Properties

Label 41.2.g.a.21.2
Level 41
Weight 2
Character 41.21
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 21.2
Character \(\chi\) = 41.21
Dual form 41.2.g.a.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40718 - 0.457221i) q^{2} +(-1.90046 - 1.90046i) q^{3} +(0.153075 + 0.111216i) q^{4} +(-0.455161 + 0.626475i) q^{5} +(1.80536 + 3.54322i) q^{6} +(2.12336 - 4.16732i) q^{7} +(1.57482 + 2.16755i) q^{8} +4.22349i q^{9} +O(q^{10})\) \(q+(-1.40718 - 0.457221i) q^{2} +(-1.90046 - 1.90046i) q^{3} +(0.153075 + 0.111216i) q^{4} +(-0.455161 + 0.626475i) q^{5} +(1.80536 + 3.54322i) q^{6} +(2.12336 - 4.16732i) q^{7} +(1.57482 + 2.16755i) q^{8} +4.22349i q^{9} +(0.926931 - 0.673455i) q^{10} +(-0.538340 - 0.0852647i) q^{11} +(-0.0795524 - 0.502274i) q^{12} +(-0.808560 + 0.411982i) q^{13} +(-4.89333 + 4.89333i) q^{14} +(2.05560 - 0.325576i) q^{15} +(-1.34194 - 4.13008i) q^{16} +(0.937351 - 5.91820i) q^{17} +(1.93107 - 5.94322i) q^{18} +(3.90401 + 1.98919i) q^{19} +(-0.139348 + 0.0452768i) q^{20} +(-11.9552 + 3.88447i) q^{21} +(0.718557 + 0.366123i) q^{22} +(-0.323498 + 0.995624i) q^{23} +(1.12646 - 7.11222i) q^{24} +(1.35979 + 4.18499i) q^{25} +(1.32616 - 0.210043i) q^{26} +(2.32519 - 2.32519i) q^{27} +(0.788504 - 0.401763i) q^{28} +(0.193017 + 1.21866i) q^{29} +(-3.04147 - 0.481721i) q^{30} +(1.22986 - 0.893547i) q^{31} +1.06686i q^{32} +(0.861051 + 1.18514i) q^{33} +(-4.02495 + 7.89940i) q^{34} +(1.64425 + 3.22703i) q^{35} +(-0.469718 + 0.646511i) q^{36} +(5.87120 + 4.26568i) q^{37} +(-4.58415 - 4.58415i) q^{38} +(2.31959 + 0.753680i) q^{39} -2.07471 q^{40} +(6.21116 + 1.55612i) q^{41} +18.5992 q^{42} +(-5.91654 - 1.92240i) q^{43} +(-0.0729237 - 0.0729237i) q^{44} +(-2.64591 - 1.92237i) q^{45} +(0.910440 - 1.25311i) q^{46} +(-1.80254 - 3.53768i) q^{47} +(-5.29874 + 10.3994i) q^{48} +(-8.74342 - 12.0343i) q^{49} -6.51076i q^{50} +(-13.0287 + 9.46590i) q^{51} +(-0.169589 - 0.0268603i) q^{52} +(0.837443 + 5.28741i) q^{53} +(-4.33510 + 2.20884i) q^{54} +(0.298447 - 0.298447i) q^{55} +(12.3768 - 1.96029i) q^{56} +(-3.63903 - 11.1998i) q^{57} +(0.285587 - 1.80313i) q^{58} +(2.74251 - 8.44059i) q^{59} +(0.350871 + 0.178778i) q^{60} +(1.31994 - 0.428873i) q^{61} +(-2.13919 + 0.695064i) q^{62} +(17.6006 + 8.96797i) q^{63} +(-2.19610 + 6.75890i) q^{64} +(0.109928 - 0.694060i) q^{65} +(-0.669787 - 2.06139i) q^{66} +(-5.56618 + 0.881596i) q^{67} +(0.801681 - 0.801681i) q^{68} +(2.50694 - 1.27735i) q^{69} +(-0.838297 - 5.29280i) q^{70} +(-1.07629 - 0.170468i) q^{71} +(-9.15463 + 6.65123i) q^{72} +5.61291i q^{73} +(-6.31149 - 8.68702i) q^{74} +(5.36919 - 10.5376i) q^{75} +(0.376378 + 0.738683i) q^{76} +(-1.49841 + 2.06239i) q^{77} +(-2.91948 - 2.12113i) q^{78} +(8.62379 + 8.62379i) q^{79} +(3.19819 + 1.03915i) q^{80} +3.83260 q^{81} +(-8.02874 - 5.02962i) q^{82} -13.1576 q^{83} +(-2.26205 - 0.734986i) q^{84} +(3.28096 + 3.28096i) q^{85} +(7.44668 + 5.41033i) q^{86} +(1.94919 - 2.68283i) q^{87} +(-0.662972 - 1.30116i) q^{88} +(-0.885629 + 1.73814i) q^{89} +(2.84433 + 3.91488i) q^{90} +4.24431i q^{91} +(-0.160248 + 0.116427i) q^{92} +(-4.03545 - 0.639153i) q^{93} +(0.918996 + 5.80231i) q^{94} +(-3.02313 + 1.54036i) q^{95} +(2.02752 - 2.02752i) q^{96} +(-1.91879 + 0.303907i) q^{97} +(6.80125 + 20.9321i) q^{98} +(0.360115 - 2.27367i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40718 0.457221i −0.995028 0.323304i −0.234151 0.972200i \(-0.575231\pi\)
−0.760877 + 0.648896i \(0.775231\pi\)
\(3\) −1.90046 1.90046i −1.09723 1.09723i −0.994733 0.102497i \(-0.967317\pi\)
−0.102497 0.994733i \(-0.532683\pi\)
\(4\) 0.153075 + 0.111216i 0.0765376 + 0.0556078i
\(5\) −0.455161 + 0.626475i −0.203554 + 0.280168i −0.898574 0.438823i \(-0.855396\pi\)
0.695020 + 0.718991i \(0.255396\pi\)
\(6\) 1.80536 + 3.54322i 0.737036 + 1.44651i
\(7\) 2.12336 4.16732i 0.802553 1.57510i −0.0154469 0.999881i \(-0.504917\pi\)
0.818000 0.575218i \(-0.195083\pi\)
\(8\) 1.57482 + 2.16755i 0.556782 + 0.766345i
\(9\) 4.22349i 1.40783i
\(10\) 0.926931 0.673455i 0.293121 0.212965i
\(11\) −0.538340 0.0852647i −0.162316 0.0257083i 0.0747477 0.997202i \(-0.476185\pi\)
−0.237063 + 0.971494i \(0.576185\pi\)
\(12\) −0.0795524 0.502274i −0.0229648 0.144994i
\(13\) −0.808560 + 0.411982i −0.224254 + 0.114263i −0.562508 0.826792i \(-0.690164\pi\)
0.338254 + 0.941055i \(0.390164\pi\)
\(14\) −4.89333 + 4.89333i −1.30780 + 1.30780i
\(15\) 2.05560 0.325576i 0.530755 0.0840633i
\(16\) −1.34194 4.13008i −0.335486 1.03252i
\(17\) 0.937351 5.91820i 0.227341 1.43537i −0.564897 0.825161i \(-0.691084\pi\)
0.792238 0.610212i \(-0.208916\pi\)
\(18\) 1.93107 5.94322i 0.455157 1.40083i
\(19\) 3.90401 + 1.98919i 0.895641 + 0.456352i 0.840304 0.542116i \(-0.182377\pi\)
0.0553374 + 0.998468i \(0.482377\pi\)
\(20\) −0.139348 + 0.0452768i −0.0311591 + 0.0101242i
\(21\) −11.9552 + 3.88447i −2.60883 + 0.847661i
\(22\) 0.718557 + 0.366123i 0.153197 + 0.0780577i
\(23\) −0.323498 + 0.995624i −0.0674539 + 0.207602i −0.979102 0.203370i \(-0.934811\pi\)
0.911648 + 0.410972i \(0.134811\pi\)
\(24\) 1.12646 7.11222i 0.229939 1.45178i
\(25\) 1.35979 + 4.18499i 0.271957 + 0.836998i
\(26\) 1.32616 0.210043i 0.260081 0.0411927i
\(27\) 2.32519 2.32519i 0.447484 0.447484i
\(28\) 0.788504 0.401763i 0.149013 0.0759260i
\(29\) 0.193017 + 1.21866i 0.0358423 + 0.226299i 0.999107 0.0422549i \(-0.0134542\pi\)
−0.963265 + 0.268554i \(0.913454\pi\)
\(30\) −3.04147 0.481721i −0.555294 0.0879499i
\(31\) 1.22986 0.893547i 0.220890 0.160486i −0.471837 0.881686i \(-0.656409\pi\)
0.692727 + 0.721200i \(0.256409\pi\)
\(32\) 1.06686i 0.188595i
\(33\) 0.861051 + 1.18514i 0.149890 + 0.206306i
\(34\) −4.02495 + 7.89940i −0.690273 + 1.35474i
\(35\) 1.64425 + 3.22703i 0.277929 + 0.545467i
\(36\) −0.469718 + 0.646511i −0.0782863 + 0.107752i
\(37\) 5.87120 + 4.26568i 0.965220 + 0.701273i 0.954357 0.298668i \(-0.0965423\pi\)
0.0108626 + 0.999941i \(0.496542\pi\)
\(38\) −4.58415 4.58415i −0.743647 0.743647i
\(39\) 2.31959 + 0.753680i 0.371431 + 0.120685i
\(40\) −2.07471 −0.328041
\(41\) 6.21116 + 1.55612i 0.970020 + 0.243025i
\(42\) 18.5992 2.86991
\(43\) −5.91654 1.92240i −0.902263 0.293163i −0.179092 0.983832i \(-0.557316\pi\)
−0.723171 + 0.690669i \(0.757316\pi\)
\(44\) −0.0729237 0.0729237i −0.0109937 0.0109937i
\(45\) −2.64591 1.92237i −0.394429 0.286569i
\(46\) 0.910440 1.25311i 0.134237 0.184761i
\(47\) −1.80254 3.53768i −0.262927 0.516023i 0.721369 0.692551i \(-0.243513\pi\)
−0.984296 + 0.176528i \(0.943513\pi\)
\(48\) −5.29874 + 10.3994i −0.764807 + 1.50102i
\(49\) −8.74342 12.0343i −1.24906 1.71918i
\(50\) 6.51076i 0.920761i
\(51\) −13.0287 + 9.46590i −1.82438 + 1.32549i
\(52\) −0.169589 0.0268603i −0.0235178 0.00372485i
\(53\) 0.837443 + 5.28741i 0.115032 + 0.726281i 0.976024 + 0.217663i \(0.0698434\pi\)
−0.860992 + 0.508618i \(0.830157\pi\)
\(54\) −4.33510 + 2.20884i −0.589932 + 0.300585i
\(55\) 0.298447 0.298447i 0.0402426 0.0402426i
\(56\) 12.3768 1.96029i 1.65392 0.261955i
\(57\) −3.63903 11.1998i −0.482002 1.48345i
\(58\) 0.285587 1.80313i 0.0374994 0.236762i
\(59\) 2.74251 8.44059i 0.357045 1.09887i −0.597769 0.801668i \(-0.703946\pi\)
0.954814 0.297203i \(-0.0960538\pi\)
\(60\) 0.350871 + 0.178778i 0.0452972 + 0.0230801i
\(61\) 1.31994 0.428873i 0.169001 0.0549116i −0.223295 0.974751i \(-0.571681\pi\)
0.392295 + 0.919839i \(0.371681\pi\)
\(62\) −2.13919 + 0.695064i −0.271677 + 0.0882732i
\(63\) 17.6006 + 8.96797i 2.21747 + 1.12986i
\(64\) −2.19610 + 6.75890i −0.274512 + 0.844862i
\(65\) 0.109928 0.694060i 0.0136349 0.0860875i
\(66\) −0.669787 2.06139i −0.0824450 0.253740i
\(67\) −5.56618 + 0.881596i −0.680017 + 0.107704i −0.486881 0.873468i \(-0.661866\pi\)
−0.193135 + 0.981172i \(0.561866\pi\)
\(68\) 0.801681 0.801681i 0.0972181 0.0972181i
\(69\) 2.50694 1.27735i 0.301800 0.153775i
\(70\) −0.838297 5.29280i −0.100196 0.632611i
\(71\) −1.07629 0.170468i −0.127732 0.0202308i 0.0922409 0.995737i \(-0.470597\pi\)
−0.219973 + 0.975506i \(0.570597\pi\)
\(72\) −9.15463 + 6.65123i −1.07888 + 0.783855i
\(73\) 5.61291i 0.656941i 0.944514 + 0.328471i \(0.106533\pi\)
−0.944514 + 0.328471i \(0.893467\pi\)
\(74\) −6.31149 8.68702i −0.733696 1.00985i
\(75\) 5.36919 10.5376i 0.619980 1.21678i
\(76\) 0.376378 + 0.738683i 0.0431735 + 0.0847327i
\(77\) −1.49841 + 2.06239i −0.170760 + 0.235031i
\(78\) −2.91948 2.12113i −0.330567 0.240171i
\(79\) 8.62379 + 8.62379i 0.970252 + 0.970252i 0.999570 0.0293183i \(-0.00933364\pi\)
−0.0293183 + 0.999570i \(0.509334\pi\)
\(80\) 3.19819 + 1.03915i 0.357568 + 0.116181i
\(81\) 3.83260 0.425844
\(82\) −8.02874 5.02962i −0.886626 0.555428i
\(83\) −13.1576 −1.44423 −0.722116 0.691772i \(-0.756830\pi\)
−0.722116 + 0.691772i \(0.756830\pi\)
\(84\) −2.26205 0.734986i −0.246810 0.0801935i
\(85\) 3.28096 + 3.28096i 0.355870 + 0.355870i
\(86\) 7.44668 + 5.41033i 0.802996 + 0.583411i
\(87\) 1.94919 2.68283i 0.208975 0.287630i
\(88\) −0.662972 1.30116i −0.0706730 0.138704i
\(89\) −0.885629 + 1.73814i −0.0938764 + 0.184243i −0.933170 0.359436i \(-0.882969\pi\)
0.839293 + 0.543679i \(0.182969\pi\)
\(90\) 2.84433 + 3.91488i 0.299819 + 0.412665i
\(91\) 4.24431i 0.444925i
\(92\) −0.160248 + 0.116427i −0.0167070 + 0.0121384i
\(93\) −4.03545 0.639153i −0.418457 0.0662770i
\(94\) 0.918996 + 5.80231i 0.0947872 + 0.598463i
\(95\) −3.02313 + 1.54036i −0.310167 + 0.158038i
\(96\) 2.02752 2.02752i 0.206932 0.206932i
\(97\) −1.91879 + 0.303907i −0.194824 + 0.0308571i −0.253084 0.967444i \(-0.581445\pi\)
0.0582598 + 0.998301i \(0.481445\pi\)
\(98\) 6.80125 + 20.9321i 0.687030 + 2.11446i
\(99\) 0.360115 2.27367i 0.0361929 0.228513i
\(100\) −0.257287 + 0.791847i −0.0257287 + 0.0791847i
\(101\) 7.49597 + 3.81939i 0.745877 + 0.380043i 0.785248 0.619181i \(-0.212535\pi\)
−0.0393710 + 0.999225i \(0.512535\pi\)
\(102\) 22.6617 7.36325i 2.24385 0.729070i
\(103\) 4.08634 1.32773i 0.402639 0.130825i −0.100695 0.994917i \(-0.532107\pi\)
0.503334 + 0.864092i \(0.332107\pi\)
\(104\) −2.16632 1.10380i −0.212426 0.108236i
\(105\) 3.00800 9.25767i 0.293551 0.903456i
\(106\) 1.23908 7.82324i 0.120350 0.759860i
\(107\) 3.82695 + 11.7782i 0.369966 + 1.13864i 0.946813 + 0.321785i \(0.104283\pi\)
−0.576847 + 0.816852i \(0.695717\pi\)
\(108\) 0.614527 0.0973316i 0.0591329 0.00936574i
\(109\) 1.22345 1.22345i 0.117185 0.117185i −0.646082 0.763268i \(-0.723594\pi\)
0.763268 + 0.646082i \(0.223594\pi\)
\(110\) −0.556426 + 0.283513i −0.0530531 + 0.0270319i
\(111\) −3.05123 19.2647i −0.289610 1.82853i
\(112\) −20.0608 3.17732i −1.89557 0.300228i
\(113\) 0.944802 0.686439i 0.0888795 0.0645747i −0.542458 0.840083i \(-0.682506\pi\)
0.631338 + 0.775508i \(0.282506\pi\)
\(114\) 17.4240i 1.63191i
\(115\) −0.476490 0.655832i −0.0444329 0.0611566i
\(116\) −0.105988 + 0.208013i −0.00984073 + 0.0193135i
\(117\) −1.74000 3.41494i −0.160863 0.315712i
\(118\) −7.71843 + 10.6235i −0.710539 + 0.977973i
\(119\) −22.6727 16.4727i −2.07840 1.51005i
\(120\) 3.94290 + 3.94290i 0.359936 + 0.359936i
\(121\) −10.1791 3.30738i −0.925371 0.300671i
\(122\) −2.05348 −0.185913
\(123\) −8.84671 14.7614i −0.797681 1.33099i
\(124\) 0.287638 0.0258306
\(125\) −6.92304 2.24943i −0.619215 0.201195i
\(126\) −20.6669 20.6669i −1.84116 1.84116i
\(127\) 8.08534 + 5.87434i 0.717458 + 0.521264i 0.885571 0.464504i \(-0.153767\pi\)
−0.168113 + 0.985768i \(0.553767\pi\)
\(128\) 7.43478 10.2331i 0.657148 0.904487i
\(129\) 7.59069 + 14.8976i 0.668323 + 1.31166i
\(130\) −0.472028 + 0.926407i −0.0413996 + 0.0812513i
\(131\) −0.478992 0.659276i −0.0418497 0.0576012i 0.787579 0.616213i \(-0.211334\pi\)
−0.829429 + 0.558612i \(0.811334\pi\)
\(132\) 0.277177i 0.0241252i
\(133\) 16.5792 12.0455i 1.43760 1.04448i
\(134\) 8.23570 + 1.30441i 0.711456 + 0.112684i
\(135\) 0.398339 + 2.51501i 0.0342835 + 0.216458i
\(136\) 14.3042 7.28833i 1.22657 0.624969i
\(137\) −3.04334 + 3.04334i −0.260010 + 0.260010i −0.825058 0.565048i \(-0.808858\pi\)
0.565048 + 0.825058i \(0.308858\pi\)
\(138\) −4.11175 + 0.651237i −0.350015 + 0.0554369i
\(139\) 1.55254 + 4.77824i 0.131685 + 0.405285i 0.995060 0.0992785i \(-0.0316535\pi\)
−0.863375 + 0.504563i \(0.831653\pi\)
\(140\) −0.107202 + 0.676844i −0.00906019 + 0.0572038i
\(141\) −3.29756 + 10.1489i −0.277705 + 0.854688i
\(142\) 1.43660 + 0.731983i 0.120557 + 0.0614266i
\(143\) 0.470407 0.152845i 0.0393374 0.0127815i
\(144\) 17.4433 5.66769i 1.45361 0.472307i
\(145\) −0.851313 0.433765i −0.0706977 0.0360223i
\(146\) 2.56634 7.89838i 0.212392 0.653675i
\(147\) −6.25416 + 39.4872i −0.515834 + 3.25685i
\(148\) 0.424325 + 1.30594i 0.0348793 + 0.107347i
\(149\) 7.82798 1.23983i 0.641293 0.101571i 0.172685 0.984977i \(-0.444756\pi\)
0.468608 + 0.883406i \(0.344756\pi\)
\(150\) −12.3734 + 12.3734i −1.01029 + 1.01029i
\(151\) −18.4200 + 9.38545i −1.49900 + 0.763777i −0.994995 0.0999253i \(-0.968140\pi\)
−0.504002 + 0.863702i \(0.668140\pi\)
\(152\) 1.83643 + 11.5948i 0.148954 + 0.940459i
\(153\) 24.9955 + 3.95889i 2.02076 + 0.320057i
\(154\) 3.05151 2.21705i 0.245897 0.178655i
\(155\) 1.17718i 0.0945537i
\(156\) 0.271250 + 0.373344i 0.0217174 + 0.0298915i
\(157\) 5.47977 10.7546i 0.437333 0.858314i −0.562177 0.827017i \(-0.690036\pi\)
0.999510 0.0312976i \(-0.00996395\pi\)
\(158\) −8.19226 16.0782i −0.651741 1.27911i
\(159\) 8.45697 11.6400i 0.670682 0.923114i
\(160\) −0.668358 0.485591i −0.0528384 0.0383893i
\(161\) 3.46218 + 3.46218i 0.272858 + 0.272858i
\(162\) −5.39316 1.75234i −0.423727 0.137677i
\(163\) −2.00089 −0.156722 −0.0783609 0.996925i \(-0.524969\pi\)
−0.0783609 + 0.996925i \(0.524969\pi\)
\(164\) 0.777709 + 0.928981i 0.0607289 + 0.0725413i
\(165\) −1.13437 −0.0883109
\(166\) 18.5151 + 6.01592i 1.43705 + 0.466926i
\(167\) 13.5221 + 13.5221i 1.04638 + 1.04638i 0.998871 + 0.0475043i \(0.0151268\pi\)
0.0475043 + 0.998871i \(0.484873\pi\)
\(168\) −27.2470 19.7961i −2.10215 1.52730i
\(169\) −7.15717 + 9.85100i −0.550551 + 0.757769i
\(170\) −3.11678 6.11702i −0.239046 0.469154i
\(171\) −8.40134 + 16.4885i −0.642466 + 1.26091i
\(172\) −0.691874 0.952283i −0.0527549 0.0726109i
\(173\) 6.00388i 0.456467i −0.973606 0.228233i \(-0.926705\pi\)
0.973606 0.228233i \(-0.0732949\pi\)
\(174\) −3.96951 + 2.88402i −0.300928 + 0.218637i
\(175\) 20.3275 + 3.21956i 1.53661 + 0.243376i
\(176\) 0.370272 + 2.33781i 0.0279103 + 0.176219i
\(177\) −21.2530 + 10.8290i −1.59748 + 0.813954i
\(178\) 2.04096 2.04096i 0.152976 0.152976i
\(179\) −9.04156 + 1.43204i −0.675798 + 0.107036i −0.484894 0.874573i \(-0.661142\pi\)
−0.190904 + 0.981609i \(0.561142\pi\)
\(180\) −0.191226 0.588533i −0.0142531 0.0438667i
\(181\) 2.98065 18.8191i 0.221550 1.39881i −0.586619 0.809863i \(-0.699541\pi\)
0.808169 0.588950i \(-0.200459\pi\)
\(182\) 1.94059 5.97252i 0.143846 0.442712i
\(183\) −3.32354 1.69343i −0.245683 0.125182i
\(184\) −2.66751 + 0.866728i −0.196652 + 0.0638960i
\(185\) −5.34468 + 1.73659i −0.392949 + 0.127677i
\(186\) 5.38638 + 2.74450i 0.394948 + 0.201236i
\(187\) −1.00923 + 3.10608i −0.0738019 + 0.227139i
\(188\) 0.117521 0.742000i 0.00857112 0.0541159i
\(189\) −4.75262 14.6270i −0.345702 1.06396i
\(190\) 4.95838 0.785330i 0.359719 0.0569738i
\(191\) 7.96614 7.96614i 0.576410 0.576410i −0.357503 0.933912i \(-0.616372\pi\)
0.933912 + 0.357503i \(0.116372\pi\)
\(192\) 17.0186 8.67141i 1.22821 0.625805i
\(193\) −1.82911 11.5486i −0.131663 0.831285i −0.961805 0.273734i \(-0.911741\pi\)
0.830143 0.557551i \(-0.188259\pi\)
\(194\) 2.83904 + 0.449660i 0.203831 + 0.0322837i
\(195\) −1.52795 + 1.11012i −0.109419 + 0.0794972i
\(196\) 2.81456i 0.201040i
\(197\) −5.94003 8.17575i −0.423210 0.582498i 0.543168 0.839624i \(-0.317225\pi\)
−0.966378 + 0.257126i \(0.917225\pi\)
\(198\) −1.54632 + 3.03482i −0.109892 + 0.215675i
\(199\) 3.82058 + 7.49832i 0.270834 + 0.531542i 0.985863 0.167553i \(-0.0535866\pi\)
−0.715029 + 0.699095i \(0.753587\pi\)
\(200\) −6.92976 + 9.53800i −0.490008 + 0.674438i
\(201\) 12.2537 + 8.90285i 0.864311 + 0.627959i
\(202\) −8.80189 8.80189i −0.619299 0.619299i
\(203\) 5.48839 + 1.78328i 0.385209 + 0.125162i
\(204\) −3.04712 −0.213341
\(205\) −3.80195 + 3.18285i −0.265539 + 0.222300i
\(206\) −6.35728 −0.442933
\(207\) −4.20501 1.36629i −0.292268 0.0949637i
\(208\) 2.78656 + 2.78656i 0.193213 + 0.193213i
\(209\) −1.93208 1.40374i −0.133645 0.0970984i
\(210\) −8.46560 + 11.6519i −0.584182 + 0.804058i
\(211\) −5.89458 11.5688i −0.405800 0.796427i 0.594169 0.804340i \(-0.297481\pi\)
−0.999969 + 0.00791335i \(0.997481\pi\)
\(212\) −0.459850 + 0.902507i −0.0315827 + 0.0619845i
\(213\) 1.72148 + 2.36942i 0.117954 + 0.162350i
\(214\) 18.3238i 1.25259i
\(215\) 3.89731 2.83156i 0.265794 0.193111i
\(216\) 8.70173 + 1.37822i 0.592078 + 0.0937760i
\(217\) −1.11226 7.02254i −0.0755052 0.476721i
\(218\) −2.28100 + 1.16223i −0.154489 + 0.0787160i
\(219\) 10.6671 10.6671i 0.720816 0.720816i
\(220\) 0.0788768 0.0124929i 0.00531788 0.000842269i
\(221\) 1.68029 + 5.17139i 0.113028 + 0.347865i
\(222\) −4.51460 + 28.5041i −0.303000 + 1.91307i
\(223\) −5.40722 + 16.6417i −0.362094 + 1.11441i 0.589686 + 0.807632i \(0.299251\pi\)
−0.951781 + 0.306779i \(0.900749\pi\)
\(224\) 4.44593 + 2.26531i 0.297056 + 0.151358i
\(225\) −17.6753 + 5.74304i −1.17835 + 0.382869i
\(226\) −1.64336 + 0.533961i −0.109315 + 0.0355185i
\(227\) −24.2713 12.3668i −1.61094 0.820816i −0.999565 0.0294771i \(-0.990616\pi\)
−0.611377 0.791339i \(-0.709384\pi\)
\(228\) 0.688546 2.11913i 0.0456001 0.140343i
\(229\) 3.54084 22.3560i 0.233985 1.47733i −0.538679 0.842511i \(-0.681077\pi\)
0.772665 0.634815i \(-0.218923\pi\)
\(230\) 0.370647 + 1.14074i 0.0244398 + 0.0752179i
\(231\) 6.76715 1.07181i 0.445246 0.0705201i
\(232\) −2.33754 + 2.33754i −0.153467 + 0.153467i
\(233\) 21.5716 10.9913i 1.41320 0.720062i 0.430041 0.902809i \(-0.358499\pi\)
0.983160 + 0.182747i \(0.0584990\pi\)
\(234\) 0.887113 + 5.60101i 0.0579924 + 0.366150i
\(235\) 3.03671 + 0.480967i 0.198093 + 0.0313748i
\(236\) 1.35854 0.987034i 0.0884332 0.0642504i
\(237\) 32.7783i 2.12918i
\(238\) 24.3729 + 33.5465i 1.57986 + 2.17450i
\(239\) −10.1154 + 19.8526i −0.654312 + 1.28416i 0.290603 + 0.956844i \(0.406144\pi\)
−0.944915 + 0.327316i \(0.893856\pi\)
\(240\) −4.10316 8.05290i −0.264858 0.519813i
\(241\) −7.10275 + 9.77610i −0.457528 + 0.629734i −0.973994 0.226574i \(-0.927247\pi\)
0.516466 + 0.856308i \(0.327247\pi\)
\(242\) 12.8116 + 9.30818i 0.823562 + 0.598353i
\(243\) −14.2593 14.2593i −0.914733 0.914733i
\(244\) 0.249747 + 0.0811477i 0.0159884 + 0.00519495i
\(245\) 11.5188 0.735911
\(246\) 5.69970 + 24.8169i 0.363400 + 1.58227i
\(247\) −3.97613 −0.252995
\(248\) 3.87361 + 1.25861i 0.245975 + 0.0799221i
\(249\) 25.0054 + 25.0054i 1.58466 + 1.58466i
\(250\) 8.71348 + 6.33072i 0.551089 + 0.400390i
\(251\) 4.67048 6.42836i 0.294798 0.405755i −0.635767 0.771881i \(-0.719316\pi\)
0.930565 + 0.366126i \(0.119316\pi\)
\(252\) 1.69684 + 3.33024i 0.106891 + 0.209785i
\(253\) 0.259043 0.508401i 0.0162859 0.0319629i
\(254\) −8.69167 11.9631i −0.545364 0.750629i
\(255\) 12.4706i 0.780942i
\(256\) −3.64196 + 2.64604i −0.227622 + 0.165377i
\(257\) −23.2164 3.67711i −1.44820 0.229372i −0.617709 0.786407i \(-0.711939\pi\)
−0.830489 + 0.557035i \(0.811939\pi\)
\(258\) −3.87000 24.4342i −0.240936 1.52121i
\(259\) 30.2431 15.4096i 1.87921 0.957508i
\(260\) 0.0940176 0.0940176i 0.00583072 0.00583072i
\(261\) −5.14700 + 0.815204i −0.318591 + 0.0504599i
\(262\) 0.372594 + 1.14673i 0.0230189 + 0.0708450i
\(263\) −3.34437 + 21.1155i −0.206222 + 1.30204i 0.639656 + 0.768661i \(0.279077\pi\)
−0.845878 + 0.533376i \(0.820923\pi\)
\(264\) −1.21284 + 3.73274i −0.0746453 + 0.229734i
\(265\) −3.69360 1.88198i −0.226896 0.115609i
\(266\) −28.8374 + 9.36984i −1.76813 + 0.574502i
\(267\) 4.98637 1.62017i 0.305161 0.0991528i
\(268\) −0.950090 0.484095i −0.0580360 0.0295708i
\(269\) −8.35420 + 25.7116i −0.509364 + 1.56766i 0.283943 + 0.958841i \(0.408357\pi\)
−0.793308 + 0.608821i \(0.791643\pi\)
\(270\) 0.589381 3.72121i 0.0358686 0.226466i
\(271\) −3.68892 11.3533i −0.224086 0.689666i −0.998383 0.0568438i \(-0.981896\pi\)
0.774297 0.632822i \(-0.218104\pi\)
\(272\) −25.7005 + 4.07056i −1.55832 + 0.246814i
\(273\) 8.06614 8.06614i 0.488185 0.488185i
\(274\) 5.67401 2.89105i 0.342780 0.174655i
\(275\) −0.375195 2.36889i −0.0226251 0.142849i
\(276\) 0.525811 + 0.0832802i 0.0316501 + 0.00501288i
\(277\) −11.8657 + 8.62092i −0.712940 + 0.517981i −0.884121 0.467259i \(-0.845242\pi\)
0.171181 + 0.985240i \(0.445242\pi\)
\(278\) 7.43371i 0.445844i
\(279\) 3.77389 + 5.19431i 0.225937 + 0.310975i
\(280\) −4.40535 + 8.64598i −0.263270 + 0.516696i
\(281\) 4.85610 + 9.53063i 0.289691 + 0.568550i 0.989286 0.145989i \(-0.0466365\pi\)
−0.699596 + 0.714539i \(0.746636\pi\)
\(282\) 9.28054 12.7736i 0.552648 0.760655i
\(283\) 15.4306 + 11.2110i 0.917254 + 0.666424i 0.942839 0.333249i \(-0.108145\pi\)
−0.0255849 + 0.999673i \(0.508145\pi\)
\(284\) −0.145795 0.145795i −0.00865133 0.00865133i
\(285\) 8.67273 + 2.81794i 0.513728 + 0.166920i
\(286\) −0.731832 −0.0432742
\(287\) 19.6734 22.5797i 1.16128 1.33284i
\(288\) −4.50586 −0.265510
\(289\) −17.9785 5.84156i −1.05756 0.343621i
\(290\) 0.999625 + 0.999625i 0.0587000 + 0.0587000i
\(291\) 4.22415 + 3.06903i 0.247624 + 0.179909i
\(292\) −0.624243 + 0.859197i −0.0365311 + 0.0502807i
\(293\) 11.7759 + 23.1115i 0.687957 + 1.35019i 0.925475 + 0.378808i \(0.123666\pi\)
−0.237519 + 0.971383i \(0.576334\pi\)
\(294\) 26.8551 52.7061i 1.56622 3.07388i
\(295\) 4.03953 + 5.55994i 0.235191 + 0.323712i
\(296\) 19.4438i 1.13015i
\(297\) −1.45000 + 1.05349i −0.0841376 + 0.0611296i
\(298\) −11.5823 1.83445i −0.670943 0.106267i
\(299\) −0.148612 0.938296i −0.00859443 0.0542631i
\(300\) 1.99384 1.01591i 0.115114 0.0586536i
\(301\) −20.5742 + 20.5742i −1.18587 + 1.18587i
\(302\) 30.2115 4.78503i 1.73848 0.275348i
\(303\) −6.98720 21.5044i −0.401404 1.23539i
\(304\) 2.97656 18.7933i 0.170717 1.07787i
\(305\) −0.332105 + 1.02211i −0.0190163 + 0.0585260i
\(306\) −33.3631 16.9993i −1.90724 0.971787i
\(307\) −8.23334 + 2.67517i −0.469901 + 0.152680i −0.534390 0.845238i \(-0.679459\pi\)
0.0644882 + 0.997918i \(0.479459\pi\)
\(308\) −0.458739 + 0.149053i −0.0261391 + 0.00849311i
\(309\) −10.2892 5.24262i −0.585333 0.298242i
\(310\) 0.538233 1.65651i 0.0305696 0.0940836i
\(311\) 1.26384 7.97957i 0.0716658 0.452480i −0.925595 0.378515i \(-0.876435\pi\)
0.997261 0.0739647i \(-0.0235652\pi\)
\(312\) 2.01929 + 6.21473i 0.114320 + 0.351840i
\(313\) −3.40878 + 0.539898i −0.192676 + 0.0305168i −0.252026 0.967720i \(-0.581097\pi\)
0.0593507 + 0.998237i \(0.481097\pi\)
\(314\) −12.6283 + 12.6283i −0.712655 + 0.712655i
\(315\) −13.6293 + 6.94449i −0.767925 + 0.391278i
\(316\) 0.360988 + 2.27919i 0.0203071 + 0.128214i
\(317\) 27.5726 + 4.36707i 1.54863 + 0.245279i 0.871431 0.490519i \(-0.163193\pi\)
0.677201 + 0.735798i \(0.263193\pi\)
\(318\) −17.2226 + 12.5129i −0.965794 + 0.701690i
\(319\) 0.672510i 0.0376534i
\(320\) −3.23470 4.45218i −0.180825 0.248885i
\(321\) 15.1109 29.6569i 0.843410 1.65529i
\(322\) −3.28894 6.45490i −0.183285 0.359718i
\(323\) 15.4319 21.2401i 0.858652 1.18183i
\(324\) 0.586675 + 0.426245i 0.0325931 + 0.0236803i
\(325\) −2.82361 2.82361i −0.156625 0.156625i
\(326\) 2.81562 + 0.914849i 0.155943 + 0.0506688i
\(327\) −4.65023 −0.257158
\(328\) 6.40847 + 15.9136i 0.353848 + 0.878682i
\(329\) −18.5701 −1.02380
\(330\) 1.59627 + 0.518659i 0.0878718 + 0.0285513i
\(331\) −15.9651 15.9651i −0.877522 0.877522i 0.115756 0.993278i \(-0.463071\pi\)
−0.993278 + 0.115756i \(0.963071\pi\)
\(332\) −2.01410 1.46333i −0.110538 0.0803106i
\(333\) −18.0161 + 24.7970i −0.987274 + 1.35887i
\(334\) −12.8455 25.2107i −0.702875 1.37947i
\(335\) 1.98121 3.88834i 0.108245 0.212442i
\(336\) 32.0863 + 44.1631i 1.75045 + 2.40929i
\(337\) 24.7909i 1.35045i 0.737614 + 0.675223i \(0.235952\pi\)
−0.737614 + 0.675223i \(0.764048\pi\)
\(338\) 14.5755 10.5897i 0.792804 0.576006i
\(339\) −3.10011 0.491008i −0.168375 0.0266679i
\(340\) 0.137339 + 0.867127i 0.00744827 + 0.0470265i
\(341\) −0.738271 + 0.376168i −0.0399796 + 0.0203706i
\(342\) 19.3611 19.3611i 1.04693 1.04693i
\(343\) −36.3795 + 5.76195i −1.96431 + 0.311116i
\(344\) −5.15057 15.8518i −0.277700 0.854673i
\(345\) −0.340832 + 2.15193i −0.0183498 + 0.115856i
\(346\) −2.74510 + 8.44855i −0.147578 + 0.454197i
\(347\) −3.20315 1.63209i −0.171954 0.0876149i 0.365895 0.930656i \(-0.380763\pi\)
−0.537849 + 0.843041i \(0.680763\pi\)
\(348\) 0.596746 0.193894i 0.0319889 0.0103938i
\(349\) −0.272833 + 0.0886489i −0.0146044 + 0.00474526i −0.316310 0.948656i \(-0.602444\pi\)
0.301706 + 0.953401i \(0.402444\pi\)
\(350\) −27.1324 13.8247i −1.45029 0.738959i
\(351\) −0.922121 + 2.83800i −0.0492192 + 0.151481i
\(352\) 0.0909651 0.574331i 0.00484846 0.0306119i
\(353\) −7.26560 22.3612i −0.386709 1.19017i −0.935233 0.354033i \(-0.884810\pi\)
0.548524 0.836135i \(-0.315190\pi\)
\(354\) 34.8581 5.52098i 1.85269 0.293437i
\(355\) 0.596679 0.596679i 0.0316685 0.0316685i
\(356\) −0.328876 + 0.167571i −0.0174304 + 0.00888124i
\(357\) 11.7829 + 74.3942i 0.623616 + 3.93736i
\(358\) 13.3779 + 2.11885i 0.707043 + 0.111985i
\(359\) 27.7932 20.1929i 1.46687 1.06574i 0.485363 0.874313i \(-0.338687\pi\)
0.981506 0.191430i \(-0.0613125\pi\)
\(360\) 8.76252i 0.461825i
\(361\) 0.116485 + 0.160328i 0.00613080 + 0.00843832i
\(362\) −12.7988 + 25.1191i −0.672691 + 1.32023i
\(363\) 13.0594 + 25.6305i 0.685440 + 1.34525i
\(364\) −0.472033 + 0.649698i −0.0247413 + 0.0340534i
\(365\) −3.51635 2.55477i −0.184054 0.133723i
\(366\) 3.90256 + 3.90256i 0.203990 + 0.203990i
\(367\) 24.8067 + 8.06019i 1.29490 + 0.420738i 0.873804 0.486278i \(-0.161646\pi\)
0.421096 + 0.907016i \(0.361646\pi\)
\(368\) 4.54612 0.236983
\(369\) −6.57227 + 26.2328i −0.342139 + 1.36562i
\(370\) 8.31494 0.432273
\(371\) 23.8125 + 7.73715i 1.23628 + 0.401693i
\(372\) −0.546643 0.546643i −0.0283421 0.0283421i
\(373\) 8.17007 + 5.93590i 0.423030 + 0.307349i 0.778856 0.627203i \(-0.215800\pi\)
−0.355826 + 0.934552i \(0.615800\pi\)
\(374\) 2.84033 3.90938i 0.146870 0.202149i
\(375\) 8.88200 + 17.4319i 0.458664 + 0.900180i
\(376\) 4.82943 9.47828i 0.249059 0.488805i
\(377\) −0.658131 0.905839i −0.0338955 0.0466531i
\(378\) 22.7559i 1.17044i
\(379\) 10.7064 7.77867i 0.549952 0.399563i −0.277816 0.960634i \(-0.589611\pi\)
0.827768 + 0.561071i \(0.189611\pi\)
\(380\) −0.634078 0.100428i −0.0325275 0.00515185i
\(381\) −4.20191 26.5298i −0.215270 1.35916i
\(382\) −14.8521 + 7.56752i −0.759899 + 0.387188i
\(383\) 4.86397 4.86397i 0.248537 0.248537i −0.571833 0.820370i \(-0.693767\pi\)
0.820370 + 0.571833i \(0.193767\pi\)
\(384\) −33.5771 + 5.31809i −1.71347 + 0.271388i
\(385\) −0.610016 1.87743i −0.0310893 0.0956829i
\(386\) −2.70636 + 17.0873i −0.137750 + 0.869718i
\(387\) 8.11923 24.9884i 0.412724 1.27023i
\(388\) −0.327519 0.166879i −0.0166272 0.00847201i
\(389\) 29.0233 9.43023i 1.47154 0.478132i 0.539965 0.841687i \(-0.318437\pi\)
0.931572 + 0.363556i \(0.118437\pi\)
\(390\) 2.65767 0.863529i 0.134576 0.0437265i
\(391\) 5.58907 + 2.84777i 0.282651 + 0.144018i
\(392\) 12.3156 37.9036i 0.622033 1.91442i
\(393\) −0.342622 + 2.16323i −0.0172830 + 0.109121i
\(394\) 4.62058 + 14.2207i 0.232781 + 0.716427i
\(395\) −9.32779 + 1.47738i −0.469332 + 0.0743349i
\(396\) 0.307993 0.307993i 0.0154772 0.0154772i
\(397\) −21.4147 + 10.9114i −1.07477 + 0.547625i −0.899512 0.436896i \(-0.856078\pi\)
−0.175263 + 0.984522i \(0.556078\pi\)
\(398\) −1.94787 12.2983i −0.0976377 0.616460i
\(399\) −54.4001 8.61612i −2.72341 0.431346i
\(400\) 15.4596 11.2320i 0.772979 0.561602i
\(401\) 4.76630i 0.238018i 0.992893 + 0.119009i \(0.0379717\pi\)
−0.992893 + 0.119009i \(0.962028\pi\)
\(402\) −13.1726 18.1306i −0.656992 0.904272i
\(403\) −0.626291 + 1.22917i −0.0311978 + 0.0612291i
\(404\) 0.722671 + 1.41832i 0.0359542 + 0.0705642i
\(405\) −1.74445 + 2.40103i −0.0866823 + 0.119308i
\(406\) −6.90780 5.01881i −0.342828 0.249079i
\(407\) −2.79699 2.79699i −0.138642 0.138642i
\(408\) −41.0356 13.3333i −2.03157 0.660096i
\(409\) −37.1120 −1.83507 −0.917534 0.397657i \(-0.869824\pi\)
−0.917534 + 0.397657i \(0.869824\pi\)
\(410\) 6.80529 2.74052i 0.336089 0.135344i
\(411\) 11.5675 0.570582
\(412\) 0.773181 + 0.251222i 0.0380919 + 0.0123768i
\(413\) −29.3513 29.3513i −1.44428 1.44428i
\(414\) 5.29251 + 3.84524i 0.260113 + 0.188983i
\(415\) 5.98881 8.24289i 0.293979 0.404628i
\(416\) −0.439525 0.862616i −0.0215495 0.0422933i
\(417\) 6.13030 12.0314i 0.300202 0.589180i
\(418\) 2.07696 + 2.85870i 0.101588 + 0.139823i
\(419\) 11.2273i 0.548491i 0.961660 + 0.274246i \(0.0884281\pi\)
−0.961660 + 0.274246i \(0.911572\pi\)
\(420\) 1.49005 1.08258i 0.0727069 0.0528246i
\(421\) −16.7385 2.65113i −0.815787 0.129208i −0.265422 0.964132i \(-0.585511\pi\)
−0.550365 + 0.834924i \(0.685511\pi\)
\(422\) 3.00526 + 18.9745i 0.146294 + 0.923664i
\(423\) 14.9413 7.61299i 0.726473 0.370156i
\(424\) −10.1419 + 10.1419i −0.492534 + 0.492534i
\(425\) 26.0422 4.12468i 1.26323 0.200076i
\(426\) −1.33909 4.12130i −0.0648792 0.199677i
\(427\) 1.01544 6.41125i 0.0491407 0.310262i
\(428\) −0.724103 + 2.22856i −0.0350008 + 0.107722i
\(429\) −1.18446 0.603515i −0.0571865 0.0291380i
\(430\) −6.77887 + 2.20259i −0.326906 + 0.106218i
\(431\) −19.3545 + 6.28864i −0.932271 + 0.302913i −0.735491 0.677534i \(-0.763048\pi\)
−0.196780 + 0.980448i \(0.563048\pi\)
\(432\) −12.7235 6.48296i −0.612160 0.311911i
\(433\) 6.55082 20.1613i 0.314812 0.968893i −0.661019 0.750369i \(-0.729876\pi\)
0.975832 0.218524i \(-0.0701241\pi\)
\(434\) −1.64570 + 10.3905i −0.0789961 + 0.498762i
\(435\) 0.793531 + 2.44224i 0.0380469 + 0.117096i
\(436\) 0.323346 0.0512130i 0.0154855 0.00245266i
\(437\) −3.24343 + 3.24343i −0.155154 + 0.155154i
\(438\) −19.8878 + 10.1333i −0.950275 + 0.484189i
\(439\) 3.23308 + 20.4129i 0.154306 + 0.974252i 0.936360 + 0.351041i \(0.114172\pi\)
−0.782054 + 0.623211i \(0.785828\pi\)
\(440\) 1.11690 + 0.176900i 0.0532461 + 0.00843335i
\(441\) 50.8267 36.9278i 2.42032 1.75846i
\(442\) 8.04534i 0.382678i
\(443\) 12.7566 + 17.5580i 0.606086 + 0.834206i 0.996248 0.0865400i \(-0.0275810\pi\)
−0.390162 + 0.920746i \(0.627581\pi\)
\(444\) 1.67547 3.28830i 0.0795143 0.156056i
\(445\) −0.685800 1.34596i −0.0325100 0.0638045i
\(446\) 15.2179 20.9456i 0.720588 0.991804i
\(447\) −17.2330 12.5205i −0.815093 0.592200i
\(448\) 23.5034 + 23.5034i 1.11043 + 1.11043i
\(449\) −5.28118 1.71596i −0.249234 0.0809812i 0.181736 0.983347i \(-0.441829\pi\)
−0.430970 + 0.902366i \(0.641829\pi\)
\(450\) 27.4981 1.29628
\(451\) −3.21103 1.36731i −0.151202 0.0643843i
\(452\) 0.220968 0.0103935
\(453\) 52.8431 + 17.1698i 2.48279 + 0.806706i
\(454\) 28.4997 + 28.4997i 1.33756 + 1.33756i
\(455\) −2.65895 1.93184i −0.124654 0.0905662i
\(456\) 18.5453 25.5254i 0.868463 1.19534i
\(457\) −17.5772 34.4973i −0.822229 1.61371i −0.789101 0.614264i \(-0.789453\pi\)
−0.0331277 0.999451i \(-0.510547\pi\)
\(458\) −15.2042 + 29.8400i −0.710447 + 1.39433i
\(459\) −11.5814 15.9405i −0.540575 0.744038i
\(460\) 0.153385i 0.00715160i
\(461\) −4.11822 + 2.99206i −0.191805 + 0.139354i −0.679543 0.733636i \(-0.737822\pi\)
0.487738 + 0.872990i \(0.337822\pi\)
\(462\) −10.0127 1.58585i −0.465832 0.0737805i
\(463\) −0.451109 2.84819i −0.0209648 0.132367i 0.974986 0.222266i \(-0.0713454\pi\)
−0.995951 + 0.0898996i \(0.971345\pi\)
\(464\) 4.77414 2.43255i 0.221634 0.112928i
\(465\) 2.23719 2.23719i 0.103747 0.103747i
\(466\) −35.3806 + 5.60373i −1.63897 + 0.259588i
\(467\) 11.3892 + 35.0524i 0.527030 + 1.62203i 0.760266 + 0.649612i \(0.225069\pi\)
−0.233235 + 0.972420i \(0.574931\pi\)
\(468\) 0.113444 0.716258i 0.00524396 0.0331090i
\(469\) −8.14508 + 25.0680i −0.376105 + 1.15753i
\(470\) −4.05329 2.06525i −0.186964 0.0952631i
\(471\) −30.8528 + 10.0247i −1.42162 + 0.461914i
\(472\) 22.6144 7.34785i 1.04091 0.338212i
\(473\) 3.02119 + 1.53938i 0.138915 + 0.0707806i
\(474\) −14.9869 + 46.1250i −0.688373 + 2.11859i
\(475\) −3.01613 + 19.0431i −0.138390 + 0.873758i
\(476\) −1.63861 5.04312i −0.0751055 0.231151i
\(477\) −22.3313 + 3.53693i −1.02248 + 0.161945i
\(478\) 23.3113 23.3113i 1.06623 1.06623i
\(479\) −28.4248 + 14.4832i −1.29876 + 0.661752i −0.960232 0.279203i \(-0.909930\pi\)
−0.338530 + 0.940956i \(0.609930\pi\)
\(480\) 0.347342 + 2.19303i 0.0158539 + 0.100098i
\(481\) −6.50460 1.03023i −0.296584 0.0469743i
\(482\) 14.4647 10.5092i 0.658849 0.478682i
\(483\) 13.1595i 0.598777i
\(484\) −1.19033 1.63835i −0.0541060 0.0744705i
\(485\) 0.682969 1.34040i 0.0310120 0.0608645i
\(486\) 13.5458 + 26.5850i 0.614448 + 1.20592i
\(487\) 10.5402 14.5073i 0.477621 0.657389i −0.500424 0.865780i \(-0.666823\pi\)
0.978046 + 0.208391i \(0.0668227\pi\)
\(488\) 3.00826 + 2.18563i 0.136178 + 0.0989389i
\(489\) 3.80261 + 3.80261i 0.171960 + 0.171960i
\(490\) −16.2091 5.26665i −0.732252 0.237923i
\(491\) 25.0172 1.12901 0.564505 0.825430i \(-0.309067\pi\)
0.564505 + 0.825430i \(0.309067\pi\)
\(492\) 0.287487 3.24350i 0.0129609 0.146228i
\(493\) 7.39319 0.332973
\(494\) 5.59514 + 1.81797i 0.251737 + 0.0817944i
\(495\) 1.26049 + 1.26049i 0.0566548 + 0.0566548i
\(496\) −5.34082 3.88033i −0.239810 0.174232i
\(497\) −2.99575 + 4.12329i −0.134378 + 0.184955i
\(498\) −23.7542 46.6202i −1.06445 2.08910i
\(499\) 11.7228 23.0074i 0.524786 1.02995i −0.464720 0.885458i \(-0.653845\pi\)
0.989506 0.144493i \(-0.0461551\pi\)
\(500\) −0.809573 1.11428i −0.0362052 0.0498322i
\(501\) 51.3966i 2.29623i
\(502\) −9.51139 + 6.91043i −0.424514 + 0.308428i
\(503\) −18.1861 2.88039i −0.810878 0.128430i −0.262792 0.964853i \(-0.584643\pi\)
−0.548086 + 0.836422i \(0.684643\pi\)
\(504\) 8.27926 + 52.2732i 0.368788 + 2.32843i
\(505\) −5.80462 + 2.95760i −0.258302 + 0.131612i
\(506\) −0.596973 + 0.596973i −0.0265387 + 0.0265387i
\(507\) 32.3233 5.11951i 1.43553 0.227366i
\(508\) 0.584346 + 1.79843i 0.0259262 + 0.0797925i
\(509\) −2.90230 + 18.3244i −0.128642 + 0.812214i 0.836015 + 0.548706i \(0.184879\pi\)
−0.964657 + 0.263508i \(0.915121\pi\)
\(510\) −5.70184 + 17.5485i −0.252482 + 0.777059i
\(511\) 23.3908 + 11.9182i 1.03475 + 0.527230i
\(512\) −17.7247 + 5.75912i −0.783330 + 0.254519i
\(513\) 13.7028 4.45232i 0.604995 0.196575i
\(514\) 30.9884 + 15.7894i 1.36684 + 0.696440i
\(515\) −1.02815 + 3.16432i −0.0453057 + 0.139436i
\(516\) −0.494896 + 3.12465i −0.0217866 + 0.137555i
\(517\) 0.668738 + 2.05816i 0.0294111 + 0.0905180i
\(518\) −49.6031 + 7.85636i −2.17944 + 0.345189i
\(519\) −11.4101 + 11.4101i −0.500849 + 0.500849i
\(520\) 1.67753 0.854743i 0.0735644 0.0374829i
\(521\) −1.28799 8.13203i −0.0564277 0.356271i −0.999706 0.0242662i \(-0.992275\pi\)
0.943278 0.332005i \(-0.107725\pi\)
\(522\) 7.61549 + 1.20617i 0.333321 + 0.0527928i
\(523\) −27.7382 + 20.1530i −1.21291 + 0.881229i −0.995492 0.0948499i \(-0.969763\pi\)
−0.217416 + 0.976079i \(0.569763\pi\)
\(524\) 0.154190i 0.00673583i
\(525\) −32.5129 44.7502i −1.41898 1.95306i
\(526\) 14.3606 28.1842i 0.626151 1.22889i
\(527\) −4.13537 8.11613i −0.180140 0.353544i
\(528\) 3.73922 5.14659i 0.162729 0.223977i
\(529\) 17.7208 + 12.8749i 0.770468 + 0.559778i
\(530\) 4.33708 + 4.33708i 0.188391 + 0.188391i
\(531\) 35.6487 + 11.5830i 1.54702 + 0.502659i
\(532\) 3.87751 0.168111
\(533\) −5.66318 + 1.30067i −0.245300 + 0.0563381i
\(534\) −7.75751 −0.335700
\(535\) −9.12060 2.96346i −0.394318 0.128122i
\(536\) −10.6766 10.6766i −0.461160 0.461160i
\(537\) 19.9047 + 14.4616i 0.858950 + 0.624063i
\(538\) 23.5117 32.3611i 1.01366 1.39519i
\(539\) 3.68083 + 7.22404i 0.158545 + 0.311162i
\(540\) −0.218733 + 0.429287i −0.00941276 + 0.0184736i
\(541\) 0.490706 + 0.675399i 0.0210971 + 0.0290377i 0.819435 0.573172i \(-0.194287\pi\)
−0.798338 + 0.602209i \(0.794287\pi\)
\(542\) 17.6629i 0.758685i
\(543\) −41.4296 + 30.1003i −1.77791 + 1.29173i
\(544\) 6.31386 + 1.00002i 0.270705 + 0.0428754i
\(545\) 0.209594 + 1.32332i 0.00897802 + 0.0566850i
\(546\) −15.0385 + 7.66251i −0.643590 + 0.327925i
\(547\) 22.5832 22.5832i 0.965590 0.965590i −0.0338377 0.999427i \(-0.510773\pi\)
0.999427 + 0.0338377i \(0.0107729\pi\)
\(548\) −0.804327 + 0.127393i −0.0343591 + 0.00544195i
\(549\) 1.81134 + 5.57474i 0.0773062 + 0.237924i
\(550\) −0.555138 + 3.50500i −0.0236712 + 0.149454i
\(551\) −1.67061 + 5.14160i −0.0711703 + 0.219040i
\(552\) 6.71668 + 3.42232i 0.285881 + 0.145664i
\(553\) 54.2494 17.6267i 2.30692 0.749564i
\(554\) 20.6388 6.70597i 0.876860 0.284909i
\(555\) 13.4577 + 6.85702i 0.571246 + 0.291064i
\(556\) −0.293759 + 0.904097i −0.0124581 + 0.0383422i
\(557\) 4.35403 27.4903i 0.184486 1.16480i −0.705465 0.708744i \(-0.749262\pi\)
0.889951 0.456055i \(-0.150738\pi\)
\(558\) −2.93560 9.03483i −0.124274 0.382475i
\(559\) 5.57586 0.883130i 0.235834 0.0373524i
\(560\) 11.1214 11.1214i 0.469964 0.469964i
\(561\) 7.82097 3.98498i 0.330202 0.168246i
\(562\) −2.47581 15.6316i −0.104436 0.659381i
\(563\) −29.1631 4.61898i −1.22908 0.194667i −0.492073 0.870554i \(-0.663761\pi\)
−0.737005 + 0.675887i \(0.763761\pi\)
\(564\) −1.63349 + 1.18680i −0.0687822 + 0.0499732i
\(565\) 0.904334i 0.0380456i
\(566\) −16.5878 22.8311i −0.697236 0.959662i
\(567\) 8.13797 15.9717i 0.341763 0.670747i
\(568\) −1.32547 2.60137i −0.0556153 0.109151i
\(569\) −16.9189 + 23.2869i −0.709278 + 0.976237i 0.290535 + 0.956864i \(0.406167\pi\)
−0.999812 + 0.0193726i \(0.993833\pi\)
\(570\) −10.9157 7.93071i −0.457208 0.332181i
\(571\) −19.3493 19.3493i −0.809742 0.809742i 0.174853 0.984595i \(-0.444055\pi\)
−0.984595 + 0.174853i \(0.944055\pi\)
\(572\) 0.0890064 + 0.0289199i 0.00372154 + 0.00120920i
\(573\) −30.2786 −1.26491
\(574\) −38.0079 + 22.7786i −1.58642 + 0.950762i
\(575\) −4.60656 −0.192107
\(576\) −28.5461 9.27520i −1.18942 0.386467i
\(577\) 6.40224 + 6.40224i 0.266529 + 0.266529i 0.827700 0.561171i \(-0.189649\pi\)
−0.561171 + 0.827700i \(0.689649\pi\)
\(578\) 22.6281 + 16.4403i 0.941205 + 0.683826i
\(579\) −18.4714 + 25.4238i −0.767647 + 1.05658i
\(580\) −0.0820733 0.161078i −0.00340791 0.00668840i
\(581\) −27.9382 + 54.8318i −1.15907 + 2.27481i
\(582\) −4.54093 6.25005i −0.188227 0.259073i
\(583\) 2.91783i 0.120844i
\(584\) −12.1663 + 8.83931i −0.503444 + 0.365773i
\(585\) 2.93136 + 0.464281i 0.121197 + 0.0191957i
\(586\) −6.00377 37.9063i −0.248014 1.56590i
\(587\) −4.62167 + 2.35486i −0.190757 + 0.0971955i −0.546760 0.837289i \(-0.684139\pi\)
0.356003 + 0.934485i \(0.384139\pi\)
\(588\) −5.34895 + 5.34895i −0.220587 + 0.220587i
\(589\) 6.57883 1.04198i 0.271076 0.0429342i
\(590\) −3.14223 9.67080i −0.129364 0.398141i
\(591\) −4.24890 + 26.8265i −0.174776 + 1.10349i
\(592\) 9.73876 29.9728i 0.400261 1.23188i
\(593\) −20.8824 10.6401i −0.857538 0.436937i −0.0308006 0.999526i \(-0.509806\pi\)
−0.826737 + 0.562588i \(0.809806\pi\)
\(594\) 2.52209 0.819478i 0.103483 0.0336236i
\(595\) 20.6394 6.70616i 0.846134 0.274926i
\(596\) 1.33616 + 0.680807i 0.0547312 + 0.0278869i
\(597\) 6.98938 21.5111i 0.286056 0.880391i
\(598\) −0.219885 + 1.38830i −0.00899178 + 0.0567719i
\(599\) −9.48601 29.1949i −0.387588 1.19287i −0.934586 0.355739i \(-0.884229\pi\)
0.546998 0.837134i \(-0.315771\pi\)
\(600\) 31.2963 4.95685i 1.27767 0.202363i
\(601\) 5.21941 5.21941i 0.212904 0.212904i −0.592596 0.805500i \(-0.701897\pi\)
0.805500 + 0.592596i \(0.201897\pi\)
\(602\) 38.3585 19.5446i 1.56338 0.796580i
\(603\) −3.72341 23.5087i −0.151629 0.957348i
\(604\) −3.86345 0.611910i −0.157202 0.0248983i
\(605\) 6.70511 4.87155i 0.272601 0.198057i
\(606\) 33.4553i 1.35903i
\(607\) 18.4399 + 25.3803i 0.748452 + 1.03016i 0.998088 + 0.0618155i \(0.0196890\pi\)
−0.249636 + 0.968340i \(0.580311\pi\)
\(608\) −2.12218 + 4.16502i −0.0860658 + 0.168914i
\(609\) −7.04139 13.8195i −0.285332 0.559995i
\(610\) 0.934663 1.28645i 0.0378434 0.0520870i
\(611\) 2.91492 + 2.11781i 0.117925 + 0.0856774i
\(612\) 3.38589 + 3.38589i 0.136867 + 0.136867i
\(613\) 16.7669 + 5.44789i 0.677208 + 0.220038i 0.627373 0.778719i \(-0.284130\pi\)
0.0498354 + 0.998757i \(0.484130\pi\)
\(614\) 12.8089 0.516927
\(615\) 13.2743 + 1.17657i 0.535272 + 0.0474438i
\(616\) −6.83006 −0.275191
\(617\) −7.65218 2.48634i −0.308065 0.100096i 0.150905 0.988548i \(-0.451781\pi\)
−0.458970 + 0.888452i \(0.651781\pi\)
\(618\) 12.0818 + 12.0818i 0.486000 + 0.486000i
\(619\) −5.14200 3.73588i −0.206675 0.150158i 0.479633 0.877469i \(-0.340770\pi\)
−0.686308 + 0.727311i \(0.740770\pi\)
\(620\) −0.130921 + 0.180198i −0.00525792 + 0.00723691i
\(621\) 1.56282 + 3.06721i 0.0627140 + 0.123083i
\(622\) −5.42688 + 10.6509i −0.217598 + 0.427060i
\(623\) 5.36290 + 7.38140i 0.214860 + 0.295729i
\(624\) 10.5915i 0.423999i
\(625\) −13.2395 + 9.61907i −0.529581 + 0.384763i
\(626\) 5.04362 + 0.798832i 0.201584 + 0.0319277i
\(627\) 1.00409 + 6.33957i 0.0400995 + 0.253178i
\(628\) 2.03490 1.03683i 0.0812014 0.0413742i
\(629\) 30.7485 30.7485i 1.22602 1.22602i
\(630\) 22.3541 3.54054i 0.890609 0.141059i
\(631\) 1.29270 + 3.97853i 0.0514616 + 0.158383i 0.973485 0.228753i \(-0.0734647\pi\)
−0.922023 + 0.387135i \(0.873465\pi\)
\(632\) −5.11160 + 32.2734i −0.203329 + 1.28377i
\(633\) −10.7836 + 33.1884i −0.428608 + 1.31912i
\(634\) −36.8030 18.7520i −1.46163 0.744739i
\(635\) −7.36026 + 2.39149i −0.292083 + 0.0949035i
\(636\) 2.58911 0.841251i 0.102665 0.0333578i
\(637\) 12.0275 + 6.12831i 0.476546 + 0.242812i
\(638\) −0.307486 + 0.946344i −0.0121735 + 0.0374661i
\(639\) 0.719970 4.54571i 0.0284816 0.179825i
\(640\) 3.02676 + 9.31541i 0.119643 + 0.368224i
\(641\) 19.3732 3.06842i 0.765196 0.121195i 0.238377 0.971173i \(-0.423385\pi\)
0.526819 + 0.849978i \(0.323385\pi\)
\(642\) −34.8236 + 34.8236i −1.37438 + 1.37438i
\(643\) −9.90543 + 5.04707i −0.390632 + 0.199037i −0.638265 0.769817i \(-0.720347\pi\)
0.247633 + 0.968854i \(0.420347\pi\)
\(644\) 0.144925 + 0.915023i 0.00571086 + 0.0360569i
\(645\) −12.7879 2.02541i −0.503525 0.0797505i
\(646\) −31.4269 + 22.8330i −1.23647 + 0.898351i
\(647\) 10.4368i 0.410313i −0.978729 0.205157i \(-0.934230\pi\)
0.978729 0.205157i \(-0.0657704\pi\)
\(648\) 6.03564 + 8.30735i 0.237102 + 0.326344i
\(649\) −2.19609 + 4.31007i −0.0862040 + 0.169185i
\(650\) 2.68231 + 5.26434i 0.105209 + 0.206484i
\(651\) −11.2322 + 15.4599i −0.440227 + 0.605920i
\(652\) −0.306287 0.222530i −0.0119951 0.00871496i
\(653\) 19.0837 + 19.0837i 0.746802 + 0.746802i 0.973877 0.227075i \(-0.0729163\pi\)
−0.227075 + 0.973877i \(0.572916\pi\)
\(654\) 6.54371 + 2.12618i 0.255879 + 0.0831403i
\(655\) 0.631038 0.0246567
\(656\) −1.90812 27.7408i −0.0744995 1.08310i
\(657\) −23.7061 −0.924862
\(658\) 26.1314 + 8.49062i 1.01871 + 0.330999i
\(659\) −10.8584 10.8584i −0.422984 0.422984i 0.463246 0.886230i \(-0.346685\pi\)
−0.886230 + 0.463246i \(0.846685\pi\)
\(660\) −0.173644 0.126160i −0.00675910 0.00491077i
\(661\) 0.199484 0.274566i 0.00775902 0.0106794i −0.805120 0.593112i \(-0.797899\pi\)
0.812879 + 0.582433i \(0.197899\pi\)
\(662\) 15.1662 + 29.7654i 0.589452 + 1.15686i
\(663\) 6.63470 13.0213i 0.257670 0.505706i
\(664\) −20.7208 28.5197i −0.804123 1.10678i
\(665\) 15.8691i 0.615377i
\(666\) 36.6896 26.6565i 1.42169 1.03292i
\(667\) −1.27577 0.202062i −0.0493979 0.00782385i
\(668\) 0.566031 + 3.57378i 0.0219004 + 0.138274i
\(669\) 41.9031 21.3507i 1.62007 0.825466i
\(670\) −4.56575 + 4.56575i −0.176390 + 0.176390i
\(671\) −0.747142 + 0.118336i −0.0288431 + 0.00456830i
\(672\) −4.14417 12.7544i −0.159865 0.492013i
\(673\) 1.95952 12.3719i 0.0755340 0.476903i −0.920705 0.390258i \(-0.872386\pi\)
0.996239 0.0866442i \(-0.0276143\pi\)
\(674\) 11.3349 34.8853i 0.436604 1.34373i
\(675\) 12.8927 + 6.56915i 0.496240 + 0.252847i
\(676\) −2.19117 + 0.711954i −0.0842757 + 0.0273828i
\(677\) −27.8174 + 9.03841i −1.06911 + 0.347374i −0.790140 0.612926i \(-0.789992\pi\)
−0.278968 + 0.960300i \(0.589992\pi\)
\(678\) 4.13791 + 2.10837i 0.158916 + 0.0809715i
\(679\) −2.80780 + 8.64153i −0.107754 + 0.331631i
\(680\) −1.94473 + 12.2785i −0.0745770 + 0.470861i
\(681\) 22.6239 + 69.6293i 0.866951 + 2.66820i
\(682\) 1.21087 0.191784i 0.0463668 0.00734377i
\(683\) 16.7263 16.7263i 0.640013 0.640013i −0.310545 0.950559i \(-0.600512\pi\)
0.950559 + 0.310545i \(0.100512\pi\)
\(684\) −3.11982 + 1.58963i −0.119289 + 0.0607809i
\(685\) −0.521367 3.29178i −0.0199204 0.125773i
\(686\) 53.8271 + 8.52538i 2.05513 + 0.325500i
\(687\) −49.2159 + 35.7574i −1.87770 + 1.36423i
\(688\) 27.0155i 1.02996i
\(689\) −2.85544 3.93017i −0.108783 0.149728i
\(690\) 1.46352 2.87232i 0.0557153 0.109347i
\(691\) −7.58691 14.8902i −0.288620 0.566448i 0.700484 0.713668i \(-0.252967\pi\)
−0.989104 + 0.147220i \(0.952967\pi\)
\(692\) 0.667725 0.919045i 0.0253831 0.0349369i
\(693\) −8.71047 6.32853i −0.330884 0.240401i
\(694\) 3.76119 + 3.76119i 0.142773 + 0.142773i
\(695\) −3.70010 1.20224i −0.140353 0.0456034i
\(696\) 8.88480 0.336777
\(697\) 15.0315 35.3002i 0.569358 1.33709i
\(698\) 0.424458 0.0160660
\(699\) −61.8844 20.1075i −2.34068 0.760534i
\(700\) 2.75357 + 2.75357i 0.104075 + 0.104075i
\(701\) −29.0200 21.0843i −1.09607 0.796342i −0.115656 0.993289i \(-0.536897\pi\)
−0.980414 + 0.196948i \(0.936897\pi\)
\(702\) 2.59518 3.57196i 0.0979489 0.134815i
\(703\) 14.4360 + 28.3322i 0.544463 + 1.06857i
\(704\) 1.75854 3.45133i 0.0662776 0.130077i
\(705\) −4.85708 6.68520i −0.182928 0.251779i
\(706\) 34.7883i 1.30927i
\(707\) 31.8332 23.1282i 1.19721 0.869825i
\(708\) −4.45766 0.706024i −0.167529 0.0265340i
\(709\) 2.89893 + 18.3031i 0.108872 + 0.687389i 0.980396 + 0.197037i \(0.0631319\pi\)
−0.871524 + 0.490352i \(0.836868\pi\)
\(710\) −1.11245 + 0.566822i −0.0417495 + 0.0212725i
\(711\) −36.4225 + 36.4225i −1.36595 + 1.36595i
\(712\) −5.16222 + 0.817615i −0.193462 + 0.0306414i
\(713\) 0.491779 + 1.51354i 0.0184173 + 0.0566825i
\(714\) 17.4339 110.074i 0.652449 4.11940i
\(715\) −0.118358 + 0.364267i −0.00442632 + 0.0136228i
\(716\) −1.54330 0.786353i −0.0576760 0.0293874i
\(717\) 56.9530 18.5052i 2.12695 0.691088i
\(718\) −48.3427 + 15.7075i −1.80413 + 0.586199i
\(719\) −26.6096 13.5583i −0.992371 0.505638i −0.119104 0.992882i \(-0.538002\pi\)
−0.873266 + 0.487244i \(0.838002\pi\)
\(720\) −4.38886 + 13.5075i −0.163563 + 0.503396i
\(721\) 3.14366 19.8483i 0.117076 0.739190i
\(722\) −0.0906104 0.278870i −0.00337217 0.0103785i
\(723\) 32.0776 5.08059i 1.19298 0.188949i
\(724\) 2.54924 2.54924i 0.0947418 0.0947418i
\(725\) −4.83761 + 2.46489i −0.179664 + 0.0915436i
\(726\) −6.65813 42.0378i −0.247106 1.56017i
\(727\) 5.04235 + 0.798630i 0.187010 + 0.0296195i 0.249237 0.968443i \(-0.419820\pi\)
−0.0622267 + 0.998062i \(0.519820\pi\)
\(728\) −9.19976 + 6.68401i −0.340966 + 0.247726i
\(729\) 42.7006i 1.58150i
\(730\) 3.78004 + 5.20278i 0.139906 + 0.192564i
\(731\) −16.9230 + 33.2133i −0.625920 + 1.22844i
\(732\) −0.320416 0.628852i −0.0118429 0.0232430i
\(733\) −11.5449 + 15.8902i −0.426421 + 0.586918i −0.967127 0.254293i \(-0.918157\pi\)
0.540706 + 0.841212i \(0.318157\pi\)
\(734\) −31.2223 22.6843i −1.15243 0.837293i
\(735\) −21.8911 21.8911i −0.807465 0.807465i
\(736\) −1.06219 0.345125i −0.0391527 0.0127215i
\(737\) 3.07166 0.113146
\(738\) 21.2425 33.9093i 0.781949 1.24822i
\(739\) 21.4364 0.788552 0.394276 0.918992i \(-0.370995\pi\)
0.394276 + 0.918992i \(0.370995\pi\)
\(740\) −1.01127 0.328583i −0.0371752 0.0120789i
\(741\) 7.55648 + 7.55648i 0.277594 + 0.277594i
\(742\) −29.9709 21.7752i −1.10027 0.799391i
\(743\) 15.6932 21.5998i 0.575727 0.792420i −0.417492 0.908681i \(-0.637091\pi\)
0.993219 + 0.116261i \(0.0370908\pi\)
\(744\) −4.96970 9.75359i −0.182198 0.357584i
\(745\) −2.78627 + 5.46835i −0.102081 + 0.200345i
\(746\) −8.78275 12.0884i −0.321559 0.442588i
\(747\) 55.5709i 2.03323i
\(748\) −0.499932 + 0.363222i −0.0182793 + 0.0132807i
\(749\) 57.2093 + 9.06107i 2.09038 + 0.331084i
\(750\) −4.52835 28.5909i −0.165352 1.04399i
\(751\) −16.3078 + 8.30926i −0.595082 + 0.303209i −0.725470 0.688254i \(-0.758378\pi\)
0.130388 + 0.991463i \(0.458378\pi\)
\(752\) −12.1920 + 12.1920i −0.444596 + 0.444596i
\(753\) −21.0929 + 3.34079i −0.768668 + 0.121745i
\(754\) 0.511941 + 1.57559i 0.0186438 + 0.0573797i
\(755\) 2.50430 15.8115i 0.0911409 0.575441i
\(756\) 0.899248 2.76760i 0.0327053 0.100657i
\(757\) 15.9241 + 8.11374i 0.578772 + 0.294899i 0.718765 0.695254i \(-0.244708\pi\)
−0.139993 + 0.990153i \(0.544708\pi\)
\(758\) −18.6224 + 6.05080i −0.676398 + 0.219775i
\(759\) −1.45850 + 0.473894i −0.0529401 + 0.0172013i
\(760\) −8.09969 4.12700i −0.293807 0.149702i
\(761\) 2.00583 6.17330i 0.0727111 0.223782i −0.908096 0.418762i \(-0.862464\pi\)
0.980807 + 0.194980i \(0.0624642\pi\)
\(762\) −6.21714 + 39.2535i −0.225223 + 1.42200i
\(763\) −2.50068 7.69632i −0.0905309 0.278625i