Properties

Label 380.2.bb.a.59.17
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.17
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.777543 + 1.18128i) q^{2} +(-1.85226 + 2.20744i) q^{3} +(-0.790854 - 1.83699i) q^{4} +(-0.543418 - 2.16903i) q^{5} +(-1.16739 - 3.90441i) q^{6} +(0.0958109 + 0.165949i) q^{7} +(2.78493 + 0.494121i) q^{8} +(-0.920966 - 5.22306i) q^{9} +O(q^{10})\) \(q+(-0.777543 + 1.18128i) q^{2} +(-1.85226 + 2.20744i) q^{3} +(-0.790854 - 1.83699i) q^{4} +(-0.543418 - 2.16903i) q^{5} +(-1.16739 - 3.90441i) q^{6} +(0.0958109 + 0.165949i) q^{7} +(2.78493 + 0.494121i) q^{8} +(-0.920966 - 5.22306i) q^{9} +(2.98477 + 1.04458i) q^{10} +(0.219953 + 0.126990i) q^{11} +(5.51991 + 1.65683i) q^{12} +(1.99715 - 1.67581i) q^{13} +(-0.270530 - 0.0158531i) q^{14} +(5.79455 + 2.81804i) q^{15} +(-2.74910 + 2.90559i) q^{16} +(2.07502 + 0.365881i) q^{17} +(6.88599 + 2.97323i) q^{18} +(4.07719 - 1.54161i) q^{19} +(-3.55473 + 2.71364i) q^{20} +(-0.543789 - 0.0958847i) q^{21} +(-0.321034 + 0.161086i) q^{22} +(-4.63707 - 1.68775i) q^{23} +(-6.24915 + 5.23232i) q^{24} +(-4.40939 + 2.35738i) q^{25} +(0.426732 + 3.66221i) q^{26} +(5.74881 + 3.31907i) q^{27} +(0.229076 - 0.307246i) q^{28} +(6.52866 - 1.15118i) q^{29} +(-7.83441 + 4.65384i) q^{30} +(1.47566 + 2.55592i) q^{31} +(-1.29478 - 5.50668i) q^{32} +(-0.687731 + 0.250314i) q^{33} +(-2.04562 + 2.16669i) q^{34} +(0.307884 - 0.297997i) q^{35} +(-8.86638 + 5.82248i) q^{36} +6.57793 q^{37} +(-1.34912 + 6.01497i) q^{38} +7.51261i q^{39} +(-0.441619 - 6.30912i) q^{40} +(-7.06401 + 8.41856i) q^{41} +(0.536086 - 0.567814i) q^{42} +(6.67333 - 2.42889i) q^{43} +(0.0593291 - 0.504483i) q^{44} +(-10.8285 + 4.83591i) q^{45} +(5.59923 - 4.16538i) q^{46} +(-0.936863 - 5.31322i) q^{47} +(-1.32186 - 11.4504i) q^{48} +(3.48164 - 6.03038i) q^{49} +(0.643758 - 7.04170i) q^{50} +(-4.65112 + 3.90276i) q^{51} +(-4.65791 - 2.34344i) q^{52} +(4.80209 + 1.74782i) q^{53} +(-8.39071 + 4.21024i) q^{54} +(0.155918 - 0.546093i) q^{55} +(0.184828 + 0.509500i) q^{56} +(-4.14901 + 11.8556i) q^{57} +(-3.71644 + 8.60727i) q^{58} +(2.04472 - 11.5962i) q^{59} +(0.594093 - 12.8732i) q^{60} +(11.1808 + 4.06946i) q^{61} +(-4.16665 - 0.244166i) q^{62} +(0.778525 - 0.653260i) q^{63} +(7.51169 + 2.75219i) q^{64} +(-4.72017 - 3.42122i) q^{65} +(0.239050 - 1.00703i) q^{66} +(2.04302 - 0.360240i) q^{67} +(-0.968912 - 4.10115i) q^{68} +(12.3147 - 7.10987i) q^{69} +(0.112625 + 0.595403i) q^{70} +(9.44807 - 3.43882i) q^{71} +(0.0159957 - 15.0009i) q^{72} +(2.30448 - 2.74637i) q^{73} +(-5.11462 + 7.77038i) q^{74} +(2.96356 - 14.0999i) q^{75} +(-6.05638 - 6.27059i) q^{76} +0.0486681i q^{77} +(-8.87451 - 5.84138i) q^{78} +(-5.82732 - 4.88970i) q^{79} +(7.79623 + 4.38393i) q^{80} +(-3.02357 + 1.10049i) q^{81} +(-4.45212 - 14.8904i) q^{82} +(1.59925 + 2.76998i) q^{83} +(0.253918 + 1.07477i) q^{84} +(-0.333994 - 4.69960i) q^{85} +(-2.31959 + 9.77165i) q^{86} +(-9.55160 + 16.5439i) q^{87} +(0.549805 + 0.462341i) q^{88} +(-8.40523 - 10.0170i) q^{89} +(2.70705 - 16.5516i) q^{90} +(0.469448 + 0.170865i) q^{91} +(0.566846 + 9.85304i) q^{92} +(-8.37534 - 1.47680i) q^{93} +(7.00486 + 3.02455i) q^{94} +(-5.55941 - 8.00581i) q^{95} +(14.5539 + 7.34166i) q^{96} +(2.46221 - 13.9639i) q^{97} +(4.41645 + 8.80168i) q^{98} +(0.460706 - 1.26578i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.777543 + 1.18128i −0.549806 + 0.835292i
\(3\) −1.85226 + 2.20744i −1.06940 + 1.27446i −0.109542 + 0.993982i \(0.534939\pi\)
−0.959859 + 0.280481i \(0.909506\pi\)
\(4\) −0.790854 1.83699i −0.395427 0.918497i
\(5\) −0.543418 2.16903i −0.243024 0.970020i
\(6\) −1.16739 3.90441i −0.476586 1.59397i
\(7\) 0.0958109 + 0.165949i 0.0362131 + 0.0627230i 0.883564 0.468311i \(-0.155137\pi\)
−0.847351 + 0.531034i \(0.821804\pi\)
\(8\) 2.78493 + 0.494121i 0.984622 + 0.174698i
\(9\) −0.920966 5.22306i −0.306989 1.74102i
\(10\) 2.98477 + 1.04458i 0.943867 + 0.330327i
\(11\) 0.219953 + 0.126990i 0.0663183 + 0.0382889i 0.532792 0.846246i \(-0.321143\pi\)
−0.466474 + 0.884535i \(0.654476\pi\)
\(12\) 5.51991 + 1.65683i 1.59346 + 0.478286i
\(13\) 1.99715 1.67581i 0.553910 0.464786i −0.322352 0.946620i \(-0.604474\pi\)
0.876263 + 0.481834i \(0.160029\pi\)
\(14\) −0.270530 0.0158531i −0.0723022 0.00423691i
\(15\) 5.79455 + 2.81804i 1.49615 + 0.727616i
\(16\) −2.74910 + 2.90559i −0.687275 + 0.726397i
\(17\) 2.07502 + 0.365881i 0.503265 + 0.0887392i 0.419517 0.907748i \(-0.362200\pi\)
0.0837487 + 0.996487i \(0.473311\pi\)
\(18\) 6.88599 + 2.97323i 1.62304 + 0.700797i
\(19\) 4.07719 1.54161i 0.935371 0.353669i
\(20\) −3.55473 + 2.71364i −0.794863 + 0.606789i
\(21\) −0.543789 0.0958847i −0.118665 0.0209238i
\(22\) −0.321034 + 0.161086i −0.0684446 + 0.0343437i
\(23\) −4.63707 1.68775i −0.966896 0.351921i −0.190164 0.981752i \(-0.560902\pi\)
−0.776732 + 0.629831i \(0.783124\pi\)
\(24\) −6.24915 + 5.23232i −1.27560 + 1.06804i
\(25\) −4.40939 + 2.35738i −0.881879 + 0.471477i
\(26\) 0.426732 + 3.66221i 0.0836890 + 0.718219i
\(27\) 5.74881 + 3.31907i 1.10636 + 0.638756i
\(28\) 0.229076 0.307246i 0.0432913 0.0580640i
\(29\) 6.52866 1.15118i 1.21234 0.213768i 0.469315 0.883031i \(-0.344501\pi\)
0.743026 + 0.669263i \(0.233390\pi\)
\(30\) −7.83441 + 4.65384i −1.43036 + 0.849672i
\(31\) 1.47566 + 2.55592i 0.265037 + 0.459057i 0.967573 0.252591i \(-0.0812826\pi\)
−0.702537 + 0.711648i \(0.747949\pi\)
\(32\) −1.29478 5.50668i −0.228886 0.973453i
\(33\) −0.687731 + 0.250314i −0.119719 + 0.0435740i
\(34\) −2.04562 + 2.16669i −0.350821 + 0.371584i
\(35\) 0.307884 0.297997i 0.0520419 0.0503707i
\(36\) −8.86638 + 5.82248i −1.47773 + 0.970414i
\(37\) 6.57793 1.08140 0.540702 0.841214i \(-0.318159\pi\)
0.540702 + 0.841214i \(0.318159\pi\)
\(38\) −1.34912 + 6.01497i −0.218856 + 0.975757i
\(39\) 7.51261i 1.20298i
\(40\) −0.441619 6.30912i −0.0698261 0.997559i
\(41\) −7.06401 + 8.41856i −1.10321 + 1.31476i −0.158316 + 0.987389i \(0.550606\pi\)
−0.944897 + 0.327369i \(0.893838\pi\)
\(42\) 0.536086 0.567814i 0.0827199 0.0876156i
\(43\) 6.67333 2.42889i 1.01767 0.370403i 0.221298 0.975206i \(-0.428971\pi\)
0.796375 + 0.604803i \(0.206748\pi\)
\(44\) 0.0593291 0.504483i 0.00894420 0.0760536i
\(45\) −10.8285 + 4.83591i −1.61422 + 0.720895i
\(46\) 5.59923 4.16538i 0.825562 0.614152i
\(47\) −0.936863 5.31322i −0.136656 0.775012i −0.973693 0.227866i \(-0.926825\pi\)
0.837037 0.547146i \(-0.184286\pi\)
\(48\) −1.32186 11.4504i −0.190794 1.65272i
\(49\) 3.48164 6.03038i 0.497377 0.861483i
\(50\) 0.643758 7.04170i 0.0910411 0.995847i
\(51\) −4.65112 + 3.90276i −0.651288 + 0.546495i
\(52\) −4.65791 2.34344i −0.645935 0.324976i
\(53\) 4.80209 + 1.74782i 0.659618 + 0.240081i 0.650071 0.759873i \(-0.274739\pi\)
0.00954631 + 0.999954i \(0.496961\pi\)
\(54\) −8.39071 + 4.21024i −1.14183 + 0.572941i
\(55\) 0.155918 0.546093i 0.0210240 0.0736352i
\(56\) 0.184828 + 0.509500i 0.0246987 + 0.0680848i
\(57\) −4.14901 + 11.8556i −0.549549 + 1.57031i
\(58\) −3.71644 + 8.60727i −0.487993 + 1.13019i
\(59\) 2.04472 11.5962i 0.266200 1.50970i −0.499396 0.866374i \(-0.666445\pi\)
0.765596 0.643322i \(-0.222444\pi\)
\(60\) 0.594093 12.8732i 0.0766971 1.66193i
\(61\) 11.1808 + 4.06946i 1.43155 + 0.521041i 0.937375 0.348321i \(-0.113248\pi\)
0.494174 + 0.869363i \(0.335470\pi\)
\(62\) −4.16665 0.244166i −0.529165 0.0310091i
\(63\) 0.778525 0.653260i 0.0980849 0.0823030i
\(64\) 7.51169 + 2.75219i 0.938961 + 0.344023i
\(65\) −4.72017 3.42122i −0.585465 0.424350i
\(66\) 0.239050 1.00703i 0.0294250 0.123957i
\(67\) 2.04302 0.360240i 0.249595 0.0440103i −0.0474508 0.998874i \(-0.515110\pi\)
0.297046 + 0.954863i \(0.403999\pi\)
\(68\) −0.968912 4.10115i −0.117498 0.497338i
\(69\) 12.3147 7.10987i 1.48251 0.855928i
\(70\) 0.112625 + 0.595403i 0.0134613 + 0.0711643i
\(71\) 9.44807 3.43882i 1.12128 0.408112i 0.286160 0.958182i \(-0.407621\pi\)
0.835119 + 0.550069i \(0.185399\pi\)
\(72\) 0.0159957 15.0009i 0.00188512 1.76788i
\(73\) 2.30448 2.74637i 0.269719 0.321438i −0.614136 0.789200i \(-0.710495\pi\)
0.883854 + 0.467762i \(0.154940\pi\)
\(74\) −5.11462 + 7.77038i −0.594562 + 0.903289i
\(75\) 2.96356 14.0999i 0.342203 1.62812i
\(76\) −6.05638 6.27059i −0.694715 0.719285i
\(77\) 0.0486681i 0.00554624i
\(78\) −8.87451 5.84138i −1.00484 0.661406i
\(79\) −5.82732 4.88970i −0.655625 0.550135i 0.253147 0.967428i \(-0.418534\pi\)
−0.908772 + 0.417293i \(0.862979\pi\)
\(80\) 7.79623 + 4.38393i 0.871644 + 0.490139i
\(81\) −3.02357 + 1.10049i −0.335952 + 0.122277i
\(82\) −4.45212 14.8904i −0.491654 1.64437i
\(83\) 1.59925 + 2.76998i 0.175540 + 0.304045i 0.940348 0.340214i \(-0.110499\pi\)
−0.764808 + 0.644259i \(0.777166\pi\)
\(84\) 0.253918 + 1.07477i 0.0277047 + 0.117267i
\(85\) −0.333994 4.69960i −0.0362267 0.509743i
\(86\) −2.31959 + 9.77165i −0.250128 + 1.05370i
\(87\) −9.55160 + 16.5439i −1.02404 + 1.77369i
\(88\) 0.549805 + 0.462341i 0.0586094 + 0.0492858i
\(89\) −8.40523 10.0170i −0.890953 1.06180i −0.997718 0.0675121i \(-0.978494\pi\)
0.106766 0.994284i \(-0.465951\pi\)
\(90\) 2.70705 16.5516i 0.285349 1.74470i
\(91\) 0.469448 + 0.170865i 0.0492116 + 0.0179115i
\(92\) 0.566846 + 9.85304i 0.0590978 + 1.02725i
\(93\) −8.37534 1.47680i −0.868482 0.153137i
\(94\) 7.00486 + 3.02455i 0.722496 + 0.311959i
\(95\) −5.55941 8.00581i −0.570384 0.821379i
\(96\) 14.5539 + 7.34166i 1.48540 + 0.749305i
\(97\) 2.46221 13.9639i 0.250000 1.41782i −0.558590 0.829444i \(-0.688657\pi\)
0.808589 0.588374i \(-0.200232\pi\)
\(98\) 4.41645 + 8.80168i 0.446129 + 0.889104i
\(99\) 0.460706 1.26578i 0.0463027 0.127216i
\(100\) 7.81769 + 6.23569i 0.781769 + 0.623569i
\(101\) −10.1766 + 8.53922i −1.01261 + 0.849684i −0.988682 0.150029i \(-0.952063\pi\)
−0.0239326 + 0.999714i \(0.507619\pi\)
\(102\) −0.993807 8.52885i −0.0984015 0.844482i
\(103\) 13.3173 + 7.68877i 1.31220 + 0.757597i 0.982459 0.186476i \(-0.0597068\pi\)
0.329736 + 0.944073i \(0.393040\pi\)
\(104\) 6.38998 3.68018i 0.626589 0.360871i
\(105\) 0.0875282 + 1.23160i 0.00854188 + 0.120192i
\(106\) −5.79849 + 4.31362i −0.563200 + 0.418976i
\(107\) −8.80846 + 5.08557i −0.851546 + 0.491640i −0.861172 0.508313i \(-0.830269\pi\)
0.00962624 + 0.999954i \(0.496936\pi\)
\(108\) 1.55066 13.1854i 0.149212 1.26877i
\(109\) 2.76832 + 7.60589i 0.265157 + 0.728512i 0.998800 + 0.0489773i \(0.0155962\pi\)
−0.733643 + 0.679535i \(0.762182\pi\)
\(110\) 0.523857 + 0.608795i 0.0499478 + 0.0580463i
\(111\) −12.1840 + 14.5203i −1.15646 + 1.37821i
\(112\) −0.745575 0.177824i −0.0704502 0.0168028i
\(113\) −6.60225 −0.621088 −0.310544 0.950559i \(-0.600511\pi\)
−0.310544 + 0.950559i \(0.600511\pi\)
\(114\) −10.7788 14.1194i −1.00952 1.32240i
\(115\) −1.14092 + 10.9751i −0.106392 + 1.02343i
\(116\) −7.27792 11.0827i −0.675738 1.02900i
\(117\) −10.5922 8.88787i −0.979245 0.821684i
\(118\) 12.1085 + 11.4319i 1.11468 + 1.05239i
\(119\) 0.138091 + 0.379403i 0.0126588 + 0.0347798i
\(120\) 14.7450 + 10.7113i 1.34602 + 0.977801i
\(121\) −5.46775 9.47042i −0.497068 0.860947i
\(122\) −13.5007 + 10.0434i −1.22230 + 0.909291i
\(123\) −5.49905 31.1867i −0.495833 2.81201i
\(124\) 3.52818 4.73214i 0.316840 0.424959i
\(125\) 7.50938 + 8.28306i 0.671660 + 0.740860i
\(126\) 0.166348 + 1.42759i 0.0148194 + 0.127180i
\(127\) 2.41341 + 2.87619i 0.214155 + 0.255220i 0.862418 0.506196i \(-0.168949\pi\)
−0.648263 + 0.761416i \(0.724504\pi\)
\(128\) −9.09177 + 6.73348i −0.803606 + 0.595161i
\(129\) −6.99910 + 19.2299i −0.616237 + 1.69310i
\(130\) 7.71156 2.91571i 0.676348 0.255725i
\(131\) −21.2428 3.74567i −1.85599 0.327261i −0.869867 0.493286i \(-0.835796\pi\)
−0.986122 + 0.166025i \(0.946907\pi\)
\(132\) 1.00372 + 1.06540i 0.0873626 + 0.0927309i
\(133\) 0.646468 + 0.528904i 0.0560559 + 0.0458618i
\(134\) −1.16299 + 2.69349i −0.100467 + 0.232682i
\(135\) 4.07517 14.2730i 0.350735 1.22842i
\(136\) 5.59799 + 2.04426i 0.480024 + 0.175294i
\(137\) −1.62948 + 4.47695i −0.139215 + 0.382491i −0.989633 0.143616i \(-0.954127\pi\)
0.850418 + 0.526108i \(0.176349\pi\)
\(138\) −1.17641 + 20.0753i −0.100143 + 1.70892i
\(139\) 2.89532 + 3.45051i 0.245578 + 0.292668i 0.874727 0.484617i \(-0.161041\pi\)
−0.629149 + 0.777285i \(0.716596\pi\)
\(140\) −0.790910 0.329909i −0.0668441 0.0278824i
\(141\) 13.4639 + 7.77338i 1.13386 + 0.654637i
\(142\) −3.28407 + 13.8347i −0.275593 + 1.16098i
\(143\) 0.652090 0.114981i 0.0545305 0.00961520i
\(144\) 17.7079 + 11.6828i 1.47566 + 0.973563i
\(145\) −6.04473 13.5353i −0.501988 1.12404i
\(146\) 1.45241 + 4.85766i 0.120202 + 0.402023i
\(147\) 6.86277 + 18.8553i 0.566032 + 1.55516i
\(148\) −5.20218 12.0836i −0.427616 0.993267i
\(149\) 0.0188513 + 0.0158181i 0.00154436 + 0.00129587i 0.643559 0.765396i \(-0.277457\pi\)
−0.642015 + 0.766692i \(0.721901\pi\)
\(150\) 14.3517 + 14.4641i 1.17181 + 1.18099i
\(151\) 1.21023 0.0984867 0.0492434 0.998787i \(-0.484319\pi\)
0.0492434 + 0.998787i \(0.484319\pi\)
\(152\) 12.1164 2.27864i 0.982772 0.184822i
\(153\) 11.1749i 0.903436i
\(154\) −0.0574907 0.0378415i −0.00463273 0.00304936i
\(155\) 4.74197 4.58969i 0.380884 0.368653i
\(156\) 13.8006 5.94138i 1.10493 0.475691i
\(157\) −6.83282 18.7730i −0.545318 1.49825i −0.839964 0.542643i \(-0.817424\pi\)
0.294645 0.955607i \(-0.404798\pi\)
\(158\) 10.3071 3.08176i 0.819990 0.245171i
\(159\) −12.7529 + 7.36289i −1.01137 + 0.583915i
\(160\) −11.2406 + 5.80084i −0.888644 + 0.458597i
\(161\) −0.164200 0.931224i −0.0129408 0.0733908i
\(162\) 1.05097 4.42736i 0.0825717 0.347846i
\(163\) 5.76941 9.99291i 0.451895 0.782705i −0.546609 0.837388i \(-0.684081\pi\)
0.998504 + 0.0546830i \(0.0174148\pi\)
\(164\) 21.0514 + 6.31870i 1.64384 + 0.493407i
\(165\) 0.916664 + 1.35569i 0.0713622 + 0.105540i
\(166\) −4.51561 0.264615i −0.350480 0.0205381i
\(167\) −7.10931 + 19.5327i −0.550135 + 1.51148i 0.283391 + 0.959004i \(0.408541\pi\)
−0.833526 + 0.552480i \(0.813682\pi\)
\(168\) −1.46704 0.535730i −0.113184 0.0413325i
\(169\) −1.07715 + 6.10881i −0.0828576 + 0.469909i
\(170\) 5.81125 + 3.25960i 0.445702 + 0.250000i
\(171\) −11.8068 19.8756i −0.902892 1.51993i
\(172\) −9.73949 10.3380i −0.742629 0.788263i
\(173\) −0.948110 + 5.37700i −0.0720835 + 0.408806i 0.927320 + 0.374270i \(0.122107\pi\)
−0.999403 + 0.0345363i \(0.989005\pi\)
\(174\) −12.1162 24.1467i −0.918526 1.83056i
\(175\) −0.813674 0.505873i −0.0615080 0.0382404i
\(176\) −0.973653 + 0.289985i −0.0733918 + 0.0218584i
\(177\) 21.8105 + 25.9927i 1.63938 + 1.95373i
\(178\) 18.3683 2.14033i 1.37676 0.160424i
\(179\) 5.97553 10.3499i 0.446632 0.773589i −0.551532 0.834154i \(-0.685957\pi\)
0.998164 + 0.0605641i \(0.0192900\pi\)
\(180\) 17.4473 + 16.0674i 1.30045 + 1.19759i
\(181\) 1.91519 0.337700i 0.142355 0.0251010i −0.102017 0.994783i \(-0.532529\pi\)
0.244371 + 0.969682i \(0.421418\pi\)
\(182\) −0.566856 + 0.421696i −0.0420182 + 0.0312582i
\(183\) −29.6927 + 17.1431i −2.19495 + 1.26725i
\(184\) −12.0800 6.99156i −0.890547 0.515424i
\(185\) −3.57457 14.2677i −0.262807 1.04898i
\(186\) 8.25670 8.74536i 0.605410 0.641241i
\(187\) 0.409942 + 0.343983i 0.0299780 + 0.0251545i
\(188\) −9.01943 + 5.92299i −0.657810 + 0.431979i
\(189\) 1.27201i 0.0925255i
\(190\) 13.7798 0.342372i 0.999691 0.0248383i
\(191\) 22.4077i 1.62137i −0.585486 0.810683i \(-0.699096\pi\)
0.585486 0.810683i \(-0.300904\pi\)
\(192\) −19.9889 + 11.4838i −1.44257 + 0.828772i
\(193\) 2.58774 + 2.17137i 0.186270 + 0.156299i 0.731154 0.682212i \(-0.238982\pi\)
−0.544884 + 0.838511i \(0.683426\pi\)
\(194\) 14.5808 + 13.7661i 1.04684 + 0.988347i
\(195\) 16.2951 4.08249i 1.16692 0.292353i
\(196\) −13.8312 1.62661i −0.987946 0.116186i
\(197\) 19.7720 11.4154i 1.40870 0.813311i 0.413433 0.910534i \(-0.364329\pi\)
0.995263 + 0.0972234i \(0.0309961\pi\)
\(198\) 1.13702 + 1.52842i 0.0808048 + 0.108620i
\(199\) −17.6314 + 3.10890i −1.24986 + 0.220384i −0.759136 0.650932i \(-0.774378\pi\)
−0.490723 + 0.871316i \(0.663267\pi\)
\(200\) −13.4447 + 4.38638i −0.950683 + 0.310164i
\(201\) −2.98900 + 5.17710i −0.210828 + 0.365164i
\(202\) −2.17445 18.6611i −0.152994 1.31299i
\(203\) 0.816554 + 0.973131i 0.0573109 + 0.0683004i
\(204\) 10.8477 + 5.45758i 0.759491 + 0.382107i
\(205\) 22.0988 + 10.7473i 1.54345 + 0.750621i
\(206\) −19.4374 + 9.75318i −1.35427 + 0.679536i
\(207\) −4.54466 + 25.7740i −0.315876 + 1.79142i
\(208\) −0.621157 + 10.4099i −0.0430695 + 0.721794i
\(209\) 1.09256 + 0.178681i 0.0755738 + 0.0123596i
\(210\) −1.52293 0.854227i −0.105092 0.0589473i
\(211\) −1.67355 + 9.49116i −0.115212 + 0.653398i 0.871433 + 0.490514i \(0.163191\pi\)
−0.986645 + 0.162884i \(0.947920\pi\)
\(212\) −0.587019 10.2037i −0.0403166 0.700792i
\(213\) −9.90930 + 27.2256i −0.678974 + 1.86547i
\(214\) 0.841468 14.3595i 0.0575216 0.981597i
\(215\) −8.89476 13.1548i −0.606617 0.897147i
\(216\) 14.3700 + 12.0840i 0.977755 + 0.822212i
\(217\) −0.282769 + 0.489770i −0.0191956 + 0.0332478i
\(218\) −11.1372 2.64374i −0.754306 0.179057i
\(219\) 1.79395 + 10.1740i 0.121224 + 0.687493i
\(220\) −1.12648 + 0.145458i −0.0759472 + 0.00980681i
\(221\) 4.75727 2.74661i 0.320008 0.184757i
\(222\) −7.67902 25.6829i −0.515382 1.72373i
\(223\) −1.20429 3.30877i −0.0806454 0.221572i 0.892816 0.450421i \(-0.148726\pi\)
−0.973462 + 0.228849i \(0.926504\pi\)
\(224\) 0.789777 0.742468i 0.0527692 0.0496082i
\(225\) 16.3736 + 20.8594i 1.09158 + 1.39063i
\(226\) 5.13354 7.79912i 0.341478 0.518790i
\(227\) 15.8038i 1.04893i −0.851431 0.524467i \(-0.824265\pi\)
0.851431 0.524467i \(-0.175735\pi\)
\(228\) 25.0599 1.75433i 1.65963 0.116183i
\(229\) −16.4726 −1.08854 −0.544268 0.838911i \(-0.683193\pi\)
−0.544268 + 0.838911i \(0.683193\pi\)
\(230\) −12.0776 9.88137i −0.796372 0.651558i
\(231\) −0.107432 0.0901458i −0.00706848 0.00593116i
\(232\) 18.7507 + 0.0199942i 1.23104 + 0.00131268i
\(233\) 3.51094 + 9.64624i 0.230009 + 0.631946i 0.999981 0.00613213i \(-0.00195193\pi\)
−0.769972 + 0.638078i \(0.779730\pi\)
\(234\) 18.7349 5.60162i 1.22474 0.366189i
\(235\) −11.0154 + 4.91939i −0.718567 + 0.320905i
\(236\) −22.9192 + 5.41475i −1.49191 + 0.352470i
\(237\) 21.5874 3.80644i 1.40225 0.247255i
\(238\) −0.555554 0.131877i −0.0360112 0.00854834i
\(239\) 18.9539 + 10.9430i 1.22603 + 0.707846i 0.966196 0.257809i \(-0.0830004\pi\)
0.259829 + 0.965655i \(0.416334\pi\)
\(240\) −24.1179 + 9.08949i −1.55680 + 0.586724i
\(241\) 14.3132 + 17.0578i 0.921993 + 1.09879i 0.994841 + 0.101445i \(0.0323467\pi\)
−0.0728483 + 0.997343i \(0.523209\pi\)
\(242\) 15.4386 + 0.904705i 0.992433 + 0.0581566i
\(243\) −3.63997 + 10.0007i −0.233504 + 0.641548i
\(244\) −1.36676 23.7573i −0.0874980 1.52091i
\(245\) −14.9721 4.27477i −0.956530 0.273105i
\(246\) 41.1160 + 17.7530i 2.62146 + 1.13189i
\(247\) 5.55932 9.91141i 0.353731 0.630648i
\(248\) 2.84668 + 7.84722i 0.180764 + 0.498299i
\(249\) −9.07678 1.60048i −0.575217 0.101426i
\(250\) −15.6235 + 2.43026i −0.988117 + 0.153703i
\(251\) 0.238781 0.656046i 0.0150717 0.0414092i −0.931929 0.362642i \(-0.881875\pi\)
0.947000 + 0.321232i \(0.104097\pi\)
\(252\) −1.81573 0.913513i −0.114381 0.0575459i
\(253\) −0.805609 0.960087i −0.0506482 0.0603602i
\(254\) −5.27411 + 0.614555i −0.330927 + 0.0385606i
\(255\) 10.9927 + 7.96760i 0.688390 + 0.498951i
\(256\) −0.884894 15.9755i −0.0553059 0.998469i
\(257\) 4.39595 + 24.9307i 0.274212 + 1.55513i 0.741454 + 0.671003i \(0.234136\pi\)
−0.467243 + 0.884129i \(0.654753\pi\)
\(258\) −17.2738 23.2200i −1.07542 1.44561i
\(259\) 0.630237 + 1.09160i 0.0391610 + 0.0678289i
\(260\) −2.55179 + 11.3766i −0.158256 + 0.705548i
\(261\) −12.0253 33.0393i −0.744350 2.04508i
\(262\) 20.9419 22.1813i 1.29379 1.37036i
\(263\) −2.76507 2.32017i −0.170502 0.143068i 0.553544 0.832820i \(-0.313275\pi\)
−0.724046 + 0.689752i \(0.757719\pi\)
\(264\) −2.03897 + 0.357284i −0.125490 + 0.0219893i
\(265\) 1.18153 11.3657i 0.0725806 0.698188i
\(266\) −1.12744 + 0.352415i −0.0691279 + 0.0216080i
\(267\) 37.6805 2.30601
\(268\) −2.27749 3.46812i −0.139120 0.211849i
\(269\) −0.966795 + 1.15218i −0.0589465 + 0.0702497i −0.794712 0.606987i \(-0.792378\pi\)
0.735765 + 0.677236i \(0.236823\pi\)
\(270\) 13.6918 + 15.9118i 0.833257 + 0.968360i
\(271\) 5.94257 + 16.3271i 0.360985 + 0.991799i 0.978682 + 0.205382i \(0.0658438\pi\)
−0.617696 + 0.786417i \(0.711934\pi\)
\(272\) −6.76753 + 5.02330i −0.410342 + 0.304582i
\(273\) −1.24671 + 0.719791i −0.0754545 + 0.0435637i
\(274\) −4.02155 5.40589i −0.242951 0.326582i
\(275\) −1.26922 0.0414349i −0.0765370 0.00249862i
\(276\) −22.7999 16.9991i −1.37239 1.02323i
\(277\) −12.7706 7.37314i −0.767314 0.443009i 0.0646017 0.997911i \(-0.479422\pi\)
−0.831916 + 0.554902i \(0.812756\pi\)
\(278\) −6.32726 + 0.737270i −0.379484 + 0.0442185i
\(279\) 11.9907 10.0614i 0.717864 0.602359i
\(280\) 1.00468 0.677769i 0.0600413 0.0405044i
\(281\) 0.243968 0.670298i 0.0145539 0.0399866i −0.932203 0.361936i \(-0.882116\pi\)
0.946757 + 0.321949i \(0.104338\pi\)
\(282\) −19.6513 + 9.86052i −1.17022 + 0.587185i
\(283\) −0.0957935 + 0.543272i −0.00569433 + 0.0322942i −0.987523 0.157478i \(-0.949664\pi\)
0.981828 + 0.189772i \(0.0607749\pi\)
\(284\) −13.7891 14.6365i −0.818234 0.868514i
\(285\) 27.9698 + 2.55678i 1.65679 + 0.151451i
\(286\) −0.371203 + 0.859705i −0.0219497 + 0.0508354i
\(287\) −2.07386 0.365678i −0.122416 0.0215853i
\(288\) −27.5693 + 11.8342i −1.62454 + 0.697334i
\(289\) −11.8030 4.29592i −0.694291 0.252701i
\(290\) 20.6890 + 3.38373i 1.21490 + 0.198700i
\(291\) 26.2637 + 31.2999i 1.53961 + 1.83483i
\(292\) −6.86757 2.06134i −0.401894 0.120631i
\(293\) −1.26930 + 2.19849i −0.0741532 + 0.128437i −0.900718 0.434405i \(-0.856959\pi\)
0.826565 + 0.562842i \(0.190292\pi\)
\(294\) −27.6095 6.55395i −1.61022 0.382234i
\(295\) −26.2636 + 1.86652i −1.52913 + 0.108673i
\(296\) 18.3191 + 3.25029i 1.06477 + 0.188919i
\(297\) 0.842978 + 1.46008i 0.0489145 + 0.0847224i
\(298\) −0.0333433 + 0.00996943i −0.00193153 + 0.000577513i
\(299\) −12.0893 + 4.40014i −0.699141 + 0.254467i
\(300\) −28.2452 + 5.70694i −1.63074 + 0.329490i
\(301\) 1.04245 + 0.874721i 0.0600859 + 0.0504181i
\(302\) −0.941002 + 1.42962i −0.0541486 + 0.0822652i
\(303\) 38.2811i 2.19919i
\(304\) −6.72932 + 16.0847i −0.385953 + 0.922518i
\(305\) 2.75096 26.4628i 0.157520 1.51526i
\(306\) 13.2007 + 8.68896i 0.754634 + 0.496715i
\(307\) −10.4012 + 12.3957i −0.593630 + 0.707461i −0.976299 0.216425i \(-0.930560\pi\)
0.382669 + 0.923885i \(0.375005\pi\)
\(308\) 0.0894030 0.0384893i 0.00509421 0.00219313i
\(309\) −41.6396 + 15.1556i −2.36879 + 0.862170i
\(310\) 1.73463 + 9.17028i 0.0985205 + 0.520837i
\(311\) 22.3213 12.8872i 1.26572 0.730766i 0.291549 0.956556i \(-0.405829\pi\)
0.974176 + 0.225790i \(0.0724962\pi\)
\(312\) −3.71214 + 20.9221i −0.210159 + 1.18448i
\(313\) −24.7407 + 4.36245i −1.39843 + 0.246580i −0.821497 0.570213i \(-0.806861\pi\)
−0.576930 + 0.816793i \(0.695750\pi\)
\(314\) 27.4890 + 6.52534i 1.55130 + 0.368246i
\(315\) −1.84001 1.33365i −0.103673 0.0751427i
\(316\) −4.37380 + 14.5718i −0.246046 + 0.819728i
\(317\) −8.87066 + 7.44337i −0.498226 + 0.418061i −0.856963 0.515377i \(-0.827652\pi\)
0.358738 + 0.933438i \(0.383207\pi\)
\(318\) 1.21828 20.7897i 0.0683177 1.16583i
\(319\) 1.58218 + 0.575868i 0.0885853 + 0.0322424i
\(320\) 1.88759 17.7887i 0.105519 0.994417i
\(321\) 5.08948 28.8639i 0.284067 1.61103i
\(322\) 1.22771 + 0.530100i 0.0684177 + 0.0295413i
\(323\) 9.02427 1.70709i 0.502124 0.0949851i
\(324\) 4.41279 + 4.68395i 0.245155 + 0.260220i
\(325\) −4.85570 + 12.0973i −0.269346 + 0.671040i
\(326\) 7.31848 + 14.5852i 0.405333 + 0.807800i
\(327\) −21.9172 7.97719i −1.21202 0.441140i
\(328\) −23.8326 + 19.9546i −1.31593 + 1.10181i
\(329\) 0.791963 0.664536i 0.0436624 0.0366371i
\(330\) −2.31419 + 0.0287350i −0.127392 + 0.00158181i
\(331\) 6.55680 11.3567i 0.360394 0.624221i −0.627631 0.778511i \(-0.715976\pi\)
0.988026 + 0.154290i \(0.0493088\pi\)
\(332\) 3.82367 5.12846i 0.209851 0.281461i
\(333\) −6.05805 34.3569i −0.331979 1.88275i
\(334\) −17.5458 23.5856i −0.960064 1.29055i
\(335\) −1.89159 4.23562i −0.103348 0.231417i
\(336\) 1.77353 1.31643i 0.0967541 0.0718172i
\(337\) 5.07189 1.84602i 0.276284 0.100559i −0.200162 0.979763i \(-0.564147\pi\)
0.476446 + 0.879204i \(0.341925\pi\)
\(338\) −6.37870 6.02228i −0.346956 0.327569i
\(339\) 12.2291 14.5740i 0.664192 0.791554i
\(340\) −8.36900 + 4.33024i −0.453873 + 0.234840i
\(341\) 0.749576i 0.0405918i
\(342\) 32.6590 + 1.50693i 1.76600 + 0.0814853i
\(343\) 2.67567 0.144473
\(344\) 19.7849 3.46687i 1.06673 0.186921i
\(345\) −22.1135 22.8472i −1.19055 1.23005i
\(346\) −5.61456 5.30084i −0.301841 0.284975i
\(347\) 23.3819 8.51031i 1.25521 0.456858i 0.373048 0.927812i \(-0.378313\pi\)
0.882158 + 0.470954i \(0.156090\pi\)
\(348\) 37.9449 + 4.46247i 2.03406 + 0.239213i
\(349\) −4.38247 7.59066i −0.234588 0.406319i 0.724565 0.689207i \(-0.242041\pi\)
−0.959153 + 0.282888i \(0.908708\pi\)
\(350\) 1.23025 0.567841i 0.0657594 0.0303524i
\(351\) 17.0434 3.00521i 0.909708 0.160406i
\(352\) 0.414503 1.37563i 0.0220931 0.0733215i
\(353\) −22.9267 13.2368i −1.22027 0.704522i −0.255293 0.966864i \(-0.582172\pi\)
−0.964975 + 0.262342i \(0.915505\pi\)
\(354\) −47.6634 + 5.55387i −2.53328 + 0.295185i
\(355\) −12.5932 18.6244i −0.668375 0.988482i
\(356\) −11.7538 + 23.3623i −0.622950 + 1.23820i
\(357\) −1.09329 0.397925i −0.0578630 0.0210604i
\(358\) 7.57994 + 15.1063i 0.400612 + 0.798392i
\(359\) −4.23581 0.746887i −0.223557 0.0394192i 0.0607473 0.998153i \(-0.480652\pi\)
−0.284305 + 0.958734i \(0.591763\pi\)
\(360\) −32.5462 + 8.11709i −1.71533 + 0.427808i
\(361\) 14.2469 12.5708i 0.749837 0.661623i
\(362\) −1.09022 + 2.52495i −0.0573009 + 0.132709i
\(363\) 31.0330 + 5.47196i 1.62881 + 0.287203i
\(364\) −0.0573865 0.997504i −0.00300787 0.0522834i
\(365\) −7.20925 3.50605i −0.377350 0.183515i
\(366\) 2.83653 48.4050i 0.148268 2.53017i
\(367\) 5.83396 4.89527i 0.304530 0.255531i −0.477697 0.878525i \(-0.658528\pi\)
0.782227 + 0.622994i \(0.214084\pi\)
\(368\) 17.6517 8.83361i 0.920158 0.460484i
\(369\) 50.4763 + 29.1425i 2.62769 + 1.51710i
\(370\) 19.6336 + 6.87120i 1.02070 + 0.357217i
\(371\) 0.170043 + 0.964364i 0.00882821 + 0.0500673i
\(372\) 3.91080 + 16.5534i 0.202765 + 0.858253i
\(373\) 6.70564 + 11.6145i 0.347205 + 0.601376i 0.985752 0.168207i \(-0.0537976\pi\)
−0.638547 + 0.769583i \(0.720464\pi\)
\(374\) −0.725088 + 0.216796i −0.0374934 + 0.0112103i
\(375\) −32.1936 + 1.23410i −1.66247 + 0.0637289i
\(376\) 0.0162718 15.2599i 0.000839156 0.786968i
\(377\) 11.1096 13.2399i 0.572171 0.681887i
\(378\) −1.50261 0.989046i −0.0772858 0.0508710i
\(379\) 12.9096 0.663121 0.331560 0.943434i \(-0.392425\pi\)
0.331560 + 0.943434i \(0.392425\pi\)
\(380\) −10.3099 + 16.5440i −0.528889 + 0.848691i
\(381\) −10.8192 −0.554287
\(382\) 26.4698 + 17.4230i 1.35431 + 0.891436i
\(383\) −12.4196 + 14.8011i −0.634612 + 0.756301i −0.983509 0.180860i \(-0.942112\pi\)
0.348897 + 0.937161i \(0.386556\pi\)
\(384\) 1.97659 32.5416i 0.100867 1.66063i
\(385\) 0.105563 0.0264471i 0.00537997 0.00134787i
\(386\) −4.57709 + 1.36852i −0.232968 + 0.0696557i
\(387\) −18.8322 32.6183i −0.957292 1.65808i
\(388\) −27.5988 + 6.52033i −1.40112 + 0.331019i
\(389\) 1.76945 + 10.0350i 0.0897145 + 0.508796i 0.996239 + 0.0866438i \(0.0276142\pi\)
−0.906525 + 0.422152i \(0.861275\pi\)
\(390\) −7.84756 + 22.4234i −0.397377 + 1.13545i
\(391\) −9.00447 5.19874i −0.455376 0.262911i
\(392\) 12.6759 15.0738i 0.640228 0.761344i
\(393\) 47.6154 39.9541i 2.40188 2.01542i
\(394\) −1.88881 + 32.2322i −0.0951568 + 1.62384i
\(395\) −7.43925 + 15.2968i −0.374309 + 0.769665i
\(396\) −2.68958 + 0.154732i −0.135157 + 0.00777557i
\(397\) −13.6668 2.40983i −0.685917 0.120946i −0.180181 0.983634i \(-0.557668\pi\)
−0.505737 + 0.862688i \(0.668779\pi\)
\(398\) 10.0367 23.2450i 0.503095 1.16517i
\(399\) −2.36495 + 0.447369i −0.118395 + 0.0223965i
\(400\) 5.27228 19.2926i 0.263614 0.964628i
\(401\) 19.1441 + 3.37562i 0.956011 + 0.168571i 0.629827 0.776736i \(-0.283126\pi\)
0.326184 + 0.945306i \(0.394237\pi\)
\(402\) −3.79154 7.55627i −0.189105 0.376872i
\(403\) 7.23035 + 2.63163i 0.360170 + 0.131091i
\(404\) 23.7347 + 11.9412i 1.18085 + 0.594096i
\(405\) 4.03006 + 5.96019i 0.200255 + 0.296164i
\(406\) −1.78445 + 0.207929i −0.0885607 + 0.0103194i
\(407\) 1.44683 + 0.835330i 0.0717169 + 0.0414058i
\(408\) −14.8815 + 8.57069i −0.736744 + 0.424313i
\(409\) −4.27875 + 0.754459i −0.211571 + 0.0373056i −0.278429 0.960457i \(-0.589814\pi\)
0.0668582 + 0.997762i \(0.478702\pi\)
\(410\) −29.8783 + 17.7485i −1.47558 + 0.876535i
\(411\) −6.86436 11.8894i −0.338594 0.586462i
\(412\) 3.59216 30.5446i 0.176973 1.50482i
\(413\) 2.12029 0.771722i 0.104333 0.0379740i
\(414\) −26.9127 25.4089i −1.32269 1.24878i
\(415\) 5.13911 4.97408i 0.252269 0.244168i
\(416\) −11.8140 8.82788i −0.579230 0.432822i
\(417\) −12.9796 −0.635616
\(418\) −1.06058 + 1.15169i −0.0518748 + 0.0563308i
\(419\) 28.8611i 1.40996i 0.709229 + 0.704978i \(0.249043\pi\)
−0.709229 + 0.704978i \(0.750957\pi\)
\(420\) 2.19322 1.13481i 0.107018 0.0553728i
\(421\) −2.74345 + 3.26952i −0.133708 + 0.159347i −0.828744 0.559628i \(-0.810944\pi\)
0.695036 + 0.718975i \(0.255388\pi\)
\(422\) −9.91048 9.35671i −0.482434 0.455478i
\(423\) −26.8884 + 9.78658i −1.30736 + 0.475840i
\(424\) 12.5099 + 7.24036i 0.607532 + 0.351623i
\(425\) −10.0121 + 3.27829i −0.485657 + 0.159021i
\(426\) −24.4562 32.8747i −1.18491 1.59279i
\(427\) 0.395914 + 2.24534i 0.0191596 + 0.108660i
\(428\) 16.3084 + 12.1592i 0.788295 + 0.587735i
\(429\) −0.954025 + 1.65242i −0.0460608 + 0.0797796i
\(430\) 22.4555 0.278827i 1.08290 0.0134463i
\(431\) −8.33990 + 6.99800i −0.401719 + 0.337082i −0.821158 0.570702i \(-0.806671\pi\)
0.419439 + 0.907784i \(0.362227\pi\)
\(432\) −25.4479 + 7.57920i −1.22436 + 0.364654i
\(433\) −6.90980 2.51496i −0.332064 0.120861i 0.170607 0.985339i \(-0.445427\pi\)
−0.502671 + 0.864478i \(0.667649\pi\)
\(434\) −0.358692 0.714847i −0.0172178 0.0343138i
\(435\) 41.0747 + 11.7275i 1.96938 + 0.562290i
\(436\) 11.7826 11.1005i 0.564287 0.531619i
\(437\) −21.5080 + 0.267242i −1.02887 + 0.0127839i
\(438\) −13.4132 5.79154i −0.640907 0.276731i
\(439\) −4.74163 + 26.8911i −0.226306 + 1.28344i 0.633868 + 0.773442i \(0.281466\pi\)
−0.860173 + 0.510002i \(0.829645\pi\)
\(440\) 0.704058 1.44379i 0.0335647 0.0688300i
\(441\) −34.7035 12.6310i −1.65255 0.601478i
\(442\) −0.454460 + 7.75528i −0.0216164 + 0.368881i
\(443\) 5.94567 4.98901i 0.282487 0.237035i −0.490523 0.871428i \(-0.663194\pi\)
0.773011 + 0.634393i \(0.218750\pi\)
\(444\) 36.3096 + 10.8985i 1.72318 + 0.517220i
\(445\) −17.1596 + 23.6746i −0.813441 + 1.12228i
\(446\) 4.84498 + 1.15010i 0.229416 + 0.0544588i
\(447\) −0.0698349 + 0.0123138i −0.00330308 + 0.000582422i
\(448\) 0.262978 + 1.51025i 0.0124245 + 0.0713526i
\(449\) 20.0039 11.5493i 0.944042 0.545043i 0.0528169 0.998604i \(-0.483180\pi\)
0.891225 + 0.453561i \(0.149847\pi\)
\(450\) −37.3721 + 3.12278i −1.76174 + 0.147209i
\(451\) −2.62282 + 0.954628i −0.123504 + 0.0449517i
\(452\) 5.22142 + 12.1283i 0.245595 + 0.570468i
\(453\) −2.24165 + 2.67149i −0.105322 + 0.125518i
\(454\) 18.6687 + 12.2881i 0.876167 + 0.576710i
\(455\) 0.115505 1.11110i 0.00541496 0.0520892i
\(456\) −17.4128 + 30.9669i −0.815429 + 1.45016i
\(457\) 31.7508i 1.48524i 0.669713 + 0.742620i \(0.266417\pi\)
−0.669713 + 0.742620i \(0.733583\pi\)
\(458\) 12.8081 19.4587i 0.598484 0.909247i
\(459\) 10.7145 + 8.99051i 0.500109 + 0.419641i
\(460\) 21.0635 6.58383i 0.982091 0.306973i
\(461\) −3.26610 + 1.18876i −0.152117 + 0.0553662i −0.416957 0.908926i \(-0.636903\pi\)
0.264839 + 0.964293i \(0.414681\pi\)
\(462\) 0.190020 0.0568148i 0.00884055 0.00264326i
\(463\) 18.3179 + 31.7276i 0.851307 + 1.47451i 0.880029 + 0.474919i \(0.157523\pi\)
−0.0287227 + 0.999587i \(0.509144\pi\)
\(464\) −14.6031 + 22.1343i −0.677931 + 1.02756i
\(465\) 1.34809 + 18.9689i 0.0625163 + 0.879661i
\(466\) −14.1248 3.35295i −0.654320 0.155322i
\(467\) −12.5471 + 21.7322i −0.580610 + 1.00565i 0.414797 + 0.909914i \(0.363853\pi\)
−0.995407 + 0.0957321i \(0.969481\pi\)
\(468\) −7.95013 + 26.4867i −0.367495 + 1.22435i
\(469\) 0.255526 + 0.304523i 0.0117991 + 0.0140616i
\(470\) 2.75378 16.8374i 0.127023 0.776649i
\(471\) 54.0964 + 19.6895i 2.49263 + 0.907243i
\(472\) 11.4243 31.2843i 0.525848 1.43998i
\(473\) 1.77626 + 0.313203i 0.0816726 + 0.0144011i
\(474\) −12.2887 + 28.4605i −0.564437 + 1.30723i
\(475\) −14.3438 + 16.4090i −0.658137 + 0.752898i
\(476\) 0.587751 0.553726i 0.0269395 0.0253800i
\(477\) 4.70639 26.6913i 0.215491 1.22211i
\(478\) −27.6643 + 13.8812i −1.26533 + 0.634912i
\(479\) −0.294696 + 0.809670i −0.0134650 + 0.0369948i −0.946243 0.323456i \(-0.895155\pi\)
0.932778 + 0.360451i \(0.117377\pi\)
\(480\) 8.01544 35.5575i 0.365853 1.62297i
\(481\) 13.1371 11.0233i 0.599001 0.502621i
\(482\) −31.2792 + 3.64474i −1.42473 + 0.166013i
\(483\) 2.35976 + 1.36241i 0.107373 + 0.0619917i
\(484\) −13.0729 + 17.5339i −0.594223 + 0.796997i
\(485\) −31.6261 + 2.24762i −1.43607 + 0.102059i
\(486\) −8.98346 12.0758i −0.407498 0.547771i
\(487\) −0.0141149 + 0.00814923i −0.000639606 + 0.000369277i −0.500320 0.865841i \(-0.666784\pi\)
0.499680 + 0.866210i \(0.333451\pi\)
\(488\) 29.1268 + 16.8578i 1.31851 + 0.763118i
\(489\) 11.3723 + 31.2450i 0.514272 + 1.41295i
\(490\) 16.6911 14.3624i 0.754028 0.648828i
\(491\) 21.8209 26.0051i 0.984762 1.17359i −5.49353e−5 1.00000i \(-0.500017\pi\)
0.984817 0.173594i \(-0.0555381\pi\)
\(492\) −52.9408 + 34.7658i −2.38676 + 1.56736i
\(493\) 13.9683 0.629099
\(494\) 7.38555 + 14.2737i 0.332292 + 0.642203i
\(495\) −2.99587 0.311438i −0.134654 0.0139981i
\(496\) −11.4832 2.73882i −0.515611 0.122976i
\(497\) 1.47590 + 1.23843i 0.0662031 + 0.0555510i
\(498\) 8.94820 9.47779i 0.400979 0.424710i
\(499\) −2.40577 6.60979i −0.107697 0.295895i 0.874125 0.485702i \(-0.161436\pi\)
−0.981821 + 0.189807i \(0.939214\pi\)
\(500\) 9.27712 20.3454i 0.414886 0.909874i
\(501\) −29.9488 51.8729i −1.33802 2.31751i
\(502\) 0.589312 + 0.792171i 0.0263023 + 0.0353563i
\(503\) −1.76407 10.0045i −0.0786560 0.446080i −0.998546 0.0539040i \(-0.982833\pi\)
0.919890 0.392176i \(-0.128278\pi\)
\(504\) 2.49093 1.43460i 0.110955 0.0639021i
\(505\) 24.0520 + 17.4331i 1.07030 + 0.775762i
\(506\) 1.76053 0.205142i 0.0782651 0.00911968i
\(507\) −11.4897 13.6928i −0.510273 0.608120i
\(508\) 3.37489 6.70806i 0.149736 0.297622i
\(509\) 0.0483110 0.132733i 0.00214135 0.00588330i −0.938617 0.344960i \(-0.887892\pi\)
0.940759 + 0.339077i \(0.110115\pi\)
\(510\) −17.9593 + 6.79033i −0.795251 + 0.300681i
\(511\) 0.676552 + 0.119294i 0.0299289 + 0.00527728i
\(512\) 19.5596 + 11.3763i 0.864422 + 0.502768i
\(513\) 28.5557 + 4.67009i 1.26076 + 0.206190i
\(514\) −32.8682 14.1918i −1.44975 0.625974i
\(515\) 9.44029 33.0639i 0.415989 1.45697i
\(516\) 40.8605 2.35071i 1.79878 0.103484i
\(517\) 0.468659 1.28763i 0.0206116 0.0566299i
\(518\) −1.77953 0.104280i −0.0781879 0.00458181i
\(519\) −10.1132 12.0525i −0.443922 0.529046i
\(520\) −11.4549 11.8602i −0.502329 0.520104i
\(521\) 10.5164 + 6.07163i 0.460731 + 0.266003i 0.712351 0.701823i \(-0.247630\pi\)
−0.251621 + 0.967826i \(0.580964\pi\)
\(522\) 48.3790 + 11.4842i 2.11749 + 0.502650i
\(523\) 12.8118 2.25907i 0.560223 0.0987824i 0.113636 0.993522i \(-0.463750\pi\)
0.446587 + 0.894740i \(0.352639\pi\)
\(524\) 9.91914 + 41.9851i 0.433320 + 1.83413i
\(525\) 2.62382 0.859126i 0.114513 0.0374953i
\(526\) 4.89073 1.46230i 0.213246 0.0637591i
\(527\) 2.12686 + 5.84349i 0.0926474 + 0.254547i
\(528\) 1.16333 2.68640i 0.0506276 0.116911i
\(529\) 1.03487 + 0.868356i 0.0449942 + 0.0377546i
\(530\) 12.5074 + 10.2330i 0.543286 + 0.444494i
\(531\) −62.4507 −2.71013
\(532\) 0.460332 1.60584i 0.0199579 0.0696222i
\(533\) 28.6511i 1.24101i
\(534\) −29.2982 + 44.5113i −1.26786 + 1.92619i
\(535\) 15.8174 + 16.3422i 0.683847 + 0.706536i
\(536\) 5.86768 + 0.00625680i 0.253445 + 0.000270253i
\(537\) 11.7786 + 32.3613i 0.508282 + 1.39649i
\(538\) −0.609326 2.03793i −0.0262699 0.0878613i
\(539\) 1.53159 0.884266i 0.0659704 0.0380880i
\(540\) −29.4423 + 3.80178i −1.26699 + 0.163603i
\(541\) 6.57080 + 37.2649i 0.282501 + 1.60214i 0.714078 + 0.700066i \(0.246846\pi\)
−0.431577 + 0.902076i \(0.642043\pi\)
\(542\) −23.9075 5.67515i −1.02691 0.243769i
\(543\) −2.80198 + 4.85316i −0.120244 + 0.208269i
\(544\) −0.671889 11.9002i −0.0288070 0.510216i
\(545\) 14.9931 10.1378i 0.642232 0.434254i
\(546\) 0.119098 2.03239i 0.00509692 0.0869782i
\(547\) 9.91750 27.2481i 0.424042 1.16504i −0.525333 0.850897i \(-0.676059\pi\)
0.949374 0.314148i \(-0.101719\pi\)
\(548\) 9.51281 0.547273i 0.406367 0.0233783i
\(549\) 10.9579 62.1456i 0.467674 2.65231i
\(550\) 1.03582 1.46709i 0.0441676 0.0625570i
\(551\) 24.8439 14.7582i 1.05838 0.628720i
\(552\) 37.8086 13.7156i 1.60924 0.583774i
\(553\) 0.253122 1.43553i 0.0107639 0.0610449i
\(554\) 18.6395 9.35280i 0.791916 0.397363i
\(555\) 38.1161 + 18.5369i 1.61794 + 0.786847i
\(556\) 4.04879 8.04753i 0.171707 0.341291i
\(557\) 0.188721 + 0.224908i 0.00799635 + 0.00952968i 0.770028 0.638010i \(-0.220242\pi\)
−0.762031 + 0.647540i \(0.775798\pi\)
\(558\) 2.56205 + 21.9875i 0.108460 + 0.930807i
\(559\) 9.25729 16.0341i 0.391541 0.678170i
\(560\) 0.0194524 + 1.71381i 0.000822015 + 0.0724216i
\(561\) −1.51864 + 0.267777i −0.0641170 + 0.0113056i
\(562\) 0.602115 + 0.809381i 0.0253987 + 0.0341417i
\(563\) −8.23177 + 4.75261i −0.346928 + 0.200299i −0.663331 0.748326i \(-0.730858\pi\)
0.316404 + 0.948625i \(0.397525\pi\)
\(564\) 3.63169 30.8807i 0.152922 1.30031i
\(565\) 3.58779 + 14.3205i 0.150939 + 0.602468i
\(566\) −0.567274 0.535576i −0.0238443 0.0225119i
\(567\) −0.472316 0.396320i −0.0198354 0.0166439i
\(568\) 28.0114 4.90838i 1.17533 0.205951i
\(569\) 35.3359i 1.48136i −0.671860 0.740678i \(-0.734504\pi\)
0.671860 0.740678i \(-0.265496\pi\)
\(570\) −24.7680 + 31.0522i −1.03742 + 1.30063i
\(571\) 22.5979i 0.945693i −0.881145 0.472846i \(-0.843227\pi\)
0.881145 0.472846i \(-0.156773\pi\)
\(572\) −0.726927 1.10695i −0.0303944 0.0462840i
\(573\) 49.4636 + 41.5049i 2.06637 + 1.73389i
\(574\) 2.04449 2.16549i 0.0853352 0.0903857i
\(575\) 24.4253 3.48937i 1.01861 0.145517i
\(576\) 7.45682 41.7687i 0.310701 1.74036i
\(577\) −17.8228 + 10.2900i −0.741973 + 0.428378i −0.822786 0.568351i \(-0.807582\pi\)
0.0808134 + 0.996729i \(0.474248\pi\)
\(578\) 14.2520 10.6023i 0.592805 0.441000i
\(579\) −9.58634 + 1.69033i −0.398395 + 0.0702477i
\(580\) −20.0837 + 21.8086i −0.833932 + 0.905552i
\(581\) −0.306451 + 0.530789i −0.0127137 + 0.0220208i
\(582\) −57.3952 + 6.68786i −2.37911 + 0.277221i
\(583\) 0.834278 + 0.994254i 0.0345523 + 0.0411778i
\(584\) 7.77485 6.50976i 0.321726 0.269376i
\(585\) −13.5221 + 27.8045i −0.559070 + 1.14958i
\(586\) −1.61010 3.20882i −0.0665127 0.132555i
\(587\) 1.22130 6.92636i 0.0504086 0.285881i −0.949175 0.314750i \(-0.898079\pi\)
0.999583 + 0.0288686i \(0.00919043\pi\)
\(588\) 29.2097 27.5187i 1.20459 1.13485i
\(589\) 9.95677 + 8.14608i 0.410262 + 0.335653i
\(590\) 18.2162 32.4761i 0.749950 1.33702i
\(591\) −11.4242 + 64.7896i −0.469927 + 2.66509i
\(592\) −18.0834 + 19.1127i −0.743222 + 0.785529i
\(593\) −9.24887 + 25.4111i −0.379806 + 1.04351i 0.591631 + 0.806209i \(0.298484\pi\)
−0.971437 + 0.237298i \(0.923738\pi\)
\(594\) −2.38022 0.139481i −0.0976615 0.00572297i
\(595\) 0.747896 0.505699i 0.0306607 0.0207317i
\(596\) 0.0141492 0.0471395i 0.000579573 0.00193091i
\(597\) 25.7953 44.6787i 1.05573 1.82858i
\(598\) 4.20213 17.7021i 0.171838 0.723895i
\(599\) −7.08750 40.1952i −0.289587 1.64233i −0.688423 0.725310i \(-0.741697\pi\)
0.398835 0.917023i \(-0.369414\pi\)
\(600\) 15.2204 37.8030i 0.621370 1.54330i
\(601\) 0.850544 0.491062i 0.0346944 0.0200308i −0.482552 0.875867i \(-0.660290\pi\)
0.517247 + 0.855836i \(0.326957\pi\)
\(602\) −1.84384 + 0.551296i −0.0751494 + 0.0224692i
\(603\) −3.76311 10.3391i −0.153246 0.421039i
\(604\) −0.957111 2.22318i −0.0389443 0.0904598i
\(605\) −17.5704 + 17.0061i −0.714336 + 0.691397i
\(606\) 45.2208 + 29.7652i 1.83697 + 1.20913i
\(607\) 37.2092i 1.51027i 0.655567 + 0.755137i \(0.272430\pi\)
−0.655567 + 0.755137i \(0.727570\pi\)
\(608\) −13.7682 20.4557i −0.558373 0.829590i
\(609\) −3.66059 −0.148335
\(610\) 29.1211 + 23.8257i 1.17908 + 0.964673i
\(611\) −10.7750 9.04129i −0.435910 0.365772i
\(612\) −20.5282 + 8.83771i −0.829804 + 0.357243i
\(613\) −4.30413 11.8255i −0.173842 0.477628i 0.821919 0.569605i \(-0.192904\pi\)
−0.995761 + 0.0919768i \(0.970681\pi\)
\(614\) −6.55542 21.9250i −0.264555 0.884820i
\(615\) −64.6566 + 28.8750i −2.60721 + 1.16435i
\(616\) −0.0240479 + 0.135537i −0.000968918 + 0.00546095i
\(617\) −13.0886 + 2.30787i −0.526927 + 0.0929115i −0.430782 0.902456i \(-0.641762\pi\)
−0.0961449 + 0.995367i \(0.530651\pi\)
\(618\) 14.4736 60.9722i 0.582212 2.45266i
\(619\) −3.50644 2.02445i −0.140936 0.0813694i 0.427874 0.903838i \(-0.359263\pi\)
−0.568810 + 0.822469i \(0.692596\pi\)
\(620\) −12.1814 5.08120i −0.489218 0.204066i
\(621\) −21.0558 25.0934i −0.844941 1.00696i
\(622\) −2.13234 + 36.3881i −0.0854992 + 1.45903i
\(623\) 0.856996 2.35458i 0.0343348 0.0943342i
\(624\) −21.8286 20.6529i −0.873842 0.826779i
\(625\) 13.8855 20.7893i 0.555420 0.831570i
\(626\) 14.0837 32.6177i 0.562897 1.30367i
\(627\) −2.41812 + 2.08079i −0.0965706 + 0.0830986i
\(628\) −29.0822 + 27.3986i −1.16050 + 1.09332i
\(629\) 13.6493 + 2.40674i 0.544233 + 0.0959630i
\(630\) 3.00610 1.13659i 0.119766 0.0452830i
\(631\) −0.233424 + 0.641327i −0.00929246 + 0.0255308i −0.944252 0.329223i \(-0.893213\pi\)
0.934960 + 0.354754i \(0.115435\pi\)
\(632\) −13.8126 16.4969i −0.549435 0.656211i
\(633\) −17.8513 21.2743i −0.709524 0.845578i
\(634\) −1.89540 16.2663i −0.0752758 0.646017i
\(635\) 4.92705 6.79773i 0.195524 0.269760i
\(636\) 23.6113 + 17.6040i 0.936248 + 0.698046i
\(637\) −3.15240 17.8781i −0.124903 0.708358i
\(638\) −1.91048 + 1.42124i −0.0756366 + 0.0562676i
\(639\) −26.6625 46.1808i −1.05475 1.82688i
\(640\) 19.5458 + 16.0612i 0.772614 + 0.634876i
\(641\) 5.28242 + 14.5133i 0.208643 + 0.573242i 0.999235 0.0391011i \(-0.0124494\pi\)
−0.790592 + 0.612343i \(0.790227\pi\)
\(642\) 30.1391 + 28.4550i 1.18950 + 1.12303i
\(643\) −21.0675 17.6777i −0.830821 0.697141i 0.124659 0.992200i \(-0.460216\pi\)
−0.955479 + 0.295058i \(0.904661\pi\)
\(644\) −1.58080 + 1.03810i −0.0622921 + 0.0409067i
\(645\) 45.5137 + 4.73140i 1.79210 + 0.186299i
\(646\) −5.00020 + 11.9875i −0.196730 + 0.471644i
\(647\) 15.3177 0.602202 0.301101 0.953592i \(-0.402646\pi\)
0.301101 + 0.953592i \(0.402646\pi\)
\(648\) −8.96420 + 1.57078i −0.352147 + 0.0617059i
\(649\) 1.92234 2.29096i 0.0754585 0.0899279i
\(650\) −10.5149 15.1422i −0.412427 0.593924i
\(651\) −0.557375 1.53138i −0.0218453 0.0600193i
\(652\) −22.9197 2.69544i −0.897604 0.105562i
\(653\) 21.1784 12.2274i 0.828777 0.478494i −0.0246570 0.999696i \(-0.507849\pi\)
0.853434 + 0.521202i \(0.174516\pi\)
\(654\) 26.4648 19.6877i 1.03486 0.769851i
\(655\) 3.41923 + 48.1117i 0.133600 + 1.87988i
\(656\) −5.04120 43.6686i −0.196826 1.70497i
\(657\) −16.4668 9.50710i −0.642431 0.370907i
\(658\) 0.169219 + 1.45224i 0.00659684 + 0.0566141i
\(659\) −21.7171 + 18.2228i −0.845977 + 0.709859i −0.958900 0.283745i \(-0.908423\pi\)
0.112923 + 0.993604i \(0.463979\pi\)
\(660\) 1.76544 2.75606i 0.0687197 0.107279i
\(661\) −9.40873 + 25.8503i −0.365957 + 1.00546i 0.610927 + 0.791687i \(0.290797\pi\)
−0.976884 + 0.213772i \(0.931425\pi\)
\(662\) 8.31728 + 16.5758i 0.323260 + 0.644235i
\(663\) −2.74872 + 15.5888i −0.106752 + 0.605418i
\(664\) 3.08509 + 8.50443i 0.119725 + 0.330036i
\(665\) 0.795907 1.68962i 0.0308639 0.0655208i
\(666\) 45.2956 + 19.5577i 1.75517 + 0.757845i
\(667\) −32.2167 5.68068i −1.24744 0.219957i
\(668\) 41.5039 2.38772i 1.60583 0.0923837i
\(669\) 9.53455 + 3.47029i 0.368627 + 0.134169i
\(670\) 6.47425 + 1.05888i 0.250122 + 0.0409080i
\(671\) 1.94246 + 2.31493i 0.0749878 + 0.0893670i
\(672\) 0.176079 + 3.11862i 0.00679238 + 0.120304i
\(673\) −10.0526 + 17.4115i −0.387497 + 0.671165i −0.992112 0.125353i \(-0.959994\pi\)
0.604615 + 0.796518i \(0.293327\pi\)
\(674\) −1.76295 + 7.42669i −0.0679062 + 0.286066i
\(675\) −33.1731 1.08296i −1.27683 0.0416833i
\(676\) 12.0737 2.85246i 0.464374 0.109710i
\(677\) −13.4615 23.3160i −0.517369 0.896109i −0.999797 0.0201729i \(-0.993578\pi\)
0.482428 0.875936i \(-0.339755\pi\)
\(678\) 7.70743 + 25.7779i 0.296002 + 0.989996i
\(679\) 2.55321 0.929291i 0.0979830 0.0356629i
\(680\) 1.39202 13.2531i 0.0533816 0.508233i
\(681\) 34.8858 + 29.2727i 1.33683 + 1.12173i
\(682\) −0.885460 0.582828i −0.0339060 0.0223176i
\(683\) 39.9412i 1.52831i 0.645034 + 0.764154i \(0.276843\pi\)
−0.645034 + 0.764154i \(0.723157\pi\)
\(684\) −27.1739 + 37.4078i −1.03902 + 1.43032i
\(685\) 10.5961 + 1.10153i 0.404857 + 0.0420872i
\(686\) −2.08045 + 3.16072i −0.0794319 + 0.120677i
\(687\) 30.5114 36.3621i 1.16408 1.38730i
\(688\) −11.2883 + 26.0672i −0.430362 + 0.993803i
\(689\) 12.5195 4.55673i 0.476955 0.173597i
\(690\) 44.1833 8.35762i 1.68203 0.318169i
\(691\) 32.0313 18.4933i 1.21853 0.703517i 0.253924 0.967224i \(-0.418279\pi\)
0.964603 + 0.263707i \(0.0849453\pi\)
\(692\) 10.6273 2.51075i 0.403991 0.0954443i
\(693\) 0.254196 0.0448216i 0.00965611 0.00170263i
\(694\) −8.12735 + 34.2377i −0.308510 + 1.29965i
\(695\) 5.91089 8.15511i 0.224213 0.309341i
\(696\) −34.7752 + 41.3539i −1.31815 + 1.56751i
\(697\) −17.7381 + 14.8840i −0.671879 + 0.563774i
\(698\) 12.3743 + 0.725132i 0.468373 + 0.0274467i
\(699\) −27.7966 10.1171i −1.05136 0.382665i
\(700\) −0.285789 + 1.89479i −0.0108018 + 0.0716162i
\(701\) −3.84939 + 21.8310i −0.145389 + 0.824544i 0.821664 + 0.569972i \(0.193046\pi\)
−0.967054 + 0.254572i \(0.918065\pi\)
\(702\) −9.70196 + 22.4697i −0.366177 + 0.848064i
\(703\) 26.8194 10.1406i 1.01151 0.382459i
\(704\) 1.30272 + 1.55926i 0.0490980 + 0.0587668i
\(705\) 9.54418 33.4278i 0.359455 1.25896i
\(706\) 33.4629 16.7908i 1.25939 0.631930i
\(707\) −2.39211 0.870658i −0.0899647 0.0327445i
\(708\) 30.4996 60.6222i 1.14625 2.27832i
\(709\) −13.7969 + 11.5770i −0.518154 + 0.434783i −0.863988 0.503513i \(-0.832041\pi\)
0.345833 + 0.938296i \(0.387596\pi\)
\(710\) 31.7924 0.394763i 1.19315 0.0148152i
\(711\) −20.1724 + 34.9397i −0.756526 + 1.31034i
\(712\) −18.4584 32.0498i −0.691758 1.20112i
\(713\) −2.52898 14.3425i −0.0947109 0.537132i
\(714\) 1.32014 0.982079i 0.0494050 0.0367534i
\(715\) −0.603755 1.35192i −0.0225792 0.0505589i
\(716\) −23.7385 2.79174i −0.887150 0.104332i
\(717\) −59.2635 + 21.5702i −2.21324 + 0.805553i
\(718\) 4.17581 4.42295i 0.155840 0.165063i
\(719\) 11.8451 14.1164i 0.441746 0.526453i −0.498526 0.866874i \(-0.666125\pi\)
0.940273 + 0.340422i \(0.110570\pi\)
\(720\) 15.7175 44.7576i 0.585756 1.66802i
\(721\) 2.94667i 0.109740i
\(722\) 3.77212 + 26.6040i 0.140384 + 0.990097i
\(723\) −64.1656 −2.38635
\(724\) −2.13499 3.25112i −0.0793462 0.120827i
\(725\) −26.0736 + 20.4665i −0.968351 + 0.760108i
\(726\) −30.5934 + 32.4041i −1.13543 + 1.20263i
\(727\) −23.1678 + 8.43240i −0.859247 + 0.312740i −0.733805 0.679360i \(-0.762257\pi\)
−0.125443 + 0.992101i \(0.540035\pi\)
\(728\) 1.22295 + 0.707812i 0.0453257 + 0.0262333i
\(729\) −20.1602 34.9186i −0.746676 1.29328i
\(730\) 9.74714 5.79005i 0.360758 0.214300i
\(731\) 14.7360 2.59835i 0.545029 0.0961033i
\(732\) 54.9744 + 40.9877i 2.03191 + 1.51495i
\(733\) −27.5618 15.9128i −1.01802 0.587754i −0.104490 0.994526i \(-0.533321\pi\)
−0.913530 + 0.406772i \(0.866654\pi\)
\(734\) 1.24654 + 10.6978i 0.0460107 + 0.394864i
\(735\) 37.1684 25.1319i 1.37098 0.927004i
\(736\) −3.28997 + 27.7201i −0.121270 + 1.02178i
\(737\) 0.495115 + 0.180207i 0.0182378 + 0.00663802i
\(738\) −73.6730 + 36.9672i −2.71194 + 1.36078i
\(739\) −18.4313 3.24994i −0.678008 0.119551i −0.175968 0.984396i \(-0.556306\pi\)
−0.502039 + 0.864845i \(0.667417\pi\)
\(740\) −23.3828 + 17.8501i −0.859568 + 0.656184i
\(741\) 11.5815 + 30.6303i 0.425457 + 1.12523i
\(742\) −1.27140 0.548965i −0.0466746 0.0201531i
\(743\) −22.5077 3.96871i −0.825727 0.145598i −0.255212 0.966885i \(-0.582145\pi\)
−0.570515 + 0.821287i \(0.693256\pi\)
\(744\) −22.5950 8.25121i −0.828374 0.302504i
\(745\) 0.0240658 0.0494849i 0.000881704 0.00181299i
\(746\) −18.9339 1.10953i −0.693220 0.0406227i
\(747\) 12.9949 10.9040i 0.475459 0.398958i
\(748\) 0.307690 1.02510i 0.0112502 0.0374814i
\(749\) −1.68789 0.974506i −0.0616743 0.0356077i
\(750\) 23.5741 38.9893i 0.860805 1.42369i
\(751\) 3.41796 + 19.3842i 0.124723 + 0.707341i 0.981472 + 0.191606i \(0.0613697\pi\)
−0.856749 + 0.515734i \(0.827519\pi\)
\(752\) 18.0136 + 11.8844i 0.656887 + 0.433380i
\(753\) 1.00589 + 1.74226i 0.0366568 + 0.0634915i
\(754\) 7.00184 + 23.4181i 0.254992 + 0.852836i
\(755\) −0.657659 2.62502i −0.0239347 0.0955341i
\(756\) 2.33668 1.00598i 0.0849844 0.0365871i
\(757\) 2.12976 2.53815i 0.0774075 0.0922506i −0.725951 0.687747i \(-0.758600\pi\)
0.803358 + 0.595496i \(0.203044\pi\)
\(758\) −10.0378 + 15.2499i −0.364588 + 0.553900i
\(759\) 3.61153 0.131090
\(760\) −11.5267 25.0426i −0.418119 0.908392i
\(761\) −44.5713 −1.61571 −0.807854 0.589383i \(-0.799371\pi\)
−0.807854 + 0.589383i \(0.799371\pi\)
\(762\) 8.41243 12.7806i 0.304750 0.462992i
\(763\) −0.996958 + 1.18813i −0.0360923 + 0.0430131i
\(764\) −41.1629 + 17.7212i −1.48922 + 0.641131i
\(765\) −24.2387 + 6.07264i −0.876352 + 0.219557i
\(766\) −7.82750 26.1796i −0.282819 0.945906i
\(767\) −15.3494 26.5859i −0.554234 0.959962i
\(768\) 36.9040 + 27.6374i 1.33166 + 0.997280i