) −12.1582 6.41702i −0.625350 0.330056i
\(379\) 34.9677 1.79617 0.898084 0.439824i \(-0.144959\pi\)
0.898084 + 0.439824i \(0.144959\pi\)
\(380\) 15.8026 + 13.2599i 0.810655 + 0.680220i
\(381\) 22.3084 12.4986i 1.14289 0.640325i
\(382\) 1.21370 + 6.88322i 0.0620982 + 0.352176i
\(383\) −9.67254 + 8.11623i −0.494244 + 0.414720i −0.855544 0.517730i \(-0.826777\pi\)
0.361300 + 0.932449i \(0.382333\pi\)
\(384\) −1.13037 + 1.31235i −0.0576841 + 0.0669705i
\(385\) 10.9525 + 42.6765i 0.558193 + 2.17500i
\(386\) −9.07423 + 15.7170i −0.461866 + 0.799976i
\(387\) 13.9587 4.67619i 0.709560 0.237704i
\(388\) 7.61246 0.386464
\(389\) −8.10385 6.79994i −0.410881 0.344770i 0.413800 0.910368i \(-0.364201\pi\)
−0.824682 + 0.565597i \(0.808646\pi\)
\(390\) 15.6044 + 19.0917i 0.790158 + 0.966744i
\(391\) −4.16800 1.51703i −0.210785 0.0767194i
\(392\) 0.148117 6.99843i 0.00748105 0.353474i
\(393\) 4.87424 + 5.96355i 0.245873 + 0.300821i
\(394\) 9.65071 3.51257i 0.486196 0.176961i
\(395\) 5.56481 0.279996
\(396\) 16.3347 + 0.421765i 0.820849 + 0.0211945i
\(397\) −7.87219 −0.395094 −0.197547 0.980293i \(-0.563297\pi\)
−0.197547 + 0.980293i \(0.563297\pi\)
\(398\) 0.444572 + 0.373040i 0.0222844 + 0.0186988i
\(399\) −8.70165 + 29.6694i −0.435628 + 1.48533i
\(400\) 0.755004 + 4.28184i 0.0377502 + 0.214092i
\(401\) −27.0019 9.82787i −1.34841 0.490780i −0.435958 0.899967i \(-0.643590\pi\)
−0.912451 + 0.409187i \(0.865812\pi\)
\(402\) −2.65298 1.57770i −0.132319 0.0786886i
\(403\) −3.13211 + 17.7631i −0.156021 + 0.884841i
\(404\) 2.55602 + 4.42716i 0.127167 + 0.220259i
\(405\) 3.37343 + 27.3093i 0.167627 + 1.35701i
\(406\) 1.02591 10.4513i 0.0509149 0.518690i
\(407\) 5.30258 1.92998i 0.262839 0.0956657i
\(408\) 6.96014 3.89954i 0.344578 0.193056i
\(409\) 0.579794 + 3.28818i 0.0286690 + 0.162590i 0.995781 0.0917606i \(-0.0292494\pi\)
−0.967112 + 0.254350i \(0.918138\pi\)
\(410\) 24.3805 + 8.87376i 1.20406 + 0.438244i
\(411\) −14.4906 + 16.8234i −0.714770 + 0.829838i
\(412\) 8.60701 + 7.22214i 0.424037 + 0.355809i
\(413\) 0.726587 7.40203i 0.0357530 0.364230i
\(414\) 1.50852 2.46370i 0.0741396 0.121084i
\(415\) −4.79748 + 8.30948i −0.235499 + 0.407896i
\(416\) 3.56684 + 2.99294i 0.174879 + 0.146741i
\(417\) 21.0684 3.43516i 1.03172 0.168220i
\(418\) −6.38148 36.1912i −0.312129 1.77017i
\(419\) −21.2585 7.73746i −1.03855 0.378000i −0.234217 0.972184i \(-0.575253\pi\)
−0.804329 + 0.594185i \(0.797475\pi\)
\(420\) −11.6626 + 7.76457i −0.569079 + 0.378872i
\(421\) 1.62260 9.20220i 0.0790805 0.448488i −0.919397 0.393330i \(-0.871323\pi\)
0.998478 0.0551573i \(-0.0175660\pi\)
\(422\) 0.250378 0.433667i 0.0121882 0.0211106i
\(423\) −38.1881 + 12.7931i −1.85677 + 0.622021i
\(424\) −6.76390 11.7154i −0.328484 0.568951i
\(425\) 3.47766 19.7228i 0.168691 0.956697i
\(426\) 13.5235 15.7006i 0.655218 0.760699i
\(427\) −11.7278 + 0.901121i −0.567546 + 0.0436083i
\(428\) −0.492442 + 0.413208i −0.0238031 + 0.0199732i
\(429\) 0.566952 43.9227i 0.0273727 2.12061i
\(430\) 2.60524 14.7750i 0.125636 0.712515i
\(431\) −12.7329 + 22.0541i −0.613324 + 1.06231i 0.377352 + 0.926070i \(0.376835\pi\)
−0.990676 + 0.136238i \(0.956499\pi\)
\(432\) 1.58683 + 4.94792i 0.0763466 + 0.238057i
\(433\) −3.16367 −0.152036 −0.0760181 0.997106i \(-0.524221\pi\)
−0.0760181 + 0.997106i \(0.524221\pi\)
\(434\) −9.87124 2.75726i −0.473835 0.132353i
\(435\) −18.3375 + 10.2739i −0.879216 + 0.492596i
\(436\) 5.19457 + 1.89067i 0.248775 + 0.0905467i
\(437\) −6.10529 2.22214i −0.292055 0.106300i
\(438\) −3.89382 + 4.52067i −0.186054 + 0.216006i
\(439\) −6.32091 + 35.8477i −0.301681 + 1.71092i 0.337051 + 0.941487i \(0.390571\pi\)
−0.638731 + 0.769430i \(0.720540\pi\)
\(440\) 8.32647 14.4219i 0.396949 0.687536i
\(441\) −17.6734 11.3424i −0.841591 0.540116i
\(442\) −10.7235 18.5737i −0.510067 0.883462i
\(443\) 7.46335 2.71644i 0.354595 0.129062i −0.158580 0.987346i \(-0.550692\pi\)
0.513175 + 0.858284i \(0.328469\pi\)
\(444\) 1.13560 + 1.38939i 0.0538933 + 0.0659376i
\(445\) 16.7026 14.0152i 0.791781 0.664383i
\(446\) 1.88897 + 10.7129i 0.0894454 + 0.507270i
\(447\) 4.60567 12.1632i 0.217841 0.575298i
\(448\) −1.89052 + 1.85093i −0.0893186 + 0.0874482i
\(449\) 6.01821 + 10.4239i 0.284017 + 0.491932i 0.972370 0.233444i \(-0.0749994\pi\)
−0.688353 + 0.725376i \(0.741666\pi\)
\(450\) 12.1378 + 4.77609i 0.572182 + 0.225147i
\(451\) −23.1102 40.0280i −1.08822 1.88485i
\(452\) 4.13665 1.50562i 0.194572 0.0708183i
\(453\) −2.98156 8.53288i −0.140086 0.400910i
\(454\) −0.872227 4.94665i −0.0409357 0.232158i
\(455\) 21.2760 + 31.0801i 0.997434 + 1.45706i
\(456\) 10.1952 5.71205i 0.477435 0.267491i
\(457\) 12.1324 + 10.1803i 0.567529 + 0.476213i 0.880825 0.473442i \(-0.156989\pi\)
−0.313296 + 0.949656i \(0.601433\pi\)
\(458\) −12.4334 + 21.5352i −0.580973 + 1.00628i
\(459\) 0.926545 23.9163i 0.0432474 1.11632i
\(460\) −1.47208 2.54971i −0.0686359 0.118881i
\(461\) −13.6284 + 4.96034i −0.634738 + 0.231026i −0.639292 0.768964i \(-0.720773\pi\)
0.00455403 + 0.999990i \(0.498550\pi\)
\(462\) 24.8070 + 2.75877i 1.15413 + 0.128350i
\(463\) −32.5471 + 27.3103i −1.51259 + 1.26922i −0.654077 + 0.756428i \(0.726943\pi\)
−0.858515 + 0.512788i \(0.828613\pi\)
\(464\) −3.04059 + 2.55136i −0.141156 + 0.118444i
\(465\) 6.76687 + 19.3660i 0.313806 + 0.898075i
\(466\) −19.5732 + 7.12405i −0.906709 + 0.330015i
\(467\) 14.2096 0.657541 0.328770 0.944410i \(-0.393366\pi\)
0.328770 + 0.944410i \(0.393366\pi\)
\(468\) 13.2451 4.43713i 0.612254 0.205106i
\(469\) −3.83343 2.74509i −0.177011 0.126757i
\(470\) −7.12739 + 40.4214i −0.328762 + 1.86450i
\(471\) 1.99588 + 2.44193i 0.0919655 + 0.112518i
\(472\) −2.15347 + 1.80697i −0.0991213 + 0.0831726i
\(473\) −20.4743 + 17.1799i −0.941408 + 0.789935i
\(474\) 1.11636 2.94821i 0.0512762 0.135416i
\(475\) 5.09408 28.8900i 0.233733 1.32556i
\(476\) 11.0988 5.03319i 0.508713 0.230696i
\(477\) −40.5699 1.04752i −1.85757 0.0479628i
\(478\) −8.99638 −0.411485
\(479\) −8.49697 + 3.09265i −0.388237 + 0.141307i −0.528761 0.848771i \(-0.677343\pi\)
0.140525 + 0.990077i \(0.455121\pi\)
\(480\) 5.20287 + 0.986811i 0.237478 + 0.0450416i
\(481\) 3.69531 3.10074i 0.168492 0.141381i
\(482\) 20.2821 17.0187i 0.923825 0.775181i
\(483\) 2.61527 3.55430i 0.118999 0.161726i
\(484\) −17.5409 + 6.38437i −0.797315 + 0.290199i
\(485\) −11.6373 20.1564i −0.528422 0.915255i
\(486\) 15.1451 + 3.69132i 0.686996 + 0.167442i
\(487\) −1.26637 + 2.19342i −0.0573847 + 0.0993932i −0.893291 0.449479i \(-0.851609\pi\)
0.835906 + 0.548873i \(0.184943\pi\)
\(488\) 3.40564 + 2.85767i 0.154166 + 0.129361i
\(489\) −0.303581 + 23.5189i −0.0137284 + 1.06356i
\(490\) −18.7570 + 10.3064i −0.847354 + 0.465597i
\(491\) 4.41249 + 25.0244i 0.199133 + 1.12934i 0.906409 + 0.422401i \(0.138812\pi\)
−0.707277 + 0.706937i \(0.750076\pi\)
\(492\) 9.59226 11.1365i 0.432453 0.502071i
\(493\) 17.1802 6.25308i 0.773757 0.281625i
\(494\) −15.7079 27.2068i −0.706730 1.22409i
\(495\) −23.8543 43.8960i −1.07217 1.97298i
\(496\) 1.93690 + 3.35480i 0.0869692 + 0.150635i
\(497\) 22.6177 22.1441i 1.01454 0.993300i
\(498\) 3.43990 + 4.20865i 0.154145 + 0.188594i
\(499\) −5.93063 33.6343i −0.265492 1.50568i −0.767631 0.640892i \(-0.778565\pi\)
0.502140 0.864786i \(-0.332546\pi\)
\(500\) −1.52732 + 1.28157i −0.0683038 + 0.0573137i
\(501\) 2.79333 7.37693i 0.124797 0.329577i
\(502\) 10.4730 3.81187i 0.467434 0.170132i
\(503\) 21.7442 + 37.6621i 0.969528 + 1.67927i 0.696924 + 0.717145i \(0.254551\pi\)
0.272604 + 0.962126i \(0.412115\pi\)
\(504\) 1.77398 + 7.73647i 0.0790194 + 0.344610i
\(505\) 7.81486 13.5357i 0.347757 0.602333i
\(506\) −0.910768 + 5.16522i −0.0404886 + 0.229622i
\(507\) −4.95925 14.1928i −0.220248 0.630323i
\(508\) −13.8731 5.04940i −0.615520 0.224031i
\(509\) 18.2593 + 6.64583i 0.809328 + 0.294571i 0.713346 0.700812i \(-0.247179\pi\)
0.0959818 + 0.995383i \(0.469401\pi\)
\(510\) −20.9653 12.4679i −0.928360 0.552087i
\(511\) −6.51231 + 6.37594i −0.288088 + 0.282055i
\(512\) 1.00000 0.0441942
\(513\) 1.35720 35.0327i 0.0599220 1.54673i
\(514\) 12.9920 22.5028i 0.573054 0.992558i
\(515\) 5.96521 33.8304i 0.262859 1.49074i
\(516\) −7.30510 4.34427i −0.321589 0.191246i
\(517\) 56.0134 47.0008i 2.46347 2.06709i
\(518\) 1.54836 + 2.26184i 0.0680308 + 0.0993797i
\(519\) −6.77711 1.28539i −0.297482 0.0564224i
\(520\) 2.47205 14.0197i 0.108407 0.614804i
\(521\) −1.01906 1.76507i −0.0446460 0.0773292i 0.842839 0.538166i \(-0.180883\pi\)
−0.887485 + 0.460837i \(0.847549\pi\)
\(522\) 1.76436 + 11.7762i 0.0772241 + 0.515430i
\(523\) −6.50941 + 11.2746i −0.284637 + 0.493005i −0.972521 0.232815i \(-0.925206\pi\)
0.687884 + 0.725820i \(0.258540\pi\)
\(524\) 0.772179 4.37925i 0.0337328 0.191308i
\(525\) 17.8550 + 8.84225i 0.779257 + 0.385908i
\(526\) 0.687461 + 0.250215i 0.0299747 + 0.0109099i
\(527\) −3.09845 17.5722i −0.134971 0.765457i
\(528\) −5.97026 7.30451i −0.259822 0.317888i
\(529\) −16.9087 14.1881i −0.735161 0.616873i
\(530\) −20.6802 + 35.8191i −0.898289 + 1.55588i
\(531\) 1.24959 + 8.34036i 0.0542276 + 0.361941i
\(532\) 16.2575 7.37262i 0.704854 0.319644i
\(533\) −30.2680 25.3978i −1.31105 1.10010i
\(534\) −4.07445 11.6606i −0.176319 0.504602i
\(535\) 1.84690 + 0.672217i 0.0798485 + 0.0290625i
\(536\) 0.309455 + 1.75501i 0.0133664 + 0.0758048i
\(537\) −7.54281 4.48564i −0.325496 0.193569i
\(538\) −2.31133 + 0.841256i −0.0996486 + 0.0362691i
\(539\) 37.3992 + 7.41369i 1.61090 + 0.319330i
\(540\) 10.6754 11.7656i 0.459395 0.506311i
\(541\) 9.45978 + 16.3848i 0.406708 + 0.704439i 0.994519 0.104560i \(-0.0333434\pi\)
−0.587811 + 0.808998i \(0.700010\pi\)
\(542\) −0.539933 + 3.06211i −0.0231921 + 0.131529i
\(543\) −21.5740 + 12.0872i −0.925827 + 0.518710i
\(544\) −4.32837 1.57540i −0.185577 0.0675446i
\(545\) −2.93488 16.6446i −0.125717 0.712975i
\(546\) 20.7343 5.03693i 0.887345 0.215561i
\(547\) −11.4579 9.61436i −0.489906 0.411080i 0.364086 0.931365i \(-0.381381\pi\)
−0.853993 + 0.520285i \(0.825826\pi\)
\(548\) 12.8193 0.547615
\(549\) 12.6465 4.23659i 0.539738 0.180813i
\(550\) −23.6817 −1.00979
\(551\) 25.1656 9.15952i 1.07209 0.390209i
\(552\) −1.64614 + 0.268400i −0.0700643 + 0.0114238i
\(553\) 2.08119 4.34256i 0.0885010 0.184664i
\(554\) −3.58146 1.30355i −0.152162 0.0553824i
\(555\) 1.94283 5.13085i 0.0824687 0.217792i
\(556\) −9.44108 7.92201i −0.400391 0.335968i
\(557\) 29.8777 1.26596 0.632979 0.774169i \(-0.281832\pi\)
0.632979 + 0.774169i \(0.281832\pi\)
\(558\) 11.6175 + 0.299967i 0.491808 + 0.0126986i
\(559\) −11.4240 + 19.7870i −0.483186 + 0.836902i
\(560\) 7.79098 + 2.17619i 0.329229 + 0.0919610i
\(561\) 14.3340 + 41.0222i 0.605182 + 1.73196i
\(562\) 2.84770 2.38950i 0.120123 0.100795i
\(563\) −0.977657 5.54457i −0.0412033 0.233676i 0.957251 0.289260i \(-0.0934091\pi\)
−0.998454 + 0.0555838i \(0.982298\pi\)
\(564\) 19.9853 + 11.8850i 0.841532 + 0.500450i
\(565\) −10.3104 8.65141i −0.433760 0.363968i
\(566\) 30.6432 1.28803
\(567\) 22.5728 + 7.58094i 0.947967 + 0.318369i
\(568\) −11.9638 −0.501989
\(569\) 22.0114 + 18.4697i 0.922765 + 0.774292i 0.974504 0.224369i \(-0.0720321\pi\)
−0.0517395 + 0.998661i \(0.516477\pi\)
\(570\) −30.7100 18.2630i −1.28630 0.764951i
\(571\) −1.89750 10.7613i −0.0794081 0.450346i −0.998424 0.0561247i \(-0.982126\pi\)
0.919016 0.394221i \(-0.128986\pi\)
\(572\) −19.4276 + 16.3017i −0.812307 + 0.681607i
\(573\) −3.99333 11.4284i −0.166824 0.477429i
\(574\) 16.0428 15.7069i 0.669613 0.655591i
\(575\) −2.09340 + 3.62587i −0.0873008 + 0.151209i
\(576\) 1.56656 2.55849i 0.0652734 0.106604i
\(577\) −41.2241 −1.71618 −0.858090 0.513498i \(-0.828349\pi\)
−0.858090 + 0.513498i \(0.828349\pi\)
\(578\) 3.23014 + 2.71041i 0.134356 + 0.112738i
\(579\) 11.1314 29.3971i 0.462607 1.22170i
\(580\) 11.4037 + 4.15062i 0.473514 + 0.172345i
\(581\) 4.69018 + 6.85143i 0.194581 + 0.284245i
\(582\) −13.0133 + 2.12180i −0.539420 + 0.0879513i
\(583\) 69.2384 25.2007i 2.86756 1.04371i
\(584\) 3.44472 0.142544
\(585\) −31.9967 28.2874i −1.32290 1.16954i
\(586\) 21.7578 0.898807
\(587\) 14.2385 + 11.9475i 0.587687 + 0.493128i 0.887461 0.460882i \(-0.152467\pi\)
−0.299774 + 0.954010i \(0.596911\pi\)
\(588\) 1.69745 + 12.0049i 0.0700015 + 0.495076i
\(589\) −4.53862 25.7398i −0.187011 1.06059i
\(590\) 8.07656 + 2.93963i 0.332507 + 0.121023i
\(591\) −15.5186 + 8.69457i −0.638351 + 0.357647i
\(592\) 0.179903 1.02028i 0.00739395 0.0419332i
\(593\) 2.31853 + 4.01581i 0.0952106 + 0.164910i 0.909696 0.415274i \(-0.136314\pi\)
−0.814486 + 0.580183i \(0.802981\pi\)
\(594\) −28.0413 + 3.83192i −1.15055 + 0.157225i
\(595\) −30.2939 21.6933i −1.24193 0.889337i
\(596\) −7.05614 + 2.56822i −0.289031 + 0.105199i
\(597\) −0.863961 0.513789i −0.0353596 0.0210280i
\(598\) 0.778580 + 4.41555i 0.0318385 + 0.180565i
\(599\) 4.58129 + 1.66745i 0.187186 + 0.0681302i 0.433913 0.900955i \(-0.357133\pi\)
−0.246726 + 0.969085i \(0.579355\pi\)
\(600\) −2.48412 7.10926i −0.101414 0.290235i
\(601\) −13.9945 11.7428i −0.570846 0.478997i 0.311080 0.950384i \(-0.399309\pi\)
−0.881927 + 0.471387i \(0.843754\pi\)
\(602\) −10.5555 7.55874i −0.430211 0.308071i
\(603\) 4.97496 + 1.95759i 0.202596 + 0.0797191i
\(604\) −2.60927 + 4.51940i −0.106170 + 0.183892i
\(605\) 43.7197 + 36.6852i 1.77746 + 1.49147i
\(606\) −5.60343 6.85570i −0.227624 0.278494i
\(607\) 7.38325 + 41.8725i 0.299677 + 1.69955i 0.647560 + 0.762015i \(0.275790\pi\)
−0.347883 + 0.937538i \(0.613099\pi\)
\(608\) −6.34020 2.30764i −0.257129 0.0935873i
\(609\) 1.15930 + 18.1522i 0.0469770 + 0.735565i
\(610\) 2.36032 13.3861i 0.0955667 0.541986i
\(611\) 31.2538 54.1333i 1.26440 2.19000i
\(612\) −10.8113 + 8.60615i −0.437021 + 0.347883i
\(613\) −6.75607 11.7019i −0.272875 0.472634i 0.696722 0.717342i \(-0.254641\pi\)
−0.969597 + 0.244708i \(0.921308\pi\)
\(614\) 4.84883 27.4991i 0.195683 1.10977i
\(615\) −44.1512 8.37401i −1.78035 0.337672i
\(616\) −8.14025 11.8913i −0.327980 0.479114i
\(617\) −7.46694 + 6.26551i −0.300608 + 0.252240i −0.780597 0.625034i \(-0.785085\pi\)
0.479989 + 0.877274i \(0.340640\pi\)
\(618\) −16.7265 9.94708i −0.672838 0.400130i
\(619\) −6.39665 + 36.2772i −0.257103 + 1.45810i 0.533513 + 0.845792i \(0.320872\pi\)
−0.790616 + 0.612312i \(0.790239\pi\)
\(620\) 5.92193 10.2571i 0.237830 0.411934i
\(621\) −1.89208 + 4.63210i −0.0759265 + 0.185880i
\(622\) −6.55323 −0.262761
\(623\) −4.69027 18.2756i −0.187912 0.732197i
\(624\) −6.93165 4.12218i −0.277488 0.165019i
\(625\) 26.1566 + 9.52023i 1.04626 + 0.380809i
\(626\) −2.72095 0.990345i −0.108751 0.0395822i
\(627\) 20.9964 + 60.0893i 0.838517 + 2.39974i
\(628\) 0.316189 1.79319i 0.0126173 0.0715563i
\(629\) −2.38603 + 4.13272i −0.0951372 + 0.164783i
\(630\) 17.7728 16.5240i 0.708086 0.658333i
\(631\) 4.79740 + 8.30934i 0.190982 + 0.330790i 0.945576 0.325402i \(-0.105500\pi\)
−0.754594 + 0.656192i \(0.772166\pi\)
\(632\) −1.71033 + 0.622508i −0.0680332 + 0.0247620i
\(633\) −0.307140 + 0.811130i −0.0122077 + 0.0322395i
\(634\) −11.3694 + 9.54005i −0.451536 + 0.378884i
\(635\) 7.83818 + 44.4526i 0.311049 + 1.76405i
\(636\) 14.8281 + 18.1420i 0.587973 + 0.719375i
\(637\) 32.2107 4.97931i 1.27623 0.197288i
\(638\) −10.8096 18.7227i −0.427955 0.741239i
\(639\) −18.7420 + 30.6093i −0.741422 + 1.21088i
\(640\) −1.52872 2.64781i −0.0604278 0.104664i
\(641\) 30.1731 10.9821i 1.19177 0.433767i 0.331423 0.943482i \(-0.392471\pi\)
0.860343 + 0.509715i \(0.170249\pi\)
\(642\) 0.726646 0.843626i 0.0286784 0.0332953i
\(643\) 3.34393 + 18.9643i 0.131872 + 0.747881i 0.976987 + 0.213297i \(0.0684203\pi\)
−0.845116 + 0.534583i \(0.820469\pi\)
\(644\) −2.54024 + 0.195183i −0.100099 + 0.00769129i
\(645\) −0.335397 + 25.9837i −0.0132062 + 1.02311i
\(646\) 23.8073 + 19.9767i 0.936684 + 0.785971i
\(647\) 21.1661 36.6608i 0.832126 1.44128i −0.0642234 0.997936i \(-0.520457\pi\)
0.896349 0.443349i \(-0.146210\pi\)
\(648\) −4.09177 8.01607i −0.160740 0.314901i
\(649\) −7.65576 13.2602i −0.300515 0.520507i
\(650\) −19.0237 + 6.92405i −0.746170 + 0.271584i
\(651\) 17.6432 + 1.96209i 0.691491 + 0.0769003i
\(652\) 10.4027 8.72892i 0.407402 0.341851i
\(653\) −30.7590 + 25.8098i −1.20369 + 1.01002i −0.204174 + 0.978935i \(0.565451\pi\)
−0.999517 + 0.0310821i \(0.990105\pi\)
\(654\) −9.40698 1.78419i −0.367842 0.0697674i
\(655\) −12.7759 + 4.65004i −0.499195 + 0.181692i
\(656\) −8.48592 −0.331320
\(657\) 5.39637 8.81330i 0.210532 0.343839i
\(658\) 28.8777 + 20.6792i 1.12577 + 0.806158i
\(659\) −4.02198 + 22.8098i −0.156674 + 0.888544i 0.800565 + 0.599246i \(0.204533\pi\)
−0.957239 + 0.289298i \(0.906578\pi\)
\(660\) −10.2142 + 26.9747i −0.397585 + 1.04999i
\(661\) 5.56457 4.66923i 0.216437 0.181612i −0.528123 0.849168i \(-0.677104\pi\)
0.744560 + 0.667556i \(0.232660\pi\)
\(662\) −16.7861 + 14.0852i −0.652410 + 0.547437i
\(663\) 23.5086 + 28.7624i 0.913000 + 1.11704i
\(664\) 0.544950 3.09056i 0.0211482 0.119937i
\(665\) −44.3745 31.7763i −1.72077 1.23223i
\(666\) −2.32855 2.05861i −0.0902294 0.0797695i
\(667\) −3.82215 −0.147994
\(668\) −4.27953 + 1.55762i −0.165580 + 0.0602662i
\(669\) −6.21512 17.7869i −0.240290 0.687683i
\(670\) 4.17386 3.50229i 0.161250 0.135305i
\(671\) −18.5495 + 15.5649i −0.716096 + 0.600876i
\(672\) 2.71589 3.69106i 0.104768 0.142386i
\(673\) −15.0020 + 5.46030i −0.578286 + 0.210479i −0.614570 0.788862i \(-0.710670\pi\)
0.0362833 + 0.999342i \(0.488448\pi\)
\(674\) −11.4041 19.7524i −0.439268 0.760835i
\(675\) −22.0805 4.78148i −0.849880 0.184039i
\(676\) −4.34002 + 7.51713i −0.166924 + 0.289120i
\(677\) −10.5777 8.87577i −0.406535 0.341124i 0.416478 0.909146i \(-0.363264\pi\)
−0.823013 + 0.568022i \(0.807709\pi\)
\(678\) −6.65185 + 3.72681i −0.255463 + 0.143127i
\(679\) −20.0815 + 1.54299i −0.770657 + 0.0592146i
\(680\) 2.44549 + 13.8690i 0.0937802 + 0.531854i
\(681\) 2.86982 + 8.21307i 0.109972 + 0.314725i
\(682\) −19.8270 + 7.21643i −0.759214 + 0.276331i
\(683\) −16.4377 28.4709i −0.628971 1.08941i −0.987759 0.155990i \(-0.950143\pi\)
0.358788 0.933419i \(-0.383190\pi\)
\(684\) −15.8364 + 12.6063i −0.605520 + 0.482014i
\(685\) −19.5971 33.9432i −0.748767 1.29690i
\(686\) 1.02780 + 18.4917i 0.0392417 + 0.706017i
\(687\) 15.2521 40.2795i 0.581905 1.53676i
\(688\) 0.852099 + 4.83250i 0.0324860 + 0.184237i
\(689\) 48.2515 40.4878i 1.83824 1.54246i
\(690\) 3.22715 + 3.94836i 0.122856 + 0.150312i
\(691\) 2.63323 0.958418i 0.100173 0.0364599i −0.291448 0.956587i \(-0.594137\pi\)
0.391620 + 0.920127i \(0.371915\pi\)
\(692\) 1.99126 + 3.44896i 0.0756963 + 0.131110i
\(693\) −43.1760 + 2.19832i −1.64012 + 0.0835073i
\(694\) −6.62844 + 11.4808i −0.251612 + 0.435805i
\(695\) −6.54327 + 37.1087i −0.248200 + 1.40761i
\(696\) 4.48669 5.20898i 0.170067 0.197446i
\(697\) 36.7302 + 13.3687i 1.39126 + 0.506376i
\(698\) −19.3642 7.04800i −0.732946 0.266771i
\(699\) 31.4742 17.6340i 1.19046 0.666978i
\(700\) −2.85958 11.1424i −0.108082 0.421141i
\(701\) 6.22770 0.235217 0.117608 0.993060i \(-0.462477\pi\)
0.117608 + 0.993060i \(0.462477\pi\)
\(702\) −21.4054 + 11.2769i −0.807895 + 0.425620i
\(703\) −3.49506 + 6.05362i −0.131819 + 0.228317i
\(704\) −0.945811 + 5.36396i −0.0356466 + 0.202162i
\(705\) 0.917576 71.0861i 0.0345579 2.67726i
\(706\) 4.52972 3.80088i 0.170478 0.143048i
\(707\) −7.64008 11.1607i −0.287335 0.419740i
\(708\) 3.17765 3.68921i 0.119423 0.138649i
\(709\) −5.31975 + 30.1698i −0.199787 + 1.13305i 0.705647 + 0.708564i \(0.250657\pi\)
−0.905434 + 0.424487i \(0.860455\pi\)
\(710\) 18.2892 + 31.6779i 0.686382 + 1.18885i
\(711\) −1.08665 + 5.35106i −0.0407525 + 0.200680i
\(712\) −3.56569 + 6.17596i −0.133630 + 0.231454i
\(713\) −0.647754 + 3.67359i −0.0242586 + 0.137577i
\(714\) −17.5703 + 11.6977i −0.657551 + 0.437774i
\(715\) 72.8630 + 26.5200i 2.72492 + 0.991790i
\(716\) 0.879827 + 4.98975i 0.0328807 + 0.186476i
\(717\) 15.3791 2.50753i 0.574343 0.0936454i
\(718\) −5.95119 4.99364i −0.222096 0.186361i
\(719\) 3.52862 6.11175i 0.131595 0.227930i −0.792696 0.609617i \(-0.791323\pi\)
0.924292 + 0.381687i \(0.124657\pi\)
\(720\) −9.16924 0.236752i −0.341717 0.00882322i
\(721\) −24.1690 17.3073i −0.900100 0.644556i
\(722\) 20.3181 + 17.0489i 0.756160 + 0.634493i
\(723\) −29.9282 + 34.7463i −1.11304 + 1.29223i
\(724\) 13.4164 + 4.88317i 0.498617 + 0.181482i
\(725\) −2.99677 16.9955i −0.111297 0.631197i
\(726\) 28.2063 15.8031i 1.04683 0.586507i
\(727\) −29.2545 + 10.6478i −1.08499 + 0.394903i −0.821762 0.569831i \(-0.807009\pi\)
−0.263226 + 0.964734i \(0.584786\pi\)
\(728\) −10.0159 7.17232i −0.371214 0.265824i
\(729\) −26.9191 2.08888i −0.997003 0.0773660i
\(730\) −5.26600 9.12098i −0.194903 0.337583i
\(731\) 3.92490 22.2592i 0.145168 0.823287i
\(732\) −6.61836 3.93588i −0.244622 0.145474i
\(733\) −28.4923 10.3703i −1.05239 0.383037i −0.242824 0.970070i \(-0.578074\pi\)
−0.809563 + 0.587033i \(0.800296\pi\)
\(734\) −4.86388 27.5844i −0.179529 1.01816i
\(735\) 29.1919 22.8467i 1.07676 0.842712i
\(736\) 0.737662 + 0.618972i 0.0271906 + 0.0228156i
\(737\) −9.70648 −0.357543
\(738\) −13.2937 + 21.7112i −0.489348 + 0.799200i
\(739\) −3.82406 −0.140670 −0.0703351 0.997523i \(-0.522407\pi\)
−0.0703351 + 0.997523i \(0.522407\pi\)
\(740\) −2.97653 + 1.08337i −0.109419 + 0.0398254i
\(741\) 34.4355 + 42.1312i 1.26502 + 1.54773i
\(742\) 20.2176 + 29.5340i 0.742213 + 1.08423i
\(743\) 37.4971 + 13.6478i 1.37564 + 0.500691i 0.920852 0.389911i \(-0.127494\pi\)
0.454784 + 0.890602i \(0.349717\pi\)
\(744\) −4.24615 5.19509i −0.155672 0.190461i
\(745\) 17.5870 + 14.7573i 0.644338 + 0.540664i
\(746\) 5.28157 0.193372
\(747\) −7.05349 6.23581i −0.258074 0.228156i
\(748\) 12.5442 21.7272i 0.458661 0.794424i
\(749\) 1.21530 1.18985i 0.0444059 0.0434760i
\(750\) 2.25371 2.61652i 0.0822938 0.0955419i
\(751\) 29.2797 24.5686i 1.06843 0.896522i 0.0735233 0.997293i \(-0.476576\pi\)
0.994910 + 0.100772i \(0.0321312\pi\)
\(752\) −2.33117 13.2207i −0.0850090 0.482110i
\(753\) −16.8409 + 9.43542i −0.613718 + 0.343846i
\(754\) −14.1575 11.8796i −0.515587 0.432629i
\(755\) 15.9554 0.580675
\(756\) −5.18894 12.7309i −0.188720 0.463017i
\(757\) 0.444146 0.0161428 0.00807139 0.999967i \(-0.497431\pi\)
0.00807139 + 0.999967i \(0.497431\pi\)
\(758\) 26.7868 + 22.4768i 0.972939 + 0.816393i
\(759\) 0.117252 9.08368i 0.00425597 0.329717i
\(760\) 3.58215 + 20.3154i 0.129938 + 0.736917i
\(761\) 7.26923 6.09961i 0.263509 0.221111i −0.501454 0.865184i \(-0.667201\pi\)
0.764964 + 0.644074i \(0.222757\pi\)
\(762\) 25.1232 + 4.76503i 0.910117 + 0.172619i
\(763\) −14.0864 3.93464i −0.509961 0.142443i
\(764\) −3.49470 + 6.05301i −0.126434 + 0.218990i
\(765\) 39.3149 + 15.4699i 1.42143 + 0.559317i
\(766\) −12.6266 −0.456218
\(767\) −10.0269 8.41359i −0.362051 0.303797i
\(768\) −1.70948 + 0.278727i −0.0616854 + 0.0100577i
\(769\) −12.5921 4.58314i −0.454082 0.165272i 0.104846 0.994488i \(-0.466565\pi\)
−0.558928 + 0.829216i \(0.688787\pi\)
\(770\) −19.0418 + 39.7323i −0.686220 + 1.43185i
\(771\) −15.9374 + 42.0893i −0.573972 + 1.51581i
\(772\) −17.0540 + 6.20714i −0.613786 + 0.223400i
\(773\) −39.7566 −1.42995 −0.714973 0.699152i \(-0.753561\pi\)
−0.714973 + 0.699152i \(0.753561\pi\)
\(774\) 13.6988 + 5.39031i 0.492392 + 0.193751i
\(775\) −16.8428 −0.605013
\(776\) 5.83149 + 4.89320i 0.209338 + 0.175656i
\(777\) −3.27731 3.43500i −0.117573 0.123230i
\(778\) −1.83699 10.4181i −0.0658594 0.373507i
\(779\) 53.8024 + 19.5825i 1.92767 + 0.701615i
\(780\) −0.318250 + 24.6554i −0.0113952 + 0.882803i
\(781\) 11.3155 64.1733i 0.404900 2.29630i
\(782\) −2.21775 3.84125i −0.0793064 0.137363i
\(783\) −6.29848 19.6393i −0.225089 0.701853i
\(784\) 4.61197 5.26590i 0.164713 0.188068i
\(785\) −5.23141 + 1.90408i −0.186717 + 0.0679594i
\(786\) −0.0994099 + 7.70145i −0.00354583 + 0.274702i
\(787\) 0.752137 + 4.26558i 0.0268108 + 0.152052i 0.995274 0.0971042i \(-0.0309580\pi\)
−0.968463 + 0.249156i \(0.919847\pi\)
\(788\) 9.65071 + 3.51257i 0.343792 + 0.125130i
\(789\) −1.24494 0.236124i −0.0443211 0.00840623i
\(790\) 4.26289 + 3.57699i 0.151667 + 0.127264i
\(791\) −10.6072 + 4.81025i −0.377149 + 0.171033i
\(792\) 12.2420 + 10.8228i 0.435000 + 0.384572i
\(793\) −10.3501 + 17.9269i −0.367543 + 0.636602i
\(794\) −6.03045 5.06015i −0.214013 0.179578i
\(795\) 25.3685 66.9960i 0.899729 2.37610i
\(796\) 0.100776 + 0.571530i 0.00357192 + 0.0202574i
\(797\) 1.19588 + 0.435265i 0.0423602 + 0.0154179i 0.363113 0.931745i \(-0.381714\pi\)
−0.320753 + 0.947163i \(0.603936\pi\)
\(798\) −25.7370 + 17.1347i −0.911078 + 0.606563i
\(799\) −10.7377 + 60.8966i −0.379873 + 2.15437i
\(800\) −2.17395 + 3.76539i −0.0768606 + 0.133126i
\(801\) 10.2153 + 18.7978i 0.360939 + 0.664189i
\(802\) −14.3674 24.8850i −0.507330 0.878721i
\(803\) −3.25806 + 18.4774i −0.114974 + 0.652052i
\(804\) −1.01817 2.91389i −0.0359082 0.102765i
\(805\) 4.40011 + 6.42769i 0.155083 + 0.226546i
\(806\) −13.8172 + 11.5940i −0.486690 + 0.408382i
\(807\) 3.71669 2.08234i 0.130834 0.0733018i
\(808\) −0.887697 + 5.03438i −0.0312291 + 0.177109i
\(809\) −6.54342 + 11.3335i −0.230054 + 0.398466i −0.957824 0.287356i \(-0.907224\pi\)
0.727770 + 0.685822i \(0.240557\pi\)
\(810\) −14.9699 + 23.0886i −0.525989 + 0.811249i
\(811\) 6.82381 0.239616 0.119808 0.992797i \(-0.461772\pi\)
0.119808 + 0.992797i \(0.461772\pi\)
\(812\) 7.50386 7.34673i 0.263334 0.257820i
\(813\) 0.0695107 5.38510i 0.00243785 0.188864i
\(814\) 5.30258 + 1.92998i 0.185855 + 0.0676459i
\(815\) −39.0154 14.2004i −1.36665 0.497420i
\(816\) 7.83835 + 1.48667i 0.274397 + 0.0520440i
\(817\) 5.74920 32.6053i 0.201139 1.14072i
\(818\) −1.66945 + 2.89157i −0.0583710 + 0.101101i
\(819\) −34.0408 + 14.3897i −1.18948 + 0.502817i
\(820\) 12.9726 + 22.4691i 0.453022 + 0.784657i
\(821\) −8.92936 + 3.25002i −0.311637 + 0.113426i −0.493104 0.869971i \(-0.664138\pi\)
0.181467 + 0.983397i \(0.441915\pi\)
\(822\) −21.9143 + 3.57309i −0.764351 + 0.124626i
\(823\) 11.5374 9.68103i 0.402168 0.337459i −0.419163 0.907911i \(-0.637676\pi\)
0.821331 + 0.570452i \(0.193232\pi\)
\(824\) 1.95105 + 11.0650i 0.0679681 + 0.385466i
\(825\) 40.4833 6.60073i 1.40945 0.229808i
\(826\) 5.31453 5.20324i 0.184916 0.181044i
\(827\) 14.7262 + 25.5066i 0.512082 + 0.886952i 0.999902 + 0.0140074i \(0.00445885\pi\)
−0.487820 + 0.872944i \(0.662208\pi\)
\(828\) 2.73923 0.917646i 0.0951947 0.0318904i
\(829\) −11.2182 19.4305i −0.389624 0.674848i 0.602775 0.797911i \(-0.294062\pi\)
−0.992399 + 0.123063i \(0.960728\pi\)
\(830\) −9.01631 + 3.28167i −0.312961 + 0.113908i
\(831\) 6.48576 + 1.23013i 0.224989 + 0.0426728i
\(832\) 0.808538 + 4.58544i 0.0280310 + 0.158972i
\(833\) −28.2582 + 15.5271i −0.979088 + 0.537981i
\(834\) 18.3474 + 10.9110i 0.635318 + 0.377817i
\(835\) 10.6665 + 8.95024i 0.369129 + 0.309736i
\(836\) 18.3747 31.8260i 0.635504 1.10073i
\(837\) −19.9435 + 2.72532i −0.689347 + 0.0942010i
\(838\) −11.3114 19.5919i −0.390746 0.676792i
\(839\) −32.0170 + 11.6532i −1.10535 + 0.402314i −0.829285 0.558825i \(-0.811252\pi\)
−0.276063 + 0.961139i \(0.589030\pi\)
\(840\) −13.9251 1.54860i −0.480461 0.0534317i
\(841\) −10.1466 + 8.51397i −0.349881 + 0.293585i
\(842\) 7.15804 6.00631i 0.246682 0.206991i
\(843\) −4.20206 + 4.87853i −0.144726 + 0.168025i
\(844\) 0.470556 0.171268i 0.0161972 0.00589530i
\(845\) 26.5386 0.912956
\(846\) −37.4770 14.7468i −1.28849 0.507005i
\(847\) 44.9785 20.3972i 1.54548 0.700857i
\(848\) 2.34908 13.3223i 0.0806676 0.457489i
\(849\) −52.3838 + 8.54107i −1.79781 + 0.293129i
\(850\) 15.3416 12.8731i 0.526213 0.441545i
\(851\) 0.764231 0.641266i 0.0261975 0.0219823i
\(852\) 20.4518 3.33463i 0.700667 0.114242i
\(853\) −6.87816 + 39.0080i −0.235504 + 1.33561i 0.606046 + 0.795429i \(0.292755\pi\)
−0.841550 + 0.540179i \(0.818357\pi\)
\(854\) −9.56321 6.84816i −0.327246 0.234339i
\(855\) 57.5885 + 22.6604i 1.96948 + 0.774969i
\(856\) −0.642837 −0.0219717
\(857\) 19.9550 7.26304i 0.681651 0.248101i 0.0220948 0.999756i \(-0.492966\pi\)
0.659556 + 0.751655i \(0.270744\pi\)
\(858\) 28.6673 33.2823i 0.978684 1.13624i
\(859\) −23.1627 + 19.4358i −0.790302 + 0.663142i −0.945820 0.324691i \(-0.894740\pi\)
0.155518 + 0.987833i \(0.450295\pi\)
\(860\) 11.4929 9.64372i 0.391906 0.328848i
\(861\) −23.0469 + 31.3221i −0.785435 + 1.06745i
\(862\) −23.9301 + 8.70984i −0.815062 + 0.296658i
\(863\) −13.6663 23.6706i −0.465205 0.805758i 0.534006 0.845481i \(-0.320686\pi\)
−0.999211 + 0.0397226i \(0.987353\pi\)
\(864\) −1.96488 + 4.81033i −0.0668465 + 0.163651i
\(865\) 6.08814 10.5450i 0.207003 0.358540i
\(866\) −2.42351 2.03357i −0.0823543 0.0691035i
\(867\) −6.27731 3.73306i −0.213189 0.126781i
\(868\) −5.78948 8.45729i −0.196508 0.287059i
\(869\) −1.72146 9.76291i −0.0583967 0.331184i
\(870\) −20.6513 3.91686i −0.700144 0.132794i
\(871\) −7.79728 + 2.83798i −0.264201 + 0.0961613i
\(872\) 2.76397 + 4.78734i 0.0936000 + 0.162120i
\(873\) 21.6546 7.25433i 0.732897 0.245522i
\(874\) −3.24856 5.62666i −0.109884 0.190325i
\(875\) 3.76926 3.69033i 0.127424 0.124756i
\(876\) −5.88867 + 0.960136i −0.198960 + 0.0324400i
\(877\) −7.34485 41.6547i −0.248018 1.40658i −0.813378 0.581736i \(-0.802374\pi\)
0.565360 0.824844i \(-0.308737\pi\)
\(878\) −27.8845 + 23.3979i −0.941058 + 0.789641i
\(879\) −37.1945 + 6.06449i −1.25454 + 0.204550i
\(880\) 15.6487 5.69564i 0.527516 0.192000i
\(881\) 2.69867 + 4.67424i 0.0909206 + 0.157479i 0.907899 0.419190i \(-0.137686\pi\)
−0.816978 + 0.576669i \(0.804352\pi\)
\(882\) −6.24784 20.0491i −0.210376 0.675087i
\(883\) 23.7065 41.0609i 0.797787 1.38181i −0.123267 0.992374i \(-0.539337\pi\)
0.921054 0.389434i \(-0.127329\pi\)
\(884\) 3.72425 21.1213i 0.125260 0.710385i
\(885\) −14.6261 2.77407i −0.491649 0.0932495i
\(886\) 7.46335 + 2.71644i 0.250736 + 0.0912605i
\(887\) 21.4582 + 7.81015i 0.720496 + 0.262239i 0.676137 0.736776i \(-0.263653\pi\)
0.0443599 + 0.999016i \(0.485875\pi\)
\(888\) −0.0231606 + 1.79429i −0.000777218 + 0.0602123i
\(889\) 37.6204 + 10.5082i 1.26175 + 0.352434i
\(890\) 21.8037 0.730863
\(891\) 46.8679 14.3664i 1.57014 0.481294i
\(892\) −5.43908 + 9.42076i −0.182114 + 0.315430i
\(893\) −15.7286 + 89.2015i −0.526338 + 2.98501i
\(894\) 11.3465 6.35705i 0.379483 0.212612i
\(895\) 11.8669 9.95752i 0.396667 0.332843i
\(896\) −2.63798 + 0.202693i −0.0881286 + 0.00677150i
\(897\) −2.56170 7.33127i −0.0855325 0.244784i
\(898\) −2.09010 + 11.8536i −0.0697477 + 0.395559i
\(899\) −7.68795 13.3159i −0.256407 0.444111i
\(900\) 6.22809 + 11.4607i 0.207603 + 0.382024i
\(901\) −31.1556 + 53.9630i −1.03794 + 1.79777i
\(902\) 8.02608 45.5182i 0.267239 1.51559i
\(903\) 20.1512 + 9.97939i 0.670591 + 0.332093i
\(904\) 4.13665 + 1.50562i 0.137583 + 0.0500761i
\(905\) −7.58014 42.9891i −0.251972 1.42901i
\(906\) 3.20082 8.45308i 0.106340 0.280835i
\(907\) 12.5938 + 10.5675i 0.418171 + 0.350887i 0.827467 0.561515i \(-0.189781\pi\)
−0.409296 + 0.912402i \(0.634226\pi\)
\(908\) 2.51148 4.35001i 0.0833464 0.144360i
\(909\) 11.4898 + 10.1578i 0.381093 + 0.336914i
\(910\) −3.67951 + 37.4847i −0.121975 + 1.24260i
\(911\) −40.1004 33.6482i −1.32858 1.11481i −0.984406 0.175910i \(-0.943713\pi\)
−0.344178 0.938904i \(-0.611842\pi\)
\(912\) 11.4816 + 2.17768i 0.380195 + 0.0721102i
\(913\) 16.0622 + 5.84618i 0.531583 + 0.193480i
\(914\) 2.75019 + 15.5971i 0.0909681 + 0.515906i
\(915\) −0.303867 + 23.5410i −0.0100455 + 0.778243i
\(916\) −23.3671 + 8.50493i −0.772071 + 0.281011i
\(917\) −1.14935 + 11.7089i −0.0379548 + 0.386661i
\(918\) 16.0829 17.7254i 0.530815 0.585025i
\(919\) 16.5713 + 28.7023i 0.546637 + 0.946803i 0.998502 + 0.0547163i \(0.0174255\pi\)
−0.451865 + 0.892086i \(0.649241\pi\)
\(920\) 0.511246 2.89942i 0.0168553 0.0955911i
\(921\) −0.624235 + 48.3605i −0.0205693 + 1.59353i
\(922\) −13.6284 4.96034i −0.448828 0.163360i
\(923\) −9.67317 54.8593i −0.318396 1.80571i
\(924\) 17.2300 + 18.0590i 0.566825 + 0.594097i
\(925\) 3.45064 + 2.89543i 0.113456 + 0.0952013i
\(926\) −42.4872 −1.39622
\(927\) 31.3661 + 12.3422i 1.03020 + 0.405371i
\(928\) −3.96921 −0.130296
\(929\) −49.1911 + 17.9041i −1.61391 + 0.587414i −0.982208 0.187799i \(-0.939865\pi\)
−0.631700 + 0.775213i \(0.717643\pi\)
\(930\) −7.26448 + 19.1849i −0.238212 + 0.629096i
\(931\) −41.3926 + 22.7441i −1.35659 + 0.745407i
\(932\) −19.5732 7.12405i −0.641140 0.233356i
\(933\) 11.2026 1.82656i 0.366757 0.0597989i
\(934\) 10.8852 + 9.13374i 0.356173 + 0.298865i
\(935\) −76.7060 −2.50856
\(936\) 12.9985 + 5.11474i 0.424868 + 0.167180i
\(937\) 2.27119 3.93382i 0.0741965 0.128512i −0.826540 0.562878i \(-0.809694\pi\)
0.900737 + 0.434366i \(0.143027\pi\)
\(938\) −1.17206 4.56694i −0.0382692 0.149116i
\(939\) 4.92744 + 0.934571i 0.160801 + 0.0304986i
\(940\) −31.4423 + 26.3832i −1.02553 + 0.860526i
\(941\) 6.55146 + 37.1552i 0.213571 + 1.21122i 0.883368 + 0.468679i \(0.155270\pi\)
−0.669797 + 0.742544i \(0.733619\pi\)
\(942\) −0.0407059 + 3.15355i −0.00132627 + 0.102748i
\(943\) −6.25974 5.25255i −0.203845 0.171046i
\(944\) −2.81115 −0.0914951
\(945\) −25.7765 + 33.2012i −0.838511 + 1.08004i
\(946\) −26.7273 −0.868978
\(947\) −4.53261 3.80331i −0.147290 0.123591i 0.566165 0.824292i \(-0.308426\pi\)
−0.713455 + 0.700701i \(0.752871\pi\)
\(948\) 2.75025 1.54088i 0.0893241 0.0500454i
\(949\) 2.78519 + 15.7956i 0.0904110 + 0.512746i
\(950\) 22.4724 18.8566i 0.729102 0.611789i
\(951\) 16.7766 19.4774i 0.544020 0.631599i
\(952\) 11.7375 + 3.27853i 0.380413 + 0.106258i
\(953\) −21.1519 + 36.6362i −0.685179 + 1.18676i 0.288202 + 0.957570i \(0.406943\pi\)
−0.973381 + 0.229195i \(0.926391\pi\)
\(954\) −30.4050 26.8803i −0.984398 0.870280i
\(955\) 21.3696 0.691505
\(956\) −6.89162 5.78276i −0.222891 0.187028i
\(957\) 23.6972 + 28.9931i 0.766022 + 0.937215i
\(958\) −8.49697 3.09265i −0.274525 0.0999188i
\(959\) −33.8171 + 2.59839i −1.09201 + 0.0839063i
\(960\) 3.35132 + 4.10028i 0.108163 + 0.132336i
\(961\) 15.0292 5.47018i 0.484812 0.176457i
\(962\) 4.82389 0.155528
\(963\) −1.00704 + 1.64469i −0.0324515 + 0.0529995i
\(964\) 26.4764 0.852748
\(965\) 42.5061 + 35.6668i 1.36832 + 1.14816i
\(966\) 4.28807 1.04169i 0.137966 0.0335159i
\(967\) −3.45181 19.5762i −0.111003 0.629528i −0.988652 0.150224i \(-0.952000\pi\)
0.877649 0.479304i \(-0.159111\pi\)
\(968\) −17.5409 6.38437i −0.563787 0.205202i
\(969\) −46.2660 27.5139i −1.48628 0.883875i
\(970\) 4.04159 22.9210i 0.129768 0.735949i
\(971\) −18.2484 31.6071i −0.585618 1.01432i −0.994798 0.101867i \(-0.967518\pi\)
0.409180 0.912454i \(-0.365815\pi\)
\(972\) 9.22909 + 12.5628i 0.296023 + 0.402952i
\(973\) 26.5111 + 18.9844i 0.849906 + 0.608613i
\(974\) −2.38000 + 0.866248i −0.0762600 + 0.0277564i
\(975\) 30.5906 17.1389i 0.979684 0.548885i
\(976\) 0.771995 + 4.37820i 0.0247110 + 0.140143i
\(977\) −40.6419 14.7924i −1.30025 0.473252i −0.403171 0.915125i \(-0.632092\pi\)
−0.897078 + 0.441873i \(0.854314\pi\)
\(978\) −15.3502 + 17.8214i −0.490846 + 0.569866i
\(979\) −29.7552 24.9676i −0.950979 0.797966i
\(980\) −20.9935 4.16157i −0.670614 0.132936i
\(981\) 16.5783 + 0.428056i 0.529305 + 0.0136668i
\(982\) −12.7052 + 22.0061i −0.405441 + 0.702244i
\(983\) −4.40008 3.69211i −0.140341 0.117760i 0.569915 0.821704i \(-0.306976\pi\)
−0.710256 + 0.703944i \(0.751421\pi\)
\(984\) 14.5065 2.36525i 0.462450 0.0754015i
\(985\) −5.45256 30.9230i −0.173733 0.985289i
\(986\) 17.1802 + 6.25308i 0.547129 + 0.199139i
\(987\) −55.1297 27.3016i −1.75480 0.869019i
\(988\) 5.45528 30.9384i 0.173556 0.984283i
\(989\) −2.36262 + 4.09217i −0.0751268 + 0.130124i
\(990\) 9.94230 48.9595i 0.315987 1.55604i
\(991\) 11.2393 + 19.4670i 0.357027 + 0.618390i 0.987463 0.157852i \(-0.0504569\pi\)
−0.630435 + 0.776242i \(0.717124\pi\)
\(992\) −0.672677 + 3.81494i −0.0213575 + 0.121125i
\(993\) 24.7695 28.7571i 0.786037 0.912578i
\(994\) 31.5602 2.42497i 1.00103 0.0769155i
\(995\) 1.35925 1.14054i 0.0430911 0.0361577i
\(996\) −0.0701565 + 5.43514i −0.00222299 + 0.172219i
\(997\) −3.43330 + 19.4712i −0.108734 + 0.616660i 0.880929 + 0.473248i \(0.156919\pi\)
−0.989663 + 0.143412i \(0.954193\pi\)
\(998\) 17.0766 29.5775i 0.540550 0.936260i
\(999\) 4.55439 + 2.87012i 0.144094 + 0.0908064i
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 378.2.w.a.277.2 yes 72
7.2 even 3 378.2.v.b.331.10 yes 72
27.4 even 9 378.2.v.b.193.10 72
189.58 even 9 inner 378.2.w.a.247.2 yes 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.v.b.193.10 72 27.4 even 9
378.2.v.b.331.10 yes 72 7.2 even 3
378.2.w.a.247.2 yes 72 189.58 even 9 inner
378.2.w.a.277.2 yes 72 1.1 even 1 trivial