Properties

Label 50.2.d.b.41.1
Level $50$
Weight $2$
Character 50.41
Analytic conductor $0.399$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 50 = 2 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 50.d (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.399252010106\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.58140625.2
Defining polynomial: \(x^{8} - 3 x^{7} + 4 x^{6} - 7 x^{5} + 11 x^{4} + 5 x^{3} - 10 x^{2} - 25 x + 25\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 41.1
Root \(1.66637 - 0.917186i\) of defining polynomial
Character \(\chi\) \(=\) 50.41
Dual form 50.2.d.b.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.720859 - 2.21858i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-2.02373 - 0.951057i) q^{5} +(-0.720859 + 2.21858i) q^{6} +3.77447 q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.97539 + 1.43521i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.720859 - 2.21858i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-2.02373 - 0.951057i) q^{5} +(-0.720859 + 2.21858i) q^{6} +3.77447 q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.97539 + 1.43521i) q^{9} +(1.07822 + 1.95894i) q^{10} +(3.05361 + 2.21858i) q^{11} +(1.88723 - 1.37116i) q^{12} +(-2.56969 + 1.86699i) q^{13} +(-3.05361 - 2.21858i) q^{14} +(-0.651166 + 5.17538i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.430307 + 1.32435i) q^{17} +2.44172 q^{18} +(1.20945 - 3.72230i) q^{19} +(0.279141 - 2.21858i) q^{20} +(-2.72086 - 8.37394i) q^{21} +(-1.16637 - 3.58973i) q^{22} +(-0.720859 - 0.523735i) q^{23} -2.33275 q^{24} +(3.19098 + 3.84937i) q^{25} +3.17632 q^{26} +(-1.05361 - 0.765491i) q^{27} +(1.16637 + 3.58973i) q^{28} +(0.0152089 + 0.0468081i) q^{29} +(3.56882 - 3.80423i) q^{30} +(-1.72466 + 5.30795i) q^{31} +1.00000 q^{32} +(2.72086 - 8.37394i) q^{33} +(1.12656 - 0.818492i) q^{34} +(-7.63851 - 3.58973i) q^{35} +(-1.97539 - 1.43521i) q^{36} +(-5.70152 + 4.14240i) q^{37} +(-3.16637 + 2.30051i) q^{38} +(5.99445 + 4.35522i) q^{39} +(-1.52988 + 1.63079i) q^{40} +(1.20477 - 0.875319i) q^{41} +(-2.72086 + 8.37394i) q^{42} +2.69767 q^{43} +(-1.16637 + 3.58973i) q^{44} +(5.36263 - 1.02576i) q^{45} +(0.275344 + 0.847421i) q^{46} +(1.16637 + 3.58973i) q^{47} +(1.88723 + 1.37116i) q^{48} +7.24660 q^{49} +(-0.318958 - 4.98982i) q^{50} +3.24836 q^{51} +(-2.56969 - 1.86699i) q^{52} +(3.58963 + 11.0477i) q^{53} +(0.402443 + 1.23859i) q^{54} +(-4.06969 - 7.39396i) q^{55} +(1.16637 - 3.58973i) q^{56} -9.13004 q^{57} +(0.0152089 - 0.0468081i) q^{58} +(0.558282 - 0.405615i) q^{59} +(-5.12330 + 0.979986i) q^{60} +(-8.38168 - 6.08965i) q^{61} +(4.51521 - 3.28049i) q^{62} +(-7.45605 + 5.41714i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(6.97599 - 1.33437i) q^{65} +(-7.12330 + 5.17538i) q^{66} +(4.73519 - 14.5734i) q^{67} -1.39250 q^{68} +(-0.642308 + 1.97682i) q^{69} +(4.06969 + 7.39396i) q^{70} +(-2.06969 - 6.36986i) q^{71} +(0.754532 + 2.32221i) q^{72} +(-4.18158 - 3.03810i) q^{73} +7.04746 q^{74} +(6.23987 - 9.85429i) q^{75} +3.91385 q^{76} +(11.5257 + 8.37394i) q^{77} +(-2.28968 - 7.04690i) q^{78} +(-0.558282 - 1.71821i) q^{79} +(2.19625 - 0.420099i) q^{80} +(-3.20239 + 9.85596i) q^{81} -1.48918 q^{82} +(-3.08023 + 9.47997i) q^{83} +(7.12330 - 5.17538i) q^{84} +(2.13035 - 2.27088i) q^{85} +(-2.18246 - 1.58565i) q^{86} +(0.0928839 - 0.0674841i) q^{87} +(3.05361 - 2.21858i) q^{88} +(-11.7390 - 8.52891i) q^{89} +(-4.94138 - 2.32221i) q^{90} +(-9.69922 + 7.04690i) q^{91} +(0.275344 - 0.847421i) q^{92} +13.0193 q^{93} +(1.16637 - 3.58973i) q^{94} +(-5.98771 + 6.38268i) q^{95} +(-0.720859 - 2.21858i) q^{96} +(-0.0278640 - 0.0857567i) q^{97} +(-5.86263 - 4.25945i) q^{98} -9.21619 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{2} - 3q^{3} - 2q^{4} - 3q^{6} + 4q^{7} - 2q^{8} - q^{9} + O(q^{10}) \) \( 8q - 2q^{2} - 3q^{3} - 2q^{4} - 3q^{6} + 4q^{7} - 2q^{8} - q^{9} + q^{11} + 2q^{12} - 13q^{13} - q^{14} - 10q^{15} - 2q^{16} - 11q^{17} + 14q^{18} + 20q^{19} + 5q^{20} - 19q^{21} + q^{22} - 3q^{23} + 2q^{24} + 30q^{25} + 22q^{26} + 15q^{27} - q^{28} - 15q^{29} - 10q^{30} - 9q^{31} + 8q^{32} + 19q^{33} - q^{34} - 15q^{35} - q^{36} - 6q^{37} - 15q^{38} - 12q^{39} - 5q^{40} - 9q^{41} - 19q^{42} + 12q^{43} + q^{44} + 15q^{45} + 7q^{46} - q^{47} + 2q^{48} - 4q^{49} - 5q^{50} + 26q^{51} - 13q^{52} + 7q^{53} - 25q^{54} - 25q^{55} - q^{56} - 15q^{58} + 10q^{59} - 10q^{60} + 6q^{61} + 21q^{62} - 8q^{63} - 2q^{64} - 10q^{65} - 26q^{66} - 11q^{67} + 24q^{68} + 43q^{69} + 25q^{70} - 9q^{71} - 6q^{72} - 8q^{73} + 24q^{74} + 30q^{75} - 10q^{76} + 33q^{77} + 23q^{78} - 10q^{79} - 17q^{81} + 26q^{82} + 27q^{83} + 26q^{84} + 5q^{85} - 23q^{86} + q^{88} - 15q^{89} + 20q^{90} + q^{91} + 7q^{92} - 46q^{93} - q^{94} - 30q^{95} - 3q^{96} - 36q^{97} - 19q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).

\(n\) \(27\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) −0.720859 2.21858i −0.416188 1.28090i −0.911184 0.412000i \(-0.864830\pi\)
0.494996 0.868895i \(-0.335170\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) −2.02373 0.951057i −0.905040 0.425325i
\(6\) −0.720859 + 2.21858i −0.294289 + 0.905730i
\(7\) 3.77447 1.42661 0.713307 0.700851i \(-0.247196\pi\)
0.713307 + 0.700851i \(0.247196\pi\)
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −1.97539 + 1.43521i −0.658464 + 0.478402i
\(10\) 1.07822 + 1.95894i 0.340962 + 0.619471i
\(11\) 3.05361 + 2.21858i 0.920698 + 0.668926i 0.943698 0.330810i \(-0.107322\pi\)
−0.0230000 + 0.999735i \(0.507322\pi\)
\(12\) 1.88723 1.37116i 0.544797 0.395818i
\(13\) −2.56969 + 1.86699i −0.712705 + 0.517810i −0.884045 0.467402i \(-0.845190\pi\)
0.171340 + 0.985212i \(0.445190\pi\)
\(14\) −3.05361 2.21858i −0.816111 0.592939i
\(15\) −0.651166 + 5.17538i −0.168130 + 1.33628i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −0.430307 + 1.32435i −0.104365 + 0.321201i −0.989581 0.143979i \(-0.954010\pi\)
0.885216 + 0.465180i \(0.154010\pi\)
\(18\) 2.44172 0.575519
\(19\) 1.20945 3.72230i 0.277466 0.853953i −0.711090 0.703101i \(-0.751798\pi\)
0.988556 0.150852i \(-0.0482018\pi\)
\(20\) 0.279141 2.21858i 0.0624178 0.496089i
\(21\) −2.72086 8.37394i −0.593740 1.82734i
\(22\) −1.16637 3.58973i −0.248672 0.765333i
\(23\) −0.720859 0.523735i −0.150310 0.109206i 0.510089 0.860122i \(-0.329613\pi\)
−0.660398 + 0.750916i \(0.729613\pi\)
\(24\) −2.33275 −0.476170
\(25\) 3.19098 + 3.84937i 0.638197 + 0.769873i
\(26\) 3.17632 0.622927
\(27\) −1.05361 0.765491i −0.202767 0.147319i
\(28\) 1.16637 + 3.58973i 0.220424 + 0.678396i
\(29\) 0.0152089 + 0.0468081i 0.00282422 + 0.00869205i 0.952459 0.304668i \(-0.0985454\pi\)
−0.949634 + 0.313360i \(0.898545\pi\)
\(30\) 3.56882 3.80423i 0.651574 0.694553i
\(31\) −1.72466 + 5.30795i −0.309757 + 0.953335i 0.668102 + 0.744070i \(0.267107\pi\)
−0.977859 + 0.209265i \(0.932893\pi\)
\(32\) 1.00000 0.176777
\(33\) 2.72086 8.37394i 0.473641 1.45772i
\(34\) 1.12656 0.818492i 0.193203 0.140370i
\(35\) −7.63851 3.58973i −1.29114 0.606775i
\(36\) −1.97539 1.43521i −0.329232 0.239201i
\(37\) −5.70152 + 4.14240i −0.937324 + 0.681006i −0.947775 0.318940i \(-0.896673\pi\)
0.0104512 + 0.999945i \(0.496673\pi\)
\(38\) −3.16637 + 2.30051i −0.513654 + 0.373191i
\(39\) 5.99445 + 4.35522i 0.959880 + 0.697394i
\(40\) −1.52988 + 1.63079i −0.241895 + 0.257851i
\(41\) 1.20477 0.875319i 0.188154 0.136702i −0.489721 0.871879i \(-0.662901\pi\)
0.677875 + 0.735178i \(0.262901\pi\)
\(42\) −2.72086 + 8.37394i −0.419838 + 1.29213i
\(43\) 2.69767 0.411391 0.205695 0.978616i \(-0.434054\pi\)
0.205695 + 0.978616i \(0.434054\pi\)
\(44\) −1.16637 + 3.58973i −0.175838 + 0.541172i
\(45\) 5.36263 1.02576i 0.799413 0.152912i
\(46\) 0.275344 + 0.847421i 0.0405972 + 0.124945i
\(47\) 1.16637 + 3.58973i 0.170133 + 0.523616i 0.999378 0.0352696i \(-0.0112290\pi\)
−0.829245 + 0.558886i \(0.811229\pi\)
\(48\) 1.88723 + 1.37116i 0.272399 + 0.197909i
\(49\) 7.24660 1.03523
\(50\) −0.318958 4.98982i −0.0451075 0.705667i
\(51\) 3.24836 0.454861
\(52\) −2.56969 1.86699i −0.356352 0.258905i
\(53\) 3.58963 + 11.0477i 0.493073 + 1.51752i 0.819938 + 0.572453i \(0.194008\pi\)
−0.326864 + 0.945071i \(0.605992\pi\)
\(54\) 0.402443 + 1.23859i 0.0547655 + 0.168551i
\(55\) −4.06969 7.39396i −0.548757 0.997001i
\(56\) 1.16637 3.58973i 0.155863 0.479698i
\(57\) −9.13004 −1.20930
\(58\) 0.0152089 0.0468081i 0.00199702 0.00614620i
\(59\) 0.558282 0.405615i 0.0726821 0.0528066i −0.550851 0.834604i \(-0.685697\pi\)
0.623533 + 0.781797i \(0.285697\pi\)
\(60\) −5.12330 + 0.979986i −0.661415 + 0.126516i
\(61\) −8.38168 6.08965i −1.07316 0.779700i −0.0966862 0.995315i \(-0.530824\pi\)
−0.976478 + 0.215615i \(0.930824\pi\)
\(62\) 4.51521 3.28049i 0.573432 0.416623i
\(63\) −7.45605 + 5.41714i −0.939374 + 0.682495i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 6.97599 1.33437i 0.865265 0.165508i
\(66\) −7.12330 + 5.17538i −0.876818 + 0.637045i
\(67\) 4.73519 14.5734i 0.578496 1.78043i −0.0454589 0.998966i \(-0.514475\pi\)
0.623955 0.781461i \(-0.285525\pi\)
\(68\) −1.39250 −0.168866
\(69\) −0.642308 + 1.97682i −0.0773248 + 0.237981i
\(70\) 4.06969 + 7.39396i 0.486421 + 0.883747i
\(71\) −2.06969 6.36986i −0.245627 0.755963i −0.995533 0.0944182i \(-0.969901\pi\)
0.749905 0.661545i \(-0.230099\pi\)
\(72\) 0.754532 + 2.32221i 0.0889225 + 0.273675i
\(73\) −4.18158 3.03810i −0.489417 0.355582i 0.315543 0.948911i \(-0.397813\pi\)
−0.804960 + 0.593329i \(0.797813\pi\)
\(74\) 7.04746 0.819251
\(75\) 6.23987 9.85429i 0.720518 1.13788i
\(76\) 3.91385 0.448950
\(77\) 11.5257 + 8.37394i 1.31348 + 0.954299i
\(78\) −2.28968 7.04690i −0.259255 0.797904i
\(79\) −0.558282 1.71821i −0.0628116 0.193314i 0.914726 0.404074i \(-0.132406\pi\)
−0.977538 + 0.210760i \(0.932406\pi\)
\(80\) 2.19625 0.420099i 0.245548 0.0469685i
\(81\) −3.20239 + 9.85596i −0.355822 + 1.09511i
\(82\) −1.48918 −0.164453
\(83\) −3.08023 + 9.47997i −0.338099 + 1.04056i 0.627076 + 0.778958i \(0.284251\pi\)
−0.965175 + 0.261604i \(0.915749\pi\)
\(84\) 7.12330 5.17538i 0.777216 0.564680i
\(85\) 2.13035 2.27088i 0.231069 0.246311i
\(86\) −2.18246 1.58565i −0.235341 0.170985i
\(87\) 0.0928839 0.0674841i 0.00995820 0.00723505i
\(88\) 3.05361 2.21858i 0.325516 0.236501i
\(89\) −11.7390 8.52891i −1.24434 0.904063i −0.246457 0.969154i \(-0.579266\pi\)
−0.997879 + 0.0650909i \(0.979266\pi\)
\(90\) −4.94138 2.32221i −0.520868 0.244783i
\(91\) −9.69922 + 7.04690i −1.01675 + 0.738716i
\(92\) 0.275344 0.847421i 0.0287066 0.0883497i
\(93\) 13.0193 1.35004
\(94\) 1.16637 3.58973i 0.120302 0.370253i
\(95\) −5.98771 + 6.38268i −0.614326 + 0.654849i
\(96\) −0.720859 2.21858i −0.0735724 0.226432i
\(97\) −0.0278640 0.0857567i −0.00282917 0.00870727i 0.949632 0.313367i \(-0.101457\pi\)
−0.952461 + 0.304660i \(0.901457\pi\)
\(98\) −5.86263 4.25945i −0.592215 0.430269i
\(99\) −9.21619 −0.926261
\(100\) −2.67490 + 4.22433i −0.267490 + 0.422433i
\(101\) 16.3785 1.62972 0.814859 0.579659i \(-0.196814\pi\)
0.814859 + 0.579659i \(0.196814\pi\)
\(102\) −2.62798 1.90934i −0.260208 0.189052i
\(103\) −0.375822 1.15666i −0.0370308 0.113969i 0.930832 0.365446i \(-0.119084\pi\)
−0.967863 + 0.251477i \(0.919084\pi\)
\(104\) 0.981536 + 3.02086i 0.0962475 + 0.296219i
\(105\) −2.45780 + 19.5343i −0.239857 + 1.90635i
\(106\) 3.58963 11.0477i 0.348656 1.07305i
\(107\) −10.8125 −1.04528 −0.522641 0.852553i \(-0.675053\pi\)
−0.522641 + 0.852553i \(0.675053\pi\)
\(108\) 0.402443 1.23859i 0.0387250 0.119183i
\(109\) −9.23519 + 6.70976i −0.884571 + 0.642678i −0.934457 0.356077i \(-0.884114\pi\)
0.0498859 + 0.998755i \(0.484114\pi\)
\(110\) −1.05361 + 8.37394i −0.100458 + 0.798424i
\(111\) 13.3002 + 9.66317i 1.26240 + 0.917187i
\(112\) −3.05361 + 2.21858i −0.288539 + 0.209636i
\(113\) 8.43232 6.12644i 0.793246 0.576327i −0.115679 0.993287i \(-0.536904\pi\)
0.908925 + 0.416960i \(0.136904\pi\)
\(114\) 7.38636 + 5.36650i 0.691796 + 0.502619i
\(115\) 0.960724 + 1.74548i 0.0895880 + 0.162767i
\(116\) −0.0398173 + 0.0289290i −0.00369695 + 0.00268599i
\(117\) 2.39663 7.37608i 0.221569 0.681919i
\(118\) −0.690074 −0.0635265
\(119\) −1.62418 + 4.99871i −0.148888 + 0.458231i
\(120\) 4.72086 + 2.21858i 0.430954 + 0.202527i
\(121\) 1.00326 + 3.08770i 0.0912051 + 0.280700i
\(122\) 3.20152 + 9.85326i 0.289852 + 0.892072i
\(123\) −2.81044 2.04190i −0.253408 0.184112i
\(124\) −5.58111 −0.501198
\(125\) −2.79673 10.8249i −0.250147 0.968208i
\(126\) 9.21619 0.821043
\(127\) 2.87115 + 2.08601i 0.254773 + 0.185104i 0.707840 0.706373i \(-0.249670\pi\)
−0.453066 + 0.891477i \(0.649670\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) −1.94464 5.98498i −0.171216 0.526948i
\(130\) −6.42801 3.02086i −0.563774 0.264947i
\(131\) 1.25252 3.85486i 0.109433 0.336801i −0.881312 0.472535i \(-0.843339\pi\)
0.990745 + 0.135734i \(0.0433392\pi\)
\(132\) 8.80489 0.766367
\(133\) 4.56502 14.0497i 0.395837 1.21826i
\(134\) −12.3969 + 9.00687i −1.07093 + 0.778075i
\(135\) 1.40420 + 2.55119i 0.120854 + 0.219571i
\(136\) 1.12656 + 0.818492i 0.0966015 + 0.0701851i
\(137\) 2.88636 2.09706i 0.246598 0.179164i −0.457620 0.889148i \(-0.651298\pi\)
0.704218 + 0.709984i \(0.251298\pi\)
\(138\) 1.68158 1.22174i 0.143146 0.104002i
\(139\) 8.04650 + 5.84613i 0.682495 + 0.495862i 0.874185 0.485594i \(-0.161397\pi\)
−0.191689 + 0.981456i \(0.561397\pi\)
\(140\) 1.05361 8.37394i 0.0890461 0.707727i
\(141\) 7.12330 5.17538i 0.599890 0.435846i
\(142\) −2.06969 + 6.36986i −0.173685 + 0.534547i
\(143\) −11.9889 −1.00256
\(144\) 0.754532 2.32221i 0.0628777 0.193518i
\(145\) 0.0137385 0.109192i 0.00114092 0.00906786i
\(146\) 1.59722 + 4.91575i 0.132187 + 0.406830i
\(147\) −5.22378 16.0771i −0.430850 1.32602i
\(148\) −5.70152 4.14240i −0.468662 0.340503i
\(149\) −19.5103 −1.59834 −0.799171 0.601104i \(-0.794728\pi\)
−0.799171 + 0.601104i \(0.794728\pi\)
\(150\) −10.8404 + 4.30459i −0.885112 + 0.351468i
\(151\) −18.4324 −1.50001 −0.750003 0.661435i \(-0.769948\pi\)
−0.750003 + 0.661435i \(0.769948\pi\)
\(152\) −3.16637 2.30051i −0.256827 0.186596i
\(153\) −1.05069 3.23368i −0.0849430 0.261428i
\(154\) −4.40244 13.5493i −0.354759 1.09184i
\(155\) 8.53840 9.10162i 0.685821 0.731059i
\(156\) −2.28968 + 7.04690i −0.183321 + 0.564203i
\(157\) 10.1564 0.810572 0.405286 0.914190i \(-0.367172\pi\)
0.405286 + 0.914190i \(0.367172\pi\)
\(158\) −0.558282 + 1.71821i −0.0444145 + 0.136694i
\(159\) 21.9226 15.9277i 1.73858 1.26315i
\(160\) −2.02373 0.951057i −0.159990 0.0751876i
\(161\) −2.72086 1.97682i −0.214434 0.155795i
\(162\) 8.38398 6.09132i 0.658708 0.478579i
\(163\) 15.0481 10.9331i 1.17865 0.856343i 0.186636 0.982429i \(-0.440242\pi\)
0.992019 + 0.126086i \(0.0402416\pi\)
\(164\) 1.20477 + 0.875319i 0.0940770 + 0.0683510i
\(165\) −13.4704 + 14.3589i −1.04867 + 1.11784i
\(166\) 8.06414 5.85894i 0.625899 0.454742i
\(167\) 0.671048 2.06527i 0.0519273 0.159816i −0.921730 0.387832i \(-0.873224\pi\)
0.973657 + 0.228016i \(0.0732240\pi\)
\(168\) −8.80489 −0.679312
\(169\) −0.899554 + 2.76854i −0.0691965 + 0.212965i
\(170\) −3.05828 + 0.584988i −0.234560 + 0.0448666i
\(171\) 2.95313 + 9.08880i 0.225831 + 0.695038i
\(172\) 0.833625 + 2.56564i 0.0635633 + 0.195628i
\(173\) 5.17306 + 3.75845i 0.393300 + 0.285750i 0.766807 0.641878i \(-0.221845\pi\)
−0.373506 + 0.927628i \(0.621845\pi\)
\(174\) −0.114811 −0.00870378
\(175\) 12.0443 + 14.5293i 0.910461 + 1.09831i
\(176\) −3.77447 −0.284511
\(177\) −1.30233 0.946199i −0.0978892 0.0711207i
\(178\) 4.48391 + 13.8001i 0.336084 + 1.03436i
\(179\) 2.47630 + 7.62127i 0.185087 + 0.569640i 0.999950 0.0100140i \(-0.00318759\pi\)
−0.814862 + 0.579654i \(0.803188\pi\)
\(180\) 2.63270 + 4.78318i 0.196230 + 0.356517i
\(181\) −3.35682 + 10.3312i −0.249510 + 0.767913i 0.745352 + 0.666671i \(0.232282\pi\)
−0.994862 + 0.101242i \(0.967718\pi\)
\(182\) 11.9889 0.888676
\(183\) −7.46834 + 22.9852i −0.552075 + 1.69911i
\(184\) −0.720859 + 0.523735i −0.0531424 + 0.0386102i
\(185\) 15.4780 2.96063i 1.13797 0.217670i
\(186\) −10.5328 7.65256i −0.772306 0.561113i
\(187\) −4.25215 + 3.08937i −0.310948 + 0.225917i
\(188\) −3.05361 + 2.21858i −0.222707 + 0.161806i
\(189\) −3.97681 2.88932i −0.289270 0.210167i
\(190\) 8.59580 1.64421i 0.623605 0.119283i
\(191\) 6.62243 4.81147i 0.479182 0.348146i −0.321827 0.946798i \(-0.604297\pi\)
0.801009 + 0.598652i \(0.204297\pi\)
\(192\) −0.720859 + 2.21858i −0.0520235 + 0.160112i
\(193\) −17.5576 −1.26382 −0.631912 0.775040i \(-0.717730\pi\)
−0.631912 + 0.775040i \(0.717730\pi\)
\(194\) −0.0278640 + 0.0857567i −0.00200052 + 0.00615697i
\(195\) −7.98910 14.5149i −0.572111 1.03943i
\(196\) 2.23932 + 6.89193i 0.159952 + 0.492281i
\(197\) 1.47012 + 4.52458i 0.104742 + 0.322363i 0.989670 0.143365i \(-0.0457924\pi\)
−0.884928 + 0.465728i \(0.845792\pi\)
\(198\) 7.45605 + 5.41714i 0.529878 + 0.384979i
\(199\) 14.5320 1.03015 0.515073 0.857146i \(-0.327765\pi\)
0.515073 + 0.857146i \(0.327765\pi\)
\(200\) 4.64703 1.84529i 0.328595 0.130481i
\(201\) −35.7457 −2.52130
\(202\) −13.2505 9.62702i −0.932299 0.677355i
\(203\) 0.0574054 + 0.176676i 0.00402907 + 0.0124002i
\(204\) 1.00380 + 3.08937i 0.0702799 + 0.216299i
\(205\) −3.27062 + 0.625604i −0.228430 + 0.0436941i
\(206\) −0.375822 + 1.15666i −0.0261848 + 0.0805884i
\(207\) 2.17565 0.151218
\(208\) 0.981536 3.02086i 0.0680572 0.209459i
\(209\) 11.9514 8.68318i 0.826694 0.600628i
\(210\) 13.4704 14.3589i 0.929545 0.990860i
\(211\) 11.4362 + 8.30886i 0.787298 + 0.572006i 0.907160 0.420785i \(-0.138245\pi\)
−0.119862 + 0.992791i \(0.538245\pi\)
\(212\) −9.39777 + 6.82788i −0.645441 + 0.468941i
\(213\) −12.6401 + 9.18355i −0.866083 + 0.629246i
\(214\) 8.74748 + 6.35542i 0.597965 + 0.434447i
\(215\) −5.45936 2.56564i −0.372325 0.174975i
\(216\) −1.05361 + 0.765491i −0.0716890 + 0.0520851i
\(217\) −6.50966 + 20.0347i −0.441904 + 1.36004i
\(218\) 11.4153 0.773143
\(219\) −3.72592 + 11.4672i −0.251774 + 0.774882i
\(220\) 5.77447 6.15537i 0.389315 0.414995i
\(221\) −1.36679 4.20655i −0.0919402 0.282963i
\(222\) −5.08023 15.6353i −0.340963 1.04938i
\(223\) −3.73139 2.71102i −0.249873 0.181543i 0.455798 0.890083i \(-0.349354\pi\)
−0.705670 + 0.708540i \(0.749354\pi\)
\(224\) 3.77447 0.252192
\(225\) −11.8281 3.02429i −0.788538 0.201619i
\(226\) −10.4229 −0.693322
\(227\) 5.08578 + 3.69503i 0.337555 + 0.245248i 0.743630 0.668592i \(-0.233103\pi\)
−0.406075 + 0.913840i \(0.633103\pi\)
\(228\) −2.82134 8.68318i −0.186848 0.575058i
\(229\) 5.48103 + 16.8689i 0.362196 + 1.11473i 0.951718 + 0.306973i \(0.0993163\pi\)
−0.589522 + 0.807753i \(0.700684\pi\)
\(230\) 0.248723 1.97682i 0.0164003 0.130348i
\(231\) 10.2698 31.6072i 0.675703 2.07960i
\(232\) 0.0492169 0.00323125
\(233\) 0.792338 2.43856i 0.0519078 0.159756i −0.921742 0.387803i \(-0.873234\pi\)
0.973650 + 0.228047i \(0.0732341\pi\)
\(234\) −6.27447 + 4.55867i −0.410175 + 0.298009i
\(235\) 1.05361 8.37394i 0.0687298 0.546256i
\(236\) 0.558282 + 0.405615i 0.0363410 + 0.0264033i
\(237\) −3.40955 + 2.47718i −0.221474 + 0.160910i
\(238\) 4.25215 3.08937i 0.275626 0.200254i
\(239\) −7.63851 5.54970i −0.494094 0.358980i 0.312662 0.949864i \(-0.398779\pi\)
−0.806757 + 0.590884i \(0.798779\pi\)
\(240\) −2.51521 4.56972i −0.162356 0.294974i
\(241\) 23.8131 17.3012i 1.53394 1.11447i 0.579940 0.814659i \(-0.303076\pi\)
0.953998 0.299812i \(-0.0969240\pi\)
\(242\) 1.00326 3.08770i 0.0644917 0.198485i
\(243\) 20.2677 1.30017
\(244\) 3.20152 9.85326i 0.204956 0.630790i
\(245\) −14.6652 6.89193i −0.936924 0.440309i
\(246\) 1.07349 + 3.30386i 0.0684433 + 0.210647i
\(247\) 3.84159 + 11.8232i 0.244434 + 0.752292i
\(248\) 4.51521 + 3.28049i 0.286716 + 0.208311i
\(249\) 23.2524 1.47356
\(250\) −4.10011 + 10.4014i −0.259314 + 0.657842i
\(251\) −6.00759 −0.379196 −0.189598 0.981862i \(-0.560718\pi\)
−0.189598 + 0.981862i \(0.560718\pi\)
\(252\) −7.45605 5.41714i −0.469687 0.341248i
\(253\) −1.03928 3.19856i −0.0653387 0.201092i
\(254\) −1.09668 3.37524i −0.0688119 0.211781i
\(255\) −6.57380 3.08937i −0.411667 0.193464i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −13.6286 −0.850127 −0.425063 0.905164i \(-0.639748\pi\)
−0.425063 + 0.905164i \(0.639748\pi\)
\(258\) −1.94464 + 5.98498i −0.121068 + 0.372609i
\(259\) −21.5202 + 15.6353i −1.33720 + 0.971533i
\(260\) 3.42476 + 6.22221i 0.212394 + 0.385885i
\(261\) −0.0972227 0.0706365i −0.00601794 0.00437229i
\(262\) −3.27914 + 2.38244i −0.202586 + 0.147187i
\(263\) 7.41298 5.38584i 0.457104 0.332105i −0.335290 0.942115i \(-0.608834\pi\)
0.792394 + 0.610010i \(0.208834\pi\)
\(264\) −7.12330 5.17538i −0.438409 0.318523i
\(265\) 3.24258 25.7716i 0.199190 1.58314i
\(266\) −11.9514 + 8.68318i −0.732786 + 0.532400i
\(267\) −10.4598 + 32.1921i −0.640132 + 1.97012i
\(268\) 15.3234 0.936026
\(269\) 8.68419 26.7272i 0.529484 1.62959i −0.225790 0.974176i \(-0.572496\pi\)
0.755274 0.655409i \(-0.227504\pi\)
\(270\) 0.363534 2.88932i 0.0221240 0.175838i
\(271\) −2.81162 8.65329i −0.170794 0.525650i 0.828623 0.559808i \(-0.189125\pi\)
−0.999416 + 0.0341581i \(0.989125\pi\)
\(272\) −0.430307 1.32435i −0.0260912 0.0803004i
\(273\) 22.6259 + 16.4386i 1.36938 + 0.994912i
\(274\) −3.56773 −0.215535
\(275\) 1.20390 + 18.8339i 0.0725977 + 1.13573i
\(276\) −2.07855 −0.125114
\(277\) −15.2006 11.0439i −0.913318 0.663564i 0.0285338 0.999593i \(-0.490916\pi\)
−0.941852 + 0.336028i \(0.890916\pi\)
\(278\) −3.07349 9.45923i −0.184336 0.567327i
\(279\) −4.21112 12.9605i −0.252113 0.775925i
\(280\) −5.77447 + 6.15537i −0.345090 + 0.367854i
\(281\) 2.43554 7.49583i 0.145292 0.447164i −0.851756 0.523938i \(-0.824462\pi\)
0.997048 + 0.0767748i \(0.0244622\pi\)
\(282\) −8.80489 −0.524323
\(283\) −5.65496 + 17.4042i −0.336153 + 1.03457i 0.629999 + 0.776596i \(0.283055\pi\)
−0.966151 + 0.257975i \(0.916945\pi\)
\(284\) 5.41853 3.93679i 0.321530 0.233606i
\(285\) 18.4768 + 8.68318i 1.09447 + 0.514347i
\(286\) 9.69922 + 7.04690i 0.573527 + 0.416692i
\(287\) 4.54738 3.30386i 0.268423 0.195021i
\(288\) −1.97539 + 1.43521i −0.116401 + 0.0845703i
\(289\) 12.1846 + 8.85260i 0.716739 + 0.520741i
\(290\) −0.0752958 + 0.0802625i −0.00442152 + 0.00471318i
\(291\) −0.170172 + 0.123637i −0.00997564 + 0.00724773i
\(292\) 1.59722 4.91575i 0.0934704 0.287672i
\(293\) −29.4990 −1.72335 −0.861675 0.507461i \(-0.830584\pi\)
−0.861675 + 0.507461i \(0.830584\pi\)
\(294\) −5.22378 + 16.0771i −0.304657 + 0.937638i
\(295\) −1.51558 + 0.289899i −0.0882402 + 0.0168786i
\(296\) 2.17779 + 6.70254i 0.126581 + 0.389577i
\(297\) −1.51901 4.67502i −0.0881417 0.271272i
\(298\) 15.7841 + 11.4678i 0.914350 + 0.664314i
\(299\) 2.83020 0.163674
\(300\) 11.3002 + 2.88932i 0.652418 + 0.166815i
\(301\) 10.1823 0.586896
\(302\) 14.9121 + 10.8343i 0.858095 + 0.623443i
\(303\) −11.8066 36.3369i −0.678269 2.08750i
\(304\) 1.20945 + 3.72230i 0.0693666 + 0.213488i
\(305\) 11.1707 + 20.2953i 0.639631 + 1.16210i
\(306\) −1.05069 + 3.23368i −0.0600638 + 0.184857i
\(307\) 13.9131 0.794064 0.397032 0.917805i \(-0.370040\pi\)
0.397032 + 0.917805i \(0.370040\pi\)
\(308\) −4.40244 + 13.5493i −0.250852 + 0.772044i
\(309\) −2.29523 + 1.66758i −0.130571 + 0.0948653i
\(310\) −12.2575 + 2.34462i −0.696180 + 0.133165i
\(311\) −21.0050 15.2610i −1.19108 0.865373i −0.197705 0.980262i \(-0.563349\pi\)
−0.993378 + 0.114889i \(0.963349\pi\)
\(312\) 5.99445 4.35522i 0.339369 0.246566i
\(313\) −7.66454 + 5.56861i −0.433225 + 0.314757i −0.782937 0.622101i \(-0.786279\pi\)
0.349712 + 0.936857i \(0.386279\pi\)
\(314\) −8.21673 5.96980i −0.463697 0.336895i
\(315\) 20.2411 3.87171i 1.14045 0.218146i
\(316\) 1.46160 1.06192i 0.0822215 0.0597374i
\(317\) 7.57321 23.3079i 0.425354 1.30910i −0.477301 0.878740i \(-0.658385\pi\)
0.902655 0.430365i \(-0.141615\pi\)
\(318\) −27.0979 −1.51957
\(319\) −0.0574054 + 0.176676i −0.00321408 + 0.00989194i
\(320\) 1.07822 + 1.95894i 0.0602741 + 0.109508i
\(321\) 7.79427 + 23.9883i 0.435034 + 1.33890i
\(322\) 1.03928 + 3.19856i 0.0579166 + 0.178249i
\(323\) 4.40918 + 3.20346i 0.245333 + 0.178245i
\(324\) −10.3632 −0.575731
\(325\) −15.3866 3.93416i −0.853494 0.218228i
\(326\) −18.6004 −1.03018
\(327\) 21.5434 + 15.6522i 1.19135 + 0.865568i
\(328\) −0.460183 1.41630i −0.0254093 0.0782019i
\(329\) 4.40244 + 13.5493i 0.242715 + 0.746998i
\(330\) 19.3377 3.69892i 1.06451 0.203619i
\(331\) −3.06247 + 9.42530i −0.168328 + 0.518061i −0.999266 0.0383039i \(-0.987804\pi\)
0.830938 + 0.556365i \(0.187804\pi\)
\(332\) −9.96783 −0.547056
\(333\) 5.31754 16.3657i 0.291399 0.896835i
\(334\) −1.75683 + 1.27641i −0.0961293 + 0.0698420i
\(335\) −23.4429 + 24.9893i −1.28082 + 1.36531i
\(336\) 7.12330 + 5.17538i 0.388608 + 0.282340i
\(337\) 8.03812 5.84003i 0.437864 0.318127i −0.346922 0.937894i \(-0.612773\pi\)
0.784786 + 0.619767i \(0.212773\pi\)
\(338\) 2.35506 1.71105i 0.128099 0.0930690i
\(339\) −19.6705 14.2914i −1.06835 0.776205i
\(340\) 2.81805 + 1.32435i 0.152830 + 0.0718228i
\(341\) −17.0425 + 12.3821i −0.922904 + 0.670529i
\(342\) 2.95313 9.08880i 0.159687 0.491466i
\(343\) 0.930796 0.0502583
\(344\) 0.833625 2.56564i 0.0449461 0.138330i
\(345\) 3.17993 3.38968i 0.171201 0.182494i
\(346\) −1.97593 6.08130i −0.106227 0.326933i
\(347\) −6.06757 18.6741i −0.325724 1.00248i −0.971113 0.238622i \(-0.923304\pi\)
0.645388 0.763855i \(-0.276696\pi\)
\(348\) 0.0928839 + 0.0674841i 0.00497910 + 0.00361753i
\(349\) 1.48432 0.0794538 0.0397269 0.999211i \(-0.487351\pi\)
0.0397269 + 0.999211i \(0.487351\pi\)
\(350\) −1.20390 18.8339i −0.0643510 1.00671i
\(351\) 4.13662 0.220796
\(352\) 3.05361 + 2.21858i 0.162758 + 0.118251i
\(353\) 3.17632 + 9.77569i 0.169058 + 0.520308i 0.999312 0.0370772i \(-0.0118048\pi\)
−0.830254 + 0.557385i \(0.811805\pi\)
\(354\) 0.497446 + 1.53098i 0.0264390 + 0.0813708i
\(355\) −1.86959 + 14.8593i −0.0992277 + 0.788649i
\(356\) 4.48391 13.8001i 0.237647 0.731402i
\(357\) 12.2608 0.648911
\(358\) 2.47630 7.62127i 0.130877 0.402797i
\(359\) 8.39154 6.09681i 0.442889 0.321777i −0.343893 0.939009i \(-0.611746\pi\)
0.786782 + 0.617231i \(0.211746\pi\)
\(360\) 0.681583 5.41714i 0.0359226 0.285508i
\(361\) 2.97859 + 2.16408i 0.156768 + 0.113899i
\(362\) 8.78826 6.38504i 0.461901 0.335590i
\(363\) 6.12710 4.45160i 0.321589 0.233648i
\(364\) −9.69922 7.04690i −0.508377 0.369358i
\(365\) 5.57300 + 10.1252i 0.291704 + 0.529978i
\(366\) 19.5524 14.2056i 1.02202 0.742540i
\(367\) 8.05741 24.7981i 0.420593 1.29445i −0.486558 0.873648i \(-0.661748\pi\)
0.907151 0.420804i \(-0.138252\pi\)
\(368\) 0.891031 0.0464482
\(369\) −1.12364 + 3.45820i −0.0584942 + 0.180027i
\(370\) −14.2622 6.70254i −0.741455 0.348448i
\(371\) 13.5489 + 41.6993i 0.703426 + 2.16492i
\(372\) 4.02319 + 12.3821i 0.208593 + 0.641982i
\(373\) −7.65001 5.55806i −0.396102 0.287785i 0.371849 0.928293i \(-0.378724\pi\)
−0.767952 + 0.640508i \(0.778724\pi\)
\(374\) 5.25595 0.271779
\(375\) −21.9998 + 14.0080i −1.13606 + 0.723369i
\(376\) 3.77447 0.194653
\(377\) −0.126472 0.0918876i −0.00651366 0.00473245i
\(378\) 1.51901 + 4.67502i 0.0781292 + 0.240457i
\(379\) −10.9163 33.5968i −0.560731 1.72575i −0.680307 0.732927i \(-0.738154\pi\)
0.119576 0.992825i \(-0.461846\pi\)
\(380\) −7.92059 3.72230i −0.406318 0.190950i
\(381\) 2.55828 7.87358i 0.131065 0.403376i
\(382\) −8.18577 −0.418820
\(383\) 9.21407 28.3580i 0.470817 1.44902i −0.380700 0.924698i \(-0.624317\pi\)
0.851517 0.524327i \(-0.175683\pi\)
\(384\) 1.88723 1.37116i 0.0963075 0.0699715i
\(385\) −15.3609 27.9083i −0.782865 1.42234i
\(386\) 14.2044 + 10.3201i 0.722985 + 0.525280i
\(387\) −5.32895 + 3.87171i −0.270886 + 0.196810i
\(388\) 0.0729490 0.0530006i 0.00370343 0.00269070i
\(389\) 17.2942 + 12.5649i 0.876848 + 0.637068i 0.932416 0.361387i \(-0.117697\pi\)
−0.0555675 + 0.998455i \(0.517697\pi\)
\(390\) −2.06831 + 16.4386i −0.104733 + 0.832403i
\(391\) 1.00380 0.729301i 0.0507642 0.0368824i
\(392\) 2.23932 6.89193i 0.113103 0.348095i
\(393\) −9.45519 −0.476951
\(394\) 1.47012 4.52458i 0.0740638 0.227945i
\(395\) −0.504306 + 4.00816i −0.0253744 + 0.201673i
\(396\) −2.84796 8.76511i −0.143115 0.440464i
\(397\) 6.49555 + 19.9913i 0.326002 + 1.00333i 0.970986 + 0.239136i \(0.0768642\pi\)
−0.644984 + 0.764196i \(0.723136\pi\)
\(398\) −11.7566 8.54169i −0.589307 0.428156i
\(399\) −34.4610 −1.72521
\(400\) −4.84416 1.23859i −0.242208 0.0619295i
\(401\) 16.7820 0.838053 0.419026 0.907974i \(-0.362371\pi\)
0.419026 + 0.907974i \(0.362371\pi\)
\(402\) 28.9188 + 21.0108i 1.44234 + 1.04792i
\(403\) −5.47805 16.8597i −0.272881 0.839842i
\(404\) 5.06122 + 15.5768i 0.251805 + 0.774977i
\(405\) 15.8544 16.9002i 0.787810 0.839776i
\(406\) 0.0574054 0.176676i 0.00284898 0.00876826i
\(407\) −26.6004 −1.31853
\(408\) 1.00380 3.08937i 0.0496954 0.152947i
\(409\) −29.4165 + 21.3723i −1.45455 + 1.05679i −0.469809 + 0.882768i \(0.655677\pi\)
−0.984741 + 0.174025i \(0.944323\pi\)
\(410\) 3.01371 + 1.41630i 0.148836 + 0.0699459i
\(411\) −6.73315 4.89192i −0.332122 0.241301i
\(412\) 0.983915 0.714856i 0.0484740 0.0352184i
\(413\) 2.10722 1.53098i 0.103689 0.0753347i
\(414\) −1.76013 1.27881i −0.0865059 0.0628502i
\(415\) 15.2495 16.2554i 0.748571 0.797948i
\(416\) −2.56969 + 1.86699i −0.125990 + 0.0915368i
\(417\) 7.16968 22.0660i 0.351101 1.08058i
\(418\) −14.7727 −0.722557
\(419\) −10.6731 + 32.8484i −0.521415 + 1.60475i 0.249884 + 0.968276i \(0.419608\pi\)
−0.771298 + 0.636474i \(0.780392\pi\)
\(420\) −19.3377 + 3.69892i −0.943585 + 0.180489i
\(421\) 3.00798 + 9.25762i 0.146600 + 0.451189i 0.997213 0.0746033i \(-0.0237691\pi\)
−0.850613 + 0.525792i \(0.823769\pi\)
\(422\) −4.36823 13.4440i −0.212642 0.654445i
\(423\) −7.45605 5.41714i −0.362526 0.263390i
\(424\) 11.6163 0.564136
\(425\) −6.47100 + 2.56956i −0.313890 + 0.124642i
\(426\) 15.6240 0.756984
\(427\) −31.6364 22.9852i −1.53099 1.11233i
\(428\) −3.34124 10.2833i −0.161505 0.497061i
\(429\) 8.64231 + 26.5983i 0.417255 + 1.28418i
\(430\) 2.90867 + 5.28457i 0.140269 + 0.254845i
\(431\) −0.956560 + 2.94399i −0.0460759 + 0.141807i −0.971448 0.237254i \(-0.923753\pi\)
0.925372 + 0.379061i \(0.123753\pi\)
\(432\) 1.30233 0.0626584
\(433\) −5.63542 + 17.3440i −0.270821 + 0.833501i 0.719474 + 0.694519i \(0.244383\pi\)
−0.990295 + 0.138981i \(0.955617\pi\)
\(434\) 17.0425 12.3821i 0.818067 0.594360i
\(435\) −0.252153 + 0.0482319i −0.0120898 + 0.00231254i
\(436\) −9.23519 6.70976i −0.442285 0.321339i
\(437\) −2.82134 + 2.04982i −0.134963 + 0.0980563i
\(438\) 9.75458 7.08712i 0.466092 0.338636i
\(439\) 21.4595 + 15.5912i 1.02421 + 0.744129i 0.967141 0.254242i \(-0.0818259\pi\)
0.0570645 + 0.998370i \(0.481826\pi\)
\(440\) −8.28968 + 1.58565i −0.395195 + 0.0755929i
\(441\) −14.3149 + 10.4004i −0.681661 + 0.495256i
\(442\) −1.36679 + 4.20655i −0.0650115 + 0.200085i
\(443\) 35.5267 1.68793 0.843963 0.536401i \(-0.180217\pi\)
0.843963 + 0.536401i \(0.180217\pi\)
\(444\) −5.08023 + 15.6353i −0.241097 + 0.742020i
\(445\) 15.6452 + 28.4247i 0.741653 + 1.34746i
\(446\) 1.42527 + 4.38652i 0.0674883 + 0.207708i
\(447\) 14.0641 + 43.2850i 0.665211 + 2.04731i
\(448\) −3.05361 2.21858i −0.144269 0.104818i
\(449\) 16.1841 0.763776 0.381888 0.924209i \(-0.375274\pi\)
0.381888 + 0.924209i \(0.375274\pi\)
\(450\) 7.79148 + 9.39907i 0.367294 + 0.443076i
\(451\) 5.62087 0.264676
\(452\) 8.43232 + 6.12644i 0.396623 + 0.288163i
\(453\) 13.2871 + 40.8936i 0.624284 + 1.92135i
\(454\) −1.94259 5.97869i −0.0911705 0.280594i
\(455\) 26.3306 5.03652i 1.23440 0.236116i
\(456\) −2.82134 + 8.68318i −0.132121 + 0.406627i
\(457\) 23.7205 1.10960 0.554799 0.831984i \(-0.312795\pi\)
0.554799 + 0.831984i \(0.312795\pi\)
\(458\) 5.48103 16.8689i 0.256112 0.788230i
\(459\) 1.46715 1.06595i 0.0684807 0.0497542i
\(460\) −1.36317 + 1.45309i −0.0635580 + 0.0677504i
\(461\) 6.36936 + 4.62761i 0.296651 + 0.215529i 0.726147 0.687539i \(-0.241309\pi\)
−0.429497 + 0.903068i \(0.641309\pi\)
\(462\) −26.8867 + 19.5343i −1.25088 + 0.908818i
\(463\) −12.4775 + 9.06543i −0.579878 + 0.421306i −0.838680 0.544624i \(-0.816672\pi\)
0.258802 + 0.965930i \(0.416672\pi\)
\(464\) −0.0398173 0.0289290i −0.00184847 0.00134299i
\(465\) −26.3476 12.3821i −1.22184 0.574206i
\(466\) −2.07437 + 1.50712i −0.0960932 + 0.0698158i
\(467\) −5.26481 + 16.2034i −0.243626 + 0.749805i 0.752233 + 0.658897i \(0.228977\pi\)
−0.995859 + 0.0909075i \(0.971023\pi\)
\(468\) 7.75567 0.358506
\(469\) 17.8728 55.0069i 0.825290 2.53998i
\(470\) −5.77447 + 6.15537i −0.266356 + 0.283926i
\(471\) −7.32136 22.5328i −0.337350 1.03826i
\(472\) −0.213245 0.656300i −0.00981538 0.0302086i
\(473\) 8.23762 + 5.98498i 0.378766 + 0.275190i
\(474\) 4.21443 0.193575
\(475\) 18.1878 7.22218i 0.834514 0.331376i
\(476\) −5.25595 −0.240906
\(477\) −22.9467 16.6718i −1.05066 0.763347i
\(478\) 2.91765 + 8.97961i 0.133450 + 0.410718i
\(479\) −7.75544 23.8688i −0.354355 1.09059i −0.956382 0.292118i \(-0.905640\pi\)
0.602027 0.798476i \(-0.294360\pi\)
\(480\) −0.651166 + 5.17538i −0.0297215 + 0.236223i
\(481\) 6.91734 21.2894i 0.315403 0.970712i
\(482\) −29.4346 −1.34071
\(483\) −2.42437 + 7.46144i −0.110313 + 0.339507i
\(484\) −2.62656 + 1.90831i −0.119389 + 0.0867412i
\(485\) −0.0251701 + 0.200049i −0.00114292 + 0.00908375i
\(486\) −16.3969 11.9130i −0.743778 0.540386i
\(487\) 11.0735 8.04536i 0.501788 0.364570i −0.307912 0.951415i \(-0.599630\pi\)
0.809699 + 0.586845i \(0.199630\pi\)
\(488\) −8.38168 + 6.08965i −0.379421 + 0.275665i
\(489\) −35.1033 25.5041i −1.58743 1.15333i
\(490\) 7.81341 + 14.1957i 0.352974 + 0.641295i
\(491\) 2.08733 1.51654i 0.0942001 0.0684403i −0.539688 0.841865i \(-0.681458\pi\)
0.633888 + 0.773425i \(0.281458\pi\)
\(492\) 1.07349 3.30386i 0.0483967 0.148950i
\(493\) −0.0685347 −0.00308665
\(494\) 3.84159 11.8232i 0.172841 0.531950i
\(495\) 18.6511 + 8.76511i 0.838304 + 0.393963i
\(496\) −1.72466 5.30795i −0.0774394 0.238334i
\(497\) −7.81199 24.0428i −0.350416 1.07847i
\(498\) −18.8116 13.6674i −0.842969 0.612453i
\(499\) −39.0539 −1.74829 −0.874146 0.485664i \(-0.838578\pi\)
−0.874146 + 0.485664i \(0.838578\pi\)
\(500\) 9.43085 6.00492i 0.421760 0.268548i
\(501\) −5.06570 −0.226319
\(502\) 4.86025 + 3.53118i 0.216923 + 0.157604i
\(503\) 3.69387 + 11.3686i 0.164702 + 0.506899i 0.999014 0.0443923i \(-0.0141352\pi\)
−0.834313 + 0.551292i \(0.814135\pi\)
\(504\) 2.84796 + 8.76511i 0.126858 + 0.390429i
\(505\) −33.1456 15.5768i −1.47496 0.693160i
\(506\) −1.03928 + 3.19856i −0.0462014 + 0.142193i
\(507\) 6.79067 0.301584
\(508\) −1.09668 + 3.37524i −0.0486574 + 0.149752i
\(509\) 3.94254 2.86442i 0.174750 0.126963i −0.496972 0.867767i \(-0.665555\pi\)
0.671722 + 0.740803i \(0.265555\pi\)
\(510\) 3.50243 + 6.36334i 0.155090 + 0.281773i
\(511\) −15.7832 11.4672i −0.698210 0.507279i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −4.12367 + 2.99602i −0.182064 + 0.132278i
\(514\) 11.0257 + 8.01067i 0.486325 + 0.353336i
\(515\) −0.339487 + 2.69820i −0.0149596 + 0.118897i
\(516\) 5.09113 3.69892i 0.224125 0.162836i
\(517\) −4.40244 + 13.5493i −0.193619 + 0.595899i
\(518\) 26.6004 1.16876
\(519\) 4.60936 14.1861i 0.202328 0.622702i
\(520\) 0.886640 7.04690i 0.0388817 0.309027i
\(521\) −2.70131 8.31378i −0.118347 0.364233i 0.874284 0.485415i \(-0.161332\pi\)
−0.992630 + 0.121182i \(0.961332\pi\)
\(522\) 0.0371358 + 0.114292i 0.00162539 + 0.00500243i
\(523\) 17.0534 + 12.3900i 0.745694 + 0.541778i 0.894489 0.447090i \(-0.147540\pi\)
−0.148795 + 0.988868i \(0.547540\pi\)
\(524\) 4.05324 0.177067
\(525\) 23.5522 37.1947i 1.02790 1.62331i
\(526\) −9.16294 −0.399523
\(527\) −6.28743 4.56809i −0.273885 0.198989i
\(528\) 2.72086 + 8.37394i 0.118410 + 0.364429i
\(529\) −6.86205 21.1192i −0.298350 0.918227i
\(530\) −17.7715 + 18.9437i −0.771943 + 0.822863i
\(531\) −0.520683 + 1.60250i −0.0225957 + 0.0695425i
\(532\) 14.7727 0.640478
\(533\) −1.46169 + 4.49861i −0.0633126 + 0.194856i
\(534\) 27.3842 19.8958i 1.18503 0.860976i
\(535\) 21.8816 + 10.2833i 0.946022 + 0.444585i
\(536\) −12.3969 9.00687i −0.535464 0.389038i
\(537\) 15.1233 10.9877i 0.652619 0.474155i
\(538\) −22.7355 + 16.5183i −0.980197 + 0.712155i
\(539\) 22.1283 + 16.0771i 0.953133 + 0.692492i
\(540\) −1.99241 + 2.12383i −0.0857395 + 0.0913951i
\(541\) −26.5406 + 19.2829i −1.14107 + 0.829036i −0.987268 0.159066i \(-0.949152\pi\)
−0.153802 + 0.988102i \(0.549152\pi\)
\(542\) −2.81162 + 8.65329i −0.120770 + 0.371690i
\(543\) 25.3404 1.08746
\(544\) −0.430307 + 1.32435i −0.0184492 + 0.0567809i
\(545\) 25.0709 4.79557i 1.07392 0.205419i
\(546\) −8.64231 26.5983i −0.369857 1.13830i
\(547\) −1.69044 5.20264i −0.0722781 0.222449i 0.908391 0.418121i \(-0.137311\pi\)
−0.980669 + 0.195672i \(0.937311\pi\)
\(548\) 2.88636 + 2.09706i 0.123299 + 0.0895820i
\(549\) 25.2970 1.07965
\(550\) 10.0963 15.9446i 0.430508 0.679879i
\(551\) 0.192628 0.00820623
\(552\) 1.68158 + 1.22174i 0.0715729 + 0.0520008i
\(553\) −2.10722 6.48535i −0.0896080 0.275785i
\(554\) 5.80613 + 17.8694i 0.246679 + 0.759199i
\(555\) −17.7258 32.2049i −0.752420 1.36702i
\(556\) −3.07349 + 9.45923i −0.130345 + 0.401161i
\(557\) −5.19840 −0.220263 −0.110132 0.993917i \(-0.535127\pi\)
−0.110132 + 0.993917i \(0.535127\pi\)
\(558\) −4.21112 + 12.9605i −0.178271 + 0.548662i
\(559\) −6.93218 + 5.03652i −0.293200 + 0.213022i
\(560\) 8.28968 1.58565i 0.350303 0.0670059i
\(561\) 9.91921 + 7.20673i 0.418789 + 0.304268i
\(562\) −6.37633 + 4.63268i −0.268969 + 0.195418i
\(563\) 4.05741 2.94788i 0.170999 0.124238i −0.498994 0.866605i \(-0.666297\pi\)
0.669993 + 0.742367i \(0.266297\pi\)
\(564\) 7.12330 + 5.17538i 0.299945 + 0.217923i
\(565\) −22.8913 + 4.37866i −0.963046 + 0.184212i
\(566\) 14.8049 10.7564i 0.622296 0.452124i
\(567\) −12.0873 + 37.2010i −0.507620 + 1.56229i
\(568\) −6.69767 −0.281028
\(569\) −12.9303 + 39.7952i −0.542064 + 1.66830i 0.185805 + 0.982587i \(0.440511\pi\)
−0.727869 + 0.685716i \(0.759489\pi\)
\(570\) −9.84416 17.8852i −0.412327 0.749129i
\(571\) −13.7723 42.3869i −0.576355 1.77384i −0.631519 0.775360i \(-0.717568\pi\)
0.0551642 0.998477i \(-0.482432\pi\)
\(572\) −3.70477 11.4021i −0.154904 0.476747i
\(573\) −15.4485 11.2240i −0.645369 0.468888i
\(574\) −5.62087 −0.234611
\(575\) −0.284202 4.44608i −0.0118520 0.185414i
\(576\) 2.44172 0.101738
\(577\) 20.3401 + 14.7779i 0.846769 + 0.615213i 0.924253 0.381780i \(-0.124689\pi\)
−0.0774845 + 0.996994i \(0.524689\pi\)
\(578\) −4.65409 14.3238i −0.193584 0.595792i
\(579\) 12.6566 + 38.9529i 0.525989 + 1.61883i
\(580\) 0.108093 0.0206760i 0.00448831 0.000858524i
\(581\) −11.6262 + 35.7818i −0.482337 + 1.48448i
\(582\) 0.210344 0.00871903
\(583\) −13.5489 + 41.6993i −0.561140 + 1.72701i
\(584\) −4.18158 + 3.03810i −0.173035 + 0.125717i
\(585\) −11.8652 + 12.6479i −0.490566 + 0.522925i
\(586\) 23.8652 + 17.3391i 0.985861 + 0.716270i
\(587\) −17.2770 + 12.5525i −0.713099 + 0.518097i −0.884172 0.467162i \(-0.845277\pi\)
0.171073 + 0.985258i \(0.445277\pi\)
\(588\) 13.6760 9.93622i 0.563990 0.409763i
\(589\) 17.6719 + 12.8394i 0.728157 + 0.529037i
\(590\) 1.39653 + 0.656300i 0.0574940 + 0.0270194i
\(591\) 8.97836 6.52316i 0.369321 0.268327i
\(592\) 2.17779 6.70254i 0.0895065 0.275473i
\(593\) −33.4430 −1.37334 −0.686669 0.726970i \(-0.740928\pi\)
−0.686669 + 0.726970i \(0.740928\pi\)
\(594\) −1.51901 + 4.67502i −0.0623256 + 0.191818i
\(595\) 8.04095 8.57136i 0.329647 0.351391i
\(596\) −6.02900 18.5554i −0.246957 0.760057i
\(597\) −10.4755 32.2403i −0.428734 1.31951i
\(598\) −2.28968 1.66355i −0.0936318 0.0680275i
\(599\) 26.3174 1.07530 0.537650 0.843168i \(-0.319312\pi\)
0.537650 + 0.843168i \(0.319312\pi\)
\(600\) −7.44376 8.97961i −0.303890 0.366591i
\(601\) 20.9964 0.856462 0.428231 0.903669i \(-0.359137\pi\)
0.428231 + 0.903669i \(0.359137\pi\)
\(602\) −8.23762 5.98498i −0.335740 0.243930i
\(603\) 11.5620 + 35.5842i 0.470841 + 1.44910i
\(604\) −5.69592 17.5302i −0.231764 0.713295i
\(605\) 0.906260 7.20284i 0.0368447 0.292837i
\(606\) −11.8066 + 36.3369i −0.479609 + 1.47608i
\(607\) 9.32822 0.378621 0.189310 0.981917i \(-0.439375\pi\)
0.189310 + 0.981917i \(0.439375\pi\)
\(608\) 1.20945 3.72230i 0.0490496 0.150959i
\(609\) 0.350587 0.254716i 0.0142065 0.0103216i
\(610\) 2.89199 22.9852i 0.117093 0.930643i
\(611\) −9.69922 7.04690i −0.392389 0.285087i
\(612\) 2.75074 1.99853i 0.111192 0.0807856i
\(613\) 25.9724 18.8700i 1.04902 0.762154i 0.0769902 0.997032i \(-0.475469\pi\)
0.972025 + 0.234878i \(0.0754690\pi\)
\(614\) −11.2560 8.17793i −0.454253 0.330034i
\(615\) 3.74560 + 6.80514i 0.151037 + 0.274410i
\(616\) 11.5257 8.37394i 0.464385 0.337396i
\(617\) −9.86557 + 30.3631i −0.397173 + 1.22237i 0.530084 + 0.847945i \(0.322160\pi\)
−0.927257 + 0.374427i \(0.877840\pi\)
\(618\) 2.83706 0.114123
\(619\) −1.40420 + 4.32167i −0.0564394 + 0.173703i −0.975302 0.220875i \(-0.929109\pi\)
0.918863 + 0.394577i \(0.129109\pi\)
\(620\) 11.2947 + 5.30795i 0.453605 + 0.213172i
\(621\) 0.358589 + 1.10362i 0.0143897 + 0.0442868i
\(622\) 8.02319 + 24.6928i 0.321701 + 0.990093i
\(623\) −44.3086 32.1921i −1.77519 1.28975i
\(624\) −7.40955 −0.296619
\(625\) −4.63525 + 24.5665i −0.185410 + 0.982661i
\(626\) 9.47389 0.378653
\(627\) −27.8796 20.2557i −1.11340 0.808934i
\(628\) 3.13851 + 9.65934i 0.125240 + 0.385450i
\(629\) −3.03257 9.33329i −0.120916 0.372143i
\(630\) −18.6511 8.76511i −0.743077 0.349210i
\(631\) −8.31756 + 25.5988i −0.331117 + 1.01907i 0.637486 + 0.770462i \(0.279974\pi\)
−0.968603 + 0.248611i \(0.920026\pi\)
\(632\) −1.80664 −0.0718642
\(633\) 10.1900 31.3615i 0.405015 1.24651i
\(634\) −19.8269 + 14.4051i −0.787427 + 0.572100i
\(635\) −3.82652 6.95215i −0.151851 0.275888i
\(636\) 21.9226 + 15.9277i 0.869289 + 0.631575i
\(637\) −18.6215 + 13.5293i −0.737813 + 0.536052i
\(638\) 0.150289 0.109192i 0.00595001 0.00432293i
\(639\) 13.2305 + 9.61253i 0.523391 + 0.380266i
\(640\) 0.279141 2.21858i 0.0110340 0.0876969i
\(641\) −28.9303 + 21.0191i −1.14268 + 0.830205i −0.987490 0.157679i \(-0.949599\pi\)
−0.155189 + 0.987885i \(0.549599\pi\)
\(642\) 7.79427 23.9883i 0.307615 0.946743i
\(643\) 28.2255 1.11311 0.556553 0.830812i \(-0.312124\pi\)
0.556553 + 0.830812i \(0.312124\pi\)
\(644\) 1.03928 3.19856i 0.0409532 0.126041i
\(645\) −1.75663 + 13.9615i −0.0691672 + 0.549732i
\(646\) −1.68416 5.18330i −0.0662623 0.203934i
\(647\) 0.394848 + 1.21522i 0.0155231 + 0.0477751i 0.958518 0.285032i \(-0.0920042\pi\)
−0.942995 + 0.332807i \(0.892004\pi\)
\(648\) 8.38398 + 6.09132i 0.329354 + 0.239290i
\(649\) 2.60466 0.102242
\(650\) 10.1356 + 12.2268i 0.397550 + 0.479575i
\(651\) 49.1410 1.92599
\(652\) 15.0481 + 10.9331i 0.589327 + 0.428171i
\(653\) −8.47040 26.0692i −0.331472 1.02017i −0.968434 0.249272i \(-0.919809\pi\)
0.636961 0.770896i \(-0.280191\pi\)
\(654\) −8.22884 25.3258i −0.321773 0.990316i
\(655\) −6.20096 + 6.60999i −0.242291 + 0.258274i
\(656\) −0.460183 + 1.41630i −0.0179671 + 0.0552971i
\(657\) 12.6206 0.492375
\(658\) 4.40244 13.5493i 0.171625 0.528208i
\(659\) 33.3535 24.2327i 1.29927 0.943972i 0.299318 0.954153i \(-0.403241\pi\)
0.999948 + 0.0101814i \(0.00324090\pi\)
\(660\) −17.8187 8.37394i −0.693593 0.325955i
\(661\) 21.4653 + 15.5955i 0.834904 + 0.606593i 0.920942 0.389699i \(-0.127421\pi\)
−0.0860388 + 0.996292i \(0.527421\pi\)
\(662\) 8.01764 5.82516i 0.311614 0.226401i
\(663\) −8.34728 + 6.06465i −0.324181 + 0.235532i
\(664\) 8.06414 + 5.85894i 0.312949 + 0.227371i
\(665\) −22.6004 + 24.0912i −0.876407 + 0.934217i
\(666\) −13.9215 + 10.1146i −0.539447 + 0.391931i
\(667\) 0.0135516 0.0417075i 0.000524719 0.00161492i
\(668\) 2.17156 0.0840201
\(669\) −3.32479 + 10.2326i −0.128544 + 0.395617i
\(670\) 33.6540 6.43735i 1.30017 0.248696i
\(671\) −12.0840 37.1908i −0.466499 1.43574i
\(672\) −2.72086 8.37394i −0.104959 0.323032i
\(673\) 6.42142 + 4.66543i 0.247527 + 0.179839i 0.704630 0.709575i \(-0.251113\pi\)
−0.457103 + 0.889414i \(0.651113\pi\)
\(674\) −9.93566 −0.382707
\(675\) −0.415389 6.49839i −0.0159883 0.250123i
\(676\) −2.91102 −0.111962
\(677\) −23.8667 17.3402i −0.917271 0.666436i 0.0255722 0.999673i \(-0.491859\pi\)
−0.942843 + 0.333237i \(0.891859\pi\)
\(678\) 7.51346 + 23.1240i 0.288553 + 0.888073i
\(679\) −0.105172 0.323686i −0.00403613 0.0124219i
\(680\) −1.50142 2.72783i −0.0575768 0.104607i
\(681\) 4.53159 13.9468i 0.173651 0.534442i
\(682\) 21.0657 0.806647
\(683\) 11.6650 35.9012i 0.446349 1.37372i −0.434648 0.900600i \(-0.643127\pi\)
0.880997 0.473121i \(-0.156873\pi\)
\(684\) −7.73139 + 5.61719i −0.295617 + 0.214779i
\(685\) −7.83564 + 1.49880i −0.299384 + 0.0572663i
\(686\) −0.753030 0.547108i −0.0287508 0.0208887i
\(687\) 33.4738 24.3201i 1.27711 0.927872i
\(688\) −2.18246 + 1.58565i −0.0832055 + 0.0604523i
\(689\) −29.8503 21.6875i −1.13721 0.826228i
\(690\) −4.56502 + 0.873197i −0.173787 + 0.0332421i
\(691\) −14.2843 + 10.3782i −0.543401 + 0.394804i −0.825347 0.564626i \(-0.809020\pi\)
0.281945 + 0.959430i \(0.409020\pi\)
\(692\) −1.97593 + 6.08130i −0.0751137 + 0.231176i
\(693\) −34.7862 −1.32142
\(694\) −6.06757 + 18.6741i −0.230322 + 0.708858i
\(695\) −10.7240 19.4837i −0.406783 0.739058i
\(696\) −0.0354785 0.109192i −0.00134481 0.00413889i
\(697\) 0.640805 + 1.97219i 0.0242722 + 0.0747022i
\(698\) −1.20084 0.872461i −0.0454524 0.0330231i
\(699\) −5.98131 −0.226234
\(700\) −10.0963 + 15.9446i −0.381605 + 0.602648i
\(701\) −16.8372 −0.635931 −0.317965 0.948102i \(-0.603000\pi\)
−0.317965 + 0.948102i \(0.603000\pi\)
\(702\) −3.34659 2.43144i −0.126309 0.0917688i
\(703\) 8.52354 + 26.2328i 0.321471 + 0.989387i
\(704\) −1.16637 3.58973i −0.0439594 0.135293i
\(705\) −19.3377 + 3.69892i −0.728301 + 0.139310i
\(706\) 3.17632 9.77569i 0.119542 0.367913i
\(707\) 61.8200 2.32498
\(708\) 0.497446 1.53098i 0.0186952 0.0575378i
\(709\) 23.1615 16.8278i 0.869849 0.631982i −0.0606978 0.998156i \(-0.519333\pi\)
0.930546 + 0.366174i \(0.119333\pi\)
\(710\) 10.2466 10.9225i 0.384548 0.409914i
\(711\) 3.56882 + 2.59290i 0.133841 + 0.0972412i
\(712\) −11.7390 + 8.52891i −0.439939 + 0.319635i
\(713\) 4.02319 2.92302i 0.150670 0.109468i
\(714\) −9.91921 7.20673i −0.371217 0.269705i
\(715\) 24.2623 + 11.4021i 0.907359 + 0.426415i
\(716\) −6.48304 + 4.71020i −0.242283 + 0.176029i
\(717\) −6.80615 + 20.9472i −0.254180 + 0.782286i
\(718\) −10.3725 −0.387099
\(719\) −2.54857 + 7.84368i −0.0950455 + 0.292520i −0.987266 0.159081i \(-0.949147\pi\)
0.892220 + 0.451601i \(0.149147\pi\)
\(720\) −3.73553 + 3.98193i −0.139215 + 0.148398i
\(721\) −1.41853 4.36578i −0.0528287 0.162590i
\(722\) −1.13772 3.50155i −0.0423416 0.130314i
\(723\) −55.5500 40.3595i −2.06593 1.50098i
\(724\) −10.8629 −0.403716
\(725\) −0.131650 + 0.207908i −0.00488937 + 0.00772152i
\(726\) −7.57351 −0.281079
\(727\) 1.71013 + 1.24248i 0.0634251 + 0.0460810i 0.619046 0.785355i \(-0.287519\pi\)
−0.555621 + 0.831436i \(0.687519\pi\)
\(728\) 3.70477 + 11.4021i 0.137308 + 0.422591i
\(729\) −5.00295 15.3975i −0.185295 0.570278i
\(730\) 1.44280 11.4672i 0.0534005 0.424420i
\(731\) −1.16082 + 3.57265i −0.0429346 + 0.132139i
\(732\) −24.1681 −0.893277
\(733\) 13.9537 42.9451i 0.515393 1.58622i −0.267174 0.963648i \(-0.586090\pi\)
0.782567 0.622567i \(-0.213910\pi\)
\(734\) −21.0946 + 15.3261i −0.778614 + 0.565697i
\(735\) −4.71874 + 37.5039i −0.174053 + 1.38335i
\(736\) −0.720859 0.523735i −0.0265712 0.0193051i
\(737\) 46.7917 33.9961i 1.72359 1.25226i
\(738\) 2.94172 2.13728i 0.108286 0.0786745i
\(739\) −24.2478 17.6171i −0.891969 0.648054i 0.0444213 0.999013i \(-0.485856\pi\)
−0.936391 + 0.350959i \(0.885856\pi\)
\(740\) 7.59869 + 13.8056i 0.279334 + 0.507503i
\(741\) 23.4614 17.0457i 0.861876 0.626190i
\(742\) 13.5489 41.6993i 0.497397 1.53083i
\(743\) 17.6562 0.647741 0.323871 0.946101i \(-0.395016\pi\)
0.323871 + 0.946101i \(0.395016\pi\)
\(744\) 4.02319 12.3821i 0.147497 0.453950i
\(745\) 39.4835 + 18.5554i 1.44656 + 0.679816i
\(746\) 2.92204 + 8.99312i 0.106984 + 0.329262i
\(747\) −7.52105 23.1474i −0.275181 0.846920i
\(748\) −4.25215 3.08937i −0.155474 0.112959i
\(749\) −40.8113 −1.49121
\(750\) 26.0319 + 1.59847i 0.950550 + 0.0583677i
\(751\) 30.1342 1.09961 0.549806 0.835293i \(-0.314702\pi\)
0.549806 + 0.835293i \(0.314702\pi\)
\(752\) −3.05361 2.21858i −0.111354 0.0809031i
\(753\) 4.33063 + 13.3283i 0.157817 + 0.485710i
\(754\) 0.0483082 + 0.148677i 0.00175928 + 0.00541451i
\(755\) 37.3022 + 17.5302i 1.35757 + 0.637990i
\(756\) 1.51901 4.67502i 0.0552457 0.170029i
\(757\) −4.90706 −0.178350 −0.0891750 0.996016i \(-0.528423\pi\)
−0.0891750 + 0.996016i \(0.528423\pi\)
\(758\) −10.9163 + 33.5968i −0.396497 + 1.22029i
\(759\) −6.34708 + 4.61142i −0.230384 + 0.167384i
\(760\) 4.21998 + 7.66701i 0.153075 + 0.278112i
\(761\) −10.7466 7.80786i −0.389564 0.283035i 0.375713 0.926736i \(-0.377398\pi\)
−0.765277 + 0.643701i \(0.777398\pi\)
\(762\) −6.69767 + 4.86614i −0.242631 + 0.176282i
\(763\) −34.8579 + 25.3258i −1.26194 + 0.916854i
\(764\) 6.62243 + 4.81147i 0.239591 + 0.174073i
\(765\) −0.949106 + 7.54337i −0.0343150 + 0.272731i
\(766\) −24.1227 + 17.5262i −0.871590 + 0.633247i
\(767\) −0.677332 + 2.08461i −0.0244571 + 0.0752711i
\(768\) −2.33275 −0.0841758
\(769\) −8.83716 + 27.1980i −0.318676 + 0.980784i 0.655539 + 0.755162i \(0.272442\pi\)
−0.974215 + 0.225623i \(0.927558\pi\)
\(770\) −3.97681 + 31.6072i −0.143314 + 1.13904i
\(771\) 9.82428 + 30.2360i 0.353813 + 1.08892i
\(772\) −5.42560 16.6983i −0.195272 0.600984i
\(773\) 36.4564 + 26.4871i 1.31124 + 0.952675i 0.999997 + 0.00234562i \(0.000746636\pi\)