Properties

Label 41.2.g.a.2.2
Level 41
Weight 2
Character 41.2
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 2.2
Character \(\chi\) = 41.2
Dual form 41.2.g.a.21.2

$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{13}{20}\right)\)

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 −0.760877 0.648896i \(-0.775231\pi\)
−0.234151 + 0.972200i \(0.575231\pi\)
\(3\) −1.90046 + 1.90046i −1.09723 + 1.09723i −0.102497 + 0.994733i \(0.532683\pi\)
−0.994733 + 0.102497i \(0.967317\pi\)
\(4\) 0.153075 0.111216i 0.0765376 0.0556078i
\(5\) −0.455161 0.626475i −0.203554 0.280168i 0.695020 0.718991i \(-0.255396\pi\)
−0.898574 + 0.438823i \(0.855396\pi\)
\(6\) 1.80536 3.54322i 0.737036 1.44651i
\(7\) 2.12336 + 4.16732i 0.802553 + 1.57510i 0.818000 + 0.575218i \(0.195083\pi\)
−0.0154469 + 0.999881i \(0.504917\pi\)
\(8\) 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 −0.237063 0.971494i \(-0.576185\pi\)
0.0747477 + 0.997202i \(0.476185\pi\)
\(12\) −0.0795524 + 0.502274i −0.0229648 + 0.144994i
\(13\) −0.808560 0.411982i −0.224254 0.114263i 0.338254 0.941055i \(-0.390164\pi\)
−0.562508 + 0.826792i \(0.690164\pi\)
\(14\) −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 0.792238 + 0.610212i \(0.208916\pi\)
−0.564897 + 0.825161i \(0.691084\pi\)
\(18\) 1.93107 + 5.94322i 0.455157 + 1.40083i
\(19\) 3.90401 1.98919i 0.895641 0.456352i 0.0553374 0.998468i \(-0.482377\pi\)
0.840304 + 0.542116i \(0.182377\pi\)
\(20\) −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 0.911648 0.410972i \(-0.134811\pi\)
−0.979102 + 0.203370i \(0.934811\pi\)
\(24\) 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 −0.963265 0.268554i \(-0.913454\pi\)
0.999107 + 0.0422549i \(0.0134542\pi\)
\(30\) −3.04147 + 0.481721i −0.555294 + 0.0879499i
\(31\) 1.22986 + 0.893547i 0.220890 + 0.160486i 0.692727 0.721200i \(-0.256409\pi\)
−0.471837 + 0.881686i \(0.656409\pi\)
\(32\) 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 0.0108626 0.999941i \(-0.496542\pi\)
0.954357 + 0.298668i \(0.0965423\pi\)
\(38\) −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 −0.723171 0.690669i \(-0.757316\pi\)
−0.179092 + 0.983832i \(0.557316\pi\)
\(44\) −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 −0.984296 0.176528i \(-0.943513\pi\)
0.721369 + 0.692551i \(0.243513\pi\)
\(48\) −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 −0.860992 0.508618i \(-0.830157\pi\)
0.976024 0.217663i \(-0.0698434\pi\)
\(54\) −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 0.954814 + 0.297203i \(0.0960538\pi\)
−0.597769 + 0.801668i \(0.703946\pi\)
\(60\) 0.350871 0.178778i 0.0452972 0.0230801i
\(61\) 1.31994 + 0.428873i 0.169001 + 0.0549116i 0.392295 0.919839i \(-0.371681\pi\)
−0.223295 + 0.974751i \(0.571681\pi\)
\(62\) −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 −0.193135 0.981172i \(-0.561866\pi\)
−0.486881 + 0.873468i \(0.661866\pi\)
\(68\) 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 −0.219973 0.975506i \(-0.570597\pi\)
0.0922409 + 0.995737i \(0.470597\pi\)
\(72\) −9.15463 6.65123i −1.07888 0.783855i
\(73\) 5.61291i 0.656941i −0.944514 0.328471i \(-0.893467\pi\)
0.944514 0.328471i \(-0.106533\pi\)
\(74\) −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 −0.0293183 0.999570i \(-0.509334\pi\)
0.999570 + 0.0293183i \(0.00933364\pi\)
\(80\) 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 0.839293 0.543679i \(-0.182969\pi\)
−0.933170 + 0.359436i \(0.882969\pi\)
\(90\) 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 0.0582598 0.998301i \(-0.481445\pi\)
−0.253084 + 0.967444i \(0.581445\pi\)
\(98\) 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 −0.0393710 0.999225i \(-0.512535\pi\)
0.785248 + 0.619181i \(0.212535\pi\)
\(102\) 22.6617 + 7.36325i 2.24385 + 0.729070i
\(103\) 4.08634 + 1.32773i 0.402639 + 0.130825i 0.503334 0.864092i \(-0.332107\pi\)
−0.100695 + 0.994917i \(0.532107\pi\)
\(104\) −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 −0.576847 0.816852i \(-0.695717\pi\)
0.946813 0.321785i \(-0.104283\pi\)
\(108\) 0.614527 + 0.0973316i 0.0591329 + 0.00936574i
\(109\) 1.22345 + 1.22345i 0.117185 + 0.117185i 0.763268 0.646082i \(-0.223594\pi\)
−0.646082 + 0.763268i \(0.723594\pi\)
\(110\) −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 0.631338 0.775508i \(-0.282506\pi\)
−0.542458 + 0.840083i \(0.682506\pi\)
\(114\) 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 −0.168113 0.985768i \(-0.553767\pi\)
0.885571 + 0.464504i \(0.153767\pi\)
\(128\) 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 −0.829429 0.558612i \(-0.811334\pi\)
0.787579 + 0.616213i \(0.211334\pi\)
\(132\) 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 0.565048 0.825058i \(-0.308858\pi\)
−0.825058 + 0.565048i \(0.808858\pi\)
\(138\) −4.11175 0.651237i −0.350015 0.0554369i
\(139\) 1.55254 4.77824i 0.131685 0.405285i −0.863375 0.504563i \(-0.831653\pi\)
0.995060 + 0.0992785i \(0.0316535\pi\)
\(140\) −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 0.468608 0.883406i \(-0.344756\pi\)
0.172685 + 0.984977i \(0.444756\pi\)
\(150\) −12.3734 12.3734i −1.01029 1.01029i
\(151\) −18.4200 9.38545i −1.49900 0.763777i −0.504002 0.863702i \(-0.668140\pi\)
−0.994995 + 0.0999253i \(0.968140\pi\)
\(152\) 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 0.999510 + 0.0312976i \(0.00996395\pi\)
−0.562177 + 0.827017i \(0.690036\pi\)
\(158\) −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 0.0475043 0.998871i \(-0.484873\pi\)
0.998871 0.0475043i \(-0.0151268\pi\)
\(168\) −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 \(0.0732949\pi\)
−0.973606 + 0.228233i \(0.926705\pi\)
\(174\) −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 −0.190904 0.981609i \(-0.561142\pi\)
−0.484894 + 0.874573i \(0.661142\pi\)
\(180\) −0.191226 + 0.588533i −0.0142531 + 0.0438667i
\(181\) 2.98065 + 18.8191i 0.221550 + 1.39881i 0.808169 + 0.588950i \(0.200459\pi\)
−0.586619 + 0.809863i \(0.699541\pi\)
\(182\) 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 0.933912 0.357503i \(-0.116372\pi\)
−0.357503 + 0.933912i \(0.616372\pi\)
\(192\) 17.0186 + 8.67141i 1.22821 + 0.625805i
\(193\) −1.82911 + 11.5486i −0.131663 + 0.831285i 0.830143 + 0.557551i \(0.188259\pi\)
−0.961805 + 0.273734i \(0.911741\pi\)
\(194\) 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 −0.966378 0.257126i \(-0.917225\pi\)
0.543168 + 0.839624i \(0.317225\pi\)
\(198\) −1.54632 3.03482i −0.109892 0.215675i
\(199\) 3.82058 7.49832i 0.270834 0.531542i −0.715029 0.699095i \(-0.753587\pi\)
0.985863 + 0.167553i \(0.0535866\pi\)
\(200\) −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 −0.999969 0.00791335i \(-0.997481\pi\)
0.594169 + 0.804340i \(0.297481\pi\)
\(212\) −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 −0.951781 0.306779i \(-0.900749\pi\)
0.589686 0.807632i \(-0.299251\pi\)
\(224\) 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 −0.611377 + 0.791339i \(0.709384\pi\)
−0.999565 + 0.0294771i \(0.990616\pi\)
\(228\) 0.688546 + 2.11913i 0.0456001 + 0.140343i
\(229\) 3.54084 + 22.3560i 0.233985 + 1.47733i 0.772665 + 0.634815i \(0.218923\pi\)
−0.538679 + 0.842511i \(0.681077\pi\)
\(230\) 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 0.983160 0.182747i \(-0.0584990\pi\)
0.430041 + 0.902809i \(0.358499\pi\)
\(234\) 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 −0.944915 0.327316i \(-0.893856\pi\)
0.290603 0.956844i \(-0.406144\pi\)
\(240\) −4.10316 + 8.05290i −0.264858 + 0.519813i
\(241\) −7.10275 9.77610i −0.457528 0.629734i 0.516466 0.856308i \(-0.327247\pi\)
−0.973994 + 0.226574i \(0.927247\pi\)
\(242\) 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 0.930565 0.366126i \(-0.119316\pi\)
−0.635767 + 0.771881i \(0.719316\pi\)
\(252\) 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 −0.830489 0.557035i \(-0.811939\pi\)
−0.617709 + 0.786407i \(0.711939\pi\)
\(258\) −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 −0.845878 0.533376i \(-0.820923\pi\)
0.639656 0.768661i \(-0.279077\pi\)
\(264\) −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 −0.793308 0.608821i \(-0.791643\pi\)
0.283943 0.958841i \(-0.408357\pi\)
\(270\) 0.589381 + 3.72121i 0.0358686 + 0.226466i
\(271\) −3.68892 + 11.3533i −0.224086 + 0.689666i 0.774297 + 0.632822i \(0.218104\pi\)
−0.998383 + 0.0568438i \(0.981896\pi\)
\(272\) −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 0.171181 0.985240i \(-0.445242\pi\)
−0.884121 + 0.467259i \(0.845242\pi\)
\(278\) 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 −0.699596 0.714539i \(-0.746636\pi\)
0.989286 + 0.145989i \(0.0466365\pi\)
\(282\) 9.28054 + 12.7736i 0.552648 + 0.760655i
\(283\) 15.4306 11.2110i 0.917254 0.666424i −0.0255849 0.999673i \(-0.508145\pi\)
0.942839 + 0.333249i \(0.108145\pi\)
\(284\) −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 −0.237519 0.971383i \(-0.576334\pi\)
0.925475 0.378808i \(-0.123666\pi\)
\(294\) 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 0.0644882 0.997918i \(-0.479459\pi\)
−0.534390 + 0.845238i \(0.679459\pi\)
\(308\) −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 0.997261 + 0.0739647i \(0.0235652\pi\)
−0.925595 + 0.378515i \(0.876435\pi\)
\(312\) 2.01929 6.21473i 0.114320 0.351840i
\(313\) −3.40878 0.539898i −0.192676 0.0305168i 0.0593507 0.998237i \(-0.481097\pi\)
−0.252026 + 0.967720i \(0.581097\pi\)
\(314\) −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 0.677201 0.735798i \(-0.263193\pi\)
0.871431 + 0.490519i \(0.163193\pi\)
\(318\) −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 −0.993278 0.115756i \(-0.963071\pi\)
0.115756 + 0.993278i \(0.463071\pi\)
\(332\) −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 \(-0.764048\pi\)
0.737614 0.675223i \(-0.235952\pi\)
\(338\) 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 −0.537849 0.843041i \(-0.680763\pi\)
0.365895 + 0.930656i \(0.380763\pi\)
\(348\) 0.596746 + 0.193894i 0.0319889 + 0.0103938i
\(349\) −0.272833 0.0886489i −0.0146044 0.00474526i 0.301706 0.953401i \(-0.402444\pi\)
−0.316310 + 0.948656i \(0.602444\pi\)
\(350\) −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 0.548524 + 0.836135i \(0.315190\pi\)
−0.935233 + 0.354033i \(0.884810\pi\)
\(354\) 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 0.981506 + 0.191430i \(0.0613125\pi\)
0.485363 + 0.874313i \(0.338687\pi\)
\(360\) 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 0.421096 0.907016i \(-0.361646\pi\)
0.873804 + 0.486278i \(0.161646\pi\)
\(368\) 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 −0.355826 0.934552i \(-0.615800\pi\)
0.778856 + 0.627203i \(0.215800\pi\)
\(374\) 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 0.827768 0.561071i \(-0.189611\pi\)
−0.277816 + 0.960634i \(0.589611\pi\)
\(380\) −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 0.820370 0.571833i \(-0.193767\pi\)
−0.571833 + 0.820370i \(0.693767\pi\)
\(384\) −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 0.931572 0.363556i \(-0.118437\pi\)
0.539965 + 0.841687i \(0.318437\pi\)
\(390\) 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 −0.175263 0.984522i \(-0.556078\pi\)
−0.899512 + 0.436896i \(0.856078\pi\)
\(398\) −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 \(-0.962028\pi\)
0.992893 0.119009i \(-0.0379717\pi\)
\(402\) −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 \(-0.911572\pi\)
0.961660 0.274246i \(-0.0884281\pi\)
\(420\) 1.49005 + 1.08258i 0.0727069 + 0.0528246i
\(421\) −16.7385 + 2.65113i −0.815787 + 0.129208i −0.550365 0.834924i \(-0.685511\pi\)
−0.265422 + 0.964132i \(0.585511\pi\)
\(422\) 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 −0.196780 0.980448i \(-0.563048\pi\)
−0.735491 + 0.677534i \(0.763048\pi\)
\(432\) −12.7235 + 6.48296i −0.612160 + 0.311911i
\(433\) 6.55082 + 20.1613i 0.314812 + 0.968893i 0.975832 + 0.218524i \(0.0701241\pi\)
−0.661019 + 0.750369i \(0.729876\pi\)
\(434\) −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 −0.782054 0.623211i \(-0.785828\pi\)
0.936360 0.351041i \(-0.114172\pi\)
\(440\) 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 −0.390162 0.920746i \(-0.627581\pi\)
0.996248 + 0.0865400i \(0.0275810\pi\)
\(444\) 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 −0.430970 0.902366i \(-0.641829\pi\)
0.181736 + 0.983347i \(0.441829\pi\)
\(450\) 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 −0.0331277 + 0.999451i \(0.510547\pi\)
−0.789101 + 0.614264i \(0.789453\pi\)
\(458\) −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 0.487738 0.872990i \(-0.337822\pi\)
−0.679543 + 0.733636i \(0.737822\pi\)
\(462\) −10.0127 + 1.58585i −0.465832 + 0.0737805i
\(463\) −0.451109 + 2.84819i −0.0209648 + 0.132367i −0.995951 0.0898996i \(-0.971345\pi\)
0.974986 + 0.222266i \(0.0713454\pi\)
\(464\) 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 −0.233235 0.972420i \(-0.574931\pi\)
0.760266 0.649612i \(-0.225069\pi\)
\(468\) 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 −0.338530 0.940956i \(-0.609930\pi\)
−0.960232 + 0.279203i \(0.909930\pi\)
\(480\) 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 0.978046 0.208391i \(-0.0668227\pi\)
−0.500424 + 0.865780i \(0.666823\pi\)
\(488\) 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 0.989506 + 0.144493i \(0.0461551\pi\)
−0.464720 + 0.885458i \(0.653845\pi\)
\(500\) −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 −0.548086 0.836422i \(-0.684643\pi\)
−0.262792 + 0.964853i \(0.584643\pi\)
\(504\) 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 −0.964657 0.263508i \(-0.915121\pi\)
0.836015 0.548706i \(-0.184879\pi\)
\(510\) −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 0.943278 + 0.332005i \(0.107725\pi\)
−0.999706 + 0.0242662i \(0.992275\pi\)
\(522\) 7.61549 1.20617i 0.333321 0.0527928i
\(523\) −27.7382 20.1530i −1.21291 0.881229i −0.217416 0.976079i \(-0.569763\pi\)
−0.995492 + 0.0948499i \(0.969763\pi\)
\(524\) 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 −0.798338 0.602209i \(-0.794287\pi\)
0.819435 + 0.573172i \(0.194287\pi\)
\(542\) 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 0.999427 0.0338377i \(-0.0107729\pi\)
−0.0338377 + 0.999427i \(0.510773\pi\)
\(548\) −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 0.889951 + 0.456055i \(0.150738\pi\)
−0.705465 + 0.708744i \(0.749262\pi\)
\(558\) −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 −0.737005 0.675887i \(-0.763761\pi\)
−0.492073 + 0.870554i \(0.663761\pi\)
\(564\) −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 −0.999812 0.0193726i \(-0.993833\pi\)
0.290535 0.956864i \(-0.406167\pi\)
\(570\) −10.9157 + 7.93071i −0.457208 + 0.332181i
\(571\) −19.3493 + 19.3493i −0.809742 + 0.809742i −0.984595 0.174853i \(-0.944055\pi\)
0.174853 + 0.984595i \(0.444055\pi\)
\(572\) 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 −0.561171 0.827700i \(-0.689649\pi\)
0.827700 + 0.561171i \(0.189649\pi\)
\(578\) 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 0.356003 0.934485i \(-0.384139\pi\)
−0.546760 + 0.837289i \(0.684139\pi\)
\(588\) −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 −0.826737 0.562588i \(-0.809806\pi\)
−0.0308006 + 0.999526i \(0.509806\pi\)
\(594\) 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 0.546998 + 0.837134i \(0.315771\pi\)
−0.934586 + 0.355739i \(0.884229\pi\)
\(600\) 31.2963 + 4.95685i 1.27767 + 0.202363i
\(601\) 5.21941 + 5.21941i 0.212904 + 0.212904i 0.805500 0.592596i \(-0.201897\pi\)
−0.592596 + 0.805500i \(0.701897\pi\)
\(602\) 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 −0.249636 0.968340i \(-0.580311\pi\)
0.998088 0.0618155i \(-0.0196890\pi\)
\(608\) −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 0.0498354 0.998757i \(-0.484130\pi\)
0.627373 + 0.778719i \(0.284130\pi\)
\(614\) 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 −0.458970 0.888452i \(-0.651781\pi\)
0.150905 + 0.988548i \(0.451781\pi\)
\(618\) 12.0818 12.0818i 0.486000 0.486000i
\(619\) −5.14200 + 3.73588i −0.206675 + 0.150158i −0.686308 0.727311i \(-0.740770\pi\)
0.479633 + 0.877469i \(0.340770\pi\)
\(620\) −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 −0.922023 0.387135i \(-0.873465\pi\)
0.973485 + 0.228753i \(0.0734647\pi\)
\(632\) −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 0.526819 0.849978i \(-0.323385\pi\)
0.238377 + 0.971173i \(0.423385\pi\)
\(642\) −34.8236 34.8236i −1.37438 1.37438i
\(643\) −9.90543 5.04707i −0.390632 0.199037i 0.247633 0.968854i \(-0.420347\pi\)
−0.638265 + 0.769817i \(0.720347\pi\)
\(644\) 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 \(0.0657704\pi\)
−0.978729 + 0.205157i \(0.934230\pi\)
\(648\) 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 −0.227075 0.973877i \(-0.572916\pi\)
0.973877 + 0.227075i \(0.0729163\pi\)
\(654\) 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 −0.886230 0.463246i \(-0.846685\pi\)
0.463246 + 0.886230i \(0.346685\pi\)
\(660\) −0.173644 + 0.126160i −0.00675910 + 0.00491077i
\(661\) 0.199484 + 0.274566i 0.00775902 + 0.0106794i 0.812879 0.582433i \(-0.197899\pi\)
−0.805120 + 0.593112i \(0.797899\pi\)
\(662\) 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 0.996239 + 0.0866442i \(0.0276143\pi\)
−0.920705 + 0.390258i \(0.872386\pi\)
\(674\) 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 −0.278968 0.960300i \(-0.589992\pi\)
−0.790140 + 0.612926i \(0.789992\pi\)
\(678\) 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 0.950559 0.310545i \(-0.100512\pi\)
−0.310545 + 0.950559i \(0.600512\pi\)
\(684\) −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 −0.989104 0.147220i \(-0.952967\pi\)
0.700484 + 0.713668i \(0.252967\pi\)
\(692\) 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 −0.980414 0.196948i \(-0.936897\pi\)
−0.115656 + 0.993289i \(0.536897\pi\)
\(702\) 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 −0.871524 0.490352i \(-0.836868\pi\)
0.980396 0.197037i \(-0.0631319\pi\)
\(710\) −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 −0.873266 0.487244i \(-0.838002\pi\)
−0.119104 + 0.992882i \(0.538002\pi\)
\(720\) −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 −0.0622267 0.998062i \(-0.519820\pi\)
0.249237 + 0.968443i \(0.419820\pi\)
\(728\) −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 0.540706 0.841212i \(-0.318157\pi\)
−0.967127 + 0.254293i \(0.918157\pi\)
\(734\) −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 0.993219 0.116261i \(-0.0370908\pi\)
−0.417492 + 0.908681i \(0.637091\pi\)
\(744\) −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 0.130388 0.991463i \(-0.458378\pi\)
−0.725470 + 0.688254i \(0.758378\pi\)
\(752\) −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 −0.139993 0.990153i \(-0.544708\pi\)
0.718765 + 0.695254i \(0.244708\pi\)
\(758\) −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 0.980807 0.194980i \(-0.0624642\pi\)
−0.908096 + 0.418762i \(0.862464\pi\)
\(762\) −6.21714 39.2535i −0.225223 1.42200i
\(763\) −2.50068 + 7.69632i −0.0905309 + 0.278625i
\(764\)