Properties

Label 138.2.e.b.13.1
Level $138$
Weight $2$
Character 138.13
Analytic conductor $1.102$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.e (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 13.1
Root \(0.654861 + 0.755750i\) of defining polynomial
Character \(\chi\) \(=\) 138.13
Dual form 138.2.e.b.85.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.654861 - 0.755750i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-1.61435 + 3.53494i) q^{5} +(0.142315 + 0.989821i) q^{6} +(-3.99283 - 1.17240i) q^{7} +(0.841254 - 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.654861 - 0.755750i) q^{2} +(-0.841254 - 0.540641i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-1.61435 + 3.53494i) q^{5} +(0.142315 + 0.989821i) q^{6} +(-3.99283 - 1.17240i) q^{7} +(0.841254 - 0.540641i) q^{8} +(0.415415 + 0.909632i) q^{9} +(3.72871 - 1.09485i) q^{10} +(-2.96537 + 3.42222i) q^{11} +(0.654861 - 0.755750i) q^{12} +(3.13097 - 0.919336i) q^{13} +(1.72871 + 3.78534i) q^{14} +(3.26921 - 2.10100i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(0.260239 + 1.81001i) q^{17} +(0.415415 - 0.909632i) q^{18} +(-0.194351 + 1.35174i) q^{19} +(-3.26921 - 2.10100i) q^{20} +(2.72514 + 3.14498i) q^{21} +4.52825 q^{22} +(-2.28185 - 4.21819i) q^{23} -1.00000 q^{24} +(-6.61537 - 7.63454i) q^{25} +(-2.74514 - 1.76419i) q^{26} +(0.142315 - 0.989821i) q^{27} +(1.72871 - 3.78534i) q^{28} +(-0.0798548 - 0.555402i) q^{29} +(-3.72871 - 1.09485i) q^{30} +(-3.90053 + 2.50672i) q^{31} +(0.415415 + 0.909632i) q^{32} +(4.34482 - 1.27576i) q^{33} +(1.19749 - 1.38198i) q^{34} +(10.5902 - 12.2218i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(1.04639 + 2.29127i) q^{37} +(1.14885 - 0.738323i) q^{38} +(-3.13097 - 0.919336i) q^{39} +(0.553053 + 3.84657i) q^{40} +(-2.54130 + 5.56467i) q^{41} +(0.592229 - 4.11904i) q^{42} +(8.28836 + 5.32661i) q^{43} +(-2.96537 - 3.42222i) q^{44} -3.88612 q^{45} +(-1.69360 + 4.48684i) q^{46} +2.38128 q^{47} +(0.654861 + 0.755750i) q^{48} +(8.67941 + 5.57792i) q^{49} +(-1.43766 + 9.99913i) q^{50} +(0.759635 - 1.66337i) q^{51} +(0.464395 + 3.22994i) q^{52} +(-10.1804 - 2.98924i) q^{53} +(-0.841254 + 0.540641i) q^{54} +(-7.31020 - 16.0071i) q^{55} +(-3.99283 + 1.17240i) q^{56} +(0.894306 - 1.03208i) q^{57} +(-0.367451 + 0.424061i) q^{58} +(6.86289 - 2.01513i) q^{59} +(1.61435 + 3.53494i) q^{60} +(-2.73982 + 1.76078i) q^{61} +(4.44875 + 1.30627i) q^{62} +(-0.592229 - 4.11904i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-1.80470 + 12.5519i) q^{65} +(-3.80941 - 2.44816i) q^{66} +(4.11751 + 4.75186i) q^{67} -1.82862 q^{68} +(-0.360914 + 4.78223i) q^{69} -16.1717 q^{70} +(4.22647 + 4.87760i) q^{71} +(0.841254 + 0.540641i) q^{72} +(-1.75805 + 12.2275i) q^{73} +(1.04639 - 2.29127i) q^{74} +(1.43766 + 9.99913i) q^{75} +(-1.31033 - 0.384746i) q^{76} +(15.8525 - 10.1878i) q^{77} +(1.35556 + 2.96827i) q^{78} +(-8.09543 + 2.37703i) q^{79} +(2.54487 - 2.93694i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(5.86969 - 1.72350i) q^{82} +(-0.156624 - 0.342959i) q^{83} +(-3.50079 + 2.24982i) q^{84} +(-6.81838 - 2.00206i) q^{85} +(-1.40214 - 9.75211i) q^{86} +(-0.233095 + 0.510407i) q^{87} +(-0.644437 + 4.48216i) q^{88} +(12.7912 + 8.22041i) q^{89} +(2.54487 + 2.93694i) q^{90} -13.5793 q^{91} +(4.50000 - 1.65831i) q^{92} +4.63657 q^{93} +(-1.55940 - 1.79965i) q^{94} +(-4.46458 - 2.86921i) q^{95} +(0.142315 - 0.989821i) q^{96} +(7.84133 - 17.1701i) q^{97} +(-1.46830 - 10.2122i) q^{98} +(-4.34482 - 1.27576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9} + 9 q^{10} + 11 q^{11} + q^{12} + 13 q^{13} - 11 q^{14} + 13 q^{15} - q^{16} - 24 q^{17} - q^{18} - 14 q^{19} - 13 q^{20} + 11 q^{21} + 22 q^{22} - 10 q^{23} - 10 q^{24} - 43 q^{25} - 9 q^{26} + q^{27} - 11 q^{28} + 13 q^{29} - 9 q^{30} + 8 q^{31} - q^{32} + 22 q^{33} + 9 q^{34} - q^{36} - 13 q^{37} - 3 q^{38} - 13 q^{39} + 9 q^{40} - 10 q^{41} - 8 q^{43} + 11 q^{44} - 2 q^{45} + q^{46} - 8 q^{47} + q^{48} + 29 q^{49} + 23 q^{50} - 9 q^{51} + 2 q^{52} - 35 q^{53} + q^{54} - 11 q^{55} + 3 q^{57} + 13 q^{58} + 37 q^{59} + 2 q^{60} - 2 q^{61} + 8 q^{62} - q^{64} + 37 q^{65} + 14 q^{67} - 2 q^{68} - q^{69} - 22 q^{70} + 44 q^{71} - q^{72} - 49 q^{73} - 13 q^{74} - 23 q^{75} + 8 q^{76} + 44 q^{77} + 20 q^{78} - 8 q^{79} - 2 q^{80} - q^{81} + 12 q^{82} - 17 q^{83} - 11 q^{84} - 37 q^{85} + 14 q^{86} - 2 q^{87} + 59 q^{89} - 2 q^{90} + 66 q^{91} + 45 q^{92} + 36 q^{93} - 19 q^{94} - 28 q^{95} + q^{96} - 21 q^{97} - 26 q^{98} - 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654861 0.755750i −0.463056 0.534396i
\(3\) −0.841254 0.540641i −0.485698 0.312139i
\(4\) −0.142315 + 0.989821i −0.0711574 + 0.494911i
\(5\) −1.61435 + 3.53494i −0.721961 + 1.58087i 0.0891748 + 0.996016i \(0.471577\pi\)
−0.811136 + 0.584858i \(0.801150\pi\)
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) −3.99283 1.17240i −1.50915 0.443126i −0.580554 0.814222i \(-0.697164\pi\)
−0.928595 + 0.371096i \(0.878982\pi\)
\(8\) 0.841254 0.540641i 0.297428 0.191145i
\(9\) 0.415415 + 0.909632i 0.138472 + 0.303211i
\(10\) 3.72871 1.09485i 1.17912 0.346221i
\(11\) −2.96537 + 3.42222i −0.894094 + 1.03184i 0.105207 + 0.994450i \(0.466449\pi\)
−0.999301 + 0.0373888i \(0.988096\pi\)
\(12\) 0.654861 0.755750i 0.189042 0.218166i
\(13\) 3.13097 0.919336i 0.868376 0.254978i 0.182951 0.983122i \(-0.441435\pi\)
0.685424 + 0.728144i \(0.259617\pi\)
\(14\) 1.72871 + 3.78534i 0.462016 + 1.01167i
\(15\) 3.26921 2.10100i 0.844108 0.542475i
\(16\) −0.959493 0.281733i −0.239873 0.0704331i
\(17\) 0.260239 + 1.81001i 0.0631173 + 0.438991i 0.996737 + 0.0807238i \(0.0257232\pi\)
−0.933619 + 0.358267i \(0.883368\pi\)
\(18\) 0.415415 0.909632i 0.0979143 0.214402i
\(19\) −0.194351 + 1.35174i −0.0445873 + 0.310111i 0.955308 + 0.295613i \(0.0955240\pi\)
−0.999895 + 0.0144978i \(0.995385\pi\)
\(20\) −3.26921 2.10100i −0.731019 0.469797i
\(21\) 2.72514 + 3.14498i 0.594674 + 0.686290i
\(22\) 4.52825 0.965426
\(23\) −2.28185 4.21819i −0.475799 0.879554i
\(24\) −1.00000 −0.204124
\(25\) −6.61537 7.63454i −1.32307 1.52691i
\(26\) −2.74514 1.76419i −0.538366 0.345987i
\(27\) 0.142315 0.989821i 0.0273885 0.190491i
\(28\) 1.72871 3.78534i 0.326695 0.715362i
\(29\) −0.0798548 0.555402i −0.0148287 0.103136i 0.981063 0.193689i \(-0.0620454\pi\)
−0.995892 + 0.0905538i \(0.971136\pi\)
\(30\) −3.72871 1.09485i −0.680766 0.199891i
\(31\) −3.90053 + 2.50672i −0.700556 + 0.450220i −0.841824 0.539751i \(-0.818518\pi\)
0.141269 + 0.989971i \(0.454882\pi\)
\(32\) 0.415415 + 0.909632i 0.0734357 + 0.160802i
\(33\) 4.34482 1.27576i 0.756337 0.222081i
\(34\) 1.19749 1.38198i 0.205368 0.237007i
\(35\) 10.5902 12.2218i 1.79007 2.06585i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) 1.04639 + 2.29127i 0.172025 + 0.376682i 0.975933 0.218072i \(-0.0699767\pi\)
−0.803908 + 0.594754i \(0.797249\pi\)
\(38\) 1.14885 0.738323i 0.186369 0.119772i
\(39\) −3.13097 0.919336i −0.501357 0.147212i
\(40\) 0.553053 + 3.84657i 0.0874453 + 0.608196i
\(41\) −2.54130 + 5.56467i −0.396884 + 0.869055i 0.600693 + 0.799480i \(0.294892\pi\)
−0.997577 + 0.0695749i \(0.977836\pi\)
\(42\) 0.592229 4.11904i 0.0913829 0.635582i
\(43\) 8.28836 + 5.32661i 1.26396 + 0.812300i 0.988822 0.149104i \(-0.0476388\pi\)
0.275142 + 0.961404i \(0.411275\pi\)
\(44\) −2.96537 3.42222i −0.447047 0.515920i
\(45\) −3.88612 −0.579309
\(46\) −1.69360 + 4.48684i −0.249708 + 0.661548i
\(47\) 2.38128 0.347345 0.173672 0.984803i \(-0.444437\pi\)
0.173672 + 0.984803i \(0.444437\pi\)
\(48\) 0.654861 + 0.755750i 0.0945210 + 0.109083i
\(49\) 8.67941 + 5.57792i 1.23992 + 0.796846i
\(50\) −1.43766 + 9.99913i −0.203315 + 1.41409i
\(51\) 0.759635 1.66337i 0.106370 0.232918i
\(52\) 0.464395 + 3.22994i 0.0644000 + 0.447912i
\(53\) −10.1804 2.98924i −1.39839 0.410604i −0.506259 0.862382i \(-0.668972\pi\)
−0.892131 + 0.451777i \(0.850790\pi\)
\(54\) −0.841254 + 0.540641i −0.114480 + 0.0735719i
\(55\) −7.31020 16.0071i −0.985707 2.15840i
\(56\) −3.99283 + 1.17240i −0.533565 + 0.156669i
\(57\) 0.894306 1.03208i 0.118454 0.136703i
\(58\) −0.367451 + 0.424061i −0.0482487 + 0.0556820i
\(59\) 6.86289 2.01513i 0.893472 0.262347i 0.197404 0.980322i \(-0.436749\pi\)
0.696069 + 0.717975i \(0.254931\pi\)
\(60\) 1.61435 + 3.53494i 0.208412 + 0.456359i
\(61\) −2.73982 + 1.76078i −0.350799 + 0.225445i −0.704158 0.710043i \(-0.748676\pi\)
0.353360 + 0.935487i \(0.385039\pi\)
\(62\) 4.44875 + 1.30627i 0.564992 + 0.165897i
\(63\) −0.592229 4.11904i −0.0746138 0.518950i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) −1.80470 + 12.5519i −0.223845 + 1.55688i
\(66\) −3.80941 2.44816i −0.468906 0.301347i
\(67\) 4.11751 + 4.75186i 0.503034 + 0.580532i 0.949301 0.314367i \(-0.101792\pi\)
−0.446267 + 0.894900i \(0.647247\pi\)
\(68\) −1.82862 −0.221753
\(69\) −0.360914 + 4.78223i −0.0434489 + 0.575713i
\(70\) −16.1717 −1.93289
\(71\) 4.22647 + 4.87760i 0.501589 + 0.578865i 0.948925 0.315501i \(-0.102173\pi\)
−0.447336 + 0.894366i \(0.647627\pi\)
\(72\) 0.841254 + 0.540641i 0.0991427 + 0.0637151i
\(73\) −1.75805 + 12.2275i −0.205765 + 1.43112i 0.581017 + 0.813892i \(0.302655\pi\)
−0.786781 + 0.617232i \(0.788254\pi\)
\(74\) 1.04639 2.29127i 0.121640 0.266355i
\(75\) 1.43766 + 9.99913i 0.166006 + 1.15460i
\(76\) −1.31033 0.384746i −0.150305 0.0441334i
\(77\) 15.8525 10.1878i 1.80656 1.16100i
\(78\) 1.35556 + 2.96827i 0.153487 + 0.336090i
\(79\) −8.09543 + 2.37703i −0.910807 + 0.267437i −0.703381 0.710813i \(-0.748327\pi\)
−0.207427 + 0.978251i \(0.566509\pi\)
\(80\) 2.54487 2.93694i 0.284525 0.328359i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 5.86969 1.72350i 0.648199 0.190328i
\(83\) −0.156624 0.342959i −0.0171917 0.0376446i 0.900841 0.434148i \(-0.142951\pi\)
−0.918033 + 0.396504i \(0.870223\pi\)
\(84\) −3.50079 + 2.24982i −0.381968 + 0.245476i
\(85\) −6.81838 2.00206i −0.739557 0.217154i
\(86\) −1.40214 9.75211i −0.151197 1.05160i
\(87\) −0.233095 + 0.510407i −0.0249904 + 0.0547214i
\(88\) −0.644437 + 4.48216i −0.0686972 + 0.477800i
\(89\) 12.7912 + 8.22041i 1.35587 + 0.871362i 0.998049 0.0624300i \(-0.0198850\pi\)
0.357816 + 0.933792i \(0.383521\pi\)
\(90\) 2.54487 + 2.93694i 0.268253 + 0.309580i
\(91\) −13.5793 −1.42350
\(92\) 4.50000 1.65831i 0.469157 0.172891i
\(93\) 4.63657 0.480790
\(94\) −1.55940 1.79965i −0.160840 0.185619i
\(95\) −4.46458 2.86921i −0.458056 0.294375i
\(96\) 0.142315 0.989821i 0.0145249 0.101023i
\(97\) 7.84133 17.1701i 0.796166 1.74336i 0.138075 0.990422i \(-0.455908\pi\)
0.658091 0.752939i \(-0.271364\pi\)
\(98\) −1.46830 10.2122i −0.148320 1.03159i
\(99\) −4.34482 1.27576i −0.436671 0.128218i
\(100\) 8.49830 5.46153i 0.849830 0.546153i
\(101\) −0.458228 1.00338i −0.0455954 0.0998399i 0.885464 0.464709i \(-0.153841\pi\)
−0.931059 + 0.364869i \(0.881114\pi\)
\(102\) −1.75455 + 0.515181i −0.173726 + 0.0510105i
\(103\) −2.20457 + 2.54421i −0.217223 + 0.250689i −0.853894 0.520447i \(-0.825765\pi\)
0.636671 + 0.771136i \(0.280311\pi\)
\(104\) 2.13691 2.46613i 0.209541 0.241824i
\(105\) −15.5166 + 4.55610i −1.51427 + 0.444629i
\(106\) 4.40764 + 9.65139i 0.428108 + 0.937426i
\(107\) −8.83179 + 5.67585i −0.853802 + 0.548705i −0.892758 0.450536i \(-0.851233\pi\)
0.0389566 + 0.999241i \(0.487597\pi\)
\(108\) 0.959493 + 0.281733i 0.0923273 + 0.0271097i
\(109\) 0.181690 + 1.26368i 0.0174028 + 0.121039i 0.996671 0.0815291i \(-0.0259803\pi\)
−0.979268 + 0.202568i \(0.935071\pi\)
\(110\) −7.31020 + 16.0071i −0.697000 + 1.52622i
\(111\) 0.358476 2.49326i 0.0340251 0.236650i
\(112\) 3.50079 + 2.24982i 0.330794 + 0.212588i
\(113\) −11.5853 13.3702i −1.08985 1.25776i −0.964055 0.265704i \(-0.914396\pi\)
−0.125800 0.992056i \(-0.540150\pi\)
\(114\) −1.36564 −0.127904
\(115\) 18.5948 1.25655i 1.73397 0.117174i
\(116\) 0.561114 0.0520981
\(117\) 2.13691 + 2.46613i 0.197557 + 0.227993i
\(118\) −6.01717 3.86700i −0.553925 0.355986i
\(119\) 1.08296 7.53215i 0.0992748 0.690471i
\(120\) 1.61435 3.53494i 0.147370 0.322695i
\(121\) −1.35271 9.40830i −0.122974 0.855300i
\(122\) 3.12491 + 0.917557i 0.282916 + 0.0830717i
\(123\) 5.14636 3.30737i 0.464032 0.298215i
\(124\) −1.92610 4.21757i −0.172969 0.378749i
\(125\) 19.0237 5.58586i 1.70153 0.499614i
\(126\) −2.72514 + 3.14498i −0.242774 + 0.280177i
\(127\) −6.61277 + 7.63154i −0.586788 + 0.677190i −0.969050 0.246864i \(-0.920600\pi\)
0.382262 + 0.924054i \(0.375145\pi\)
\(128\) −0.959493 + 0.281733i −0.0848080 + 0.0249019i
\(129\) −4.09283 8.96205i −0.360354 0.789065i
\(130\) 10.6679 6.85587i 0.935641 0.601300i
\(131\) −7.21436 2.11833i −0.630322 0.185079i −0.0490599 0.998796i \(-0.515623\pi\)
−0.581262 + 0.813717i \(0.697441\pi\)
\(132\) 0.644437 + 4.48216i 0.0560911 + 0.390122i
\(133\) 2.36080 5.16943i 0.204707 0.448246i
\(134\) 0.894821 6.22362i 0.0773008 0.537639i
\(135\) 3.26921 + 2.10100i 0.281369 + 0.180825i
\(136\) 1.19749 + 1.38198i 0.102684 + 0.118504i
\(137\) −14.3005 −1.22178 −0.610888 0.791717i \(-0.709188\pi\)
−0.610888 + 0.791717i \(0.709188\pi\)
\(138\) 3.85052 2.85894i 0.327778 0.243369i
\(139\) 21.8003 1.84907 0.924537 0.381092i \(-0.124452\pi\)
0.924537 + 0.381092i \(0.124452\pi\)
\(140\) 10.5902 + 12.2218i 0.895037 + 1.03293i
\(141\) −2.00326 1.28741i −0.168705 0.108420i
\(142\) 0.918499 6.38830i 0.0770787 0.536094i
\(143\) −6.13833 + 13.4411i −0.513313 + 1.12400i
\(144\) −0.142315 0.989821i −0.0118596 0.0824851i
\(145\) 2.09223 + 0.614334i 0.173750 + 0.0510176i
\(146\) 10.3922 6.67868i 0.860067 0.552731i
\(147\) −4.28594 9.38489i −0.353498 0.774053i
\(148\) −2.41686 + 0.709655i −0.198665 + 0.0583333i
\(149\) 1.36272 1.57267i 0.111639 0.128838i −0.697180 0.716896i \(-0.745562\pi\)
0.808818 + 0.588058i \(0.200107\pi\)
\(150\) 6.61537 7.63454i 0.540143 0.623358i
\(151\) −18.0081 + 5.28767i −1.46548 + 0.430304i −0.914628 0.404297i \(-0.867516\pi\)
−0.550854 + 0.834601i \(0.685698\pi\)
\(152\) 0.567309 + 1.24223i 0.0460148 + 0.100758i
\(153\) −1.53833 + 0.988626i −0.124367 + 0.0799256i
\(154\) −18.0805 5.30893i −1.45697 0.427806i
\(155\) −2.56427 17.8349i −0.205967 1.43253i
\(156\) 1.35556 2.96827i 0.108532 0.237652i
\(157\) 0.283936 1.97482i 0.0226606 0.157608i −0.975349 0.220667i \(-0.929177\pi\)
0.998010 + 0.0630593i \(0.0200857\pi\)
\(158\) 7.09782 + 4.56149i 0.564672 + 0.362893i
\(159\) 6.94821 + 8.01867i 0.551029 + 0.635922i
\(160\) −3.88612 −0.307225
\(161\) 4.16563 + 19.5178i 0.328297 + 1.53822i
\(162\) 1.00000 0.0785674
\(163\) −0.457728 0.528246i −0.0358520 0.0413754i 0.737540 0.675303i \(-0.235987\pi\)
−0.773392 + 0.633928i \(0.781442\pi\)
\(164\) −5.14636 3.30737i −0.401863 0.258262i
\(165\) −2.50436 + 17.4182i −0.194964 + 1.35601i
\(166\) −0.156624 + 0.342959i −0.0121564 + 0.0266188i
\(167\) −0.715611 4.97718i −0.0553756 0.385146i −0.998596 0.0529775i \(-0.983129\pi\)
0.943220 0.332168i \(-0.107780\pi\)
\(168\) 3.99283 + 1.17240i 0.308054 + 0.0904527i
\(169\) −1.97849 + 1.27150i −0.152191 + 0.0978074i
\(170\) 2.95204 + 6.46406i 0.226411 + 0.495771i
\(171\) −1.31033 + 0.384746i −0.100203 + 0.0294223i
\(172\) −6.45195 + 7.44594i −0.491956 + 0.567748i
\(173\) 5.68588 6.56186i 0.432289 0.498889i −0.497252 0.867606i \(-0.665658\pi\)
0.929542 + 0.368717i \(0.120203\pi\)
\(174\) 0.538385 0.158084i 0.0408148 0.0119843i
\(175\) 17.4633 + 38.2393i 1.32010 + 2.89062i
\(176\) 3.80941 2.44816i 0.287145 0.184537i
\(177\) −6.86289 2.01513i −0.515847 0.151466i
\(178\) −2.16389 15.0502i −0.162190 1.12806i
\(179\) −4.80854 + 10.5292i −0.359407 + 0.786992i 0.640413 + 0.768031i \(0.278763\pi\)
−0.999820 + 0.0189611i \(0.993964\pi\)
\(180\) 0.553053 3.84657i 0.0412221 0.286706i
\(181\) −2.19877 1.41307i −0.163434 0.105032i 0.456367 0.889791i \(-0.349150\pi\)
−0.619801 + 0.784759i \(0.712787\pi\)
\(182\) 8.89254 + 10.2625i 0.659159 + 0.760710i
\(183\) 3.25684 0.240752
\(184\) −4.20014 2.31491i −0.309639 0.170657i
\(185\) −9.78874 −0.719683
\(186\) −3.03631 3.50408i −0.222633 0.256932i
\(187\) −6.96595 4.47674i −0.509401 0.327372i
\(188\) −0.338891 + 2.35704i −0.0247162 + 0.171905i
\(189\) −1.72871 + 3.78534i −0.125745 + 0.275343i
\(190\) 0.755273 + 5.25304i 0.0547933 + 0.381096i
\(191\) −5.90211 1.73302i −0.427062 0.125397i 0.0611364 0.998129i \(-0.480528\pi\)
−0.488198 + 0.872733i \(0.662346\pi\)
\(192\) −0.841254 + 0.540641i −0.0607122 + 0.0390174i
\(193\) 3.54355 + 7.75930i 0.255071 + 0.558527i 0.993239 0.116090i \(-0.0370362\pi\)
−0.738168 + 0.674617i \(0.764309\pi\)
\(194\) −18.1113 + 5.31795i −1.30031 + 0.381807i
\(195\) 8.30430 9.58367i 0.594683 0.686301i
\(196\) −6.75635 + 7.79725i −0.482597 + 0.556946i
\(197\) −3.15681 + 0.926923i −0.224913 + 0.0660406i −0.392248 0.919860i \(-0.628302\pi\)
0.167334 + 0.985900i \(0.446484\pi\)
\(198\) 1.88110 + 4.11904i 0.133684 + 0.292728i
\(199\) 16.8471 10.8270i 1.19426 0.767505i 0.216307 0.976325i \(-0.430599\pi\)
0.977954 + 0.208821i \(0.0669626\pi\)
\(200\) −9.69275 2.84605i −0.685381 0.201246i
\(201\) −0.894821 6.22362i −0.0631158 0.438980i
\(202\) −0.458228 + 1.00338i −0.0322408 + 0.0705975i
\(203\) −0.332308 + 2.31125i −0.0233234 + 0.162218i
\(204\) 1.53833 + 0.988626i 0.107705 + 0.0692176i
\(205\) −15.5682 17.9667i −1.08733 1.25485i
\(206\) 3.36648 0.234554
\(207\) 2.88909 3.82794i 0.200806 0.266061i
\(208\) −3.26315 −0.226259
\(209\) −4.04964 4.67354i −0.280120 0.323275i
\(210\) 13.6045 + 8.74308i 0.938800 + 0.603330i
\(211\) −0.373327 + 2.59655i −0.0257009 + 0.178754i −0.998628 0.0523567i \(-0.983327\pi\)
0.972928 + 0.231110i \(0.0742358\pi\)
\(212\) 4.40764 9.65139i 0.302718 0.662860i
\(213\) −0.918499 6.38830i −0.0629345 0.437719i
\(214\) 10.0731 + 2.95773i 0.688584 + 0.202186i
\(215\) −32.2096 + 20.6998i −2.19668 + 1.41172i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) 18.5130 5.43592i 1.25675 0.369014i
\(218\) 0.836047 0.964850i 0.0566242 0.0653479i
\(219\) 8.08967 9.33598i 0.546649 0.630867i
\(220\) 16.8845 4.95774i 1.13835 0.334251i
\(221\) 2.47881 + 5.42783i 0.166743 + 0.365115i
\(222\) −2.11903 + 1.36182i −0.142220 + 0.0913993i
\(223\) −3.27091 0.960425i −0.219036 0.0643148i 0.170373 0.985380i \(-0.445503\pi\)
−0.389409 + 0.921065i \(0.627321\pi\)
\(224\) −0.592229 4.11904i −0.0395699 0.275215i
\(225\) 4.19650 9.18906i 0.279767 0.612604i
\(226\) −2.51773 + 17.5112i −0.167477 + 1.16483i
\(227\) 12.4561 + 8.00502i 0.826738 + 0.531312i 0.884240 0.467033i \(-0.154677\pi\)
−0.0575021 + 0.998345i \(0.518314\pi\)
\(228\) 0.894306 + 1.03208i 0.0592269 + 0.0683515i
\(229\) 9.79565 0.647315 0.323657 0.946174i \(-0.395088\pi\)
0.323657 + 0.946174i \(0.395088\pi\)
\(230\) −13.1266 13.2301i −0.865544 0.872369i
\(231\) −18.8439 −1.23983
\(232\) −0.367451 0.424061i −0.0241244 0.0278410i
\(233\) −3.32743 2.13841i −0.217987 0.140092i 0.427090 0.904209i \(-0.359539\pi\)
−0.645078 + 0.764117i \(0.723175\pi\)
\(234\) 0.464395 3.22994i 0.0303585 0.211148i
\(235\) −3.84422 + 8.41767i −0.250769 + 0.549108i
\(236\) 1.01792 + 7.07982i 0.0662612 + 0.460857i
\(237\) 8.09543 + 2.37703i 0.525855 + 0.154405i
\(238\) −6.40161 + 4.11406i −0.414955 + 0.266675i
\(239\) −4.08249 8.93942i −0.264075 0.578243i 0.730424 0.682994i \(-0.239323\pi\)
−0.994498 + 0.104751i \(0.966595\pi\)
\(240\) −3.72871 + 1.09485i −0.240687 + 0.0706721i
\(241\) −14.2018 + 16.3897i −0.914818 + 1.05576i 0.0834259 + 0.996514i \(0.473414\pi\)
−0.998244 + 0.0592420i \(0.981132\pi\)
\(242\) −6.22449 + 7.18344i −0.400125 + 0.461769i
\(243\) 0.959493 0.281733i 0.0615515 0.0180732i
\(244\) −1.35294 2.96252i −0.0866130 0.189656i
\(245\) −33.7293 + 21.6765i −2.15488 + 1.38486i
\(246\) −5.86969 1.72350i −0.374238 0.109886i
\(247\) 0.634198 + 4.41095i 0.0403531 + 0.280662i
\(248\) −1.92610 + 4.21757i −0.122307 + 0.267816i
\(249\) −0.0536570 + 0.373193i −0.00340038 + 0.0236501i
\(250\) −16.6794 10.7192i −1.05490 0.677940i
\(251\) 4.87930 + 5.63102i 0.307979 + 0.355427i 0.888547 0.458785i \(-0.151715\pi\)
−0.580569 + 0.814211i \(0.697170\pi\)
\(252\) 4.16140 0.262143
\(253\) 21.2021 + 4.69952i 1.33297 + 0.295456i
\(254\) 10.0980 0.633603
\(255\) 4.65359 + 5.37053i 0.291419 + 0.336316i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) −0.583862 + 4.06085i −0.0364203 + 0.253309i −0.999895 0.0144905i \(-0.995387\pi\)
0.963475 + 0.267799i \(0.0862965\pi\)
\(258\) −4.09283 + 8.96205i −0.254809 + 0.557953i
\(259\) −1.49176 10.3754i −0.0926936 0.644698i
\(260\) −12.1673 3.57265i −0.754587 0.221567i
\(261\) 0.472039 0.303361i 0.0292185 0.0187776i
\(262\) 3.12348 + 6.83946i 0.192969 + 0.422543i
\(263\) 25.7188 7.55172i 1.58589 0.465659i 0.634314 0.773076i \(-0.281283\pi\)
0.951575 + 0.307417i \(0.0994645\pi\)
\(264\) 2.96537 3.42222i 0.182506 0.210623i
\(265\) 27.0016 31.1615i 1.65870 1.91424i
\(266\) −5.45279 + 1.60108i −0.334332 + 0.0981687i
\(267\) −6.31636 13.8309i −0.386555 0.846437i
\(268\) −5.28948 + 3.39934i −0.323106 + 0.207648i
\(269\) 5.51035 + 1.61799i 0.335972 + 0.0986503i 0.445367 0.895348i \(-0.353073\pi\)
−0.109395 + 0.993998i \(0.534891\pi\)
\(270\) −0.553053 3.84657i −0.0336577 0.234095i
\(271\) 2.88130 6.30917i 0.175027 0.383255i −0.801705 0.597720i \(-0.796073\pi\)
0.976732 + 0.214465i \(0.0688008\pi\)
\(272\) 0.260239 1.81001i 0.0157793 0.109748i
\(273\) 11.4236 + 7.34151i 0.691389 + 0.444329i
\(274\) 9.36485 + 10.8076i 0.565752 + 0.652912i
\(275\) 45.7442 2.75848
\(276\) −4.68219 1.03782i −0.281835 0.0624696i
\(277\) −3.81024 −0.228935 −0.114468 0.993427i \(-0.536516\pi\)
−0.114468 + 0.993427i \(0.536516\pi\)
\(278\) −14.2761 16.4755i −0.856226 0.988137i
\(279\) −3.90053 2.50672i −0.233519 0.150073i
\(280\) 2.30147 16.0071i 0.137539 0.956607i
\(281\) 7.54923 16.5305i 0.450349 0.986127i −0.539233 0.842157i \(-0.681286\pi\)
0.989582 0.143970i \(-0.0459870\pi\)
\(282\) 0.338891 + 2.35704i 0.0201807 + 0.140360i
\(283\) 16.4044 + 4.81676i 0.975139 + 0.286327i 0.730217 0.683216i \(-0.239419\pi\)
0.244923 + 0.969543i \(0.421237\pi\)
\(284\) −5.42945 + 3.48929i −0.322178 + 0.207051i
\(285\) 2.20463 + 4.82747i 0.130591 + 0.285955i
\(286\) 14.1778 4.16299i 0.838353 0.246163i
\(287\) 16.6710 19.2394i 0.984058 1.13566i
\(288\) −0.654861 + 0.755750i −0.0385880 + 0.0445330i
\(289\) 13.1030 3.84738i 0.770764 0.226317i
\(290\) −0.905836 1.98350i −0.0531925 0.116475i
\(291\) −15.8794 + 10.2051i −0.930867 + 0.598232i
\(292\) −11.8529 3.48032i −0.693637 0.203670i
\(293\) 1.85784 + 12.9216i 0.108536 + 0.754887i 0.969300 + 0.245882i \(0.0790776\pi\)
−0.860763 + 0.509005i \(0.830013\pi\)
\(294\) −4.28594 + 9.38489i −0.249961 + 0.547338i
\(295\) −3.95578 + 27.5130i −0.230314 + 1.60187i
\(296\) 2.11903 + 1.36182i 0.123166 + 0.0791541i
\(297\) 2.96537 + 3.42222i 0.172068 + 0.198578i
\(298\) −2.08094 −0.120545
\(299\) −11.0223 11.1093i −0.637439 0.642465i
\(300\) −10.1019 −0.583236
\(301\) −26.8491 30.9855i −1.54756 1.78598i
\(302\) 15.7890 + 10.1470i 0.908554 + 0.583892i
\(303\) −0.156982 + 1.09183i −0.00901837 + 0.0627241i
\(304\) 0.567309 1.24223i 0.0325374 0.0712470i
\(305\) −1.80120 12.5276i −0.103137 0.717331i
\(306\) 1.75455 + 0.515181i 0.100301 + 0.0294510i
\(307\) −20.2621 + 13.0217i −1.15642 + 0.743186i −0.970907 0.239455i \(-0.923031\pi\)
−0.185513 + 0.982642i \(0.559395\pi\)
\(308\) 7.82802 + 17.1410i 0.446043 + 0.976698i
\(309\) 3.23011 0.948446i 0.183755 0.0539552i
\(310\) −11.7995 + 13.6173i −0.670164 + 0.773411i
\(311\) −1.73347 + 2.00054i −0.0982963 + 0.113440i −0.802766 0.596294i \(-0.796639\pi\)
0.704470 + 0.709734i \(0.251185\pi\)
\(312\) −3.13097 + 0.919336i −0.177256 + 0.0520472i
\(313\) −10.3916 22.7544i −0.587368 1.28616i −0.937020 0.349277i \(-0.886427\pi\)
0.349651 0.936880i \(-0.386300\pi\)
\(314\) −1.67841 + 1.07865i −0.0947180 + 0.0608715i
\(315\) 15.5166 + 4.55610i 0.874263 + 0.256707i
\(316\) −1.20074 8.35132i −0.0675468 0.469798i
\(317\) −1.22141 + 2.67452i −0.0686012 + 0.150216i −0.940826 0.338889i \(-0.889949\pi\)
0.872225 + 0.489104i \(0.162676\pi\)
\(318\) 1.50999 10.5022i 0.0846761 0.588935i
\(319\) 2.13751 + 1.37369i 0.119678 + 0.0769121i
\(320\) 2.54487 + 2.93694i 0.142263 + 0.164180i
\(321\) 10.4984 0.585962
\(322\) 12.0227 15.9296i 0.669996 0.887722i
\(323\) −2.49724 −0.138950
\(324\) −0.654861 0.755750i −0.0363812 0.0419861i
\(325\) −27.7313 17.8218i −1.53825 0.988575i
\(326\) −0.0994738 + 0.691855i −0.00550934 + 0.0383183i
\(327\) 0.530352 1.16131i 0.0293285 0.0642205i
\(328\) 0.870610 + 6.05523i 0.0480714 + 0.334344i
\(329\) −9.50803 2.79181i −0.524195 0.153917i
\(330\) 14.8038 9.51384i 0.814924 0.523720i
\(331\) −0.506133 1.10828i −0.0278196 0.0609164i 0.895212 0.445640i \(-0.147024\pi\)
−0.923032 + 0.384724i \(0.874297\pi\)
\(332\) 0.361758 0.106222i 0.0198540 0.00582967i
\(333\) −1.64953 + 1.90366i −0.0903935 + 0.104320i
\(334\) −3.29288 + 3.80018i −0.180178 + 0.207937i
\(335\) −23.4447 + 6.88398i −1.28092 + 0.376112i
\(336\) −1.72871 3.78534i −0.0943087 0.206507i
\(337\) 16.0373 10.3066i 0.873608 0.561434i −0.0252465 0.999681i \(-0.508037\pi\)
0.898854 + 0.438248i \(0.144401\pi\)
\(338\) 2.25657 + 0.662588i 0.122741 + 0.0360400i
\(339\) 2.51773 + 17.5112i 0.136744 + 0.951077i
\(340\) 2.95204 6.46406i 0.160097 0.350563i
\(341\) 2.98798 20.7818i 0.161808 1.12540i
\(342\) 1.14885 + 0.738323i 0.0621228 + 0.0399239i
\(343\) −9.03993 10.4326i −0.488110 0.563309i
\(344\) 9.85240 0.531206
\(345\) −16.3223 8.99602i −0.878761 0.484330i
\(346\) −8.68258 −0.466778
\(347\) 8.09188 + 9.33853i 0.434395 + 0.501319i 0.930168 0.367133i \(-0.119661\pi\)
−0.495773 + 0.868452i \(0.665115\pi\)
\(348\) −0.472039 0.303361i −0.0253039 0.0162619i
\(349\) 2.23168 15.5217i 0.119459 0.830856i −0.838695 0.544602i \(-0.816681\pi\)
0.958154 0.286254i \(-0.0924101\pi\)
\(350\) 17.4633 38.2393i 0.933453 2.04398i
\(351\) −0.464395 3.22994i −0.0247876 0.172401i
\(352\) −4.34482 1.27576i −0.231580 0.0679980i
\(353\) 25.6703 16.4973i 1.36629 0.878063i 0.367640 0.929968i \(-0.380166\pi\)
0.998652 + 0.0519054i \(0.0165294\pi\)
\(354\) 2.97131 + 6.50625i 0.157923 + 0.345804i
\(355\) −24.0651 + 7.06614i −1.27724 + 0.375032i
\(356\) −9.95712 + 11.4911i −0.527726 + 0.609029i
\(357\) −4.98323 + 5.75096i −0.263741 + 0.304373i
\(358\) 11.1064 3.26113i 0.586991 0.172356i
\(359\) 6.85337 + 15.0068i 0.361707 + 0.792028i 0.999757 + 0.0220335i \(0.00701404\pi\)
−0.638050 + 0.769995i \(0.720259\pi\)
\(360\) −3.26921 + 2.10100i −0.172303 + 0.110732i
\(361\) 16.4409 + 4.82749i 0.865312 + 0.254079i
\(362\) 0.371967 + 2.58708i 0.0195501 + 0.135974i
\(363\) −3.94854 + 8.64610i −0.207245 + 0.453803i
\(364\) 1.93253 13.4411i 0.101292 0.704503i
\(365\) −40.3855 25.9542i −2.11387 1.35850i
\(366\) −2.13277 2.46135i −0.111482 0.128657i
\(367\) −27.6912 −1.44547 −0.722736 0.691125i \(-0.757116\pi\)
−0.722736 + 0.691125i \(0.757116\pi\)
\(368\) 1.00102 + 4.69020i 0.0521816 + 0.244494i
\(369\) −6.11749 −0.318464
\(370\) 6.41026 + 7.39784i 0.333254 + 0.384595i
\(371\) 37.1442 + 23.8711i 1.92843 + 1.23933i
\(372\) −0.659852 + 4.58937i −0.0342118 + 0.237948i
\(373\) −8.45891 + 18.5224i −0.437986 + 0.959055i 0.553978 + 0.832531i \(0.313109\pi\)
−0.991964 + 0.126524i \(0.959618\pi\)
\(374\) 1.17843 + 8.19616i 0.0609351 + 0.423813i
\(375\) −19.0237 5.58586i −0.982378 0.288452i
\(376\) 2.00326 1.28741i 0.103310 0.0663933i
\(377\) −0.760625 1.66554i −0.0391742 0.0857795i
\(378\) 3.99283 1.17240i 0.205369 0.0603018i
\(379\) 10.0383 11.5848i 0.515631 0.595070i −0.436900 0.899510i \(-0.643924\pi\)
0.952532 + 0.304440i \(0.0984692\pi\)
\(380\) 3.47538 4.01081i 0.178283 0.205750i
\(381\) 9.68893 2.84493i 0.496379 0.145750i
\(382\) 2.55534 + 5.59540i 0.130742 + 0.286286i
\(383\) −17.4189 + 11.1945i −0.890065 + 0.572010i −0.903828 0.427895i \(-0.859255\pi\)
0.0137632 + 0.999905i \(0.495619\pi\)
\(384\) 0.959493 + 0.281733i 0.0489639 + 0.0143771i
\(385\) 10.4216 + 72.4842i 0.531136 + 3.69413i
\(386\) 3.54355 7.75930i 0.180362 0.394938i
\(387\) −1.40214 + 9.75211i −0.0712749 + 0.495728i
\(388\) 15.8794 + 10.2051i 0.806155 + 0.518084i
\(389\) 22.5491 + 26.0230i 1.14328 + 1.31942i 0.940343 + 0.340227i \(0.110504\pi\)
0.202939 + 0.979191i \(0.434951\pi\)
\(390\) −12.6810 −0.642128
\(391\) 7.04113 5.22790i 0.356085 0.264386i
\(392\) 10.3172 0.521099
\(393\) 4.92385 + 5.68243i 0.248375 + 0.286641i
\(394\) 2.76779 + 1.77875i 0.139439 + 0.0896123i
\(395\) 4.66622 32.4542i 0.234783 1.63295i
\(396\) 1.88110 4.11904i 0.0945290 0.206990i
\(397\) 3.76408 + 26.1797i 0.188914 + 1.31392i 0.834827 + 0.550513i \(0.185568\pi\)
−0.645913 + 0.763411i \(0.723523\pi\)
\(398\) −19.2150 5.64203i −0.963161 0.282810i
\(399\) −4.78083 + 3.07246i −0.239341 + 0.153815i
\(400\) 4.19650 + 9.18906i 0.209825 + 0.459453i
\(401\) 17.1744 5.04286i 0.857649 0.251829i 0.176795 0.984248i \(-0.443427\pi\)
0.680854 + 0.732419i \(0.261609\pi\)
\(402\) −4.11751 + 4.75186i −0.205363 + 0.237001i
\(403\) −9.90793 + 11.4344i −0.493549 + 0.569586i
\(404\) 1.05838 0.310768i 0.0526563 0.0154613i
\(405\) −1.61435 3.53494i −0.0802179 0.175653i
\(406\) 1.96434 1.26241i 0.0974886 0.0626522i
\(407\) −10.9442 3.21350i −0.542482 0.159287i
\(408\) −0.260239 1.81001i −0.0128838 0.0896086i
\(409\) −3.93720 + 8.62128i −0.194682 + 0.426295i −0.981648 0.190702i \(-0.938924\pi\)
0.786966 + 0.616997i \(0.211651\pi\)
\(410\) −3.38330 + 23.5313i −0.167089 + 1.16213i
\(411\) 12.0304 + 7.73145i 0.593414 + 0.381364i
\(412\) −2.20457 2.54421i −0.108612 0.125344i
\(413\) −29.7649 −1.46464
\(414\) −4.78492 + 0.323343i −0.235166 + 0.0158914i
\(415\) 1.46519 0.0719232
\(416\) 2.13691 + 2.46613i 0.104771 + 0.120912i
\(417\) −18.3396 11.7861i −0.898092 0.577169i
\(418\) −0.880072 + 6.12103i −0.0430457 + 0.299390i
\(419\) −9.31071 + 20.3876i −0.454858 + 0.996000i 0.533771 + 0.845629i \(0.320774\pi\)
−0.988630 + 0.150372i \(0.951953\pi\)
\(420\) −2.30147 16.0071i −0.112300 0.781067i
\(421\) 1.46821 + 0.431105i 0.0715561 + 0.0210108i 0.317315 0.948320i \(-0.397219\pi\)
−0.245759 + 0.969331i \(0.579037\pi\)
\(422\) 2.20682 1.41823i 0.107426 0.0690386i
\(423\) 0.989217 + 2.16608i 0.0480974 + 0.105319i
\(424\) −10.1804 + 2.98924i −0.494405 + 0.145171i
\(425\) 12.0970 13.9607i 0.586790 0.677192i
\(426\) −4.22647 + 4.87760i −0.204773 + 0.236321i
\(427\) 13.0040 3.81832i 0.629308 0.184781i
\(428\) −4.36118 9.54966i −0.210806 0.461600i
\(429\) 12.4307 7.98871i 0.600159 0.385699i
\(430\) 36.7367 + 10.7869i 1.77160 + 0.520189i
\(431\) −0.0173124 0.120411i −0.000833910 0.00579997i 0.989400 0.145214i \(-0.0463871\pi\)
−0.990234 + 0.139414i \(0.955478\pi\)
\(432\) −0.415415 + 0.909632i −0.0199867 + 0.0437647i
\(433\) −4.98003 + 34.6369i −0.239325 + 1.66454i 0.416127 + 0.909306i \(0.363387\pi\)
−0.655452 + 0.755236i \(0.727522\pi\)
\(434\) −16.2317 10.4315i −0.779144 0.500726i
\(435\) −1.42796 1.64795i −0.0684655 0.0790134i
\(436\) −1.27668 −0.0611418
\(437\) 6.14540 2.26466i 0.293974 0.108334i
\(438\) −12.3533 −0.590262
\(439\) 14.1236 + 16.2995i 0.674082 + 0.777932i 0.985009 0.172502i \(-0.0551850\pi\)
−0.310927 + 0.950434i \(0.600640\pi\)
\(440\) −14.8038 9.51384i −0.705745 0.453554i
\(441\) −1.46830 + 10.2122i −0.0699189 + 0.486296i
\(442\) 2.47881 5.42783i 0.117905 0.258176i
\(443\) 0.470047 + 3.26925i 0.0223326 + 0.155327i 0.997936 0.0642127i \(-0.0204536\pi\)
−0.975604 + 0.219539i \(0.929545\pi\)
\(444\) 2.41686 + 0.709655i 0.114699 + 0.0336787i
\(445\) −49.7082 + 31.9455i −2.35640 + 1.51436i
\(446\) 1.41615 + 3.10093i 0.0670566 + 0.146833i
\(447\) −1.99665 + 0.586268i −0.0944381 + 0.0277295i
\(448\) −2.72514 + 3.14498i −0.128751 + 0.148586i
\(449\) −14.5964 + 16.8451i −0.688846 + 0.794971i −0.987200 0.159484i \(-0.949017\pi\)
0.298354 + 0.954455i \(0.403562\pi\)
\(450\) −9.69275 + 2.84605i −0.456921 + 0.134164i
\(451\) −11.5076 25.1982i −0.541873 1.18654i
\(452\) 14.8828 9.56462i 0.700030 0.449882i
\(453\) 18.0081 + 5.28767i 0.846097 + 0.248436i
\(454\) −2.10719 14.6558i −0.0988954 0.687832i
\(455\) 21.9218 48.0020i 1.02771 2.25037i
\(456\) 0.194351 1.35174i 0.00910134 0.0633012i
\(457\) −30.3801 19.5241i −1.42112 0.913299i −0.999980 0.00630408i \(-0.997993\pi\)
−0.421141 0.906995i \(-0.638370\pi\)
\(458\) −6.41479 7.40306i −0.299743 0.345922i
\(459\) 1.82862 0.0853526
\(460\) −1.40255 + 18.5843i −0.0653944 + 0.866499i
\(461\) 31.5662 1.47018 0.735091 0.677968i \(-0.237139\pi\)
0.735091 + 0.677968i \(0.237139\pi\)
\(462\) 12.3401 + 14.2412i 0.574113 + 0.662562i
\(463\) −23.4268 15.0555i −1.08874 0.699688i −0.132177 0.991226i \(-0.542197\pi\)
−0.956559 + 0.291538i \(0.905833\pi\)
\(464\) −0.0798548 + 0.555402i −0.00370717 + 0.0257839i
\(465\) −7.48506 + 16.3900i −0.347111 + 0.760068i
\(466\) 0.562901 + 3.91507i 0.0260759 + 0.181362i
\(467\) −0.565960 0.166181i −0.0261895 0.00768994i 0.268612 0.963249i \(-0.413435\pi\)
−0.294801 + 0.955559i \(0.595253\pi\)
\(468\) −2.74514 + 1.76419i −0.126894 + 0.0815499i
\(469\) −10.8694 23.8008i −0.501904 1.09902i
\(470\) 8.87908 2.60713i 0.409561 0.120258i
\(471\) −1.30653 + 1.50782i −0.0602017 + 0.0694765i
\(472\) 4.68397 5.40559i 0.215597 0.248813i
\(473\) −42.8069 + 12.5692i −1.96826 + 0.577935i
\(474\) −3.50494 7.67474i −0.160987 0.352513i
\(475\) 11.6057 7.45850i 0.532504 0.342219i
\(476\) 7.30137 + 2.14387i 0.334658 + 0.0982643i
\(477\) −1.50999 10.5022i −0.0691378 0.480864i
\(478\) −4.08249 + 8.93942i −0.186729 + 0.408879i
\(479\) 1.46379 10.1809i 0.0668823 0.465177i −0.928665 0.370918i \(-0.879043\pi\)
0.995548 0.0942583i \(-0.0300480\pi\)
\(480\) 3.26921 + 2.10100i 0.149219 + 0.0958969i
\(481\) 5.38266 + 6.21192i 0.245428 + 0.283239i
\(482\) 21.6867 0.987804
\(483\) 7.04776 18.6715i 0.320684 0.849583i
\(484\) 9.50505 0.432048
\(485\) 48.0367 + 55.4373i 2.18123 + 2.51728i
\(486\) −0.841254 0.540641i −0.0381600 0.0245240i
\(487\) 3.91425 27.2242i 0.177372 1.23365i −0.685443 0.728127i \(-0.740391\pi\)
0.862814 0.505521i \(-0.168700\pi\)
\(488\) −1.35294 + 2.96252i −0.0612446 + 0.134107i
\(489\) 0.0994738 + 0.691855i 0.00449836 + 0.0312868i
\(490\) 38.4700 + 11.2958i 1.73790 + 0.510292i
\(491\) 7.39546 4.75278i 0.333753 0.214490i −0.363021 0.931781i \(-0.618255\pi\)
0.696773 + 0.717291i \(0.254618\pi\)
\(492\) 2.54130 + 5.56467i 0.114571 + 0.250875i
\(493\) 0.984500 0.289075i 0.0443396 0.0130193i
\(494\) 2.91826 3.36785i 0.131299 0.151527i
\(495\) 11.5238 13.2992i 0.517957 0.597754i
\(496\) 4.44875 1.30627i 0.199755 0.0586534i
\(497\) −11.1571 24.4306i −0.500463 1.09586i
\(498\) 0.317178 0.203838i 0.0142131 0.00913420i
\(499\) −22.5980 6.63537i −1.01163 0.297040i −0.266407 0.963861i \(-0.585837\pi\)
−0.745218 + 0.666821i \(0.767655\pi\)
\(500\) 2.82165 + 19.6250i 0.126188 + 0.877656i
\(501\) −2.08886 + 4.57396i −0.0933233 + 0.204349i
\(502\) 1.06037 7.37506i 0.0473268 0.329165i
\(503\) 5.74416 + 3.69155i 0.256119 + 0.164598i 0.662400 0.749151i \(-0.269538\pi\)
−0.406280 + 0.913748i \(0.633174\pi\)
\(504\) −2.72514 3.14498i −0.121387 0.140088i
\(505\) 4.28663 0.190752
\(506\) −10.3328 19.1010i −0.459348 0.849145i
\(507\) 2.35183 0.104449
\(508\) −6.61277 7.63154i −0.293394 0.338595i
\(509\) 15.7629 + 10.1302i 0.698680 + 0.449014i 0.841162 0.540783i \(-0.181872\pi\)
−0.142482 + 0.989797i \(0.545508\pi\)
\(510\) 1.01132 7.03390i 0.0447821 0.311466i
\(511\) 21.3552 46.7613i 0.944698 2.06860i
\(512\) −0.142315 0.989821i −0.00628949 0.0437443i
\(513\) 1.31033 + 0.384746i 0.0578523 + 0.0169870i
\(514\) 3.45133 2.21804i 0.152232 0.0978335i
\(515\) −5.43469 11.9003i −0.239481 0.524390i
\(516\) 9.45330 2.77574i 0.416158 0.122195i
\(517\) −7.06137 + 8.14926i −0.310559 + 0.358404i
\(518\) −6.86434 + 7.92187i −0.301602 + 0.348067i
\(519\) −8.33087 + 2.44617i −0.365685 + 0.107375i
\(520\) 5.26788 + 11.5351i 0.231012 + 0.505846i
\(521\) 26.2821 16.8905i 1.15144 0.739986i 0.181516 0.983388i \(-0.441900\pi\)
0.969926 + 0.243402i \(0.0782633\pi\)
\(522\) −0.538385 0.158084i −0.0235645 0.00691915i
\(523\) −1.94917 13.5568i −0.0852312 0.592796i −0.987017 0.160613i \(-0.948653\pi\)
0.901786 0.432182i \(-0.142256\pi\)
\(524\) 3.12348 6.83946i 0.136450 0.298783i
\(525\) 5.98267 41.6103i 0.261105 1.81602i
\(526\) −22.5494 14.4916i −0.983202 0.631866i
\(527\) −5.55224 6.40763i −0.241860 0.279121i
\(528\) −4.52825 −0.197067
\(529\) −12.5863 + 19.2506i −0.547231 + 0.836981i
\(530\) −41.2326 −1.79103
\(531\) 4.68397 + 5.40559i 0.203267 + 0.234583i
\(532\) 4.78083 + 3.07246i 0.207275 + 0.133208i
\(533\) −2.84093 + 19.7591i −0.123054 + 0.855863i
\(534\) −6.31636 + 13.8309i −0.273336 + 0.598522i
\(535\) −5.80616 40.3827i −0.251022 1.74590i
\(536\) 6.03292 + 1.77143i 0.260583 + 0.0765139i
\(537\) 9.73773 6.25806i 0.420214 0.270055i
\(538\) −2.38572 5.22400i −0.102856 0.225223i
\(539\) −44.8266 + 13.1623i −1.93082 + 0.566939i
\(540\) −2.54487 + 2.93694i −0.109514 + 0.126386i
\(541\) −15.6006 + 18.0041i −0.670723 + 0.774055i −0.984489 0.175445i \(-0.943864\pi\)
0.313766 + 0.949500i \(0.398409\pi\)
\(542\) −6.65501 + 1.95409i −0.285857 + 0.0839352i
\(543\) 1.08577 + 2.37749i 0.0465947 + 0.102028i
\(544\) −1.53833 + 0.988626i −0.0659554 + 0.0423870i
\(545\) −4.76036 1.39777i −0.203912 0.0598738i
\(546\) −1.93253 13.4411i −0.0827048 0.575224i
\(547\) −9.15200 + 20.0401i −0.391311 + 0.856852i 0.606766 + 0.794880i \(0.292466\pi\)
−0.998078 + 0.0619723i \(0.980261\pi\)
\(548\) 2.03518 14.1550i 0.0869385 0.604670i
\(549\) −2.73982 1.76078i −0.116933 0.0751482i
\(550\) −29.9561 34.5711i −1.27733 1.47412i
\(551\) 0.766281 0.0326447
\(552\) 2.28185 + 4.21819i 0.0971220 + 0.179538i
\(553\) 35.1105 1.49305
\(554\) 2.49518 + 2.87959i 0.106010 + 0.122342i
\(555\) 8.23481 + 5.29219i 0.349548 + 0.224641i
\(556\) −3.10250 + 21.5784i −0.131575 + 0.915127i
\(557\) 4.15715 9.10289i 0.176144 0.385702i −0.800882 0.598822i \(-0.795636\pi\)
0.977026 + 0.213121i \(0.0683628\pi\)
\(558\) 0.659852 + 4.58937i 0.0279338 + 0.194284i
\(559\) 30.8476 + 9.05767i 1.30471 + 0.383098i
\(560\) −13.6045 + 8.74308i −0.574895 + 0.369463i
\(561\) 3.43982 + 7.53215i 0.145229 + 0.318008i
\(562\) −17.4366 + 5.11985i −0.735519 + 0.215968i
\(563\) −8.93843 + 10.3155i −0.376710 + 0.434747i −0.912169 0.409815i \(-0.865593\pi\)
0.535459 + 0.844561i \(0.320139\pi\)
\(564\) 1.55940 1.79965i 0.0656627 0.0757788i
\(565\) 65.9655 19.3692i 2.77519 0.814870i
\(566\) −7.10232 15.5519i −0.298533 0.653696i
\(567\) 3.50079 2.24982i 0.147019 0.0944836i
\(568\) 6.19256 + 1.81830i 0.259834 + 0.0762942i
\(569\) −2.92081 20.3147i −0.122447 0.851637i −0.954770 0.297346i \(-0.903899\pi\)
0.832323 0.554291i \(-0.187011\pi\)
\(570\) 2.20463 4.82747i 0.0923419 0.202200i
\(571\) 1.46949 10.2205i 0.0614963 0.427716i −0.935694 0.352812i \(-0.885226\pi\)
0.997191 0.0749046i \(-0.0238652\pi\)
\(572\) −12.4307 7.98871i −0.519753 0.334025i
\(573\) 4.02823 + 4.64883i 0.168282 + 0.194208i
\(574\) −25.4573 −1.06257
\(575\) −17.1087 + 45.3258i −0.713482 + 1.89022i
\(576\) 1.00000 0.0416667
\(577\) −26.7283 30.8461i −1.11271 1.28414i −0.954984 0.296656i \(-0.904129\pi\)
−0.157728 0.987483i \(-0.550417\pi\)
\(578\) −11.4883 7.38308i −0.477850 0.307095i
\(579\) 1.21397 8.44333i 0.0504508 0.350893i
\(580\) −0.905836 + 1.98350i −0.0376128 + 0.0823605i
\(581\) 0.223288 + 1.55300i 0.00926356 + 0.0644295i
\(582\) 18.1113 + 5.31795i 0.750737 + 0.220436i
\(583\) 40.4186 25.9755i 1.67397 1.07579i
\(584\) 5.13173 + 11.2369i 0.212353 + 0.464987i
\(585\) −12.1673 + 3.57265i −0.503058 + 0.147711i
\(586\) 8.54886 9.86591i 0.353150 0.407557i
\(587\) −28.1493 + 32.4861i −1.16185 + 1.34084i −0.232079 + 0.972697i \(0.574553\pi\)
−0.929768 + 0.368146i \(0.879993\pi\)
\(588\) 9.89932 2.90670i 0.408241 0.119870i
\(589\) −2.63037 5.75970i −0.108382 0.237324i
\(590\) 23.3835 15.0276i 0.962682 0.618678i
\(591\) 3.15681 + 0.926923i 0.129854 + 0.0381285i
\(592\) −0.358476 2.49326i −0.0147333 0.102472i
\(593\) −10.3634 + 22.6928i −0.425576 + 0.931881i 0.568448 + 0.822719i \(0.307544\pi\)
−0.994024 + 0.109162i \(0.965183\pi\)
\(594\) 0.644437 4.48216i 0.0264416 0.183905i
\(595\) 24.8774 + 15.9878i 1.01988 + 0.655434i
\(596\) 1.36272 + 1.57267i 0.0558194 + 0.0644190i
\(597\) −20.0262 −0.819618
\(598\) −1.17772 + 15.6052i −0.0481604 + 0.638142i
\(599\) 33.7284 1.37811 0.689053 0.724711i \(-0.258027\pi\)
0.689053 + 0.724711i \(0.258027\pi\)
\(600\) 6.61537 + 7.63454i 0.270071 + 0.311679i
\(601\) 33.5327 + 21.5502i 1.36783 + 0.879049i 0.998732 0.0503423i \(-0.0160312\pi\)
0.369095 + 0.929392i \(0.379668\pi\)
\(602\) −5.83487 + 40.5824i −0.237812 + 1.65402i
\(603\) −2.61197 + 5.71942i −0.106368 + 0.232913i
\(604\) −2.67102 18.5774i −0.108682 0.755902i
\(605\) 35.4416 + 10.4066i 1.44090 + 0.423088i
\(606\) 0.927953 0.596359i 0.0376955 0.0242254i
\(607\) 11.9674 + 26.2049i 0.485741 + 1.06362i 0.980845 + 0.194790i \(0.0624027\pi\)
−0.495104 + 0.868834i \(0.664870\pi\)
\(608\) −1.31033 + 0.384746i −0.0531407 + 0.0156035i
\(609\) 1.52911 1.76469i 0.0619627 0.0715088i
\(610\) −8.28822 + 9.56512i −0.335580 + 0.387280i
\(611\) 7.45571 2.18919i 0.301626 0.0885653i
\(612\) −0.759635 1.66337i −0.0307064 0.0672377i
\(613\) −24.3644 + 15.6581i −0.984070 + 0.632423i −0.930558 0.366144i \(-0.880678\pi\)
−0.0535115 + 0.998567i \(0.517041\pi\)
\(614\) 23.1100 + 6.78571i 0.932644 + 0.273849i
\(615\) 3.38330 + 23.5313i 0.136428 + 0.948876i
\(616\) 7.82802 17.1410i 0.315400 0.690629i
\(617\) 3.70256 25.7519i 0.149060 1.03673i −0.768704 0.639605i \(-0.779098\pi\)
0.917764 0.397127i \(-0.129993\pi\)
\(618\) −2.83206 1.82006i −0.113922 0.0732134i
\(619\) −13.9138 16.0574i −0.559244 0.645402i 0.403768 0.914862i \(-0.367700\pi\)
−0.963012 + 0.269459i \(0.913155\pi\)
\(620\) 18.0183 0.723631
\(621\) −4.50000 + 1.65831i −0.180579 + 0.0665458i
\(622\) 2.64709 0.106139
\(623\) −41.4355 47.8192i −1.66008 1.91583i
\(624\) 2.74514 + 1.76419i 0.109894 + 0.0706243i
\(625\) −3.77698 + 26.2695i −0.151079 + 1.05078i
\(626\) −10.3916 + 22.7544i −0.415332 + 0.909450i
\(627\) 0.880072 + 6.12103i 0.0351467 + 0.244451i
\(628\) 1.91431 + 0.562092i 0.0763892 + 0.0224299i
\(629\) −3.87490 + 2.49025i −0.154502 + 0.0992926i
\(630\) −6.71797 14.7103i −0.267650 0.586072i
\(631\) −16.4814 + 4.83937i −0.656113 + 0.192652i −0.592810 0.805342i \(-0.701982\pi\)
−0.0633031 + 0.997994i \(0.520163\pi\)
\(632\) −5.52519 + 6.37641i −0.219780 + 0.253640i
\(633\) 1.71786 1.98252i 0.0682789 0.0787980i
\(634\) 2.82112 0.828355i 0.112041 0.0328982i
\(635\) −16.3017 35.6957i −0.646913 1.41654i
\(636\) −8.92588 + 5.73632i −0.353934 + 0.227460i
\(637\) 32.3030 + 9.48501i 1.27989 + 0.375810i
\(638\) −0.361603 2.51500i −0.0143160 0.0995698i
\(639\) −2.68109 + 5.87076i −0.106062 + 0.232244i
\(640\) 0.553053 3.84657i 0.0218613 0.152049i
\(641\) −1.99719 1.28351i −0.0788841 0.0506957i 0.500604 0.865676i \(-0.333111\pi\)
−0.579488 + 0.814981i \(0.696748\pi\)
\(642\) −6.87497 7.93414i −0.271334 0.313136i
\(643\) 46.5640 1.83630 0.918152 0.396229i \(-0.129681\pi\)
0.918152 + 0.396229i \(0.129681\pi\)
\(644\) −19.9120 + 1.34556i −0.784641 + 0.0530224i
\(645\) 38.2876 1.50757
\(646\) 1.63534 + 1.88729i 0.0643418 + 0.0742544i
\(647\) −8.05133 5.17427i −0.316530 0.203422i 0.372722 0.927943i \(-0.378425\pi\)
−0.689252 + 0.724521i \(0.742061\pi\)
\(648\) −0.142315 + 0.989821i −0.00559065 + 0.0388839i
\(649\) −13.4548 + 29.4620i −0.528148 + 1.15648i
\(650\) 4.69130 + 32.6287i 0.184008 + 1.27980i
\(651\) −18.5130 5.43592i −0.725583 0.213050i
\(652\) 0.588011 0.377892i 0.0230283 0.0147994i
\(653\) −13.3634 29.2618i −0.522951 1.14510i −0.968310 0.249751i \(-0.919651\pi\)
0.445359 0.895352i \(-0.353076\pi\)
\(654\) −1.22496 + 0.359682i −0.0478999 + 0.0140647i
\(655\) 19.1347 22.0826i 0.747654 0.862839i
\(656\) 4.00611 4.62329i 0.156412 0.180509i
\(657\) −11.8529 + 3.48032i −0.462425 + 0.135780i
\(658\) 4.11653 + 9.01394i 0.160479 + 0.351400i
\(659\) 1.52992 0.983217i 0.0595970 0.0383007i −0.510503 0.859876i \(-0.670541\pi\)
0.570100 + 0.821575i \(0.306904\pi\)
\(660\) −16.8845 4.95774i −0.657229 0.192980i
\(661\) −5.79394 40.2978i −0.225358 1.56740i −0.717295 0.696770i \(-0.754620\pi\)
0.491936 0.870631i \(-0.336289\pi\)
\(662\) −0.506133 + 1.10828i −0.0196714 + 0.0430744i
\(663\) 0.849201 5.90632i 0.0329802 0.229383i
\(664\) −0.317178 0.203838i −0.0123089 0.00791045i
\(665\) 14.4625 + 16.6906i 0.560830 + 0.647233i
\(666\) 2.51890 0.0976053
\(667\) −2.16058 + 1.60419i −0.0836579 + 0.0621144i
\(668\) 5.02836 0.194553
\(669\) 2.23242 + 2.57635i 0.0863103 + 0.0996074i
\(670\) 20.5556 + 13.2103i 0.794131 + 0.510357i
\(671\) 2.09883 14.5977i 0.0810243 0.563536i
\(672\) −1.72871 + 3.78534i −0.0666863 + 0.146023i
\(673\) 1.83983 + 12.7963i 0.0709204 + 0.493262i 0.994063 + 0.108805i \(0.0347024\pi\)
−0.923143 + 0.384457i \(0.874389\pi\)
\(674\) −18.2914 5.37083i −0.704557 0.206877i
\(675\) −8.49830 + 5.46153i −0.327100 + 0.210214i
\(676\) −0.976986 2.13930i −0.0375764 0.0822808i
\(677\) −6.54833 + 1.92276i −0.251673 + 0.0738978i −0.405136 0.914257i \(-0.632776\pi\)
0.153463 + 0.988154i \(0.450958\pi\)
\(678\) 11.5853 13.3702i 0.444931 0.513478i
\(679\) −51.4394 + 59.3642i −1.97406 + 2.27819i
\(680\) −6.81838 + 2.00206i −0.261473 + 0.0767754i
\(681\) −6.15086 13.4685i −0.235702 0.516114i
\(682\) −17.6626 + 11.3510i −0.676335 + 0.434654i
\(683\) −1.81814 0.533855i −0.0695693 0.0204274i 0.246763 0.969076i \(-0.420633\pi\)
−0.316332 + 0.948649i \(0.602451\pi\)
\(684\) −0.194351 1.35174i −0.00743121 0.0516852i
\(685\) 23.0861 50.5515i 0.882075 1.93147i
\(686\) −1.96456 + 13.6638i −0.0750074 + 0.521688i
\(687\) −8.24062 5.29593i −0.314399 0.202052i
\(688\) −6.45195 7.44594i −0.245978 0.283874i
\(689\) −34.6228 −1.31902
\(690\) 3.89007 + 18.2267i 0.148093 + 0.693878i
\(691\) −14.4219 −0.548635 −0.274317 0.961639i \(-0.588452\pi\)
−0.274317 + 0.961639i \(0.588452\pi\)
\(692\) 5.68588 + 6.56186i 0.216145 + 0.249444i
\(693\) 15.8525 + 10.1878i 0.602185 + 0.387001i
\(694\) 1.75853 12.2309i 0.0667530 0.464278i
\(695\) −35.1933 + 77.0627i −1.33496 + 2.92315i
\(696\) 0.0798548 + 0.555402i 0.00302689 + 0.0210525i
\(697\) −10.7334 3.15162i −0.406557 0.119376i
\(698\) −13.1919 + 8.47794i −0.499322 + 0.320895i
\(699\) 1.64310 + 3.59789i 0.0621478 + 0.136085i
\(700\) −40.3354 + 11.8435i −1.52453 + 0.447644i
\(701\) −23.6742 + 27.3215i −0.894164 + 1.03192i 0.105134 + 0.994458i \(0.466473\pi\)
−0.999298 + 0.0374621i \(0.988073\pi\)
\(702\) −2.13691 + 2.46613i −0.0806525 + 0.0930779i
\(703\) −3.30057 + 0.969136i −0.124484 + 0.0365517i
\(704\) 1.88110 + 4.11904i 0.0708967 + 0.155242i
\(705\) 7.78490 5.00305i 0.293196 0.188426i
\(706\) −29.2783 8.59688i −1.10190 0.323548i
\(707\) 0.653264 + 4.54355i 0.0245685 + 0.170878i
\(708\) 2.97131 6.50625i 0.111669 0.244520i
\(709\) −2.70692 + 18.8271i −0.101661 + 0.707066i 0.873703 + 0.486461i \(0.161712\pi\)
−0.975363 + 0.220605i \(0.929197\pi\)
\(710\) 21.0995 + 13.5598i 0.791850 + 0.508891i
\(711\) −5.52519 6.37641i −0.207211 0.239134i
\(712\) 15.2049 0.569829
\(713\) 19.4742 + 10.7332i 0.729316 + 0.401963i
\(714\) 7.60961 0.284782
\(715\) −37.6039 43.3973i −1.40631 1.62297i
\(716\) −9.73773 6.25806i −0.363916 0.233875i
\(717\) −1.39860 + 9.72748i −0.0522317 + 0.363279i
\(718\) 6.85337 15.0068i 0.255766 0.560049i
\(719\) 1.57451 + 10.9509i 0.0587192 + 0.408401i 0.997889 + 0.0649469i \(0.0206878\pi\)
−0.939170 + 0.343454i \(0.888403\pi\)
\(720\) 3.72871 + 1.09485i 0.138961 + 0.0408025i
\(721\) 11.7853 7.57398i 0.438909 0.282070i
\(722\) −7.11814 15.5866i −0.264910 0.580072i
\(723\) 20.8083 6.10986i 0.773868 0.227228i
\(724\) 1.71160 1.97529i 0.0636112 0.0734112i
\(725\) −3.71197 + 4.28385i −0.137859 + 0.159098i
\(726\) 9.12003 2.67788i 0.338476 0.0993855i
\(727\) −2.40641 5.26930i −0.0892488 0.195428i 0.859744 0.510725i \(-0.170623\pi\)
−0.948993 + 0.315297i \(0.897896\pi\)
\(728\) −11.4236 + 7.34151i −0.423387 + 0.272095i
\(729\) −0.959493 0.281733i −0.0355368 0.0104345i
\(730\) 6.83201 + 47.5177i 0.252864 + 1.75871i
\(731\) −7.48423 + 16.3882i −0.276814 + 0.606138i
\(732\) −0.463496 + 3.22369i −0.0171313 + 0.119151i
\(733\) −12.4548 8.00421i −0.460028 0.295642i 0.290026 0.957019i \(-0.406336\pi\)
−0.750054 + 0.661377i \(0.769972\pi\)
\(734\) 18.1339 + 20.9276i 0.669335 + 0.772453i
\(735\) 40.0941 1.47889
\(736\) 2.88909 3.82794i 0.106493 0.141100i
\(737\) −28.4719 −1.04878
\(738\) 4.00611 + 4.62329i 0.147467 + 0.170186i
\(739\) 3.09958 + 1.99198i 0.114020 + 0.0732762i 0.596408 0.802681i \(-0.296594\pi\)
−0.482388 + 0.875958i \(0.660230\pi\)
\(740\) 1.39308 9.68911i 0.0512108 0.356179i
\(741\) 1.85122 4.05360i 0.0680061 0.148913i
\(742\) −6.28368 43.7039i −0.230681 1.60442i
\(743\) 38.9084 + 11.4245i 1.42741 + 0.419125i 0.902004 0.431727i \(-0.142096\pi\)
0.525405 + 0.850852i \(0.323914\pi\)
\(744\) 3.90053 2.50672i 0.143000 0.0919007i
\(745\) 3.35937 + 7.35599i 0.123078 + 0.269503i
\(746\) 19.5377 5.73680i 0.715327 0.210039i
\(747\) 0.246902 0.284941i 0.00903369 0.0104254i
\(748\) 5.42254 6.25794i 0.198268 0.228813i
\(749\) 41.9182 12.3083i 1.53166 0.449736i
\(750\) 8.23635 + 18.0351i 0.300749 + 0.658548i
\(751\) 13.5084 8.68135i 0.492930 0.316787i −0.270453 0.962733i \(-0.587173\pi\)
0.763383 + 0.645946i \(0.223537\pi\)
\(752\) −2.28482 0.670883i −0.0833187 0.0244646i
\(753\) −1.06037 7.37506i −0.0386422 0.268762i
\(754\) −0.760625 + 1.66554i −0.0277003 + 0.0606552i
\(755\) 10.3799 72.1939i 0.377764 2.62741i
\(756\) −3.50079 2.24982i −0.127323 0.0818252i
\(757\) 30.5222 + 35.2245i 1.10935 + 1.28026i 0.956412 + 0.292021i \(0.0943277\pi\)
0.152937 + 0.988236i \(0.451127\pi\)
\(758\) −15.3289 −0.556769
\(759\) −15.2956 15.4162i −0.555196 0.559574i
\(760\) −5.30706 −0.192507
\(761\) 15.9058 + 18.3562i 0.576584 + 0.665413i 0.966867 0.255282i \(-0.0821683\pi\)
−0.390283 + 0.920695i \(0.627623\pi\)
\(762\) −8.49496 5.45938i −0.307740 0.197772i
\(763\) 0.756086 5.25869i 0.0273722 0.190377i
\(764\) 2.55534 5.59540i 0.0924488 0.202435i
\(765\) −1.01132 7.03390i −0.0365644 0.254311i
\(766\) 19.8672 + 5.83353i 0.717830 + 0.210774i
\(767\) 19.6349 12.6186i 0.708977 0.455632i
\(768\) −0.415415 0.909632i −0.0149900 0.0328235i
\(769\) −17.6741 + 5.18957i −0.637343 + 0.187141i −0.584412 0.811457i \(-0.698675\pi\)
−0.0529313 + 0.998598i \(0.516856\pi\)