Properties

Label 43.2.g.a.38.2
Level $43$
Weight $2$
Character 43.38
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 38.2
Character \(\chi\) \(=\) 43.38
Dual form 43.2.g.a.17.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.178150 + 0.780524i) q^{2} +(-0.711521 - 0.219475i) q^{3} +(1.22446 + 0.589667i) q^{4} +(0.511972 + 1.30448i) q^{5} +(0.298063 - 0.516260i) q^{6} +(-2.37928 - 4.12103i) q^{7} +(-1.67671 + 2.10253i) q^{8} +(-2.02062 - 1.37764i) q^{9} +O(q^{10})\) \(q+(-0.178150 + 0.780524i) q^{2} +(-0.711521 - 0.219475i) q^{3} +(1.22446 + 0.589667i) q^{4} +(0.511972 + 1.30448i) q^{5} +(0.298063 - 0.516260i) q^{6} +(-2.37928 - 4.12103i) q^{7} +(-1.67671 + 2.10253i) q^{8} +(-2.02062 - 1.37764i) q^{9} +(-1.10939 + 0.167213i) q^{10} +(2.39760 - 1.15462i) q^{11} +(-0.741809 - 0.688298i) q^{12} +(0.611008 + 0.0920946i) q^{13} +(3.64044 - 1.12293i) q^{14} +(-0.0779770 - 1.04053i) q^{15} +(0.352328 + 0.441805i) q^{16} +(-2.15975 + 5.50296i) q^{17} +(1.43525 - 1.33172i) q^{18} +(-1.48286 + 1.01100i) q^{19} +(-0.142323 + 1.89917i) q^{20} +(0.788443 + 3.45439i) q^{21} +(0.474081 + 2.07708i) q^{22} +(0.178184 - 2.37770i) q^{23} +(1.65447 - 1.12800i) q^{24} +(2.22570 - 2.06515i) q^{25} +(-0.180733 + 0.460500i) q^{26} +(2.52811 + 3.17015i) q^{27} +(-0.483287 - 6.44901i) q^{28} +(-1.79980 + 0.555165i) q^{29} +(0.826051 + 0.124507i) q^{30} +(5.49565 + 5.09922i) q^{31} +(-5.25345 + 2.52993i) q^{32} +(-1.95935 + 0.295325i) q^{33} +(-3.91044 - 2.66609i) q^{34} +(4.15769 - 5.21358i) q^{35} +(-1.66182 - 2.87835i) q^{36} +(1.11406 - 1.92960i) q^{37} +(-0.524936 - 1.33752i) q^{38} +(-0.414532 - 0.199628i) q^{39} +(-3.60115 - 1.11081i) q^{40} +(-0.583954 + 2.55847i) q^{41} -2.83670 q^{42} +(-6.54183 - 0.452170i) q^{43} +3.61660 q^{44} +(0.762602 - 3.34118i) q^{45} +(1.82411 + 0.562664i) q^{46} +(-8.07377 - 3.88812i) q^{47} +(-0.153723 - 0.391681i) q^{48} +(-7.82195 + 13.5480i) q^{49} +(1.21539 + 2.10512i) q^{50} +(2.74447 - 3.44146i) q^{51} +(0.693847 + 0.473057i) q^{52} +(13.5894 - 2.04828i) q^{53} +(-2.92476 + 1.40849i) q^{54} +(2.73369 + 2.53650i) q^{55} +(12.6540 + 1.90728i) q^{56} +(1.27697 - 0.393894i) q^{57} +(-0.112686 - 1.50369i) q^{58} +(-4.23034 - 5.30467i) q^{59} +(0.518087 - 1.32007i) q^{60} +(3.03226 - 2.81353i) q^{61} +(-4.95912 + 3.38107i) q^{62} +(-0.869663 + 11.6048i) q^{63} +(-0.787282 - 3.44931i) q^{64} +(0.192683 + 0.844198i) q^{65} +(0.118550 - 1.58194i) q^{66} +(4.65539 - 3.17399i) q^{67} +(-5.88944 + 5.46460i) q^{68} +(-0.648628 + 1.65268i) q^{69} +(3.32864 + 4.17398i) q^{70} +(-0.641465 - 8.55975i) q^{71} +(6.28454 - 1.93852i) q^{72} +(8.41561 + 1.26845i) q^{73} +(1.30763 + 1.21331i) q^{74} +(-2.03688 + 0.980910i) q^{75} +(-2.41185 + 0.363527i) q^{76} +(-10.4628 - 7.13343i) q^{77} +(0.229663 - 0.287989i) q^{78} +(3.09616 + 5.36270i) q^{79} +(-0.395945 + 0.685797i) q^{80} +(1.57737 + 4.01906i) q^{81} +(-1.89292 - 0.911581i) q^{82} +(-1.21371 - 0.374380i) q^{83} +(-1.07153 + 4.69467i) q^{84} -8.28425 q^{85} +(1.51835 - 5.02550i) q^{86} +1.40244 q^{87} +(-1.59246 + 6.97702i) q^{88} +(-9.04506 - 2.79003i) q^{89} +(2.47202 + 1.19046i) q^{90} +(-1.07423 - 2.73710i) q^{91} +(1.62023 - 2.80632i) q^{92} +(-2.79112 - 4.83436i) q^{93} +(4.47311 - 5.60911i) q^{94} +(-2.07801 - 1.41676i) q^{95} +(4.29319 - 0.647095i) q^{96} +(4.06114 - 1.95574i) q^{97} +(-9.18108 - 8.51880i) q^{98} +(-6.43531 - 0.969967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.178150 + 0.780524i −0.125971 + 0.551914i 0.872072 + 0.489378i \(0.162776\pi\)
−0.998043 + 0.0625363i \(0.980081\pi\)
\(3\) −0.711521 0.219475i −0.410797 0.126714i 0.0824671 0.996594i \(-0.473720\pi\)
−0.493264 + 0.869880i \(0.664196\pi\)
\(4\) 1.22446 + 0.589667i 0.612228 + 0.294834i
\(5\) 0.511972 + 1.30448i 0.228961 + 0.583382i 0.998473 0.0552503i \(-0.0175957\pi\)
−0.769512 + 0.638632i \(0.779500\pi\)
\(6\) 0.298063 0.516260i 0.121684 0.210762i
\(7\) −2.37928 4.12103i −0.899283 1.55760i −0.828412 0.560119i \(-0.810755\pi\)
−0.0708714 0.997485i \(-0.522578\pi\)
\(8\) −1.67671 + 2.10253i −0.592808 + 0.743358i
\(9\) −2.02062 1.37764i −0.673541 0.459213i
\(10\) −1.10939 + 0.167213i −0.350819 + 0.0528775i
\(11\) 2.39760 1.15462i 0.722904 0.348132i −0.0359847 0.999352i \(-0.511457\pi\)
0.758889 + 0.651220i \(0.225742\pi\)
\(12\) −0.741809 0.688298i −0.214142 0.198695i
\(13\) 0.611008 + 0.0920946i 0.169463 + 0.0255424i 0.233226 0.972423i \(-0.425072\pi\)
−0.0637626 + 0.997965i \(0.520310\pi\)
\(14\) 3.64044 1.12293i 0.972947 0.300115i
\(15\) −0.0779770 1.04053i −0.0201336 0.268664i
\(16\) 0.352328 + 0.441805i 0.0880820 + 0.110451i
\(17\) −2.15975 + 5.50296i −0.523817 + 1.33466i 0.387086 + 0.922044i \(0.373482\pi\)
−0.910903 + 0.412621i \(0.864613\pi\)
\(18\) 1.43525 1.33172i 0.338293 0.313890i
\(19\) −1.48286 + 1.01100i −0.340191 + 0.231938i −0.721349 0.692572i \(-0.756478\pi\)
0.381158 + 0.924510i \(0.375525\pi\)
\(20\) −0.142323 + 1.89917i −0.0318245 + 0.424668i
\(21\) 0.788443 + 3.45439i 0.172052 + 0.753810i
\(22\) 0.474081 + 2.07708i 0.101074 + 0.442836i
\(23\) 0.178184 2.37770i 0.0371540 0.495785i −0.947324 0.320277i \(-0.896224\pi\)
0.984478 0.175508i \(-0.0561569\pi\)
\(24\) 1.65447 1.12800i 0.337717 0.230252i
\(25\) 2.22570 2.06515i 0.445140 0.413030i
\(26\) −0.180733 + 0.460500i −0.0354446 + 0.0903114i
\(27\) 2.52811 + 3.17015i 0.486535 + 0.610096i
\(28\) −0.483287 6.44901i −0.0913326 1.21875i
\(29\) −1.79980 + 0.555165i −0.334215 + 0.103092i −0.457320 0.889302i \(-0.651191\pi\)
0.123106 + 0.992394i \(0.460715\pi\)
\(30\) 0.826051 + 0.124507i 0.150816 + 0.0227318i
\(31\) 5.49565 + 5.09922i 0.987048 + 0.915847i 0.996457 0.0841086i \(-0.0268043\pi\)
−0.00940813 + 0.999956i \(0.502995\pi\)
\(32\) −5.25345 + 2.52993i −0.928688 + 0.447232i
\(33\) −1.95935 + 0.295325i −0.341080 + 0.0514095i
\(34\) −3.91044 2.66609i −0.670635 0.457231i
\(35\) 4.15769 5.21358i 0.702778 0.881256i
\(36\) −1.66182 2.87835i −0.276970 0.479726i
\(37\) 1.11406 1.92960i 0.183150 0.317225i −0.759802 0.650155i \(-0.774704\pi\)
0.942951 + 0.332930i \(0.108037\pi\)
\(38\) −0.524936 1.33752i −0.0851559 0.216974i
\(39\) −0.414532 0.199628i −0.0663783 0.0319661i
\(40\) −3.60115 1.11081i −0.569391 0.175634i
\(41\) −0.583954 + 2.55847i −0.0911984 + 0.399566i −0.999838 0.0180157i \(-0.994265\pi\)
0.908639 + 0.417582i \(0.137122\pi\)
\(42\) −2.83670 −0.437712
\(43\) −6.54183 0.452170i −0.997620 0.0689553i
\(44\) 3.61660 0.545224
\(45\) 0.762602 3.34118i 0.113682 0.498074i
\(46\) 1.82411 + 0.562664i 0.268951 + 0.0829603i
\(47\) −8.07377 3.88812i −1.17768 0.567141i −0.260446 0.965489i \(-0.583869\pi\)
−0.917235 + 0.398348i \(0.869584\pi\)
\(48\) −0.153723 0.391681i −0.0221881 0.0565342i
\(49\) −7.82195 + 13.5480i −1.11742 + 1.93543i
\(50\) 1.21539 + 2.10512i 0.171882 + 0.297709i
\(51\) 2.74447 3.44146i 0.384303 0.481901i
\(52\) 0.693847 + 0.473057i 0.0962193 + 0.0656012i
\(53\) 13.5894 2.04828i 1.86665 0.281352i 0.884094 0.467310i \(-0.154777\pi\)
0.982558 + 0.185957i \(0.0595386\pi\)
\(54\) −2.92476 + 1.40849i −0.398010 + 0.191671i
\(55\) 2.73369 + 2.53650i 0.368611 + 0.342021i
\(56\) 12.6540 + 1.90728i 1.69096 + 0.254871i
\(57\) 1.27697 0.393894i 0.169139 0.0521725i
\(58\) −0.112686 1.50369i −0.0147964 0.197444i
\(59\) −4.23034 5.30467i −0.550743 0.690610i 0.426073 0.904689i \(-0.359897\pi\)
−0.976816 + 0.214079i \(0.931325\pi\)
\(60\) 0.518087 1.32007i 0.0668848 0.170420i
\(61\) 3.03226 2.81353i 0.388242 0.360236i −0.461770 0.887000i \(-0.652785\pi\)
0.850011 + 0.526764i \(0.176595\pi\)
\(62\) −4.95912 + 3.38107i −0.629808 + 0.429396i
\(63\) −0.869663 + 11.6048i −0.109567 + 1.46207i
\(64\) −0.787282 3.44931i −0.0984103 0.431164i
\(65\) 0.192683 + 0.844198i 0.0238994 + 0.104710i
\(66\) 0.118550 1.58194i 0.0145925 0.194723i
\(67\) 4.65539 3.17399i 0.568747 0.387765i −0.244530 0.969642i \(-0.578634\pi\)
0.813277 + 0.581877i \(0.197681\pi\)
\(68\) −5.88944 + 5.46460i −0.714200 + 0.662681i
\(69\) −0.648628 + 1.65268i −0.0780856 + 0.198959i
\(70\) 3.32864 + 4.17398i 0.397848 + 0.498886i
\(71\) −0.641465 8.55975i −0.0761278 1.01586i −0.896216 0.443618i \(-0.853695\pi\)
0.820088 0.572237i \(-0.193924\pi\)
\(72\) 6.28454 1.93852i 0.740640 0.228457i
\(73\) 8.41561 + 1.26845i 0.984972 + 0.148461i 0.621728 0.783233i \(-0.286431\pi\)
0.363244 + 0.931694i \(0.381669\pi\)
\(74\) 1.30763 + 1.21331i 0.152009 + 0.141044i
\(75\) −2.03688 + 0.980910i −0.235199 + 0.113266i
\(76\) −2.41185 + 0.363527i −0.276658 + 0.0416994i
\(77\) −10.4628 7.13343i −1.19235 0.812930i
\(78\) 0.229663 0.287989i 0.0260043 0.0326083i
\(79\) 3.09616 + 5.36270i 0.348345 + 0.603351i 0.985956 0.167007i \(-0.0534104\pi\)
−0.637611 + 0.770359i \(0.720077\pi\)
\(80\) −0.395945 + 0.685797i −0.0442680 + 0.0766745i
\(81\) 1.57737 + 4.01906i 0.175263 + 0.446563i
\(82\) −1.89292 0.911581i −0.209038 0.100667i
\(83\) −1.21371 0.374380i −0.133222 0.0410935i 0.227427 0.973795i \(-0.426969\pi\)
−0.360649 + 0.932702i \(0.617445\pi\)
\(84\) −1.07153 + 4.69467i −0.116913 + 0.512231i
\(85\) −8.28425 −0.898553
\(86\) 1.51835 5.02550i 0.163728 0.541914i
\(87\) 1.40244 0.150357
\(88\) −1.59246 + 6.97702i −0.169757 + 0.743752i
\(89\) −9.04506 2.79003i −0.958774 0.295743i −0.224408 0.974495i \(-0.572045\pi\)
−0.734367 + 0.678753i \(0.762521\pi\)
\(90\) 2.47202 + 1.19046i 0.260573 + 0.125485i
\(91\) −1.07423 2.73710i −0.112610 0.286926i
\(92\) 1.62023 2.80632i 0.168921 0.292579i
\(93\) −2.79112 4.83436i −0.289426 0.501300i
\(94\) 4.47311 5.60911i 0.461366 0.578535i
\(95\) −2.07801 1.41676i −0.213199 0.145357i
\(96\) 4.29319 0.647095i 0.438172 0.0660439i
\(97\) 4.06114 1.95574i 0.412346 0.198575i −0.216198 0.976350i \(-0.569366\pi\)
0.628544 + 0.777774i \(0.283651\pi\)
\(98\) −9.18108 8.51880i −0.927429 0.860528i
\(99\) −6.43531 0.969967i −0.646773 0.0974853i
\(100\) 3.94302 1.21626i 0.394302 0.121626i
\(101\) −0.836983 11.1688i −0.0832829 1.11133i −0.869681 0.493614i \(-0.835676\pi\)
0.786398 0.617720i \(-0.211943\pi\)
\(102\) 2.19722 + 2.75522i 0.217557 + 0.272808i
\(103\) −3.78337 + 9.63986i −0.372786 + 0.949844i 0.614216 + 0.789138i \(0.289472\pi\)
−0.987002 + 0.160706i \(0.948623\pi\)
\(104\) −1.21812 + 1.13025i −0.119446 + 0.110830i
\(105\) −4.10253 + 2.79706i −0.400366 + 0.272965i
\(106\) −0.822221 + 10.9718i −0.0798612 + 1.06567i
\(107\) 1.06717 + 4.67559i 0.103168 + 0.452007i 0.999954 + 0.00954399i \(0.00303799\pi\)
−0.896787 + 0.442463i \(0.854105\pi\)
\(108\) 1.22623 + 5.37246i 0.117994 + 0.516965i
\(109\) 1.33576 17.8244i 0.127942 1.70727i −0.451511 0.892266i \(-0.649115\pi\)
0.579453 0.815006i \(-0.303266\pi\)
\(110\) −2.46680 + 1.68184i −0.235200 + 0.160357i
\(111\) −1.21617 + 1.12844i −0.115434 + 0.107107i
\(112\) 0.982408 2.50313i 0.0928288 0.236524i
\(113\) 0.802598 + 1.00643i 0.0755021 + 0.0946766i 0.818148 0.575008i \(-0.195001\pi\)
−0.742646 + 0.669684i \(0.766429\pi\)
\(114\) 0.0799516 + 1.06688i 0.00748815 + 0.0999224i
\(115\) 3.19290 0.984878i 0.297739 0.0918403i
\(116\) −2.53114 0.381508i −0.235011 0.0354221i
\(117\) −1.10774 1.02784i −0.102411 0.0950235i
\(118\) 4.89406 2.35686i 0.450535 0.216966i
\(119\) 27.8166 4.19267i 2.54994 0.384342i
\(120\) 2.31850 + 1.58072i 0.211649 + 0.144300i
\(121\) −2.44305 + 3.06348i −0.222095 + 0.278499i
\(122\) 1.65583 + 2.86799i 0.149912 + 0.259655i
\(123\) 0.977016 1.69224i 0.0880946 0.152584i
\(124\) 3.72235 + 9.48438i 0.334276 + 0.851723i
\(125\) 10.1463 + 4.88621i 0.907514 + 0.437036i
\(126\) −8.90294 2.74619i −0.793137 0.244650i
\(127\) −0.977712 + 4.28364i −0.0867579 + 0.380111i −0.999602 0.0281961i \(-0.991024\pi\)
0.912844 + 0.408307i \(0.133881\pi\)
\(128\) −8.82926 −0.780404
\(129\) 4.55541 + 1.75750i 0.401081 + 0.154739i
\(130\) −0.693244 −0.0608015
\(131\) −3.14191 + 13.7656i −0.274510 + 1.20271i 0.630116 + 0.776501i \(0.283007\pi\)
−0.904626 + 0.426206i \(0.859850\pi\)
\(132\) −2.57329 0.793754i −0.223976 0.0690875i
\(133\) 7.69448 + 3.70547i 0.667196 + 0.321305i
\(134\) 1.64802 + 4.19909i 0.142367 + 0.362746i
\(135\) −2.84109 + 4.92090i −0.244522 + 0.423524i
\(136\) −7.94887 13.7679i −0.681610 1.18058i
\(137\) −5.86675 + 7.35668i −0.501231 + 0.628523i −0.966506 0.256642i \(-0.917384\pi\)
0.465276 + 0.885166i \(0.345955\pi\)
\(138\) −1.17440 0.800694i −0.0999717 0.0681596i
\(139\) −16.5348 + 2.49223i −1.40247 + 0.211388i −0.806316 0.591485i \(-0.798542\pi\)
−0.596151 + 0.802873i \(0.703304\pi\)
\(140\) 8.16519 3.93215i 0.690085 0.332327i
\(141\) 4.89131 + 4.53847i 0.411922 + 0.382208i
\(142\) 6.79537 + 1.02424i 0.570255 + 0.0859521i
\(143\) 1.57129 0.484678i 0.131398 0.0405308i
\(144\) −0.103275 1.37810i −0.00860621 0.114842i
\(145\) −1.64565 2.06358i −0.136664 0.171371i
\(146\) −2.48929 + 6.34261i −0.206015 + 0.524918i
\(147\) 8.53893 7.92297i 0.704279 0.653475i
\(148\) 2.50194 1.70579i 0.205658 0.140215i
\(149\) 0.871916 11.6349i 0.0714302 0.953169i −0.840231 0.542228i \(-0.817581\pi\)
0.911662 0.410942i \(-0.134800\pi\)
\(150\) −0.402755 1.76458i −0.0328848 0.144078i
\(151\) −1.79030 7.84381i −0.145692 0.638320i −0.994053 0.108901i \(-0.965267\pi\)
0.848360 0.529419i \(-0.177590\pi\)
\(152\) 0.360678 4.81291i 0.0292548 0.390378i
\(153\) 11.9451 8.14406i 0.965708 0.658408i
\(154\) 7.43176 6.89567i 0.598868 0.555669i
\(155\) −3.83823 + 9.77964i −0.308294 + 0.785519i
\(156\) −0.389862 0.488872i −0.0312140 0.0391411i
\(157\) 0.566002 + 7.55278i 0.0451719 + 0.602777i 0.973154 + 0.230153i \(0.0739228\pi\)
−0.927982 + 0.372624i \(0.878458\pi\)
\(158\) −4.73730 + 1.46126i −0.376879 + 0.116252i
\(159\) −10.1187 1.52515i −0.802465 0.120952i
\(160\) −5.98987 5.55778i −0.473540 0.439381i
\(161\) −10.2225 + 4.92292i −0.805649 + 0.387980i
\(162\) −3.41798 + 0.515178i −0.268542 + 0.0404762i
\(163\) 5.09936 + 3.47669i 0.399413 + 0.272315i 0.746324 0.665583i \(-0.231817\pi\)
−0.346911 + 0.937898i \(0.612769\pi\)
\(164\) −2.22367 + 2.78840i −0.173640 + 0.217737i
\(165\) −1.38838 2.40475i −0.108085 0.187209i
\(166\) 0.508435 0.880635i 0.0394622 0.0683505i
\(167\) −3.21985 8.20404i −0.249159 0.634848i 0.750502 0.660868i \(-0.229812\pi\)
−0.999661 + 0.0260204i \(0.991717\pi\)
\(168\) −8.58497 4.13430i −0.662345 0.318968i
\(169\) −12.0576 3.71928i −0.927508 0.286098i
\(170\) 1.47584 6.46606i 0.113191 0.495924i
\(171\) 4.38908 0.335642
\(172\) −7.74356 4.41117i −0.590441 0.336348i
\(173\) 6.12350 0.465561 0.232780 0.972529i \(-0.425218\pi\)
0.232780 + 0.972529i \(0.425218\pi\)
\(174\) −0.249844 + 1.09464i −0.0189406 + 0.0829844i
\(175\) −13.8061 4.25862i −1.04364 0.321922i
\(176\) 1.35486 + 0.652467i 0.102127 + 0.0491816i
\(177\) 1.84573 + 4.70284i 0.138733 + 0.353487i
\(178\) 3.78906 6.56285i 0.284002 0.491906i
\(179\) 12.2987 + 21.3020i 0.919250 + 1.59219i 0.800557 + 0.599257i \(0.204537\pi\)
0.118693 + 0.992931i \(0.462130\pi\)
\(180\) 2.90396 3.64145i 0.216448 0.271418i
\(181\) −4.71852 3.21703i −0.350725 0.239120i 0.375124 0.926975i \(-0.377600\pi\)
−0.725848 + 0.687855i \(0.758553\pi\)
\(182\) 2.32775 0.350852i 0.172544 0.0260069i
\(183\) −2.77502 + 1.33638i −0.205135 + 0.0987879i
\(184\) 4.70043 + 4.36137i 0.346521 + 0.321524i
\(185\) 3.08750 + 0.465365i 0.226997 + 0.0342143i
\(186\) 4.27057 1.31730i 0.313134 0.0965889i
\(187\) 1.17562 + 15.6876i 0.0859702 + 1.14719i
\(188\) −7.59328 9.52167i −0.553797 0.694439i
\(189\) 7.04922 17.9611i 0.512755 1.30648i
\(190\) 1.47601 1.36954i 0.107081 0.0993568i
\(191\) 0.303915 0.207206i 0.0219905 0.0149929i −0.552275 0.833662i \(-0.686240\pi\)
0.574265 + 0.818669i \(0.305288\pi\)
\(192\) −0.196870 + 2.62704i −0.0142078 + 0.189590i
\(193\) 1.96944 + 8.62869i 0.141764 + 0.621107i 0.995025 + 0.0996237i \(0.0317639\pi\)
−0.853262 + 0.521483i \(0.825379\pi\)
\(194\) 0.803013 + 3.51823i 0.0576530 + 0.252594i
\(195\) 0.0481827 0.642954i 0.00345044 0.0460429i
\(196\) −17.5665 + 11.9766i −1.25475 + 0.855472i
\(197\) 2.76426 2.56486i 0.196945 0.182738i −0.575535 0.817777i \(-0.695206\pi\)
0.772480 + 0.635039i \(0.219016\pi\)
\(198\) 1.90353 4.85012i 0.135278 0.344683i
\(199\) 7.05704 + 8.84925i 0.500260 + 0.627307i 0.966288 0.257464i \(-0.0828867\pi\)
−0.466028 + 0.884770i \(0.654315\pi\)
\(200\) 0.610179 + 8.14227i 0.0431462 + 0.575746i
\(201\) −4.00902 + 1.23662i −0.282774 + 0.0872244i
\(202\) 8.86660 + 1.33642i 0.623852 + 0.0940305i
\(203\) 6.57009 + 6.09615i 0.461130 + 0.427866i
\(204\) 5.38980 2.59559i 0.377362 0.181728i
\(205\) −3.63645 + 0.548106i −0.253981 + 0.0382814i
\(206\) −6.85014 4.67035i −0.477272 0.325399i
\(207\) −3.63566 + 4.55897i −0.252696 + 0.316870i
\(208\) 0.174587 + 0.302394i 0.0121054 + 0.0209672i
\(209\) −2.38798 + 4.13611i −0.165180 + 0.286101i
\(210\) −1.45231 3.70042i −0.100219 0.255353i
\(211\) 2.57368 + 1.23942i 0.177180 + 0.0853253i 0.520371 0.853940i \(-0.325794\pi\)
−0.343191 + 0.939266i \(0.611508\pi\)
\(212\) 17.8475 + 5.50521i 1.22577 + 0.378100i
\(213\) −1.42224 + 6.23122i −0.0974500 + 0.426956i
\(214\) −3.83953 −0.262465
\(215\) −2.75938 8.76520i −0.188188 0.597782i
\(216\) −10.9043 −0.741942
\(217\) 7.93837 34.7803i 0.538891 2.36104i
\(218\) 13.6744 + 4.21801i 0.926150 + 0.285679i
\(219\) −5.70948 2.74954i −0.385811 0.185797i
\(220\) 1.85160 + 4.71780i 0.124835 + 0.318074i
\(221\) −1.82642 + 3.16345i −0.122858 + 0.212797i
\(222\) −0.664117 1.15029i −0.0445726 0.0772021i
\(223\) 2.73391 3.42821i 0.183076 0.229570i −0.681822 0.731519i \(-0.738812\pi\)
0.864897 + 0.501949i \(0.167383\pi\)
\(224\) 22.9254 + 15.6302i 1.53177 + 1.04434i
\(225\) −7.34233 + 1.10668i −0.489489 + 0.0737786i
\(226\) −0.928523 + 0.447153i −0.0617644 + 0.0297442i
\(227\) 9.09730 + 8.44106i 0.603809 + 0.560253i 0.921714 0.387870i \(-0.126789\pi\)
−0.317905 + 0.948122i \(0.602979\pi\)
\(228\) 1.79586 + 0.270683i 0.118934 + 0.0179264i
\(229\) 9.76205 3.01119i 0.645094 0.198985i 0.0450911 0.998983i \(-0.485642\pi\)
0.600003 + 0.799998i \(0.295166\pi\)
\(230\) 0.199908 + 2.66759i 0.0131816 + 0.175896i
\(231\) 5.87890 + 7.37191i 0.386803 + 0.485036i
\(232\) 1.85050 4.71500i 0.121491 0.309555i
\(233\) −14.9717 + 13.8917i −0.980830 + 0.910077i −0.995959 0.0898086i \(-0.971374\pi\)
0.0151294 + 0.999886i \(0.495184\pi\)
\(234\) 0.999595 0.681513i 0.0653456 0.0445519i
\(235\) 0.938446 12.5227i 0.0612175 0.816891i
\(236\) −2.05187 8.98984i −0.133565 0.585188i
\(237\) −1.02600 4.49520i −0.0666459 0.291995i
\(238\) −1.68303 + 22.4584i −0.109094 + 1.45576i
\(239\) 1.59638 1.08839i 0.103261 0.0704022i −0.510589 0.859825i \(-0.670572\pi\)
0.613850 + 0.789423i \(0.289620\pi\)
\(240\) 0.432239 0.401059i 0.0279009 0.0258882i
\(241\) 5.18733 13.2171i 0.334145 0.851388i −0.660762 0.750595i \(-0.729767\pi\)
0.994907 0.100793i \(-0.0321380\pi\)
\(242\) −1.95590 2.45262i −0.125730 0.157660i
\(243\) −1.14929 15.3362i −0.0737267 0.983815i
\(244\) 5.37192 1.65702i 0.343902 0.106080i
\(245\) −21.6778 3.26740i −1.38494 0.208746i
\(246\) 1.14678 + 1.06406i 0.0731161 + 0.0678418i
\(247\) −0.999145 + 0.481163i −0.0635741 + 0.0306157i
\(248\) −19.9359 + 3.00486i −1.26593 + 0.190809i
\(249\) 0.781412 + 0.532758i 0.0495200 + 0.0337622i
\(250\) −5.62137 + 7.04897i −0.355527 + 0.445816i
\(251\) −4.31293 7.47021i −0.272230 0.471516i 0.697203 0.716874i \(-0.254428\pi\)
−0.969432 + 0.245358i \(0.921094\pi\)
\(252\) −7.90786 + 13.6968i −0.498149 + 0.862819i
\(253\) −2.31814 5.90652i −0.145740 0.371340i
\(254\) −3.16930 1.52626i −0.198860 0.0957658i
\(255\) 5.89441 + 1.81819i 0.369123 + 0.113859i
\(256\) 3.14749 13.7901i 0.196718 0.861879i
\(257\) 12.4670 0.777670 0.388835 0.921307i \(-0.372878\pi\)
0.388835 + 0.921307i \(0.372878\pi\)
\(258\) −2.18331 + 3.24251i −0.135927 + 0.201870i
\(259\) −10.6026 −0.658814
\(260\) −0.261864 + 1.14730i −0.0162401 + 0.0711527i
\(261\) 4.40154 + 1.35769i 0.272448 + 0.0840392i
\(262\) −10.1847 4.90468i −0.629211 0.303012i
\(263\) −6.48661 16.5276i −0.399982 1.01914i −0.979007 0.203827i \(-0.934662\pi\)
0.579025 0.815310i \(-0.303433\pi\)
\(264\) 2.66435 4.61478i 0.163979 0.284020i
\(265\) 9.62934 + 16.6785i 0.591526 + 1.02455i
\(266\) −4.26298 + 5.34560i −0.261380 + 0.327760i
\(267\) 5.82340 + 3.97033i 0.356387 + 0.242980i
\(268\) 7.57193 1.14128i 0.462529 0.0697150i
\(269\) −25.8191 + 12.4338i −1.57422 + 0.758105i −0.998237 0.0593567i \(-0.981095\pi\)
−0.575984 + 0.817461i \(0.695381\pi\)
\(270\) −3.33475 3.09419i −0.202946 0.188307i
\(271\) −18.1205 2.73123i −1.10074 0.165910i −0.426549 0.904464i \(-0.640271\pi\)
−0.674194 + 0.738554i \(0.735509\pi\)
\(272\) −3.19218 + 0.984657i −0.193554 + 0.0597036i
\(273\) 0.163614 + 2.18327i 0.00990235 + 0.132138i
\(274\) −4.69691 5.88973i −0.283750 0.355812i
\(275\) 2.95187 7.52125i 0.178005 0.453549i
\(276\) −1.76875 + 1.64116i −0.106466 + 0.0987860i
\(277\) 5.46901 3.72871i 0.328601 0.224036i −0.387770 0.921756i \(-0.626754\pi\)
0.716371 + 0.697720i \(0.245802\pi\)
\(278\) 1.00043 13.3498i 0.0600019 0.800670i
\(279\) −4.07977 17.8746i −0.244249 1.07013i
\(280\) 3.99047 + 17.4834i 0.238476 + 1.04483i
\(281\) −0.962331 + 12.8414i −0.0574079 + 0.766055i 0.892005 + 0.452025i \(0.149298\pi\)
−0.949413 + 0.314030i \(0.898321\pi\)
\(282\) −4.41377 + 3.00926i −0.262836 + 0.179199i
\(283\) −0.459412 + 0.426272i −0.0273092 + 0.0253393i −0.693709 0.720255i \(-0.744025\pi\)
0.666400 + 0.745594i \(0.267834\pi\)
\(284\) 4.26196 10.8593i 0.252901 0.644380i
\(285\) 1.16760 + 1.46412i 0.0691627 + 0.0867273i
\(286\) 0.0983788 + 1.31277i 0.00581726 + 0.0776260i
\(287\) 11.9329 3.68082i 0.704379 0.217272i
\(288\) 14.1006 + 2.12532i 0.830885 + 0.125236i
\(289\) −13.1562 12.2072i −0.773893 0.718068i
\(290\) 1.90385 0.916844i 0.111798 0.0538389i
\(291\) −3.31882 + 0.500231i −0.194553 + 0.0293241i
\(292\) 9.55658 + 6.51557i 0.559257 + 0.381295i
\(293\) 13.5001 16.9285i 0.788682 0.988976i −0.211251 0.977432i \(-0.567754\pi\)
0.999933 0.0115444i \(-0.00367477\pi\)
\(294\) 4.66286 + 8.07632i 0.271944 + 0.471020i
\(295\) 4.75404 8.23424i 0.276791 0.479416i
\(296\) 2.18910 + 5.57773i 0.127239 + 0.324199i
\(297\) 9.72174 + 4.68174i 0.564113 + 0.271662i
\(298\) 8.92600 + 2.75331i 0.517070 + 0.159495i
\(299\) 0.327845 1.43638i 0.0189598 0.0830683i
\(300\) −3.07248 −0.177390
\(301\) 13.7014 + 28.0349i 0.789738 + 1.61591i
\(302\) 6.44123 0.370651
\(303\) −1.85573 + 8.13050i −0.106609 + 0.467085i
\(304\) −0.969115 0.298932i −0.0555826 0.0171450i
\(305\) 5.22263 + 2.51509i 0.299047 + 0.144013i
\(306\) 4.22862 + 10.7743i 0.241734 + 0.615928i
\(307\) 4.16103 7.20711i 0.237482 0.411332i −0.722509 0.691362i \(-0.757011\pi\)
0.959991 + 0.280030i \(0.0903445\pi\)
\(308\) −8.60492 14.9042i −0.490311 0.849243i
\(309\) 4.80765 6.02860i 0.273498 0.342955i
\(310\) −6.94947 4.73807i −0.394703 0.269104i
\(311\) −13.6228 + 2.05331i −0.772481 + 0.116433i −0.523443 0.852061i \(-0.675353\pi\)
−0.249038 + 0.968494i \(0.580114\pi\)
\(312\) 1.11478 0.536848i 0.0631118 0.0303930i
\(313\) −3.60094 3.34119i −0.203537 0.188855i 0.571818 0.820381i \(-0.306238\pi\)
−0.775355 + 0.631526i \(0.782429\pi\)
\(314\) −5.99596 0.903745i −0.338372 0.0510013i
\(315\) −15.5836 + 4.80689i −0.878034 + 0.270838i
\(316\) 0.628901 + 8.39210i 0.0353785 + 0.472093i
\(317\) 11.7522 + 14.7368i 0.660071 + 0.827703i 0.993351 0.115125i \(-0.0367269\pi\)
−0.333280 + 0.942828i \(0.608155\pi\)
\(318\) 2.99306 7.62619i 0.167842 0.427655i
\(319\) −3.67420 + 3.40916i −0.205716 + 0.190876i
\(320\) 4.09650 2.79294i 0.229001 0.156130i
\(321\) 0.266860 3.56100i 0.0148947 0.198756i
\(322\) −2.02132 8.85596i −0.112643 0.493523i
\(323\) −2.36086 10.3436i −0.131362 0.575534i
\(324\) −0.438494 + 5.85129i −0.0243608 + 0.325072i
\(325\) 1.55011 1.05685i 0.0859846 0.0586233i
\(326\) −3.62209 + 3.36081i −0.200609 + 0.186138i
\(327\) −4.86244 + 12.3893i −0.268893 + 0.685129i
\(328\) −4.40015 5.51761i −0.242957 0.304659i
\(329\) 3.18667 + 42.5232i 0.175687 + 2.34438i
\(330\) 2.12430 0.655260i 0.116939 0.0360709i
\(331\) −3.20077 0.482439i −0.175930 0.0265172i 0.0604862 0.998169i \(-0.480735\pi\)
−0.236416 + 0.971652i \(0.575973\pi\)
\(332\) −1.26538 1.17410i −0.0694465 0.0644369i
\(333\) −4.90938 + 2.36423i −0.269033 + 0.129559i
\(334\) 6.97707 1.05162i 0.381768 0.0575423i
\(335\) 6.52385 + 4.44788i 0.356436 + 0.243014i
\(336\) −1.24838 + 1.56542i −0.0681046 + 0.0854005i
\(337\) −4.83669 8.37738i −0.263471 0.456345i 0.703691 0.710506i \(-0.251534\pi\)
−0.967162 + 0.254161i \(0.918201\pi\)
\(338\) 5.05104 8.74866i 0.274740 0.475864i
\(339\) −0.350180 0.892243i −0.0190192 0.0484600i
\(340\) −10.1437 4.88495i −0.550120 0.264924i
\(341\) 19.0641 + 5.88049i 1.03238 + 0.318446i
\(342\) −0.781914 + 3.42579i −0.0422810 + 0.185245i
\(343\) 41.1325 2.22095
\(344\) 11.9195 12.9963i 0.642655 0.700711i
\(345\) −2.48797 −0.133948
\(346\) −1.09090 + 4.77954i −0.0586471 + 0.256950i
\(347\) 10.4815 + 3.23310i 0.562674 + 0.173562i 0.563028 0.826438i \(-0.309636\pi\)
−0.000353651 1.00000i \(0.500113\pi\)
\(348\) 1.71723 + 0.826973i 0.0920531 + 0.0443304i
\(349\) 7.84116 + 19.9790i 0.419728 + 1.06945i 0.971832 + 0.235674i \(0.0757297\pi\)
−0.552104 + 0.833775i \(0.686175\pi\)
\(350\) 5.78351 10.0173i 0.309142 0.535449i
\(351\) 1.25274 + 2.16981i 0.0668664 + 0.115816i
\(352\) −9.67457 + 12.1315i −0.515656 + 0.646613i
\(353\) −27.5239 18.7655i −1.46495 0.998785i −0.993121 0.117095i \(-0.962642\pi\)
−0.471828 0.881690i \(-0.656406\pi\)
\(354\) −3.99950 + 0.602827i −0.212571 + 0.0320399i
\(355\) 10.8376 5.21913i 0.575202 0.277003i
\(356\) −9.43009 8.74985i −0.499794 0.463741i
\(357\) −20.7122 3.12187i −1.09621 0.165227i
\(358\) −18.8178 + 5.80451i −0.994550 + 0.306778i
\(359\) −0.560334 7.47713i −0.0295733 0.394628i −0.992275 0.124061i \(-0.960408\pi\)
0.962701 0.270567i \(-0.0872110\pi\)
\(360\) 5.74628 + 7.20560i 0.302855 + 0.379769i
\(361\) −5.76472 + 14.6883i −0.303407 + 0.773067i
\(362\) 3.35158 3.10981i 0.176155 0.163448i
\(363\) 2.41064 1.64354i 0.126526 0.0862637i
\(364\) 0.298627 3.98490i 0.0156523 0.208866i
\(365\) 2.65388 + 11.6274i 0.138911 + 0.608607i
\(366\) −0.548707 2.40404i −0.0286814 0.125661i
\(367\) −0.382393 + 5.10269i −0.0199608 + 0.266358i 0.978290 + 0.207240i \(0.0664480\pi\)
−0.998251 + 0.0591184i \(0.981171\pi\)
\(368\) 1.11326 0.759008i 0.0580327 0.0395660i
\(369\) 4.70460 4.36523i 0.244912 0.227245i
\(370\) −0.913265 + 2.32696i −0.0474784 + 0.120973i
\(371\) −40.7741 51.1291i −2.11688 2.65449i
\(372\) −0.566940 7.56529i −0.0293945 0.392242i
\(373\) −31.4395 + 9.69781i −1.62788 + 0.502134i −0.968360 0.249556i \(-0.919715\pi\)
−0.659517 + 0.751690i \(0.729239\pi\)
\(374\) −12.4540 1.87714i −0.643982 0.0970646i
\(375\) −6.14691 5.70350i −0.317425 0.294528i
\(376\) 21.7123 10.4561i 1.11973 0.539232i
\(377\) −1.15082 + 0.173458i −0.0592703 + 0.00893355i
\(378\) 12.7633 + 8.70185i 0.656472 + 0.447575i
\(379\) −5.54243 + 6.94999i −0.284695 + 0.356997i −0.903530 0.428524i \(-0.859034\pi\)
0.618835 + 0.785521i \(0.287605\pi\)
\(380\) −1.70901 2.96009i −0.0876704 0.151850i
\(381\) 1.63581 2.83331i 0.0838053 0.145155i
\(382\) 0.107587 + 0.274127i 0.00550463 + 0.0140256i
\(383\) 12.2349 + 5.89201i 0.625173 + 0.301067i 0.719520 0.694472i \(-0.244362\pi\)
−0.0943467 + 0.995539i \(0.530076\pi\)
\(384\) 6.28220 + 1.93780i 0.320587 + 0.0988880i
\(385\) 3.94876 17.3007i 0.201248 0.881724i
\(386\) −7.08576 −0.360656
\(387\) 12.5957 + 9.92594i 0.640273 + 0.504564i
\(388\) 6.12592 0.310997
\(389\) 0.872197 3.82135i 0.0442222 0.193750i −0.947992 0.318295i \(-0.896890\pi\)
0.992214 + 0.124545i \(0.0397470\pi\)
\(390\) 0.493257 + 0.152150i 0.0249771 + 0.00770440i
\(391\) 12.6996 + 6.11579i 0.642245 + 0.309289i
\(392\) −15.3700 39.1621i −0.776301 1.97798i
\(393\) 5.25674 9.10494i 0.265168 0.459284i
\(394\) 1.50948 + 2.61450i 0.0760466 + 0.131717i
\(395\) −5.41041 + 6.78444i −0.272227 + 0.341362i
\(396\) −7.30780 4.98237i −0.367231 0.250374i
\(397\) 0.912545 0.137544i 0.0457993 0.00690313i −0.126103 0.992017i \(-0.540247\pi\)
0.171902 + 0.985114i \(0.445009\pi\)
\(398\) −8.16426 + 3.93170i −0.409238 + 0.197078i
\(399\) −4.66152 4.32526i −0.233368 0.216534i
\(400\) 1.69657 + 0.255717i 0.0848285 + 0.0127858i
\(401\) −12.9927 + 4.00771i −0.648823 + 0.200136i −0.601661 0.798752i \(-0.705494\pi\)
−0.0471626 + 0.998887i \(0.515018\pi\)
\(402\) −0.251006 3.34944i −0.0125190 0.167055i
\(403\) 2.88828 + 3.62178i 0.143875 + 0.180414i
\(404\) 5.56100 14.1692i 0.276670 0.704944i
\(405\) −4.43523 + 4.11529i −0.220388 + 0.204490i
\(406\) −5.92865 + 4.04209i −0.294234 + 0.200605i
\(407\) 0.443098 5.91274i 0.0219636 0.293083i
\(408\) 2.63409 + 11.5407i 0.130407 + 0.571349i
\(409\) −3.60394 15.7899i −0.178204 0.780761i −0.982459 0.186477i \(-0.940293\pi\)
0.804256 0.594283i \(-0.202564\pi\)
\(410\) 0.220021 2.93598i 0.0108661 0.144998i
\(411\) 5.78892 3.94682i 0.285546 0.194682i
\(412\) −10.3169 + 9.57266i −0.508276 + 0.471611i
\(413\) −11.7956 + 30.0547i −0.580423 + 1.47889i
\(414\) −2.91070 3.64990i −0.143053 0.179383i
\(415\) −0.133013 1.77493i −0.00652935 0.0871281i
\(416\) −3.44289 + 1.06199i −0.168802 + 0.0520684i
\(417\) 12.3119 + 1.85571i 0.602914 + 0.0908747i
\(418\) −2.80292 2.60073i −0.137095 0.127206i
\(419\) 22.4254 10.7995i 1.09555 0.527590i 0.203295 0.979117i \(-0.434835\pi\)
0.892257 + 0.451527i \(0.149121\pi\)
\(420\) −6.67271 + 1.00575i −0.325595 + 0.0490755i
\(421\) 25.5011 + 17.3863i 1.24285 + 0.847359i 0.992672 0.120842i \(-0.0385594\pi\)
0.250175 + 0.968201i \(0.419512\pi\)
\(422\) −1.42590 + 1.78802i −0.0694117 + 0.0870395i
\(423\) 10.9576 + 18.9792i 0.532778 + 0.922799i
\(424\) −18.4790 + 32.0066i −0.897421 + 1.55438i
\(425\) 6.55747 + 16.7082i 0.318084 + 0.810465i
\(426\) −4.61025 2.22018i −0.223367 0.107568i
\(427\) −18.8093 5.80189i −0.910244 0.280773i
\(428\) −1.45034 + 6.35434i −0.0701047 + 0.307149i
\(429\) −1.22438 −0.0591136
\(430\) 7.33304 0.592249i 0.353630 0.0285608i
\(431\) −2.13534 −0.102856 −0.0514278 0.998677i \(-0.516377\pi\)
−0.0514278 + 0.998677i \(0.516377\pi\)
\(432\) −0.509865 + 2.23387i −0.0245309 + 0.107477i
\(433\) 18.6448 + 5.75116i 0.896012 + 0.276383i 0.708359 0.705852i \(-0.249436\pi\)
0.187653 + 0.982235i \(0.439912\pi\)
\(434\) 25.7326 + 12.3922i 1.23521 + 0.594844i
\(435\) 0.718010 + 1.82946i 0.0344259 + 0.0877158i
\(436\) 12.1461 21.0376i 0.581691 1.00752i
\(437\) 2.13962 + 3.70594i 0.102352 + 0.177279i
\(438\) 3.16323 3.96656i 0.151145 0.189530i
\(439\) 11.8985 + 8.11229i 0.567887 + 0.387179i 0.812954 0.582327i \(-0.197858\pi\)
−0.245068 + 0.969506i \(0.578810\pi\)
\(440\) −9.91669 + 1.49470i −0.472759 + 0.0712570i
\(441\) 34.4695 16.5996i 1.64140 0.790459i
\(442\) −2.14378 1.98913i −0.101969 0.0946134i
\(443\) −20.4362 3.08026i −0.970951 0.146347i −0.355633 0.934626i \(-0.615735\pi\)
−0.615319 + 0.788278i \(0.710973\pi\)
\(444\) −2.15456 + 0.664593i −0.102251 + 0.0315402i
\(445\) −0.991267 13.2275i −0.0469906 0.627045i
\(446\) 2.18876 + 2.74462i 0.103641 + 0.129961i
\(447\) −3.17396 + 8.08712i −0.150123 + 0.382508i
\(448\) −12.3416 + 11.4513i −0.583084 + 0.541023i
\(449\) 27.0107 18.4156i 1.27471 0.869084i 0.278883 0.960325i \(-0.410036\pi\)
0.995829 + 0.0912409i \(0.0290833\pi\)
\(450\) 0.444244 5.92802i 0.0209419 0.279450i
\(451\) 1.55398 + 6.80845i 0.0731742 + 0.320597i
\(452\) 0.389290 + 1.70559i 0.0183107 + 0.0802243i
\(453\) −0.447686 + 5.97396i −0.0210341 + 0.280681i
\(454\) −8.20913 + 5.59689i −0.385274 + 0.262675i
\(455\) 3.02052 2.80264i 0.141604 0.131390i
\(456\) −1.31294 + 3.34532i −0.0614842 + 0.156659i
\(457\) 1.92198 + 2.41009i 0.0899066 + 0.112739i 0.824750 0.565497i \(-0.191316\pi\)
−0.734843 + 0.678237i \(0.762744\pi\)
\(458\) 0.611205 + 8.15596i 0.0285597 + 0.381103i
\(459\) −22.9053 + 7.06536i −1.06913 + 0.329783i
\(460\) 4.49031 + 0.676806i 0.209362 + 0.0315562i
\(461\) 15.8067 + 14.6665i 0.736193 + 0.683087i 0.956300 0.292389i \(-0.0944501\pi\)
−0.220107 + 0.975476i \(0.570641\pi\)
\(462\) −6.80128 + 3.27532i −0.316424 + 0.152382i
\(463\) −27.1728 + 4.09564i −1.26283 + 0.190340i −0.746114 0.665818i \(-0.768083\pi\)
−0.516713 + 0.856159i \(0.672844\pi\)
\(464\) −0.879395 0.599562i −0.0408249 0.0278339i
\(465\) 4.87736 6.11602i 0.226182 0.283624i
\(466\) −8.17562 14.1606i −0.378728 0.655977i
\(467\) 15.8517 27.4559i 0.733529 1.27051i −0.221836 0.975084i \(-0.571205\pi\)
0.955366 0.295426i \(-0.0954616\pi\)
\(468\) −0.750303 1.91174i −0.0346828 0.0883703i
\(469\) −24.1566 11.6332i −1.11545 0.537172i
\(470\) 9.60709 + 2.96339i 0.443142 + 0.136691i
\(471\) 1.25492 5.49818i 0.0578238 0.253343i
\(472\) 18.2463 0.839855
\(473\) −16.2068 + 6.46923i −0.745189 + 0.297456i
\(474\) 3.69140 0.169552
\(475\) −1.21254 + 5.31249i −0.0556352 + 0.243754i
\(476\) 36.5325 + 11.2688i 1.67446 + 0.516503i
\(477\) −30.2809 14.5825i −1.38647 0.667688i
\(478\) 0.565122 + 1.43991i 0.0258481 + 0.0658598i
\(479\) −1.49373 + 2.58721i −0.0682502 + 0.118213i −0.898131 0.439728i \(-0.855075\pi\)
0.829881 + 0.557941i \(0.188408\pi\)
\(480\) 3.04212 + 5.26910i 0.138853 + 0.240501i
\(481\) 0.858403 1.07640i 0.0391398 0.0490798i
\(482\) 9.39215 + 6.40346i 0.427801 + 0.291670i
\(483\) 8.35401 1.25916i 0.380120 0.0572939i
\(484\) −4.79784 + 2.31052i −0.218084 + 0.105024i
\(485\) 4.63041 + 4.29640i 0.210256 + 0.195089i
\(486\) 12.1750 + 1.83508i 0.552269 + 0.0832411i
\(487\) −30.1329 + 9.29475i −1.36545 + 0.421186i −0.888956 0.457992i \(-0.848569\pi\)
−0.476494 + 0.879178i \(0.658093\pi\)
\(488\) 0.831300 + 11.0929i 0.0376312 + 0.502153i
\(489\) −2.86526 3.59292i −0.129571 0.162477i
\(490\) 6.41217 16.3379i 0.289672 0.738073i
\(491\) 13.8180 12.8213i 0.623600 0.578616i −0.303778 0.952743i \(-0.598248\pi\)
0.927378 + 0.374127i \(0.122058\pi\)
\(492\) 2.19417 1.49596i 0.0989210 0.0674432i
\(493\) 0.832074 11.1033i 0.0374747 0.500066i
\(494\) −0.197562 0.865576i −0.00888874 0.0389441i
\(495\) −2.02939 8.89134i −0.0912143 0.399636i
\(496\) −0.316591 + 4.22461i −0.0142153 + 0.189690i
\(497\) −33.7488 + 23.0095i −1.51384 + 1.03212i
\(498\) −0.555039 + 0.515001i −0.0248719 + 0.0230777i
\(499\) 11.4840 29.2608i 0.514096 1.30989i −0.404443 0.914563i \(-0.632535\pi\)
0.918539 0.395331i \(-0.129370\pi\)
\(500\) 9.54249 + 11.9659i 0.426753 + 0.535131i
\(501\) 0.490407 + 6.54402i 0.0219097 + 0.292365i
\(502\) 6.59903 2.03553i 0.294529 0.0908502i
\(503\) 22.4500 + 3.38379i 1.00100 + 0.150876i 0.629039 0.777374i \(-0.283449\pi\)
0.371957 + 0.928250i \(0.378687\pi\)
\(504\) −22.9414 21.2865i −1.02189 0.948177i
\(505\) 14.1409 6.80992i 0.629263 0.303037i
\(506\) 5.02316 0.757119i 0.223307 0.0336581i
\(507\) 7.76294 + 5.29268i 0.344764 + 0.235056i
\(508\) −3.72309 + 4.66860i −0.165185 + 0.207136i
\(509\) −8.84121 15.3134i −0.391880 0.678755i 0.600818 0.799386i \(-0.294842\pi\)
−0.992697 + 0.120631i \(0.961508\pi\)
\(510\) −2.46923 + 4.27682i −0.109339 + 0.189381i
\(511\) −14.7958 37.6990i −0.654526 1.66771i
\(512\) −5.70701 2.74835i −0.252217 0.121461i
\(513\) −6.95384 2.14498i −0.307019 0.0947030i
\(514\) −2.22099 + 9.73080i −0.0979637 + 0.429207i
\(515\) −14.5120 −0.639475
\(516\) 4.54156 + 4.83815i 0.199931 + 0.212988i
\(517\) −23.8470 −1.04879
\(518\) 1.88885 8.27560i 0.0829913 0.363609i
\(519\) −4.35699 1.34395i −0.191251 0.0589931i
\(520\) −2.09803 1.01036i −0.0920047 0.0443071i
\(521\) −12.4384 31.6925i −0.544936 1.38847i −0.892598 0.450854i \(-0.851120\pi\)
0.347662 0.937620i \(-0.386976\pi\)
\(522\) −1.84385 + 3.19364i −0.0807030 + 0.139782i
\(523\) 4.21809 + 7.30594i 0.184444 + 0.319466i 0.943389 0.331688i \(-0.107618\pi\)
−0.758945 + 0.651155i \(0.774285\pi\)
\(524\) −11.9643 + 15.0027i −0.522661 + 0.655397i
\(525\) 8.88867 + 6.06019i 0.387933 + 0.264489i
\(526\) 14.0558 2.11857i 0.612862 0.0923741i
\(527\) −39.9301 + 19.2293i −1.73938 + 0.837642i
\(528\) −0.820812 0.761602i −0.0357212 0.0331445i
\(529\) 17.1214 + 2.58063i 0.744408 + 0.112201i
\(530\) −14.7334 + 4.54467i −0.639980 + 0.197408i
\(531\) 1.24000 + 16.5466i 0.0538113 + 0.718062i
\(532\) 7.23657 + 9.07437i 0.313745 + 0.393424i
\(533\) −0.592422 + 1.50947i −0.0256606 + 0.0653823i
\(534\) −4.13638 + 3.83800i −0.178999 + 0.166086i
\(535\) −5.55287 + 3.78588i −0.240071 + 0.163678i
\(536\) −1.13234 + 15.1100i −0.0489095 + 0.652652i
\(537\) −4.07554 17.8561i −0.175872 0.770547i
\(538\) −5.10525 22.3675i −0.220103 0.964333i
\(539\) −3.11106 + 41.5142i −0.134003 + 1.78814i
\(540\) −6.38048 + 4.35014i −0.274572 + 0.187200i
\(541\) −7.39584 + 6.86234i −0.317972 + 0.295035i −0.822969 0.568086i \(-0.807684\pi\)
0.504997 + 0.863121i \(0.331494\pi\)
\(542\) 5.35995 13.6569i 0.230230 0.586616i
\(543\) 2.65127 + 3.32458i 0.113777 + 0.142671i
\(544\) −2.57594 34.3736i −0.110443 1.47375i
\(545\) 23.9355 7.38313i 1.02529 0.316259i
\(546\) −1.73324 0.261245i −0.0741760 0.0111802i
\(547\) 13.5257 + 12.5500i 0.578318 + 0.536600i 0.914179 0.405311i \(-0.132837\pi\)
−0.335861 + 0.941911i \(0.609027\pi\)
\(548\) −11.5216 + 5.54850i −0.492177 + 0.237020i
\(549\) −10.0031 + 1.50772i −0.426922 + 0.0643481i
\(550\) 5.34465 + 3.64392i 0.227896 + 0.155377i
\(551\) 2.10758 2.64282i 0.0897859 0.112588i
\(552\) −2.38724 4.13483i −0.101608 0.175990i
\(553\) 14.7333 25.5188i 0.626522 1.08517i
\(554\) 1.93605 + 4.93296i 0.0822547 + 0.209582i
\(555\) −2.09468 1.00875i −0.0889143 0.0428189i
\(556\) −21.7158 6.69843i −0.920954 0.284077i
\(557\) 0.981857 4.30180i 0.0416026 0.182273i −0.949858 0.312683i \(-0.898772\pi\)
0.991460 + 0.130410i \(0.0416294\pi\)
\(558\) 14.6784 0.621386
\(559\) −3.95547 0.878747i −0.167298 0.0371670i
\(560\) 3.76826 0.159238
\(561\) 2.60656 11.4201i 0.110049 0.482156i
\(562\) −9.85160 3.03882i −0.415565 0.128185i
\(563\) 8.26616 + 3.98077i 0.348377 + 0.167769i 0.599886 0.800085i \(-0.295213\pi\)
−0.251509 + 0.967855i \(0.580927\pi\)
\(564\) 3.31301 + 8.44140i 0.139503 + 0.355447i
\(565\) −0.901958 + 1.56224i −0.0379457 + 0.0657238i
\(566\) −0.250872 0.434523i −0.0105449 0.0182644i
\(567\) 12.8097 16.0629i 0.537957 0.674577i
\(568\) 19.0727 + 13.0036i 0.800273 + 0.545617i
\(569\) 2.08305 0.313969i 0.0873259 0.0131623i −0.105234 0.994447i \(-0.533559\pi\)
0.192560 + 0.981285i \(0.438321\pi\)
\(570\) −1.35079 + 0.650507i −0.0565785 + 0.0272468i
\(571\) 21.4978 + 19.9470i 0.899654 + 0.834757i 0.986884 0.161431i \(-0.0516110\pi\)
−0.0872298 + 0.996188i \(0.527801\pi\)
\(572\) 2.20977 + 0.333070i 0.0923953 + 0.0139263i
\(573\) −0.261719 + 0.0807295i −0.0109335 + 0.00337252i
\(574\) 0.747125 + 9.96969i 0.0311844 + 0.416127i
\(575\) −4.51372 5.66003i −0.188235 0.236040i
\(576\) −3.16110 + 8.05435i −0.131712 + 0.335598i
\(577\) −12.2136 + 11.3326i −0.508459 + 0.471781i −0.892188 0.451665i \(-0.850830\pi\)
0.383729 + 0.923446i \(0.374640\pi\)
\(578\) 11.8718 8.09402i 0.493800 0.336667i
\(579\) 0.492483 6.57173i 0.0204669 0.273112i
\(580\) −0.798202 3.49715i −0.0331435 0.145211i
\(581\) 1.34492 + 5.89249i 0.0557968 + 0.244462i
\(582\) 0.200803 2.67953i 0.00832357 0.111070i
\(583\) 30.2171 20.6016i 1.25146 0.853233i
\(584\) −16.7775 + 15.5673i −0.694259 + 0.644178i
\(585\) 0.773661 1.97125i 0.0319869 0.0815014i
\(586\) 10.8081 + 13.5529i 0.446479 + 0.559867i
\(587\) 1.69281 + 22.5890i 0.0698698 + 0.932348i 0.916466 + 0.400112i \(0.131029\pi\)
−0.846596 + 0.532236i \(0.821352\pi\)
\(588\) 15.1275 4.66620i 0.623846 0.192431i
\(589\) −13.3046 2.00534i −0.548205 0.0826286i
\(590\) 5.58010 + 5.17757i 0.229729 + 0.213157i
\(591\) −2.52975 + 1.21826i −0.104060 + 0.0501126i
\(592\) 1.24502 0.187657i 0.0511701 0.00771265i
\(593\) −29.4226 20.0600i −1.20824 0.823765i −0.219826 0.975539i \(-0.570549\pi\)
−0.988415 + 0.151775i \(0.951501\pi\)
\(594\) −5.38614 + 6.75401i −0.220996 + 0.277120i
\(595\) 19.7106 + 34.1397i 0.808054 + 1.39959i
\(596\) 7.92835 13.7323i 0.324758 0.562497i
\(597\) −3.07904 7.84527i −0.126017 0.321085i
\(598\) 1.06273 + 0.511783i 0.0434582 + 0.0209283i
\(599\) 29.6180 + 9.13596i 1.21016 + 0.373285i 0.833214 0.552950i \(-0.186498\pi\)
0.376946 + 0.926235i \(0.376974\pi\)
\(600\) 1.35287 5.92731i 0.0552307 0.241982i
\(601\) 21.0632 0.859187 0.429594 0.903022i \(-0.358657\pi\)
0.429594 + 0.903022i \(0.358657\pi\)
\(602\) −24.3229 + 5.69989i −0.991326 + 0.232310i
\(603\) −13.7794 −0.561141
\(604\) 2.43310 10.6601i 0.0990012 0.433753i
\(605\) −5.24703 1.61849i −0.213322 0.0658012i
\(606\) −6.01545 2.89689i −0.244361 0.117678i
\(607\) 1.57042 + 4.00136i 0.0637413 + 0.162410i 0.959196 0.282743i \(-0.0912444\pi\)
−0.895454 + 0.445153i \(0.853149\pi\)
\(608\) 5.23238 9.06274i 0.212201 0.367543i
\(609\) −3.33680 5.77951i −0.135214 0.234197i
\(610\) −2.89350 + 3.62833i −0.117154 + 0.146907i
\(611\) −4.57506 3.11922i −0.185087 0.126190i
\(612\) 19.4286 2.92839i 0.785354 0.118373i
\(613\) 0.154163 0.0742412i 0.00622660 0.00299857i −0.430768 0.902463i \(-0.641757\pi\)
0.436994 + 0.899464i \(0.356043\pi\)
\(614\) 4.88404 + 4.53173i 0.197104 + 0.182886i
\(615\) 2.70770 + 0.408121i 0.109185 + 0.0164570i
\(616\) 32.5414 10.0377i 1.31113 0.404430i
\(617\) 0.435808 + 5.81545i 0.0175450 + 0.234121i 0.999082 + 0.0428472i \(0.0136429\pi\)
−0.981537 + 0.191274i \(0.938738\pi\)
\(618\) 3.84899 + 4.82648i 0.154829 + 0.194150i
\(619\) 0.320011 0.815375i 0.0128623 0.0327727i −0.924298 0.381671i \(-0.875349\pi\)
0.937161 + 0.348898i \(0.113444\pi\)
\(620\) −10.4665 + 9.71147i −0.420344 + 0.390022i
\(621\) 7.98815 5.44623i 0.320553 0.218550i
\(622\) 0.824243 10.9988i 0.0330491 0.441010i
\(623\) 10.0229 + 43.9133i 0.401560 + 1.75935i
\(624\) −0.0578545 0.253477i −0.00231603 0.0101472i
\(625\) −0.0448653 + 0.598685i −0.00179461 + 0.0239474i
\(626\) 3.24938 2.21539i 0.129871 0.0885449i
\(627\) 2.60687 2.41882i 0.104108 0.0965985i
\(628\) −3.76058 + 9.58180i −0.150063 + 0.382355i
\(629\) 8.21244 + 10.2981i 0.327452 + 0.410611i
\(630\) −0.975691 13.0197i −0.0388725 0.518717i
\(631\) −21.9032 + 6.75624i −0.871953 + 0.268962i −0.698265 0.715839i \(-0.746044\pi\)
−0.173687 + 0.984801i \(0.555568\pi\)
\(632\) −16.4666 2.48195i −0.655008 0.0987265i
\(633\) −1.55921 1.44673i −0.0619729 0.0575025i
\(634\) −13.5961 + 6.54754i −0.539970 + 0.260036i
\(635\) −6.08849 + 0.917692i −0.241614 + 0.0364175i
\(636\) −11.4906 7.83415i −0.455631 0.310644i
\(637\) −6.02697 + 7.55758i −0.238797 + 0.299442i
\(638\) −2.00638 3.47514i −0.0794332 0.137582i
\(639\) −10.4961 + 18.1797i −0.415218 + 0.719180i
\(640\) −4.52033 11.5176i −0.178682 0.455274i
\(641\) 29.9739 + 14.4347i 1.18390 + 0.570136i 0.919045 0.394153i \(-0.128962\pi\)
0.264854 + 0.964288i \(0.414676\pi\)
\(642\) 2.73191 + 0.842681i 0.107820 + 0.0332580i
\(643\) 8.85495 38.7961i 0.349205 1.52997i −0.429785 0.902931i \(-0.641410\pi\)
0.778990 0.627037i \(-0.215732\pi\)
\(644\) −15.4199 −0.607631
\(645\) 0.0396153 + 6.84223i 0.00155985 + 0.269413i
\(646\) 8.49403 0.334193
\(647\) −1.59035 + 6.96776i −0.0625229 + 0.273931i −0.996520 0.0833487i \(-0.973438\pi\)
0.933998 + 0.357279i \(0.116296\pi\)
\(648\) −11.0950 3.42236i −0.435853 0.134443i
\(649\) −16.2676 7.83405i −0.638558 0.307513i
\(650\) 0.548743 + 1.39817i 0.0215235 + 0.0548409i
\(651\) −13.2817 + 23.0046i −0.520551 + 0.901621i
\(652\) 4.19386 + 7.26398i 0.164244 + 0.284479i
\(653\) 13.6325 17.0946i 0.533482 0.668965i −0.439929 0.898033i \(-0.644996\pi\)
0.973411 + 0.229068i \(0.0735677\pi\)
\(654\) −8.80390 6.00240i −0.344260 0.234712i
\(655\) −19.5656 + 2.94903i −0.764490 + 0.115228i
\(656\) −1.33609 + 0.643427i −0.0521655 + 0.0251216i
\(657\) −15.2573 14.1567i −0.595245 0.552306i
\(658\) −33.7581 5.08822i −1.31603 0.198359i
\(659\) 22.0315 6.79582i 0.858225 0.264727i 0.165749 0.986168i \(-0.446996\pi\)
0.692476 + 0.721441i \(0.256520\pi\)
\(660\) −0.282012 3.76319i −0.0109773 0.146482i
\(661\) 12.0427 + 15.1011i 0.468407 + 0.587364i 0.958780 0.284149i \(-0.0917109\pi\)
−0.490373 + 0.871513i \(0.663139\pi\)
\(662\) 0.946771 2.41233i 0.0367973 0.0937580i
\(663\) 1.99383 1.85001i 0.0774341 0.0718483i
\(664\) 2.82219 1.92414i 0.109522 0.0746710i
\(665\) −0.894360 + 11.9344i −0.0346818 + 0.462796i
\(666\) −0.970738 4.25308i −0.0376153 0.164804i
\(667\) 0.999321 + 4.37831i 0.0386939 + 0.169529i
\(668\) 0.895089 11.9441i 0.0346320 0.462132i
\(669\) −2.69764 + 1.83922i −0.104297 + 0.0711083i
\(670\) −4.63390 + 4.29963i −0.179023 + 0.166109i
\(671\) 4.02159 10.2469i 0.155252 0.395575i
\(672\) −12.8814 16.1528i −0.496911 0.623107i
\(673\) −0.885315 11.8137i −0.0341264 0.455385i −0.987924 0.154936i \(-0.950483\pi\)
0.953798 0.300448i \(-0.0971363\pi\)
\(674\) 7.40041 2.28272i 0.285053 0.0879272i
\(675\) 12.1737 + 1.83488i 0.468564 + 0.0706247i
\(676\) −12.5709 11.6641i −0.483495 0.448618i
\(677\) 39.6619 19.1002i 1.52433 0.734079i 0.530785 0.847507i \(-0.321897\pi\)
0.993546 + 0.113428i \(0.0361830\pi\)
\(678\) 0.758802 0.114371i 0.0291416 0.00439239i
\(679\) −17.7223 12.0828i −0.680118 0.463696i
\(680\) 13.8903 17.4179i 0.532670 0.667946i
\(681\) −4.62031 8.00261i −0.177051 0.306661i
\(682\) −7.98612 + 13.8324i −0.305804 + 0.529669i
\(683\) −3.21492 8.19149i −0.123016 0.313439i 0.856079 0.516845i \(-0.172894\pi\)
−0.979094 + 0.203407i \(0.934799\pi\)
\(684\) 5.37424 + 2.58810i 0.205489 + 0.0989584i
\(685\) −12.6003 3.88667i −0.481431 0.148502i
\(686\) −7.32774 + 32.1049i −0.279775 + 1.22577i
\(687\) −7.60678 −0.290217
\(688\) −2.10510 3.04953i −0.0802561 0.116262i
\(689\) 8.49188 0.323515
\(690\) 0.443230 1.94192i 0.0168735 0.0739276i
\(691\) −23.4565 7.23537i −0.892327 0.275247i −0.185510 0.982642i \(-0.559394\pi\)
−0.706818 + 0.707396i \(0.749870\pi\)
\(692\) 7.49796 + 3.61083i 0.285030 + 0.137263i
\(693\) 11.3141 + 28.8280i 0.429789 + 1.09508i
\(694\) −4.39078 + 7.60506i −0.166672 + 0.288684i
\(695\) −11.7164 20.2935i −0.444430 0.769775i
\(696\) −2.35149 + 2.94868i −0.0891331 + 0.111769i
\(697\) −12.8180 8.73915i −0.485515 0.331019i
\(698\) −16.9910 + 2.56098i −0.643117 + 0.0969343i
\(699\) 13.7016 6.59833i 0.518241 0.249572i
\(700\) −14.3938 13.3555i −0.544035 0.504791i
\(701\) −7.74950 1.16805i −0.292695 0.0441166i 0.00105353 0.999999i \(-0.499665\pi\)
−0.293748 + 0.955883i \(0.594903\pi\)
\(702\) −1.91677 + 0.591244i −0.0723437 + 0.0223151i
\(703\) 0.298832 + 3.98763i 0.0112707 + 0.150396i
\(704\) −5.87025 7.36106i −0.221243 0.277430i
\(705\) −3.41614 + 8.70419i −0.128659 + 0.327819i
\(706\) 19.5503 18.1400i 0.735784 0.682708i
\(707\) −44.0354 + 30.0228i −1.65612 + 1.12913i
\(708\) −0.513096 + 6.84679i −0.0192833 + 0.257318i
\(709\) −1.33852 5.86443i −0.0502691 0.220243i 0.943554 0.331218i \(-0.107460\pi\)
−0.993823 + 0.110975i \(0.964603\pi\)
\(710\) 2.14294 + 9.38882i 0.0804230 + 0.352356i
\(711\) 1.13169 15.1014i 0.0424418 0.566347i
\(712\) 21.0321 14.3395i 0.788212 0.537394i
\(713\) 13.1037 12.1584i 0.490736 0.455337i
\(714\) 6.12657 15.6103i 0.229281 0.584199i
\(715\) 1.43671 + 1.80158i 0.0537299 + 0.0673751i
\(716\) 2.49815 + 33.3356i 0.0933604 + 1.24581i
\(717\) −1.37473 + 0.424048i −0.0513402 + 0.0158364i
\(718\) 5.93591 + 0.894694i 0.221526 + 0.0333897i
\(719\) 10.4800 + 9.72406i 0.390840 + 0.362646i 0.850978 0.525201i \(-0.176010\pi\)
−0.460139 + 0.887847i \(0.652200\pi\)
\(720\) 1.74484 0.840269i 0.0650262 0.0313150i
\(721\) 48.7279 7.34455i 1.81472 0.273525i
\(722\) −10.4376 7.11622i −0.388446 0.264838i
\(723\) −6.59172 + 8.26575i −0.245149 + 0.307407i
\(724\) −3.88064 6.72147i −0.144223 0.249802i
\(725\) −2.85932 + 4.95249i −0.106192 + 0.183931i
\(726\) 0.853372 + 2.17436i 0.0316716 + 0.0806980i
\(727\) −6.01941 2.89879i −0.223247 0.107510i 0.318917 0.947783i \(-0.396681\pi\)
−0.542165 + 0.840272i \(0.682395\pi\)
\(728\) 7.55603 + 2.33073i 0.280045 + 0.0863825i
\(729\) 0.334052 1.46358i 0.0123723 0.0542065i
\(730\) −9.54827 −0.353397
\(731\) 16.6170 35.0229i 0.614603 1.29537i
\(732\) −4.18591 −0.154716
\(733\) −8.12555 + 35.6004i −0.300124 + 1.31493i 0.569816 + 0.821772i \(0.307014\pi\)
−0.869940 + 0.493157i \(0.835843\pi\)
\(734\) −3.91465 1.20751i −0.144492 0.0445700i
\(735\) 14.7071 + 7.08255i 0.542478 + 0.261244i
\(736\) 5.07934 + 12.9419i 0.187227 + 0.477046i
\(737\) 7.49701 12.9852i 0.276156 0.478316i
\(738\) 2.56905 + 4.44972i 0.0945679 + 0.163796i
\(739\) −12.8940 + 16.1686i −0.474313 + 0.594770i −0.960221 0.279240i \(-0.909917\pi\)
0.485908 + 0.874010i \(0.338489\pi\)
\(740\) 3.50610 + 2.39042i 0.128887 + 0.0878734i
\(741\) 0.816515 0.123070i 0.0299954 0.00452108i
\(742\) 47.1714 22.7165i 1.73172 0.833950i
\(743\) 4.99436 + 4.63408i 0.183225 + 0.170008i 0.766453 0.642301i \(-0.222020\pi\)
−0.583228 + 0.812309i \(0.698210\pi\)
\(744\) 14.8443 + 2.23742i 0.544219 + 0.0820278i
\(745\) 15.6239 4.81935i 0.572417 0.176567i
\(746\) −1.96844 26.2670i −0.0720696 0.961702i
\(747\) 1.93669 + 2.42853i 0.0708598 + 0.0888554i
\(748\) −7.81098 + 19.9020i −0.285598 + 0.727691i
\(749\) 16.7292 15.5224i 0.611271 0.567177i
\(750\) 5.54679 3.78174i 0.202540 0.138090i
\(751\) −1.46930 + 19.6065i −0.0536156 + 0.715450i 0.904024 + 0.427481i \(0.140599\pi\)
−0.957640 + 0.287969i \(0.907020\pi\)
\(752\) −1.12682 4.93693i −0.0410910 0.180031i
\(753\) 1.42921 + 6.26179i 0.0520834 + 0.228192i
\(754\) 0.0696298 0.929145i 0.00253577 0.0338375i
\(755\) 9.31553 6.35122i 0.339027 0.231145i
\(756\) 19.2225 17.8359i 0.699117 0.648686i
\(757\) −14.3182 + 36.4821i −0.520403 + 1.32597i 0.393235 + 0.919438i \(0.371356\pi\)
−0.913638 + 0.406528i \(0.866739\pi\)
\(758\) −4.43725 5.56414i −0.161168 0.202099i
\(759\) 0.353069 + 4.71138i 0.0128156 + 0.171012i
\(760\) 6.46301 1.99357i 0.234438 0.0723145i
\(761\) −42.8441 6.45772i −1.55310 0.234092i −0.684279 0.729220i \(-0.739883\pi\)
−0.868820 + 0.495128i \(0.835121\pi\)
\(762\) 1.92005 + 1.78155i 0.0695561 + 0.0645386i
\(763\) −76.6333 + 36.9046i −2.77431 + 1.33604i
\(764\) 0.494314 0.0745058i 0.0178836 0.00269553i
\(765\) 16.7394 + 11.4127i 0.605213 + 0.412627i
\(766\) −6.77849 + 8.49996i −0.244917 + 0.307116i
\(767\) −2.09624 3.63079i −0.0756907 0.131100i
\(768\) −5.26608 + 9.12112i −0.190023 + 0.329130i
\(769\) 17.9092 + 45.6318i 0.645821 + 1.64553i 0.758327 + 0.651875i \(0.226017\pi\)
−0.112505 + 0.993651i \(0.535888\pi\)
\(770\) 12.8001 + 6.16422i 0.461284 + 0.222143i
\(771\) −8.87053 2.73620i −0.319464 0.0985417i