Properties

Label 605.2.s.b.16.19
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.19
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.19

$q$-expansion

\(f(q)\) \(=\) \(q+(2.13889 + 0.245415i) q^{2} +(-1.59867 - 1.16150i) q^{3} +(2.56661 + 0.596840i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-3.13432 - 2.87666i) q^{6} +(-2.87657 - 2.95992i) q^{7} +(1.28779 + 0.459482i) q^{8} +(0.279601 + 0.860523i) q^{9} +O(q^{10})\) \(q+(2.13889 + 0.245415i) q^{2} +(-1.59867 - 1.16150i) q^{3} +(2.56661 + 0.596840i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-3.13432 - 2.87666i) q^{6} +(-2.87657 - 2.95992i) q^{7} +(1.28779 + 0.459482i) q^{8} +(0.279601 + 0.860523i) q^{9} +(-1.40987 + 1.62707i) q^{10} +(-3.08684 + 1.21301i) q^{11} +(-3.40992 - 3.93526i) q^{12} +(2.25345 - 3.73693i) q^{13} +(-5.42626 - 7.03690i) q^{14} +(1.86114 - 0.664053i) q^{15} +(-2.08778 - 1.02649i) q^{16} +(0.584647 - 0.478064i) q^{17} +(0.386851 + 1.90919i) q^{18} +(-0.538414 - 0.0307876i) q^{19} +(-1.94138 + 1.78178i) q^{20} +(1.16073 + 8.07304i) q^{21} +(-6.90012 + 1.83695i) q^{22} +(0.613360 - 4.26602i) q^{23} +(-1.52506 - 2.23032i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(5.73699 - 7.43986i) q^{26} +(-1.27940 + 3.93759i) q^{27} +(-5.61643 - 9.31380i) q^{28} +(0.886648 - 2.27734i) q^{29} +(4.14375 - 0.963587i) q^{30} +(4.74950 + 2.00716i) q^{31} +(-6.51411 - 4.18637i) q^{32} +(6.34374 + 1.64616i) q^{33} +(1.36782 - 0.879046i) q^{34} +(4.06699 - 0.703820i) q^{35} +(0.204032 + 2.37551i) q^{36} +(-0.267728 + 3.11710i) q^{37} +(-1.14405 - 0.197986i) q^{38} +(-7.94295 + 3.35672i) q^{39} +(-1.10617 + 0.803682i) q^{40} +(-8.80037 + 4.96980i) q^{41} +(0.501427 + 17.5522i) q^{42} +(6.67512 - 1.95999i) q^{43} +(-8.64670 + 1.27098i) q^{44} +(-0.868157 - 0.254914i) q^{45} +(2.35886 - 8.97402i) q^{46} +(0.180915 - 0.892852i) q^{47} +(2.14539 + 4.06596i) q^{48} +(-0.286581 + 10.0316i) q^{49} +(-0.547313 - 2.08220i) q^{50} +(-1.48993 + 0.0851970i) q^{51} +(8.01408 - 8.24629i) q^{52} +(6.87964 - 3.38249i) q^{53} +(-3.70284 + 8.10809i) q^{54} +(0.741040 - 3.23278i) q^{55} +(-2.34438 - 5.13348i) q^{56} +(0.824984 + 0.674586i) q^{57} +(2.45534 - 4.65338i) q^{58} +(-9.92069 - 5.60247i) q^{59} +(5.17315 - 0.593564i) q^{60} +(13.9880 - 1.60497i) q^{61} +(9.66609 + 5.45869i) q^{62} +(1.74279 - 3.30295i) q^{63} +(-9.30355 - 7.60748i) q^{64} +(1.81278 + 3.96944i) q^{65} +(13.1646 + 5.07781i) q^{66} +(4.83403 - 10.5851i) q^{67} +(1.78589 - 0.878063i) q^{68} +(-5.93553 + 6.10751i) q^{69} +(8.87158 - 0.507295i) q^{70} +(-2.37963 - 9.05307i) q^{71} +(-0.0353281 + 1.23664i) q^{72} +(7.30935 + 13.8528i) q^{73} +(-1.33762 + 6.60143i) q^{74} +(-0.502350 + 1.91114i) q^{75} +(-1.36352 - 0.400367i) q^{76} +(12.4699 + 5.64749i) q^{77} +(-17.8129 + 5.23034i) q^{78} +(0.135550 + 4.74486i) q^{79} +(2.02577 - 1.14400i) q^{80} +(8.81484 - 6.40436i) q^{81} +(-20.0427 + 8.47013i) q^{82} +(-8.48854 - 1.46900i) q^{83} +(-1.83917 + 21.4131i) q^{84} +(0.0646280 + 0.752450i) q^{85} +(14.7584 - 2.55404i) q^{86} +(-4.06257 + 2.61086i) q^{87} +(-4.53256 + 0.143755i) q^{88} +(-10.7477 - 6.90714i) q^{89} +(-1.79433 - 0.758292i) q^{90} +(-17.5432 + 4.07949i) q^{91} +(4.12039 - 10.5831i) q^{92} +(-5.26156 - 8.72531i) q^{93} +(0.606078 - 1.86532i) q^{94} +(0.329319 - 0.427068i) q^{95} +(5.55143 + 14.2587i) q^{96} +(-2.95333 - 4.31910i) q^{97} +(-3.07488 + 21.3863i) q^{98} +(-1.90691 - 2.31714i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.13889 + 0.245415i 1.51243 + 0.173535i 0.830142 0.557553i \(-0.188259\pi\)
0.682284 + 0.731087i \(0.260987\pi\)
\(3\) −1.59867 1.16150i −0.922990 0.670591i 0.0212767 0.999774i \(-0.493227\pi\)
−0.944266 + 0.329182i \(0.893227\pi\)
\(4\) 2.56661 + 0.596840i 1.28331 + 0.298420i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −3.13432 2.87666i −1.27958 1.17439i
\(7\) −2.87657 2.95992i −1.08724 1.11874i −0.992375 0.123253i \(-0.960667\pi\)
−0.0948644 0.995490i \(-0.530242\pi\)
\(8\) 1.28779 + 0.459482i 0.455302 + 0.162452i
\(9\) 0.279601 + 0.860523i 0.0932003 + 0.286841i
\(10\) −1.40987 + 1.62707i −0.445839 + 0.514526i
\(11\) −3.08684 + 1.21301i −0.930718 + 0.365737i
\(12\) −3.40992 3.93526i −0.984360 1.13601i
\(13\) 2.25345 3.73693i 0.624995 1.03644i −0.369253 0.929329i \(-0.620386\pi\)
0.994247 0.107108i \(-0.0341592\pi\)
\(14\) −5.42626 7.03690i −1.45023 1.88069i
\(15\) 1.86114 0.664053i 0.480544 0.171458i
\(16\) −2.08778 1.02649i −0.521944 0.256622i
\(17\) 0.584647 0.478064i 0.141798 0.115948i −0.559453 0.828862i \(-0.688989\pi\)
0.701251 + 0.712914i \(0.252625\pi\)
\(18\) 0.386851 + 1.90919i 0.0911817 + 0.449999i
\(19\) −0.538414 0.0307876i −0.123521 0.00706317i −0.00478087 0.999989i \(-0.501522\pi\)
−0.118740 + 0.992925i \(0.537885\pi\)
\(20\) −1.94138 + 1.78178i −0.434106 + 0.398419i
\(21\) 1.16073 + 8.07304i 0.253292 + 1.76168i
\(22\) −6.90012 + 1.83695i −1.47111 + 0.391638i
\(23\) 0.613360 4.26602i 0.127895 0.889526i −0.820322 0.571902i \(-0.806206\pi\)
0.948217 0.317624i \(-0.102885\pi\)
\(24\) −1.52506 2.23032i −0.311301 0.455263i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 5.73699 7.43986i 1.12512 1.45908i
\(27\) −1.27940 + 3.93759i −0.246220 + 0.757789i
\(28\) −5.61643 9.31380i −1.06141 1.76014i
\(29\) 0.886648 2.27734i 0.164646 0.422891i −0.825235 0.564790i \(-0.808957\pi\)
0.989881 + 0.141899i \(0.0453209\pi\)
\(30\) 4.14375 0.963587i 0.756541 0.175926i
\(31\) 4.74950 + 2.00716i 0.853036 + 0.360496i 0.771543 0.636178i \(-0.219486\pi\)
0.0814936 + 0.996674i \(0.474031\pi\)
\(32\) −6.51411 4.18637i −1.15154 0.740052i
\(33\) 6.34374 + 1.64616i 1.10430 + 0.286560i
\(34\) 1.36782 0.879046i 0.234580 0.150755i
\(35\) 4.06699 0.703820i 0.687446 0.118967i
\(36\) 0.204032 + 2.37551i 0.0340054 + 0.395918i
\(37\) −0.267728 + 3.11710i −0.0440142 + 0.512448i 0.940815 + 0.338921i \(0.110062\pi\)
−0.984829 + 0.173527i \(0.944484\pi\)
\(38\) −1.14405 0.197986i −0.185590 0.0321176i
\(39\) −7.94295 + 3.35672i −1.27189 + 0.537505i
\(40\) −1.10617 + 0.803682i −0.174901 + 0.127073i
\(41\) −8.80037 + 4.96980i −1.37439 + 0.776152i −0.989184 0.146679i \(-0.953141\pi\)
−0.385203 + 0.922832i \(0.625869\pi\)
\(42\) 0.501427 + 17.5522i 0.0773718 + 2.70837i
\(43\) 6.67512 1.95999i 1.01795 0.298896i 0.270146 0.962819i \(-0.412928\pi\)
0.747801 + 0.663923i \(0.231110\pi\)
\(44\) −8.64670 + 1.27098i −1.30354 + 0.191607i
\(45\) −0.868157 0.254914i −0.129417 0.0380003i
\(46\) 2.35886 8.97402i 0.347795 1.32315i
\(47\) 0.180915 0.892852i 0.0263892 0.130236i −0.964722 0.263270i \(-0.915199\pi\)
0.991112 + 0.133034i \(0.0424719\pi\)
\(48\) 2.14539 + 4.06596i 0.309660 + 0.586871i
\(49\) −0.286581 + 10.0316i −0.0409401 + 1.43309i
\(50\) −0.547313 2.08220i −0.0774018 0.294467i
\(51\) −1.48993 + 0.0851970i −0.208631 + 0.0119300i
\(52\) 8.01408 8.24629i 1.11135 1.14355i
\(53\) 6.87964 3.38249i 0.944992 0.464621i 0.0973855 0.995247i \(-0.468952\pi\)
0.847606 + 0.530626i \(0.178043\pi\)
\(54\) −3.70284 + 8.10809i −0.503893 + 1.10337i
\(55\) 0.741040 3.23278i 0.0999218 0.435908i
\(56\) −2.34438 5.13348i −0.313281 0.685990i
\(57\) 0.824984 + 0.674586i 0.109272 + 0.0893511i
\(58\) 2.45534 4.65338i 0.322402 0.611019i
\(59\) −9.92069 5.60247i −1.29156 0.729379i −0.315929 0.948783i \(-0.602316\pi\)
−0.975634 + 0.219403i \(0.929589\pi\)
\(60\) 5.17315 0.593564i 0.667851 0.0766288i
\(61\) 13.9880 1.60497i 1.79098 0.205495i 0.846123 0.532988i \(-0.178931\pi\)
0.944854 + 0.327492i \(0.106204\pi\)
\(62\) 9.66609 + 5.45869i 1.22760 + 0.693255i
\(63\) 1.74279 3.30295i 0.219570 0.416132i
\(64\) −9.30355 7.60748i −1.16294 0.950934i
\(65\) 1.81278 + 3.96944i 0.224848 + 0.492349i
\(66\) 13.1646 + 5.07781i 1.62045 + 0.625036i
\(67\) 4.83403 10.5851i 0.590571 1.29317i −0.344526 0.938777i \(-0.611960\pi\)
0.935097 0.354393i \(-0.115313\pi\)
\(68\) 1.78589 0.878063i 0.216571 0.106481i
\(69\) −5.93553 + 6.10751i −0.714554 + 0.735258i
\(70\) 8.87158 0.507295i 1.06036 0.0606334i
\(71\) −2.37963 9.05307i −0.282411 1.07440i −0.945437 0.325805i \(-0.894365\pi\)
0.663026 0.748596i \(-0.269272\pi\)
\(72\) −0.0353281 + 1.23664i −0.00416345 + 0.145740i
\(73\) 7.30935 + 13.8528i 0.855495 + 1.62134i 0.781348 + 0.624096i \(0.214532\pi\)
0.0741467 + 0.997247i \(0.476377\pi\)
\(74\) −1.33762 + 6.60143i −0.155496 + 0.767401i
\(75\) −0.502350 + 1.91114i −0.0580064 + 0.220679i
\(76\) −1.36352 0.400367i −0.156407 0.0459252i
\(77\) 12.4699 + 5.64749i 1.42108 + 0.643591i
\(78\) −17.8129 + 5.23034i −2.01691 + 0.592219i
\(79\) 0.135550 + 4.74486i 0.0152505 + 0.533838i 0.970921 + 0.239400i \(0.0769507\pi\)
−0.955671 + 0.294438i \(0.904867\pi\)
\(80\) 2.02577 1.14400i 0.226488 0.127904i
\(81\) 8.81484 6.40436i 0.979427 0.711595i
\(82\) −20.0427 + 8.47013i −2.21335 + 0.935369i
\(83\) −8.48854 1.46900i −0.931738 0.161244i −0.315609 0.948889i \(-0.602209\pi\)
−0.616129 + 0.787646i \(0.711300\pi\)
\(84\) −1.83917 + 21.4131i −0.200670 + 2.33636i
\(85\) 0.0646280 + 0.752450i 0.00700989 + 0.0816146i
\(86\) 14.7584 2.55404i 1.59144 0.275409i
\(87\) −4.06257 + 2.61086i −0.435554 + 0.279913i
\(88\) −4.53256 + 0.143755i −0.483173 + 0.0153243i
\(89\) −10.7477 6.90714i −1.13926 0.732155i −0.171784 0.985135i \(-0.554953\pi\)
−0.967472 + 0.252979i \(0.918590\pi\)
\(90\) −1.79433 0.758292i −0.189139 0.0799310i
\(91\) −17.5432 + 4.07949i −1.83903 + 0.427647i
\(92\) 4.12039 10.5831i 0.429580 1.10337i
\(93\) −5.26156 8.72531i −0.545598 0.904773i
\(94\) 0.606078 1.86532i 0.0625121 0.192393i
\(95\) 0.329319 0.427068i 0.0337874 0.0438162i
\(96\) 5.55143 + 14.2587i 0.566590 + 1.45528i
\(97\) −2.95333 4.31910i −0.299865 0.438538i 0.645885 0.763435i \(-0.276489\pi\)
−0.945750 + 0.324897i \(0.894670\pi\)
\(98\) −3.07488 + 21.3863i −0.310610 + 2.16034i
\(99\) −1.90691 2.31714i −0.191652 0.232881i
\(100\) −0.375013 2.60827i −0.0375013 0.260827i
\(101\) −0.959820 + 0.880914i −0.0955056 + 0.0876543i −0.722506 0.691365i \(-0.757010\pi\)
0.627000 + 0.779019i \(0.284282\pi\)
\(102\) −3.20770 0.183423i −0.317610 0.0181616i
\(103\) 0.752112 + 3.71182i 0.0741078 + 0.365737i 0.999925 0.0122347i \(-0.00389452\pi\)
−0.925817 + 0.377971i \(0.876622\pi\)
\(104\) 4.61902 3.77696i 0.452932 0.370361i
\(105\) −7.31923 3.59862i −0.714284 0.351190i
\(106\) 15.5449 5.54642i 1.50986 0.538716i
\(107\) −5.48663 7.11519i −0.530413 0.687852i 0.448113 0.893977i \(-0.352096\pi\)
−0.978526 + 0.206125i \(0.933914\pi\)
\(108\) −5.63383 + 9.34265i −0.542115 + 0.898997i
\(109\) 5.97083 + 6.89071i 0.571902 + 0.660010i 0.965844 0.259125i \(-0.0834342\pi\)
−0.393942 + 0.919135i \(0.628889\pi\)
\(110\) 2.37838 6.73271i 0.226769 0.641938i
\(111\) 4.04851 4.67223i 0.384268 0.443468i
\(112\) 2.96730 + 9.13240i 0.280383 + 0.862931i
\(113\) 9.00582 + 3.21327i 0.847197 + 0.302279i 0.723742 0.690071i \(-0.242421\pi\)
0.123455 + 0.992350i \(0.460603\pi\)
\(114\) 1.59900 + 1.64533i 0.149760 + 0.154099i
\(115\) 3.17527 + 2.91424i 0.296095 + 0.271754i
\(116\) 3.63488 5.31585i 0.337491 0.493564i
\(117\) 3.84578 + 0.894298i 0.355543 + 0.0826779i
\(118\) −19.8444 14.4178i −1.82682 1.32726i
\(119\) −3.09681 0.355325i −0.283884 0.0325726i
\(120\) 2.70188 0.246646
\(121\) 8.05720 7.48876i 0.732473 0.680796i
\(122\) 30.3127 2.74438
\(123\) 19.8413 + 2.27657i 1.78903 + 0.205272i
\(124\) 10.9922 + 7.98628i 0.987127 + 0.717190i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 4.53823 6.63694i 0.404297 0.591266i
\(127\) −9.37051 8.60018i −0.831498 0.763142i 0.142477 0.989798i \(-0.454493\pi\)
−0.973975 + 0.226656i \(0.927221\pi\)
\(128\) −7.23906 7.44882i −0.639848 0.658388i
\(129\) −12.9478 4.61977i −1.13999 0.406748i
\(130\) 2.90319 + 8.93510i 0.254627 + 0.783660i
\(131\) 3.16710 3.65503i 0.276711 0.319342i −0.600334 0.799749i \(-0.704966\pi\)
0.877045 + 0.480408i \(0.159511\pi\)
\(132\) 15.2994 + 8.01125i 1.33164 + 0.697290i
\(133\) 1.45766 + 1.68222i 0.126395 + 0.145867i
\(134\) 12.9372 21.4540i 1.11760 1.85334i
\(135\) −2.52822 3.27865i −0.217594 0.282181i
\(136\) 0.972564 0.347010i 0.0833967 0.0297559i
\(137\) 3.92109 + 1.92787i 0.335001 + 0.164709i 0.600968 0.799273i \(-0.294782\pi\)
−0.265967 + 0.963982i \(0.585691\pi\)
\(138\) −14.1943 + 11.6066i −1.20830 + 0.988024i
\(139\) 3.10166 + 15.3073i 0.263079 + 1.29835i 0.865798 + 0.500393i \(0.166811\pi\)
−0.602719 + 0.797953i \(0.705916\pi\)
\(140\) 10.8584 + 0.620908i 0.917705 + 0.0524763i
\(141\) −1.32627 + 1.21724i −0.111692 + 0.102510i
\(142\) −2.86802 19.9475i −0.240679 1.67396i
\(143\) −2.42311 + 14.2688i −0.202631 + 1.19321i
\(144\) 0.299575 2.08359i 0.0249645 0.173632i
\(145\) 1.37941 + 2.01733i 0.114554 + 0.167530i
\(146\) 12.2342 + 31.4234i 1.01251 + 2.60062i
\(147\) 12.1099 15.7044i 0.998806 1.29527i
\(148\) −2.54756 + 7.84059i −0.209408 + 0.644492i
\(149\) −3.01439 4.99880i −0.246948 0.409518i 0.708035 0.706177i \(-0.249582\pi\)
−0.954983 + 0.296660i \(0.904127\pi\)
\(150\) −1.54350 + 3.96444i −0.126026 + 0.323695i
\(151\) 14.4741 3.36581i 1.17789 0.273906i 0.408542 0.912739i \(-0.366037\pi\)
0.769345 + 0.638834i \(0.220583\pi\)
\(152\) −0.679218 0.287040i −0.0550918 0.0232820i
\(153\) 0.574853 + 0.369436i 0.0464741 + 0.0298671i
\(154\) 25.2859 + 15.1397i 2.03759 + 1.21999i
\(155\) −4.33768 + 2.78766i −0.348411 + 0.223910i
\(156\) −22.3899 + 3.87472i −1.79262 + 0.310226i
\(157\) −0.243839 2.83896i −0.0194605 0.226574i −0.999600 0.0282670i \(-0.991001\pi\)
0.980140 0.198307i \(-0.0635443\pi\)
\(158\) −0.874534 + 10.1820i −0.0695742 + 0.810037i
\(159\) −14.9270 2.58322i −1.18379 0.204863i
\(160\) 7.13257 3.01425i 0.563880 0.238297i
\(161\) −14.3914 + 10.4560i −1.13420 + 0.824047i
\(162\) 20.4257 11.5349i 1.60480 0.906271i
\(163\) −0.558628 19.5545i −0.0437551 1.53163i −0.664305 0.747462i \(-0.731272\pi\)
0.620549 0.784167i \(-0.286910\pi\)
\(164\) −25.5533 + 7.50313i −1.99538 + 0.585896i
\(165\) −4.93954 + 4.30741i −0.384543 + 0.335332i
\(166\) −17.7956 5.22525i −1.38120 0.405558i
\(167\) −3.71845 + 14.1465i −0.287743 + 1.09469i 0.653492 + 0.756933i \(0.273303\pi\)
−0.941235 + 0.337753i \(0.890333\pi\)
\(168\) −2.21465 + 10.9297i −0.170864 + 0.843245i
\(169\) −2.81992 5.34434i −0.216917 0.411103i
\(170\) −0.0464302 + 1.62527i −0.00356104 + 0.124653i
\(171\) −0.124048 0.471926i −0.00948616 0.0360891i
\(172\) 18.3022 1.04656i 1.39553 0.0797995i
\(173\) 17.6663 18.1782i 1.34314 1.38206i 0.479853 0.877349i \(-0.340690\pi\)
0.863288 0.504711i \(-0.168401\pi\)
\(174\) −9.33016 + 4.58733i −0.707317 + 0.347765i
\(175\) −1.71460 + 3.75445i −0.129612 + 0.283810i
\(176\) 7.68978 + 0.636116i 0.579639 + 0.0479491i
\(177\) 9.35260 + 20.4793i 0.702984 + 1.53932i
\(178\) −21.2931 17.4113i −1.59599 1.30503i
\(179\) 4.19016 7.94123i 0.313187 0.593555i −0.676560 0.736388i \(-0.736530\pi\)
0.989747 + 0.142832i \(0.0456209\pi\)
\(180\) −2.07608 1.17241i −0.154742 0.0873866i
\(181\) −11.5331 + 1.32330i −0.857248 + 0.0983601i −0.531461 0.847083i \(-0.678357\pi\)
−0.325788 + 0.945443i \(0.605629\pi\)
\(182\) −38.5242 + 4.42024i −2.85560 + 0.327650i
\(183\) −24.2263 13.6812i −1.79086 1.01134i
\(184\) 2.75004 5.21190i 0.202735 0.384226i
\(185\) −2.42196 1.98043i −0.178066 0.145604i
\(186\) −9.11258 19.9538i −0.668167 1.46308i
\(187\) −1.22482 + 2.18489i −0.0895675 + 0.159775i
\(188\) 0.997228 2.18363i 0.0727304 0.159257i
\(189\) 15.3352 7.53981i 1.11547 0.548441i
\(190\) 0.809186 0.832633i 0.0587045 0.0604055i
\(191\) 4.07546 0.233043i 0.294890 0.0168624i 0.0909823 0.995853i \(-0.470999\pi\)
0.203908 + 0.978990i \(0.434636\pi\)
\(192\) 6.03719 + 22.9679i 0.435697 + 1.65756i
\(193\) 0.0396518 1.38799i 0.00285420 0.0999099i −0.996916 0.0784753i \(-0.974995\pi\)
0.999770 0.0214346i \(-0.00682336\pi\)
\(194\) −5.25687 9.96289i −0.377422 0.715294i
\(195\) 1.71247 8.45136i 0.122632 0.605214i
\(196\) −6.72282 + 25.5763i −0.480202 + 1.82688i
\(197\) −10.3896 3.05065i −0.740226 0.217350i −0.110184 0.993911i \(-0.535144\pi\)
−0.630042 + 0.776561i \(0.716962\pi\)
\(198\) −3.51001 5.42410i −0.249446 0.385474i
\(199\) −7.76656 + 2.28047i −0.550557 + 0.161658i −0.545167 0.838327i \(-0.683534\pi\)
−0.00538965 + 0.999985i \(0.501716\pi\)
\(200\) −0.0390449 1.36675i −0.00276089 0.0966437i
\(201\) −20.0225 + 11.3072i −1.41228 + 0.797551i
\(202\) −2.26914 + 1.64863i −0.159656 + 0.115997i
\(203\) −9.29123 + 3.92650i −0.652116 + 0.275587i
\(204\) −3.87491 0.670579i −0.271298 0.0469499i
\(205\) 0.864881 10.0696i 0.0604059 0.703294i
\(206\) 0.697751 + 8.12377i 0.0486146 + 0.566010i
\(207\) 3.84250 0.664971i 0.267072 0.0462187i
\(208\) −8.54062 + 5.48872i −0.592185 + 0.380574i
\(209\) 1.69935 0.558067i 0.117546 0.0386023i
\(210\) −14.7719 9.49332i −1.01936 0.655102i
\(211\) −21.8517 9.23460i −1.50433 0.635736i −0.527464 0.849577i \(-0.676857\pi\)
−0.976869 + 0.213841i \(0.931403\pi\)
\(212\) 19.6762 4.57550i 1.35137 0.314247i
\(213\) −6.71088 + 17.2368i −0.459822 + 1.18104i
\(214\) −9.98915 16.5651i −0.682844 1.13237i
\(215\) −2.14981 + 6.61643i −0.146616 + 0.451237i
\(216\) −3.45685 + 4.48292i −0.235209 + 0.305024i
\(217\) −7.72124 19.8319i −0.524152 1.34627i
\(218\) 11.0799 + 16.2038i 0.750425 + 1.09746i
\(219\) 4.40475 30.6357i 0.297646 2.07017i
\(220\) 3.83141 7.85500i 0.258314 0.529584i
\(221\) −0.469016 3.26208i −0.0315494 0.219431i
\(222\) 9.80596 8.99983i 0.658133 0.604029i
\(223\) 0.797394 + 0.0455966i 0.0533974 + 0.00305338i 0.0837671 0.996485i \(-0.473305\pi\)
−0.0303697 + 0.999539i \(0.509668\pi\)
\(224\) 6.34698 + 31.3236i 0.424076 + 2.09290i
\(225\) 0.700449 0.572755i 0.0466966 0.0381836i
\(226\) 18.4739 + 9.08301i 1.22887 + 0.604193i
\(227\) −25.8403 + 9.21979i −1.71508 + 0.611939i −0.996507 0.0835123i \(-0.973386\pi\)
−0.718573 + 0.695452i \(0.755204\pi\)
\(228\) 1.71479 + 2.22378i 0.113565 + 0.147274i
\(229\) 13.2145 21.9138i 0.873240 1.44811i −0.0206344 0.999787i \(-0.506569\pi\)
0.893874 0.448318i \(-0.147977\pi\)
\(230\) 6.07636 + 7.01250i 0.400664 + 0.462390i
\(231\) −13.3757 23.5122i −0.880055 1.54699i
\(232\) 2.18821 2.52533i 0.143663 0.165796i
\(233\) −0.746415 2.29723i −0.0488993 0.150496i 0.923625 0.383296i \(-0.125211\pi\)
−0.972525 + 0.232800i \(0.925211\pi\)
\(234\) 8.00624 + 2.85662i 0.523384 + 0.186743i
\(235\) 0.634908 + 0.653305i 0.0414168 + 0.0426169i
\(236\) −22.1188 20.3004i −1.43981 1.32144i
\(237\) 5.29445 7.74288i 0.343911 0.502954i
\(238\) −6.53653 1.52001i −0.423701 0.0985273i
\(239\) −14.2209 10.3321i −0.919876 0.668329i 0.0236172 0.999721i \(-0.492482\pi\)
−0.943493 + 0.331392i \(0.892482\pi\)
\(240\) −4.56729 0.524047i −0.294817 0.0338271i
\(241\) −12.6456 −0.814574 −0.407287 0.913300i \(-0.633525\pi\)
−0.407287 + 0.913300i \(0.633525\pi\)
\(242\) 19.0713 14.0403i 1.22595 0.902544i
\(243\) −9.10996 −0.584405
\(244\) 36.8596 + 4.22925i 2.35969 + 0.270750i
\(245\) −8.11908 5.89886i −0.518709 0.376864i
\(246\) 41.8796 + 9.73869i 2.67015 + 0.620916i
\(247\) −1.32834 + 1.94264i −0.0845203 + 0.123607i
\(248\) 5.19411 + 4.76711i 0.329826 + 0.302712i
\(249\) 11.8641 + 12.2079i 0.751856 + 0.773641i
\(250\) 2.02772 + 0.723490i 0.128244 + 0.0457575i
\(251\) 1.17493 + 3.61605i 0.0741607 + 0.228243i 0.981265 0.192663i \(-0.0617123\pi\)
−0.907104 + 0.420906i \(0.861712\pi\)
\(252\) 6.44438 7.43722i 0.405958 0.468501i
\(253\) 3.28138 + 13.9125i 0.206299 + 0.874674i
\(254\) −17.9319 20.6945i −1.12515 1.29849i
\(255\) 0.770651 1.27798i 0.0482600 0.0800302i
\(256\) 1.02188 + 1.32520i 0.0638675 + 0.0828249i
\(257\) −7.53788 + 2.68951i −0.470200 + 0.167767i −0.560512 0.828147i \(-0.689396\pi\)
0.0903116 + 0.995914i \(0.471214\pi\)
\(258\) −26.5602 13.0588i −1.65357 0.813004i
\(259\) 9.99648 8.17408i 0.621151 0.507913i
\(260\) 2.28359 + 11.2700i 0.141622 + 0.698933i
\(261\) 2.20761 + 0.126236i 0.136648 + 0.00781379i
\(262\) 7.67109 7.04047i 0.473922 0.434961i
\(263\) −1.14225 7.94449i −0.0704339 0.489879i −0.994254 0.107051i \(-0.965859\pi\)
0.923820 0.382828i \(-0.125050\pi\)
\(264\) 7.41302 + 5.03475i 0.456240 + 0.309867i
\(265\) −1.09102 + 7.58818i −0.0670205 + 0.466138i
\(266\) 2.70493 + 3.95583i 0.165850 + 0.242547i
\(267\) 9.15937 + 23.5257i 0.560544 + 1.43975i
\(268\) 18.7247 24.2826i 1.14379 1.48329i
\(269\) −1.42408 + 4.38286i −0.0868275 + 0.267228i −0.985038 0.172338i \(-0.944868\pi\)
0.898210 + 0.439566i \(0.144868\pi\)
\(270\) −4.60296 7.63315i −0.280127 0.464539i
\(271\) −7.27582 + 18.6878i −0.441974 + 1.13520i 0.518066 + 0.855341i \(0.326652\pi\)
−0.960040 + 0.279862i \(0.909711\pi\)
\(272\) −1.71134 + 0.397955i −0.103765 + 0.0241296i
\(273\) 32.7840 + 13.8546i 1.98418 + 0.838521i
\(274\) 7.91366 + 5.08580i 0.478082 + 0.307244i
\(275\) 2.25029 + 2.43643i 0.135698 + 0.146922i
\(276\) −18.8794 + 12.1331i −1.13641 + 0.730324i
\(277\) −15.6855 + 2.71447i −0.942447 + 0.163097i −0.620982 0.783825i \(-0.713266\pi\)
−0.321465 + 0.946921i \(0.604175\pi\)
\(278\) 2.87747 + 33.5018i 0.172579 + 2.00931i
\(279\) −0.399240 + 4.64826i −0.0239018 + 0.278284i
\(280\) 5.56081 + 0.962336i 0.332322 + 0.0575106i
\(281\) 8.03264 3.39462i 0.479187 0.202506i −0.136277 0.990671i \(-0.543514\pi\)
0.615465 + 0.788164i \(0.288968\pi\)
\(282\) −3.13548 + 2.27806i −0.186715 + 0.135656i
\(283\) 18.8733 10.6582i 1.12190 0.633566i 0.184851 0.982766i \(-0.440820\pi\)
0.937048 + 0.349201i \(0.113547\pi\)
\(284\) −0.704364 24.6560i −0.0417963 1.46306i
\(285\) −1.02251 + 0.300236i −0.0605682 + 0.0177844i
\(286\) −8.68454 + 29.9247i −0.513528 + 1.76949i
\(287\) 40.0250 + 11.7524i 2.36260 + 0.693723i
\(288\) 1.78111 6.77606i 0.104953 0.399283i
\(289\) −3.26277 + 16.1024i −0.191928 + 0.947200i
\(290\) 2.45534 + 4.65338i 0.144182 + 0.273256i
\(291\) −0.295249 + 10.3351i −0.0173078 + 0.605853i
\(292\) 10.4924 + 39.9172i 0.614020 + 2.33597i
\(293\) 15.5255 0.887779i 0.907008 0.0518646i 0.402645 0.915356i \(-0.368091\pi\)
0.504363 + 0.863492i \(0.331727\pi\)
\(294\) 29.7558 30.6180i 1.73540 1.78568i
\(295\) 10.2243 5.02697i 0.595284 0.292682i
\(296\) −1.77703 + 3.89115i −0.103288 + 0.226168i
\(297\) −0.827036 13.7066i −0.0479895 0.795340i
\(298\) −5.22067 11.4317i −0.302425 0.662219i
\(299\) −14.5596 11.9053i −0.842004 0.688504i
\(300\) −2.42998 + 4.60533i −0.140295 + 0.265889i
\(301\) −25.0028 14.1198i −1.44114 0.813849i
\(302\) 31.7846 3.64694i 1.82900 0.209858i
\(303\) 2.55761 0.293458i 0.146931 0.0168587i
\(304\) 1.09248 + 0.616954i 0.0626583 + 0.0353848i
\(305\) −6.57056 + 12.4526i −0.376229 + 0.713034i
\(306\) 1.13888 + 0.931261i 0.0651057 + 0.0532366i
\(307\) −3.05405 6.68744i −0.174304 0.381673i 0.802236 0.597006i \(-0.203643\pi\)
−0.976540 + 0.215334i \(0.930916\pi\)
\(308\) 28.6348 + 21.9374i 1.63162 + 1.25000i
\(309\) 3.10890 6.80754i 0.176859 0.387267i
\(310\) −9.96196 + 4.89797i −0.565801 + 0.278186i
\(311\) 12.2056 12.5593i 0.692119 0.712173i −0.276420 0.961037i \(-0.589148\pi\)
0.968539 + 0.248864i \(0.0800571\pi\)
\(312\) −11.7712 + 0.673101i −0.666413 + 0.0381069i
\(313\) 3.99222 + 15.1880i 0.225654 + 0.858476i 0.979503 + 0.201429i \(0.0645584\pi\)
−0.753850 + 0.657047i \(0.771805\pi\)
\(314\) 0.175180 6.13208i 0.00988595 0.346053i
\(315\) 1.74279 + 3.30295i 0.0981949 + 0.186100i
\(316\) −2.48402 + 12.2591i −0.139737 + 0.689629i
\(317\) −1.94797 + 7.41084i −0.109409 + 0.416234i −0.999194 0.0401455i \(-0.987218\pi\)
0.889785 + 0.456380i \(0.150854\pi\)
\(318\) −31.2933 9.18854i −1.75484 0.515268i
\(319\) 0.0254946 + 8.10530i 0.00142742 + 0.453809i
\(320\) 11.5311 3.38583i 0.644607 0.189274i
\(321\) 0.507006 + 17.7475i 0.0282983 + 0.990570i
\(322\) −33.3478 + 18.8323i −1.85840 + 1.04949i
\(323\) −0.329501 + 0.239396i −0.0183339 + 0.0133204i
\(324\) 26.4466 11.1764i 1.46926 0.620914i
\(325\) −4.29988 0.744123i −0.238514 0.0412765i
\(326\) 3.60413 41.9622i 0.199614 2.32407i
\(327\) −1.54182 17.9510i −0.0852627 0.992695i
\(328\) −13.6166 + 2.35644i −0.751849 + 0.130113i
\(329\) −3.16318 + 2.03285i −0.174392 + 0.112075i
\(330\) −11.6223 + 8.00086i −0.639784 + 0.440433i
\(331\) 7.04173 + 4.52544i 0.387048 + 0.248741i 0.719665 0.694321i \(-0.244295\pi\)
−0.332617 + 0.943062i \(0.607932\pi\)
\(332\) −20.9100 8.83664i −1.14759 0.484974i
\(333\) −2.75719 + 0.641157i −0.151093 + 0.0351352i
\(334\) −11.4251 + 29.3452i −0.625155 + 1.60570i
\(335\) 6.00913 + 9.96502i 0.328314 + 0.544447i
\(336\) 5.86356 18.0462i 0.319883 0.984499i
\(337\) 9.77952 12.6823i 0.532724 0.690849i −0.446232 0.894917i \(-0.647235\pi\)
0.978957 + 0.204068i \(0.0654164\pi\)
\(338\) −4.71992 12.1230i −0.256730 0.659405i
\(339\) −10.6651 15.5972i −0.579248 0.847123i
\(340\) −0.283217 + 1.96982i −0.0153596 + 0.106828i
\(341\) −17.0957 0.434572i −0.925783 0.0235334i
\(342\) −0.149507 1.03984i −0.00808440 0.0562283i
\(343\) 9.23122 8.47234i 0.498439 0.457463i
\(344\) 9.49673 + 0.543043i 0.512029 + 0.0292789i
\(345\) −1.69131 8.34696i −0.0910572 0.449385i
\(346\) 42.2474 34.5456i 2.27124 1.85718i
\(347\) 23.3558 + 11.4833i 1.25381 + 0.616455i 0.942611 0.333892i \(-0.108362\pi\)
0.311194 + 0.950346i \(0.399271\pi\)
\(348\) −11.9853 + 4.27635i −0.642480 + 0.229236i
\(349\) 7.24353 + 9.39358i 0.387737 + 0.502827i 0.944802 0.327643i \(-0.106254\pi\)
−0.557064 + 0.830469i \(0.688072\pi\)
\(350\) −4.58874 + 7.60958i −0.245279 + 0.406749i
\(351\) 11.8314 + 13.6542i 0.631514 + 0.728806i
\(352\) 25.1862 + 5.02096i 1.34243 + 0.267618i
\(353\) 22.6005 26.0824i 1.20291 1.38823i 0.302515 0.953145i \(-0.402174\pi\)
0.900390 0.435083i \(-0.143281\pi\)
\(354\) 14.9783 + 46.0984i 0.796086 + 2.45010i
\(355\) 8.81622 + 3.14562i 0.467916 + 0.166952i
\(356\) −23.4628 24.1426i −1.24352 1.27956i
\(357\) 4.53804 + 4.16498i 0.240179 + 0.220434i
\(358\) 10.9112 15.9571i 0.576675 0.843360i
\(359\) 17.5251 + 4.07529i 0.924941 + 0.215086i 0.661808 0.749674i \(-0.269790\pi\)
0.263133 + 0.964759i \(0.415244\pi\)
\(360\) −1.00087 0.727178i −0.0527507 0.0383256i
\(361\) −18.5872 2.13268i −0.978274 0.112247i
\(362\) −24.9928 −1.31359
\(363\) −21.5789 + 2.61359i −1.13260 + 0.137178i
\(364\) −47.4614 −2.48765
\(365\) −15.5608 1.78543i −0.814488 0.0934538i
\(366\) −48.4598 35.2081i −2.53303 1.84036i
\(367\) 28.6764 + 6.66842i 1.49690 + 0.348089i 0.893395 0.449272i \(-0.148317\pi\)
0.603503 + 0.797361i \(0.293771\pi\)
\(368\) −5.65958 + 8.27687i −0.295026 + 0.431462i
\(369\) −6.73722 6.18337i −0.350726 0.321893i
\(370\) −4.69428 4.83031i −0.244044 0.251116i
\(371\) −29.8016 10.6332i −1.54722 0.552049i
\(372\) −8.29676 25.5348i −0.430167 1.32392i
\(373\) −8.62971 + 9.95922i −0.446830 + 0.515669i −0.933822 0.357737i \(-0.883548\pi\)
0.486993 + 0.873406i \(0.338094\pi\)
\(374\) −3.15596 + 4.37266i −0.163191 + 0.226105i
\(375\) −1.29404 1.49341i −0.0668241 0.0771191i
\(376\) 0.643230 1.06668i 0.0331721 0.0550097i
\(377\) −6.51223 8.44520i −0.335397 0.434950i
\(378\) 34.6507 12.3634i 1.78224 0.635902i
\(379\) −5.07683 2.49611i −0.260779 0.128216i 0.306149 0.951983i \(-0.400959\pi\)
−0.566928 + 0.823767i \(0.691868\pi\)
\(380\) 1.10012 0.899567i 0.0564352 0.0461468i
\(381\) 4.99122 + 24.6326i 0.255708 + 1.26197i
\(382\) 8.77417 + 0.501725i 0.448926 + 0.0256705i
\(383\) −0.570139 + 0.523269i −0.0291327 + 0.0267378i −0.690609 0.723228i \(-0.742657\pi\)
0.661476 + 0.749966i \(0.269930\pi\)
\(384\) 2.92104 + 20.3163i 0.149064 + 1.03676i
\(385\) −11.7004 + 7.10588i −0.596308 + 0.362149i
\(386\) 0.425445 2.95904i 0.0216546 0.150611i
\(387\) 3.55299 + 5.19608i 0.180609 + 0.264132i
\(388\) −5.00223 12.8481i −0.253950 0.652264i
\(389\) −8.65474 + 11.2237i −0.438813 + 0.569062i −0.958427 0.285339i \(-0.907894\pi\)
0.519614 + 0.854401i \(0.326076\pi\)
\(390\) 5.73687 17.6563i 0.290498 0.894061i
\(391\) −1.68083 2.78734i −0.0850031 0.140962i
\(392\) −4.97842 + 12.7870i −0.251448 + 0.645839i
\(393\) −9.30845 + 2.16459i −0.469549 + 0.109189i
\(394\) −21.4735 9.07477i −1.08182 0.457180i
\(395\) −3.99326 2.56631i −0.200923 0.129125i
\(396\) −3.51133 7.08532i −0.176451 0.356051i
\(397\) 5.76120 3.70250i 0.289146 0.185823i −0.388024 0.921649i \(-0.626842\pi\)
0.677170 + 0.735826i \(0.263206\pi\)
\(398\) −17.1715 + 2.97164i −0.860729 + 0.148955i
\(399\) −0.376403 4.38238i −0.0188437 0.219393i
\(400\) −0.199088 + 2.31794i −0.00995441 + 0.115897i
\(401\) 21.9306 + 3.79524i 1.09516 + 0.189525i 0.689347 0.724431i \(-0.257897\pi\)
0.405813 + 0.913956i \(0.366988\pi\)
\(402\) −45.6010 + 19.2711i −2.27437 + 0.961157i
\(403\) 18.2034 13.2255i 0.906775 0.658810i
\(404\) −2.98925 + 1.68811i −0.148721 + 0.0839864i
\(405\) 0.311139 + 10.8913i 0.0154606 + 0.541193i
\(406\) −20.8366 + 6.11817i −1.03410 + 0.303639i
\(407\) −2.95464 9.94675i −0.146456 0.493042i
\(408\) −1.95786 0.574879i −0.0969283 0.0284607i
\(409\) −5.59742 + 21.2948i −0.276775 + 1.05296i 0.672903 + 0.739731i \(0.265047\pi\)
−0.949677 + 0.313229i \(0.898589\pi\)
\(410\) 4.32113 21.3256i 0.213405 1.05320i
\(411\) −4.02929 7.63635i −0.198750 0.376673i
\(412\) −0.284983 + 9.97569i −0.0140401 + 0.491467i
\(413\) 11.9547 + 45.4803i 0.588251 + 2.23794i
\(414\) 8.38189 0.479294i 0.411948 0.0235560i
\(415\) 6.00391 6.17788i 0.294721 0.303260i
\(416\) −30.3234 + 14.9090i −1.48673 + 0.730974i
\(417\) 12.8209 28.0738i 0.627840 1.37478i
\(418\) 3.77168 0.776599i 0.184479 0.0379847i
\(419\) 10.7511 + 23.5417i 0.525227 + 1.15009i 0.967422 + 0.253168i \(0.0814726\pi\)
−0.442195 + 0.896919i \(0.645800\pi\)
\(420\) −16.6378 13.6047i −0.811842 0.663840i
\(421\) −6.00175 + 11.3746i −0.292508 + 0.554363i −0.986130 0.165975i \(-0.946923\pi\)
0.693622 + 0.720339i \(0.256014\pi\)
\(422\) −44.4721 25.1146i −2.16487 1.22256i
\(423\) 0.818904 0.0939605i 0.0398165 0.00456851i
\(424\) 10.4137 1.19486i 0.505735 0.0580277i
\(425\) −0.657605 0.371367i −0.0318985 0.0180139i
\(426\) −18.5840 + 35.2206i −0.900399 + 1.70645i
\(427\) −44.9879 36.7864i −2.17712 1.78022i
\(428\) −9.83542 21.5366i −0.475413 1.04101i
\(429\) 20.4469 19.9966i 0.987185 0.965443i
\(430\) −6.22198 + 13.6242i −0.300051 + 0.657019i
\(431\) −24.3817 + 11.9877i −1.17443 + 0.577426i −0.920860 0.389892i \(-0.872512\pi\)
−0.253565 + 0.967318i \(0.581603\pi\)
\(432\) 6.71299 6.90750i 0.322979 0.332337i
\(433\) 31.2610 1.78757i 1.50231 0.0859050i 0.713547 0.700607i \(-0.247087\pi\)
0.788759 + 0.614702i \(0.210724\pi\)
\(434\) −11.6479 44.3131i −0.559116 2.12710i
\(435\) 0.137903 4.82722i 0.00661193 0.231448i
\(436\) 11.2122 + 21.2494i 0.536965 + 1.01766i
\(437\) −0.461583 + 2.27800i −0.0220805 + 0.108972i
\(438\) 16.9398 64.4455i 0.809413 3.07933i
\(439\) 35.0792 + 10.3002i 1.67424 + 0.491601i 0.974798 0.223090i \(-0.0716143\pi\)
0.699441 + 0.714691i \(0.253432\pi\)
\(440\) 2.43971 3.82264i 0.116309 0.182237i
\(441\) −8.71259 + 2.55825i −0.414885 + 0.121821i
\(442\) −0.202612 7.09234i −0.00963726 0.337348i
\(443\) 3.16311 1.78629i 0.150284 0.0848693i −0.414757 0.909932i \(-0.636133\pi\)
0.565041 + 0.825063i \(0.308861\pi\)
\(444\) 13.1795 9.57548i 0.625472 0.454432i
\(445\) 11.7681 4.97325i 0.557863 0.235755i
\(446\) 1.69435 + 0.293219i 0.0802298 + 0.0138843i
\(447\) −0.987101 + 11.4926i −0.0466883 + 0.543582i
\(448\) 4.24478 + 49.4211i 0.200547 + 2.33493i
\(449\) −6.20420 + 1.07368i −0.292794 + 0.0506700i −0.315027 0.949083i \(-0.602013\pi\)
0.0222325 + 0.999753i \(0.492923\pi\)
\(450\) 1.63875 1.05316i 0.0772514 0.0496464i
\(451\) 21.1369 26.0160i 0.995300 1.22504i
\(452\) 21.1966 + 13.6222i 0.997006 + 0.640737i
\(453\) −27.0486 11.4309i −1.27086 0.537068i
\(454\) −57.5323 + 13.3786i −2.70012 + 0.627887i
\(455\) 6.53463 16.7841i 0.306348 0.786849i
\(456\) 0.752445 + 1.24779i 0.0352365 + 0.0584331i
\(457\) 12.0703 37.1487i 0.564627 1.73774i −0.104431 0.994532i \(-0.533302\pi\)
0.669058 0.743210i \(-0.266698\pi\)
\(458\) 33.6424 43.6283i 1.57201 2.03861i
\(459\) 1.13442 + 2.91373i 0.0529502 + 0.136001i
\(460\) 6.41035 + 9.37484i 0.298884 + 0.437104i
\(461\) −4.85544 + 33.7703i −0.226140 + 1.57284i 0.488003 + 0.872842i \(0.337726\pi\)
−0.714143 + 0.699999i \(0.753184\pi\)
\(462\) −22.8389 53.5727i −1.06256 2.49243i
\(463\) 2.48188 + 17.2619i 0.115343 + 0.802226i 0.962577 + 0.271007i \(0.0873568\pi\)
−0.847235 + 0.531219i \(0.821734\pi\)
\(464\) −4.18878 + 3.84443i −0.194459 + 0.178473i
\(465\) 10.1724 + 0.581676i 0.471731 + 0.0269746i
\(466\) −1.03273 5.09671i −0.0478401 0.236100i
\(467\) 3.60513 2.94790i 0.166826 0.136413i −0.545914 0.837841i \(-0.683818\pi\)
0.712740 + 0.701428i \(0.247454\pi\)
\(468\) 9.33687 + 4.59063i 0.431597 + 0.212202i
\(469\) −45.2363 + 16.1403i −2.08882 + 0.745289i
\(470\) 1.19767 + 1.55316i 0.0552443 + 0.0716421i
\(471\) −2.90764 + 4.82177i −0.133977 + 0.222176i
\(472\) −10.2015 11.7732i −0.469563 0.541905i
\(473\) −18.2276 + 14.1472i −0.838104 + 0.650489i
\(474\) 13.2245 15.2619i 0.607420 0.701000i
\(475\) 0.166651 + 0.512899i 0.00764647 + 0.0235334i
\(476\) −7.73622 2.76028i −0.354589 0.126517i
\(477\) 4.83427 + 4.97435i 0.221346 + 0.227760i
\(478\) −27.8814 25.5893i −1.27527 1.17043i
\(479\) −3.02927 + 4.43016i −0.138411 + 0.202419i −0.888449 0.458975i \(-0.848217\pi\)
0.750038 + 0.661394i \(0.230035\pi\)
\(480\) −14.9036 3.46569i −0.680255 0.158187i
\(481\) 11.0451 + 8.02470i 0.503611 + 0.365895i
\(482\) −27.0476 3.10342i −1.23198 0.141357i
\(483\) 35.1517 1.59946
\(484\) 25.1493 14.4119i 1.14315 0.655085i
\(485\) 5.23228 0.237586
\(486\) −19.4852 2.23572i −0.883868 0.101414i
\(487\) 18.1115 + 13.1588i 0.820712 + 0.596282i 0.916916 0.399079i \(-0.130670\pi\)
−0.0962041 + 0.995362i \(0.530670\pi\)
\(488\) 18.7510 + 4.36036i 0.848819 + 0.197384i
\(489\) −21.8195 + 31.9100i −0.986712 + 1.44302i
\(490\) −15.9182 14.6096i −0.719110 0.659993i
\(491\) 23.0822 + 23.7510i 1.04168 + 1.07187i 0.997343 + 0.0728502i \(0.0232095\pi\)
0.0443404 + 0.999016i \(0.485881\pi\)
\(492\) 49.5661 + 17.6851i 2.23461 + 0.797307i
\(493\) −0.570336 1.75531i −0.0256866 0.0790553i
\(494\) −3.31793 + 3.82910i −0.149281 + 0.172279i
\(495\) 2.98908 0.266206i 0.134349 0.0119651i
\(496\) −7.85557 9.06581i −0.352726 0.407067i
\(497\) −19.9511 + 33.0853i −0.894931 + 1.48408i
\(498\) 22.3800 + 29.0229i 1.00287 + 1.30055i
\(499\) 19.6314 7.00445i 0.878820 0.313562i 0.142175 0.989842i \(-0.454591\pi\)
0.736645 + 0.676279i \(0.236409\pi\)
\(500\) 2.36473 + 1.16266i 0.105754 + 0.0519956i
\(501\) 22.3757 18.2965i 0.999671 0.817427i
\(502\) 1.62561 + 8.02270i 0.0725545 + 0.358070i
\(503\) −28.1513 1.60975i −1.25520 0.0717751i −0.583203 0.812326i \(-0.698201\pi\)
−0.672000 + 0.740551i \(0.734564\pi\)
\(504\) 3.76199 3.45272i 0.167572 0.153796i
\(505\) −0.185406 1.28953i −0.00825048 0.0573833i
\(506\) 3.60418 + 30.5627i 0.160225 + 1.35868i
\(507\) −1.69934 + 11.8191i −0.0754701 + 0.524906i
\(508\) −18.9175 27.6660i −0.839329 1.22748i
\(509\) −1.85478 4.76396i −0.0822116 0.211159i 0.884758 0.466051i \(-0.154324\pi\)
−0.966969 + 0.254892i \(0.917960\pi\)
\(510\) 1.96197 2.54433i 0.0868777 0.112665i
\(511\) 19.9772 61.4834i 0.883738 2.71987i
\(512\) 12.5881 + 20.8750i 0.556319 + 0.922552i
\(513\) 0.810076 2.08066i 0.0357657 0.0918635i
\(514\) −16.7828 + 3.90266i −0.740256 + 0.172139i
\(515\) −3.48853 1.47426i −0.153723 0.0649639i
\(516\) −30.4747 19.5849i −1.34158 0.862178i
\(517\) 0.524583 + 2.97555i 0.0230712 + 0.130864i
\(518\) 23.3875 15.0302i 1.02759 0.660389i
\(519\) −49.3563 + 8.54145i −2.16650 + 0.374928i
\(520\) 0.510595 + 5.94475i 0.0223911 + 0.260695i
\(521\) 1.45182 16.9032i 0.0636052 0.740542i −0.893171 0.449717i \(-0.851525\pi\)
0.956776 0.290825i \(-0.0939298\pi\)
\(522\) 4.69086 + 0.811785i 0.205313 + 0.0355309i
\(523\) 20.3021 8.57976i 0.887751 0.375167i 0.102783 0.994704i \(-0.467225\pi\)
0.784967 + 0.619537i \(0.212680\pi\)
\(524\) 10.3102 7.49079i 0.450403 0.327237i
\(525\) 7.10185 4.01060i 0.309950 0.175037i
\(526\) −0.493443 17.2727i −0.0215151 0.753128i
\(527\) 3.73633 1.09709i 0.162757 0.0477899i
\(528\) −11.5545 9.94860i −0.502847 0.432957i
\(529\) 4.24566 + 1.24664i 0.184594 + 0.0542016i
\(530\) −4.19582 + 15.9626i −0.182255 + 0.693369i
\(531\) 2.04722 10.1034i 0.0888419 0.438452i
\(532\) 2.73722 + 5.18760i 0.118673 + 0.224911i
\(533\) −1.25942 + 44.0856i −0.0545517 + 1.90956i
\(534\) 13.8174 + 52.5667i 0.597936 + 2.27478i
\(535\) 8.97028 0.512939i 0.387819 0.0221763i
\(536\) 11.0889 11.4102i 0.478966 0.492844i
\(537\) −15.9224 + 7.82851i −0.687102 + 0.337825i
\(538\) −4.12157 + 9.02497i −0.177693 + 0.389094i
\(539\) −11.2839 31.3137i −0.486031 1.34878i
\(540\) −4.53212 9.92396i −0.195031 0.427059i
\(541\) −19.1344 15.6461i −0.822653 0.672680i 0.124939 0.992164i \(-0.460127\pi\)
−0.947591 + 0.319485i \(0.896490\pi\)
\(542\) −20.1485 + 38.1856i −0.865451 + 1.64021i
\(543\) 19.9746 + 11.2802i 0.857191 + 0.484078i
\(544\) −5.80981 + 0.666613i −0.249094 + 0.0285808i
\(545\) −9.05828 + 1.03934i −0.388014 + 0.0445205i
\(546\) 66.7214 + 37.6793i 2.85541 + 1.61252i
\(547\) −3.72981 + 7.06878i −0.159475 + 0.302239i −0.951164 0.308685i \(-0.900111\pi\)
0.791689 + 0.610924i \(0.209202\pi\)
\(548\) 8.91328 + 7.28835i 0.380756 + 0.311343i
\(549\) 5.29217 + 11.5882i 0.225864 + 0.494573i
\(550\) 4.21520 + 5.76351i 0.179737 + 0.245757i
\(551\) −0.547498 + 1.19885i −0.0233242 + 0.0510728i
\(552\) −10.4500 + 5.13792i −0.444782 + 0.218684i
\(553\) 13.6545 14.0501i 0.580647 0.597472i
\(554\) −34.2157 + 1.95652i −1.45368 + 0.0831247i
\(555\) 1.57164 + 5.97914i 0.0667124 + 0.253800i
\(556\) −1.17525 + 41.1390i −0.0498416 + 1.74468i
\(557\) −6.45529 12.2341i −0.273519 0.518377i 0.708843 0.705367i \(-0.249218\pi\)
−0.982362 + 0.186990i \(0.940127\pi\)
\(558\) −1.99468 + 9.84416i −0.0844417 + 0.416736i
\(559\) 7.71771 29.3612i 0.326424 1.24185i
\(560\) −9.21341 2.70530i −0.389338 0.114320i
\(561\) 4.49582 2.07029i 0.189814 0.0874076i
\(562\) 18.0141 5.28940i 0.759877 0.223120i
\(563\) 0.0174821 + 0.611952i 0.000736781 + 0.0257907i 0.999877 0.0156583i \(-0.00498440\pi\)
−0.999141 + 0.0414490i \(0.986803\pi\)
\(564\) −4.13051 + 2.33261i −0.173926 + 0.0982205i
\(565\) −7.73574 + 5.62034i −0.325445 + 0.236450i
\(566\) 42.9836 18.1650i 1.80673 0.763533i
\(567\) −44.3128 7.66864i −1.86096 0.322053i
\(568\) 1.09526 12.7518i 0.0459559 0.535055i
\(569\) 0.659398 + 7.67723i 0.0276434 + 0.321846i 0.997072 + 0.0764716i \(0.0243655\pi\)
−0.969428 + 0.245374i \(0.921089\pi\)
\(570\) −2.26072 + 0.391233i −0.0946911 + 0.0163869i
\(571\) 26.7264 17.1760i 1.11847 0.718795i 0.155345 0.987860i \(-0.450351\pi\)
0.963122 + 0.269066i \(0.0867148\pi\)
\(572\) −14.7353 + 35.1762i −0.616116 + 1.47079i
\(573\) −6.78598 4.36108i −0.283488 0.182187i
\(574\) 82.7251 + 34.9599i 3.45288 + 1.45920i
\(575\) −4.19788 + 0.976175i −0.175064 + 0.0407093i
\(576\) 3.94513 10.1330i 0.164380 0.422207i
\(577\) 6.20292 + 10.2864i 0.258231 + 0.428228i 0.958265 0.285881i \(-0.0922863\pi\)
−0.700034 + 0.714110i \(0.746832\pi\)
\(578\) −10.9305 + 33.6406i −0.454648 + 1.39926i
\(579\) −1.67554 + 2.17288i −0.0696331 + 0.0903018i
\(580\) 2.33640 + 6.00099i 0.0970137 + 0.249178i
\(581\) 20.0697 + 29.3510i 0.832632 + 1.21769i
\(582\) −3.16789 + 22.0332i −0.131313 + 0.913304i
\(583\) −17.1334 + 18.7863i −0.709592 + 0.778050i
\(584\) 3.04781 + 21.1979i 0.126119 + 0.877177i
\(585\) −2.90894 + 2.66980i −0.120270 + 0.110383i
\(586\) 33.4252 + 1.91132i 1.38078 + 0.0789560i
\(587\) 3.37007 + 16.6319i 0.139097 + 0.686473i 0.987563 + 0.157223i \(0.0502541\pi\)
−0.848466 + 0.529250i \(0.822473\pi\)
\(588\) 40.4543 33.0794i 1.66831 1.36417i
\(589\) −2.49541 1.22691i −0.102821 0.0505539i
\(590\) 23.1025 8.24295i 0.951114 0.339357i
\(591\) 13.0661 + 16.9444i 0.537468 + 0.697000i
\(592\) 3.75862 6.23298i 0.154479 0.256174i
\(593\) 21.8879 + 25.2600i 0.898829 + 1.03730i 0.999103 + 0.0423445i \(0.0134827\pi\)
−0.100274 + 0.994960i \(0.531972\pi\)
\(594\) 1.59487 29.5200i 0.0654385 1.21122i
\(595\) 2.04128 2.35576i 0.0836844 0.0965769i
\(596\) −4.75327 14.6291i −0.194702 0.599230i
\(597\) 15.0649 + 5.37514i 0.616565 + 0.219990i
\(598\) −28.2197 29.0374i −1.15399 1.18743i
\(599\) 32.8100 + 30.1127i 1.34058 + 1.23037i 0.950929 + 0.309410i \(0.100132\pi\)
0.389651 + 0.920963i \(0.372596\pi\)
\(600\) −1.52506 + 2.23032i −0.0622601 + 0.0910525i
\(601\) 23.6322 + 5.49544i 0.963978 + 0.224164i 0.678810 0.734314i \(-0.262496\pi\)
0.285168 + 0.958477i \(0.407950\pi\)
\(602\) −50.0132 36.3367i −2.03839 1.48097i
\(603\) 10.4603 + 1.20021i 0.425976 + 0.0488762i
\(604\) 39.1583 1.59333
\(605\) 1.63393 + 10.8780i 0.0664286 + 0.442252i
\(606\) 5.54247 0.225148
\(607\) 28.1665 + 3.23181i 1.14324 + 0.131175i 0.664854 0.746973i \(-0.268494\pi\)
0.478389 + 0.878148i \(0.341221\pi\)
\(608\) 3.37840 + 2.45455i 0.137012 + 0.0995453i
\(609\) 19.4142 + 4.51458i 0.786702 + 0.182940i
\(610\) −17.1098 + 25.0223i −0.692755 + 1.01312i
\(611\) −2.92884 2.68806i −0.118488 0.108747i
\(612\) 1.25493 + 1.29129i 0.0507275 + 0.0521974i
\(613\) −31.4809 11.2323i −1.27150 0.453670i −0.387809 0.921740i \(-0.626768\pi\)
−0.883692 + 0.468070i \(0.844950\pi\)
\(614\) −4.89109 15.0532i −0.197388 0.607499i
\(615\) −13.0785 + 15.0934i −0.527377 + 0.608625i
\(616\) 13.4637 + 13.0025i 0.542468 + 0.523885i
\(617\) 10.0458 + 11.5935i 0.404430 + 0.466737i 0.921031 0.389489i \(-0.127348\pi\)
−0.516601 + 0.856226i \(0.672803\pi\)
\(618\) 8.32027 13.7976i 0.334690 0.555022i
\(619\) −23.6677 30.6928i −0.951285 1.23365i −0.972268 0.233869i \(-0.924861\pi\)
0.0209831 0.999780i \(-0.493320\pi\)
\(620\) −12.7969 + 4.56593i −0.513936 + 0.183372i
\(621\) 16.0131 + 7.87310i 0.642582 + 0.315937i
\(622\) 29.1888 23.8676i 1.17036 0.957003i
\(623\) 10.4720 + 51.6812i 0.419550 + 2.07056i
\(624\) 20.0287 + 1.14528i 0.801791 + 0.0458481i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 4.81157 + 33.4652i 0.192309 + 1.33754i
\(627\) −3.36488 1.08163i −0.134380 0.0431960i
\(628\) 1.06857 7.43205i 0.0426405 0.296571i
\(629\) 1.33365 + 1.95039i 0.0531759 + 0.0777673i
\(630\) 2.91704 + 7.49236i 0.116218 + 0.298503i
\(631\) −15.2369 + 19.7596i −0.606573 + 0.786617i −0.990613 0.136699i \(-0.956351\pi\)
0.384040 + 0.923316i \(0.374532\pi\)
\(632\) −2.00562 + 6.17266i −0.0797792 + 0.245535i
\(633\) 24.2076 + 40.1437i 0.962164 + 1.59557i
\(634\) −5.98523 + 15.3729i −0.237704 + 0.610537i
\(635\) 12.3883 2.88078i 0.491616 0.114320i
\(636\) −36.7700 15.5392i −1.45803 0.616167i
\(637\) 36.8417 + 23.6767i 1.45972 + 0.938107i
\(638\) −1.93463 + 17.3426i −0.0765928 + 0.686601i
\(639\) 7.12503 4.57898i 0.281862 0.181142i
\(640\) 10.2348 1.77121i 0.404567 0.0700131i
\(641\) −1.70811 19.8872i −0.0674664 0.785497i −0.949389 0.314103i \(-0.898296\pi\)
0.881923 0.471394i \(-0.156249\pi\)
\(642\) −3.27108 + 38.0845i −0.129099 + 1.50307i
\(643\) −45.1820 7.81906i −1.78180 0.308353i −0.818051 0.575146i \(-0.804945\pi\)
−0.963754 + 0.266792i \(0.914036\pi\)
\(644\) −43.1777 + 18.2471i −1.70144 + 0.719035i
\(645\) 11.1218 8.08046i 0.437920 0.318168i
\(646\) −0.763519 + 0.431179i −0.0300402 + 0.0169645i
\(647\) 0.216291 + 7.57119i 0.00850329 + 0.297654i 0.992702 + 0.120589i \(0.0384784\pi\)
−0.984199 + 0.177065i \(0.943340\pi\)
\(648\) 14.2943 4.19720i 0.561535 0.164882i
\(649\) 37.4195 + 5.26003i 1.46884 + 0.206474i
\(650\) −9.01436 2.64686i −0.353572 0.103818i
\(651\) −10.6910 + 40.6727i −0.419012 + 1.59409i
\(652\) 10.2371 50.5223i 0.400917 1.97861i
\(653\) −11.7321 22.2347i −0.459111 0.870112i −0.999587 0.0287522i \(-0.990847\pi\)
0.540476 0.841360i \(-0.318244\pi\)
\(654\) 1.10768 38.7738i 0.0433136 1.51617i
\(655\) 1.22948 + 4.67741i 0.0480396 + 0.182762i
\(656\) 23.4747 1.34233i 0.916531 0.0524091i
\(657\) −9.87692 + 10.1631i −0.385335 + 0.396501i
\(658\) −7.26460 + 3.57176i −0.283204 + 0.139242i
\(659\) −14.4209 + 31.5773i −0.561757 + 1.23008i 0.389314 + 0.921105i \(0.372712\pi\)
−0.951071 + 0.308972i \(0.900015\pi\)
\(660\) −15.2487 + 8.10734i −0.593555 + 0.315578i
\(661\) −14.2291 31.1573i −0.553446 1.21188i −0.955154 0.296110i \(-0.904310\pi\)
0.401707 0.915768i \(-0.368417\pi\)
\(662\) 13.9509 + 11.4076i 0.542217 + 0.443368i
\(663\) −3.03910 + 5.75973i −0.118029 + 0.223689i
\(664\) −10.2565 5.79209i −0.398028 0.224777i
\(665\) −2.21139 + 0.253734i −0.0857541 + 0.00983937i
\(666\) −6.05469 + 0.694711i −0.234614 + 0.0269195i
\(667\) −9.17132 5.17928i −0.355115 0.200543i
\(668\) −17.9870 + 34.0892i −0.695938 + 1.31895i
\(669\) −1.22181 0.999065i −0.0472377 0.0386261i
\(670\) 10.4073 + 22.7888i 0.402070 + 0.880410i
\(671\) −41.2318 + 21.9219i −1.59174 + 0.846285i
\(672\) 26.2356 57.4479i 1.01206 2.21610i
\(673\) 7.45244 3.66412i 0.287270 0.141241i −0.291898 0.956450i \(-0.594287\pi\)
0.579168 + 0.815208i \(0.303378\pi\)
\(674\) 24.0298 24.7261i 0.925592 0.952412i
\(675\) 4.13347 0.236360i 0.159097 0.00909752i
\(676\) −4.04792 15.3999i −0.155689 0.592303i
\(677\) 1.36167 47.6645i 0.0523331 1.83190i −0.374112 0.927384i \(-0.622052\pi\)
0.426445 0.904514i \(-0.359766\pi\)
\(678\) −18.9837 35.9781i −0.729064 1.38173i
\(679\) −4.28874 + 21.1658i −0.164587 + 0.812268i
\(680\) −0.262510 + 0.998692i −0.0100668 + 0.0382981i
\(681\) 52.0187 + 15.2741i 1.99336 + 0.585304i
\(682\) −36.4592 5.12504i −1.39609 0.196248i
\(683\) −3.36062 + 0.986768i −0.128591 + 0.0377576i −0.345395 0.938458i \(-0.612255\pi\)
0.216804 + 0.976215i \(0.430437\pi\)
\(684\) −0.0367177 1.28529i −0.00140394 0.0491442i
\(685\) −3.80463 + 2.14857i −0.145368 + 0.0820928i
\(686\) 21.8238 15.8559i 0.833238 0.605383i
\(687\) −46.5784 + 19.6842i −1.77708 + 0.750999i
\(688\) −15.9481 2.75992i −0.608014 0.105221i
\(689\) 2.86280 33.3310i 0.109064 1.26981i
\(690\) −1.56907 18.2683i −0.0597334 0.695463i
\(691\) 29.9161 5.17719i 1.13806 0.196950i 0.429817 0.902916i \(-0.358578\pi\)
0.708245 + 0.705966i \(0.249487\pi\)
\(692\) 56.1919 36.1123i 2.13609 1.37278i
\(693\) −1.37319 + 12.3097i −0.0521632 + 0.467607i
\(694\) 47.1374 + 30.2934i 1.78931 + 1.14992i
\(695\) −14.3864 6.07976i −0.545709 0.230618i
\(696\) −6.43138 + 1.49555i −0.243781 + 0.0566888i
\(697\) −2.76923 + 7.11272i −0.104892 + 0.269414i
\(698\) 13.1878 + 21.8695i 0.499166 + 0.827774i
\(699\) −1.47496 + 4.53946i −0.0557881 + 0.171698i
\(700\) −6.64151 + 8.61287i −0.251026 + 0.325536i
\(701\) 4.19809 + 10.7827i 0.158560 + 0.407257i 0.988624 0.150411i \(-0.0480597\pi\)
−0.830064 + 0.557668i \(0.811696\pi\)
\(702\) 21.9552 + 32.1084i 0.828645 + 1.21185i
\(703\) 0.240116 1.67005i 0.00905616 0.0629870i
\(704\) 37.9466 + 12.1978i 1.43016 + 0.459720i
\(705\) −0.256193 1.78186i −0.00964877 0.0671087i
\(706\) 54.7412 50.2410i 2.06021 1.89084i
\(707\) 5.36842 + 0.306977i 0.201900 + 0.0115451i
\(708\) 11.7816 + 58.1445i 0.442780 + 2.18520i
\(709\) 25.0316 20.4683i 0.940083 0.768702i −0.0329286 0.999458i \(-0.510483\pi\)
0.973012 + 0.230755i \(0.0741197\pi\)
\(710\) 18.0850 + 8.89178i 0.678717 + 0.333703i
\(711\) −4.04516 + 1.44331i −0.151705 + 0.0541284i
\(712\) −10.6671 13.8333i −0.399766 0.518426i
\(713\) 11.4757 19.0303i 0.429769 0.712692i
\(714\) 8.68424 + 10.0222i 0.325000 + 0.375070i
\(715\) −10.4108 10.0541i −0.389341 0.376003i
\(716\) 15.4941 17.8812i 0.579043 0.668252i
\(717\) 10.7338 + 33.0352i 0.400860 + 1.23372i
\(718\) 36.4842 + 13.0176i 1.36158 + 0.485811i
\(719\) 9.67212 + 9.95237i 0.360709 + 0.371161i 0.873058 0.487617i \(-0.162134\pi\)
−0.512349 + 0.858777i \(0.671224\pi\)
\(720\) 1.55085 + 1.42336i 0.0577967 + 0.0530454i
\(721\) 8.82318 12.9035i 0.328592 0.480551i
\(722\) −39.2327 9.12316i −1.46009 0.339529i
\(723\) 20.2161 + 14.6878i 0.751843 + 0.546246i
\(724\) −30.3908 3.48702i −1.12946 0.129594i
\(725\) −2.44385 −0.0907623
\(726\) −46.7965 + 0.294392i −1.73678 + 0.0109259i
\(727\) −17.5182 −0.649713 −0.324856 0.945763i \(-0.605316\pi\)
−0.324856 + 0.945763i \(0.605316\pi\)
\(728\) −24.4664 2.80726i −0.906785 0.104044i
\(729\) −11.8807 8.63187i −0.440028 0.319699i
\(730\) −32.8447 7.63770i −1.21564 0.282684i
\(731\) 2.96559 4.33704i 0.109686 0.160411i
\(732\) −54.0139 49.5735i −1.99641 1.83229i
\(733\) −23.4714 24.1515i −0.866935 0.892055i 0.128082 0.991764i \(-0.459118\pi\)
−0.995017 + 0.0997090i \(0.968209\pi\)
\(734\) 59.6993 + 21.3007i 2.20354 + 0.786222i
\(735\) 6.12818 + 18.8606i 0.226041 + 0.695683i
\(736\) −21.8546 + 25.2216i −0.805571 + 0.929679i
\(737\) −2.08210 + 38.5381i −0.0766950 + 1.41957i
\(738\) −12.8927 14.8790i −0.474587 0.547703i
\(739\) 18.7663 31.1204i 0.690328 1.14478i −0.291784 0.956484i \(-0.594249\pi\)
0.982112 0.188296i \(-0.0602966\pi\)
\(740\) −5.03423 6.52850i −0.185062 0.239993i
\(741\) 4.37994 1.56276i 0.160901 0.0574094i
\(742\) −61.1330 30.0571i −2.24426 1.10343i
\(743\) −25.1597 + 20.5730i −0.923021 + 0.754750i −0.969735 0.244158i \(-0.921488\pi\)
0.0467148 + 0.998908i \(0.485125\pi\)
\(744\) −2.76665 13.6540i −0.101430 0.500578i
\(745\) 5.82782 + 0.333247i 0.213515 + 0.0122092i
\(746\) −20.9022 + 19.1838i −0.765283 + 0.702370i
\(747\) −1.10929 7.71532i −0.0405870 0.282289i
\(748\) −4.44766 + 4.87675i −0.162623 + 0.178312i
\(749\) −5.27771 + 36.7073i −0.192843 + 1.34126i
\(750\) −2.40132 3.51181i −0.0876836 0.128233i
\(751\) −5.97597 15.3492i −0.218066 0.560099i 0.779754 0.626086i \(-0.215344\pi\)
−0.997820 + 0.0659869i \(0.978980\pi\)
\(752\) −1.29421 + 1.67837i −0.0471951 + 0.0612037i
\(753\) 2.32172 7.14553i 0.0846084 0.260398i
\(754\) −11.8564 19.6616i −0.431784 0.716033i
\(755\) −5.39143 + 13.8478i −0.196214 + 0.503973i
\(756\) 43.8595 10.1991i 1.59516 0.370938i
\(757\) −27.5405 11.6387i −1.00098 0.423016i −0.173692 0.984800i \(-0.555570\pi\)
−0.827284 + 0.561784i \(0.810115\pi\)
\(758\) −10.2462 6.58484i −0.372159 0.239172i
\(759\) 10.9136 26.0528i 0.396137 0.945657i
\(760\) 0.620323 0.398657i 0.0225015 0.0144608i
\(761\) −24.4267 + 4.22720i −0.885467 + 0.153236i −0.595073 0.803671i \(-0.702877\pi\)
−0.290393 + 0.956907i \(0.593786\pi\)
\(762\) 4.63046 + 53.9115i 0.167744 + 1.95301i
\(763\) 3.22043 37.4947i 0.116587 1.35740i
\(764\) 10.5992 + 1.83427i 0.383466 + 0.0663614i
\(765\) −0.629431 + 0.266000i −0.0227571 + 0.00961724i
\(766\) −1.34788 + 0.979295i −0.0487010 + 0.0353834i
\(767\) −43.2918 + 24.4480i −1.56318 + 0.882766i
\(768\) −0.0944294 3.30546i −0.00340743 0.119276i
\(769\) −27.4153 + 8.04985i −0.988620 + 0.290285i −0.735778 0.677222i \(-0.763183\pi\)
−0.252842 + 0.967508i \(0.581365\pi\)
\(770\) −26.7698 + 12.3273i −0.964717 + 0.444244i
\(771\) 15.1744 + 4.45561i 0.546493 + 0.160465i
\(772\) 0.930180 3.53877i 0.0334779 0.127363i
\(773\) 8.25748