Properties

Label 135.2.q.a.32.4
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.4
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.162710 + 1.85978i) q^{2} +(0.207283 - 1.71960i) q^{3} +(-1.46269 - 0.257912i) q^{4} +(1.63097 - 1.52968i) q^{5} +(3.16436 + 0.665296i) q^{6} +(1.79546 - 2.56418i) q^{7} +(-0.248717 + 0.928224i) q^{8} +(-2.91407 - 0.712888i) q^{9} +O(q^{10})\) \(q+(-0.162710 + 1.85978i) q^{2} +(0.207283 - 1.71960i) q^{3} +(-1.46269 - 0.257912i) q^{4} +(1.63097 - 1.52968i) q^{5} +(3.16436 + 0.665296i) q^{6} +(1.79546 - 2.56418i) q^{7} +(-0.248717 + 0.928224i) q^{8} +(-2.91407 - 0.712888i) q^{9} +(2.57950 + 3.28215i) q^{10} +(-1.21790 + 3.34616i) q^{11} +(-0.746697 + 2.46179i) q^{12} +(1.89596 - 0.165875i) q^{13} +(4.47667 + 3.75637i) q^{14} +(-2.29237 - 3.12170i) q^{15} +(-4.47719 - 1.62956i) q^{16} +(0.886863 + 3.30982i) q^{17} +(1.79996 - 5.30353i) q^{18} +(-5.00990 + 2.89247i) q^{19} +(-2.78013 + 1.81680i) q^{20} +(-4.03720 - 3.61898i) q^{21} +(-6.02495 - 2.80948i) q^{22} +(1.06979 - 0.749079i) q^{23} +(1.54462 + 0.620099i) q^{24} +(0.320150 - 4.98974i) q^{25} +3.55306i q^{26} +(-1.82992 + 4.86327i) q^{27} +(-3.28753 + 3.28753i) q^{28} +(-0.0144398 + 0.0121164i) q^{29} +(6.17867 - 3.75538i) q^{30} +(0.260357 - 1.47656i) q^{31} +(2.94687 - 6.31958i) q^{32} +(5.50161 + 2.78791i) q^{33} +(-6.29984 + 1.11083i) q^{34} +(-0.994032 - 6.92858i) q^{35} +(4.07852 + 1.79431i) q^{36} +(9.77656 - 2.61962i) q^{37} +(-4.56420 - 9.78795i) q^{38} +(0.107761 - 3.29468i) q^{39} +(1.01424 + 1.89437i) q^{40} +(-6.39065 + 7.61608i) q^{41} +(7.38740 - 6.91946i) q^{42} +(-6.93786 + 3.23518i) q^{43} +(2.64443 - 4.58028i) q^{44} +(-5.84326 + 3.29489i) q^{45} +(1.21906 + 2.11147i) q^{46} +(-9.02466 - 6.31914i) q^{47} +(-3.73025 + 7.36121i) q^{48} +(-0.957202 - 2.62989i) q^{49} +(9.22773 + 1.40729i) q^{50} +(5.87541 - 0.838984i) q^{51} +(-2.81599 - 0.246367i) q^{52} +(-3.54041 - 3.54041i) q^{53} +(-8.74687 - 4.19455i) q^{54} +(3.13219 + 7.32049i) q^{55} +(1.93357 + 2.30434i) q^{56} +(3.93543 + 9.21460i) q^{57} +(-0.0201844 - 0.0288263i) q^{58} +(5.27046 - 1.91829i) q^{59} +(2.54791 + 5.15732i) q^{60} +(1.47697 + 8.37633i) q^{61} +(2.70371 + 0.724458i) q^{62} +(-7.06005 + 6.19223i) q^{63} +(3.02114 + 1.74425i) q^{64} +(2.83853 - 3.17075i) q^{65} +(-6.08006 + 9.77816i) q^{66} +(0.0194833 + 0.222695i) q^{67} +(-0.443565 - 5.06998i) q^{68} +(-1.06637 - 1.99489i) q^{69} +(13.0474 - 0.721334i) q^{70} +(-0.428964 - 0.247662i) q^{71} +(1.38650 - 2.52760i) q^{72} +(7.75123 + 2.07694i) q^{73} +(3.28118 + 18.6085i) q^{74} +(-8.51401 - 1.58482i) q^{75} +(8.07394 - 2.93867i) q^{76} +(6.39345 + 9.13079i) q^{77} +(6.10985 + 0.736488i) q^{78} +(-1.13950 - 1.35801i) q^{79} +(-9.79489 + 4.19090i) q^{80} +(7.98358 + 4.15481i) q^{81} +(-13.1244 - 13.1244i) q^{82} +(-7.35695 - 0.643650i) q^{83} +(4.97180 + 6.33469i) q^{84} +(6.50942 + 4.04161i) q^{85} +(-4.88786 - 13.4293i) q^{86} +(0.0178423 + 0.0273422i) q^{87} +(-2.80307 - 1.96273i) q^{88} +(-4.43260 - 7.67748i) q^{89} +(-5.17702 - 11.4033i) q^{90} +(2.97878 - 5.15940i) q^{91} +(-1.75798 + 0.819758i) q^{92} +(-2.48513 - 0.753777i) q^{93} +(13.2206 - 15.7557i) q^{94} +(-3.74646 + 12.3811i) q^{95} +(-10.2563 - 6.37738i) q^{96} +(3.23451 + 6.93643i) q^{97} +(5.04676 - 1.35228i) q^{98} +(5.93448 - 8.88270i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.162710 + 1.85978i −0.115053 + 1.31506i 0.690842 + 0.723005i \(0.257240\pi\)
−0.805896 + 0.592058i \(0.798316\pi\)
\(3\) 0.207283 1.71960i 0.119675 0.992813i
\(4\) −1.46269 0.257912i −0.731346 0.128956i
\(5\) 1.63097 1.52968i 0.729394 0.684094i
\(6\) 3.16436 + 0.665296i 1.29184 + 0.271606i
\(7\) 1.79546 2.56418i 0.678619 0.969168i −0.321136 0.947033i \(-0.604065\pi\)
0.999755 0.0221350i \(-0.00704638\pi\)
\(8\) −0.248717 + 0.928224i −0.0879347 + 0.328177i
\(9\) −2.91407 0.712888i −0.971356 0.237629i
\(10\) 2.57950 + 3.28215i 0.815708 + 1.03791i
\(11\) −1.21790 + 3.34616i −0.367211 + 1.00890i 0.609206 + 0.793012i \(0.291488\pi\)
−0.976417 + 0.215892i \(0.930734\pi\)
\(12\) −0.746697 + 2.46179i −0.215553 + 0.710657i
\(13\) 1.89596 0.165875i 0.525845 0.0460055i 0.178857 0.983875i \(-0.442760\pi\)
0.346988 + 0.937870i \(0.387205\pi\)
\(14\) 4.47667 + 3.75637i 1.19644 + 1.00393i
\(15\) −2.29237 3.12170i −0.591888 0.806020i
\(16\) −4.47719 1.62956i −1.11930 0.407391i
\(17\) 0.886863 + 3.30982i 0.215096 + 0.802749i 0.986133 + 0.165958i \(0.0530718\pi\)
−0.771037 + 0.636791i \(0.780262\pi\)
\(18\) 1.79996 5.30353i 0.424255 1.25005i
\(19\) −5.00990 + 2.89247i −1.14935 + 0.663578i −0.948729 0.316091i \(-0.897629\pi\)
−0.200622 + 0.979669i \(0.564296\pi\)
\(20\) −2.78013 + 1.81680i −0.621657 + 0.406250i
\(21\) −4.03720 3.61898i −0.880989 0.789727i
\(22\) −6.02495 2.80948i −1.28452 0.598983i
\(23\) 1.06979 0.749079i 0.223068 0.156194i −0.456701 0.889620i \(-0.650969\pi\)
0.679769 + 0.733427i \(0.262080\pi\)
\(24\) 1.54462 + 0.620099i 0.315295 + 0.126577i
\(25\) 0.320150 4.98974i 0.0640300 0.997948i
\(26\) 3.55306i 0.696812i
\(27\) −1.82992 + 4.86327i −0.352168 + 0.935937i
\(28\) −3.28753 + 3.28753i −0.621285 + 0.621285i
\(29\) −0.0144398 + 0.0121164i −0.00268140 + 0.00224996i −0.644127 0.764918i \(-0.722779\pi\)
0.641446 + 0.767168i \(0.278335\pi\)
\(30\) 6.17867 3.75538i 1.12807 0.685635i
\(31\) 0.260357 1.47656i 0.0467616 0.265198i −0.952459 0.304666i \(-0.901455\pi\)
0.999221 + 0.0394679i \(0.0125663\pi\)
\(32\) 2.94687 6.31958i 0.520938 1.11715i
\(33\) 5.50161 + 2.78791i 0.957707 + 0.485312i
\(34\) −6.29984 + 1.11083i −1.08041 + 0.190506i
\(35\) −0.994032 6.92858i −0.168022 1.17114i
\(36\) 4.07852 + 1.79431i 0.679753 + 0.299051i
\(37\) 9.77656 2.61962i 1.60726 0.430663i 0.660033 0.751237i \(-0.270542\pi\)
0.947224 + 0.320574i \(0.103876\pi\)
\(38\) −4.56420 9.78795i −0.740410 1.58781i
\(39\) 0.107761 3.29468i 0.0172555 0.527571i
\(40\) 1.01424 + 1.89437i 0.160365 + 0.299526i
\(41\) −6.39065 + 7.61608i −0.998051 + 1.18943i −0.0161828 + 0.999869i \(0.505151\pi\)
−0.981869 + 0.189562i \(0.939293\pi\)
\(42\) 7.38740 6.91946i 1.13990 1.06770i
\(43\) −6.93786 + 3.23518i −1.05801 + 0.493360i −0.872162 0.489218i \(-0.837282\pi\)
−0.185852 + 0.982578i \(0.559505\pi\)
\(44\) 2.64443 4.58028i 0.398662 0.690503i
\(45\) −5.84326 + 3.29489i −0.871062 + 0.491174i
\(46\) 1.21906 + 2.11147i 0.179740 + 0.311319i
\(47\) −9.02466 6.31914i −1.31638 0.921741i −0.316741 0.948512i \(-0.602589\pi\)
−0.999642 + 0.0267711i \(0.991477\pi\)
\(48\) −3.73025 + 7.36121i −0.538415 + 1.06250i
\(49\) −0.957202 2.62989i −0.136743 0.375699i
\(50\) 9.22773 + 1.40729i 1.30500 + 0.199020i
\(51\) 5.87541 0.838984i 0.822721 0.117481i
\(52\) −2.81599 0.246367i −0.390507 0.0341649i
\(53\) −3.54041 3.54041i −0.486312 0.486312i 0.420828 0.907140i \(-0.361740\pi\)
−0.907140 + 0.420828i \(0.861740\pi\)
\(54\) −8.74687 4.19455i −1.19030 0.570806i
\(55\) 3.13219 + 7.32049i 0.422344 + 0.987095i
\(56\) 1.93357 + 2.30434i 0.258384 + 0.307930i
\(57\) 3.93543 + 9.21460i 0.521261 + 1.22050i
\(58\) −0.0201844 0.0288263i −0.00265034 0.00378507i
\(59\) 5.27046 1.91829i 0.686155 0.249740i 0.0246670 0.999696i \(-0.492147\pi\)
0.661488 + 0.749956i \(0.269925\pi\)
\(60\) 2.54791 + 5.15732i 0.328933 + 0.665807i
\(61\) 1.47697 + 8.37633i 0.189107 + 1.07248i 0.920564 + 0.390591i \(0.127729\pi\)
−0.731457 + 0.681887i \(0.761159\pi\)
\(62\) 2.70371 + 0.724458i 0.343372 + 0.0920063i
\(63\) −7.06005 + 6.19223i −0.889483 + 0.780147i
\(64\) 3.02114 + 1.74425i 0.377642 + 0.218032i
\(65\) 2.83853 3.17075i 0.352076 0.393284i
\(66\) −6.08006 + 9.77816i −0.748403 + 1.20361i
\(67\) 0.0194833 + 0.222695i 0.00238026 + 0.0272065i 0.997292 0.0735444i \(-0.0234311\pi\)
−0.994912 + 0.100751i \(0.967876\pi\)
\(68\) −0.443565 5.06998i −0.0537902 0.614825i
\(69\) −1.06637 1.99489i −0.128376 0.240157i
\(70\) 13.0474 0.721334i 1.55946 0.0862159i
\(71\) −0.428964 0.247662i −0.0509086 0.0293921i 0.474330 0.880347i \(-0.342690\pi\)
−0.525238 + 0.850955i \(0.676024\pi\)
\(72\) 1.38650 2.52760i 0.163400 0.297881i
\(73\) 7.75123 + 2.07694i 0.907213 + 0.243087i 0.682111 0.731248i \(-0.261062\pi\)
0.225102 + 0.974335i \(0.427729\pi\)
\(74\) 3.28118 + 18.6085i 0.381429 + 2.16319i
\(75\) −8.51401 1.58482i −0.983113 0.182999i
\(76\) 8.07394 2.93867i 0.926145 0.337089i
\(77\) 6.39345 + 9.13079i 0.728601 + 1.04055i
\(78\) 6.10985 + 0.736488i 0.691804 + 0.0833908i
\(79\) −1.13950 1.35801i −0.128204 0.152788i 0.698124 0.715977i \(-0.254019\pi\)
−0.826328 + 0.563190i \(0.809574\pi\)
\(80\) −9.79489 + 4.19090i −1.09510 + 0.468557i
\(81\) 7.98358 + 4.15481i 0.887065 + 0.461645i
\(82\) −13.1244 13.1244i −1.44935 1.44935i
\(83\) −7.35695 0.643650i −0.807531 0.0706498i −0.324089 0.946027i \(-0.605058\pi\)
−0.483441 + 0.875377i \(0.660613\pi\)
\(84\) 4.97180 + 6.33469i 0.542468 + 0.691172i
\(85\) 6.50942 + 4.04161i 0.706046 + 0.438374i
\(86\) −4.88786 13.4293i −0.527072 1.44812i
\(87\) 0.0178423 + 0.0273422i 0.00191290 + 0.00293139i
\(88\) −2.80307 1.96273i −0.298808 0.209228i
\(89\) −4.43260 7.67748i −0.469854 0.813812i 0.529552 0.848278i \(-0.322360\pi\)
−0.999406 + 0.0344662i \(0.989027\pi\)
\(90\) −5.17702 11.4033i −0.545706 1.20201i
\(91\) 2.97878 5.15940i 0.312261 0.540852i
\(92\) −1.75798 + 0.819758i −0.183282 + 0.0854656i
\(93\) −2.48513 0.753777i −0.257696 0.0781630i
\(94\) 13.2206 15.7557i 1.36360 1.62508i
\(95\) −3.74646 + 12.3811i −0.384379 + 1.27027i
\(96\) −10.2563 6.37738i −1.04678 0.650889i
\(97\) 3.23451 + 6.93643i 0.328415 + 0.704288i 0.999305 0.0372686i \(-0.0118657\pi\)
−0.670890 + 0.741556i \(0.734088\pi\)
\(98\) 5.04676 1.35228i 0.509800 0.136601i
\(99\) 5.93448 8.88270i 0.596438 0.892745i
\(100\) −1.75519 + 7.21588i −0.175519 + 0.721588i
\(101\) 16.6975 2.94423i 1.66147 0.292961i 0.737475 0.675374i \(-0.236018\pi\)
0.923992 + 0.382413i \(0.124907\pi\)
\(102\) 0.604341 + 11.0635i 0.0598387 + 1.09545i
\(103\) 0.931271 1.99712i 0.0917609 0.196782i −0.855071 0.518511i \(-0.826486\pi\)
0.946832 + 0.321730i \(0.104264\pi\)
\(104\) −0.317588 + 1.80113i −0.0311421 + 0.176616i
\(105\) −12.1205 + 0.273166i −1.18284 + 0.0266582i
\(106\) 7.16044 6.00832i 0.695483 0.583579i
\(107\) 13.8021 13.8021i 1.33430 1.33430i 0.432826 0.901477i \(-0.357516\pi\)
0.901477 0.432826i \(-0.142484\pi\)
\(108\) 3.93090 6.64150i 0.378251 0.639079i
\(109\) 14.9196i 1.42903i −0.699618 0.714517i \(-0.746646\pi\)
0.699618 0.714517i \(-0.253354\pi\)
\(110\) −14.1241 + 4.63407i −1.34668 + 0.441841i
\(111\) −2.47820 17.3548i −0.235220 1.64724i
\(112\) −12.2171 + 8.55450i −1.15441 + 0.808324i
\(113\) −6.41164 2.98979i −0.603156 0.281256i 0.0969568 0.995289i \(-0.469089\pi\)
−0.700113 + 0.714032i \(0.746867\pi\)
\(114\) −17.7775 + 5.81973i −1.66501 + 0.545068i
\(115\) 0.598956 2.85817i 0.0558529 0.266526i
\(116\) 0.0242459 0.0139984i 0.00225118 0.00129972i
\(117\) −5.64321 0.868236i −0.521715 0.0802685i
\(118\) 2.71004 + 10.1140i 0.249480 + 0.931070i
\(119\) 10.0793 + 3.66856i 0.923967 + 0.336296i
\(120\) 3.46779 1.35141i 0.316565 0.123367i
\(121\) −1.28699 1.07991i −0.116999 0.0981738i
\(122\) −15.8184 + 1.38393i −1.43213 + 0.125296i
\(123\) 11.7720 + 12.5681i 1.06144 + 1.13322i
\(124\) −0.761645 + 2.09260i −0.0683978 + 0.187921i
\(125\) −7.11056 8.62786i −0.635987 0.771699i
\(126\) −10.3674 14.1377i −0.923605 1.25948i
\(127\) 0.370667 1.38335i 0.0328914 0.122752i −0.947528 0.319672i \(-0.896427\pi\)
0.980420 + 0.196920i \(0.0630939\pi\)
\(128\) 4.26347 6.08886i 0.376841 0.538184i
\(129\) 4.12512 + 12.6010i 0.363197 + 1.10945i
\(130\) 5.43505 + 5.79495i 0.476685 + 0.508250i
\(131\) −5.99175 1.05651i −0.523502 0.0923075i −0.0943485 0.995539i \(-0.530077\pi\)
−0.429153 + 0.903232i \(0.641188\pi\)
\(132\) −7.32812 5.49678i −0.637831 0.478433i
\(133\) −1.57826 + 18.0396i −0.136852 + 1.56423i
\(134\) −0.417333 −0.0360521
\(135\) 4.45470 + 10.7311i 0.383400 + 0.923583i
\(136\) −3.29283 −0.282358
\(137\) 0.0905225 1.03468i 0.00773386 0.0883984i −0.991347 0.131269i \(-0.958095\pi\)
0.999081 + 0.0428707i \(0.0136504\pi\)
\(138\) 3.88357 1.65862i 0.330592 0.141191i
\(139\) 18.7473 + 3.30565i 1.59012 + 0.280381i 0.897532 0.440950i \(-0.145358\pi\)
0.692590 + 0.721331i \(0.256469\pi\)
\(140\) −0.333001 + 10.3907i −0.0281438 + 0.878179i
\(141\) −12.7371 + 14.2090i −1.07265 + 1.19661i
\(142\) 0.530394 0.757481i 0.0445097 0.0635664i
\(143\) −1.75405 + 6.54620i −0.146681 + 0.547421i
\(144\) 11.8851 + 7.94040i 0.990428 + 0.661700i
\(145\) −0.00501665 + 0.0418498i −0.000416610 + 0.00347544i
\(146\) −5.12385 + 14.0777i −0.424052 + 1.16507i
\(147\) −4.72078 + 1.10088i −0.389363 + 0.0907988i
\(148\) −14.9757 + 1.31021i −1.23100 + 0.107698i
\(149\) −2.25551 1.89260i −0.184779 0.155048i 0.545706 0.837977i \(-0.316261\pi\)
−0.730485 + 0.682929i \(0.760706\pi\)
\(150\) 4.33272 15.5763i 0.353765 1.27180i
\(151\) −16.5766 6.03340i −1.34899 0.490992i −0.436356 0.899774i \(-0.643731\pi\)
−0.912632 + 0.408782i \(0.865953\pi\)
\(152\) −1.43881 5.36972i −0.116703 0.435542i
\(153\) −0.224850 10.2773i −0.0181781 0.830868i
\(154\) −18.0215 + 10.4047i −1.45222 + 0.838438i
\(155\) −1.83403 2.80650i −0.147313 0.225423i
\(156\) −1.00736 + 4.79131i −0.0806532 + 0.383612i
\(157\) 7.82751 + 3.65003i 0.624703 + 0.291304i 0.709078 0.705130i \(-0.249111\pi\)
−0.0843747 + 0.996434i \(0.526889\pi\)
\(158\) 2.71100 1.89826i 0.215676 0.151018i
\(159\) −6.82196 + 5.35423i −0.541016 + 0.424618i
\(160\) −4.86068 14.8148i −0.384270 1.17122i
\(161\) 4.08808i 0.322186i
\(162\) −9.02603 + 14.1717i −0.709152 + 1.11343i
\(163\) 7.31819 7.31819i 0.573205 0.573205i −0.359818 0.933023i \(-0.617161\pi\)
0.933023 + 0.359818i \(0.117161\pi\)
\(164\) 11.3118 9.49174i 0.883305 0.741181i
\(165\) 13.2376 3.86871i 1.03054 0.301178i
\(166\) 2.39409 13.5776i 0.185818 1.05382i
\(167\) −2.98173 + 6.39434i −0.230733 + 0.494809i −0.987252 0.159163i \(-0.949121\pi\)
0.756519 + 0.653971i \(0.226898\pi\)
\(168\) 4.36335 2.84732i 0.336639 0.219676i
\(169\) −9.23535 + 1.62844i −0.710411 + 0.125265i
\(170\) −8.57565 + 11.4485i −0.657722 + 0.878058i
\(171\) 16.6612 4.85735i 1.27411 0.371451i
\(172\) 10.9823 2.94271i 0.837396 0.224379i
\(173\) 1.56841 + 3.36346i 0.119244 + 0.255719i 0.956865 0.290532i \(-0.0938323\pi\)
−0.837622 + 0.546251i \(0.816055\pi\)
\(174\) −0.0537536 + 0.0287339i −0.00407505 + 0.00217831i
\(175\) −12.2198 9.77978i −0.923727 0.739282i
\(176\) 10.9056 12.9967i 0.822037 0.979666i
\(177\) −2.20622 9.46072i −0.165830 0.711111i
\(178\) 14.9997 6.99445i 1.12427 0.524256i
\(179\) −2.76656 + 4.79182i −0.206782 + 0.358157i −0.950699 0.310115i \(-0.899632\pi\)
0.743917 + 0.668272i \(0.232966\pi\)
\(180\) 9.39668 3.31237i 0.700387 0.246889i
\(181\) 7.47188 + 12.9417i 0.555381 + 0.961948i 0.997874 + 0.0651757i \(0.0207608\pi\)
−0.442493 + 0.896772i \(0.645906\pi\)
\(182\) 9.11067 + 6.37936i 0.675328 + 0.472870i
\(183\) 14.7101 0.803538i 1.08740 0.0593993i
\(184\) 0.429237 + 1.17932i 0.0316437 + 0.0869405i
\(185\) 11.9381 19.2276i 0.877708 1.41364i
\(186\) 1.80621 4.49915i 0.132438 0.329894i
\(187\) −12.1553 1.06345i −0.888882 0.0777671i
\(188\) 11.5705 + 11.5705i 0.843867 + 0.843867i
\(189\) 9.18475 + 13.4240i 0.668092 + 0.976454i
\(190\) −22.4165 8.98212i −1.62627 0.651632i
\(191\) −1.79674 2.14127i −0.130008 0.154937i 0.697113 0.716961i \(-0.254467\pi\)
−0.827121 + 0.562024i \(0.810023\pi\)
\(192\) 3.62565 4.83360i 0.261659 0.348835i
\(193\) −6.82607 9.74863i −0.491351 0.701722i 0.494532 0.869160i \(-0.335340\pi\)
−0.985883 + 0.167438i \(0.946451\pi\)
\(194\) −13.4265 + 4.88685i −0.963968 + 0.350856i
\(195\) −4.86406 5.53838i −0.348323 0.396612i
\(196\) 0.721811 + 4.09359i 0.0515579 + 0.292399i
\(197\) 18.9450 + 5.07629i 1.34977 + 0.361671i 0.860051 0.510208i \(-0.170432\pi\)
0.489722 + 0.871879i \(0.337098\pi\)
\(198\) 15.5543 + 12.4821i 1.10539 + 0.887066i
\(199\) −10.1682 5.87060i −0.720802 0.416156i 0.0942455 0.995549i \(-0.469956\pi\)
−0.815048 + 0.579393i \(0.803289\pi\)
\(200\) 4.55197 + 1.53820i 0.321873 + 0.108767i
\(201\) 0.386985 + 0.0126573i 0.0272958 + 0.000892776i
\(202\) 2.75876 + 31.5328i 0.194106 + 2.21864i
\(203\) 0.00514264 + 0.0587806i 0.000360943 + 0.00412559i
\(204\) −8.81029 0.288162i −0.616844 0.0201754i
\(205\) 1.22719 + 22.1973i 0.0857109 + 1.55032i
\(206\) 3.56267 + 2.05691i 0.248223 + 0.143312i
\(207\) −3.65146 + 1.42022i −0.253794 + 0.0987122i
\(208\) −8.75888 2.34694i −0.607319 0.162731i
\(209\) −3.57709 20.2867i −0.247432 1.40326i
\(210\) 1.46409 22.5858i 0.101032 1.55857i
\(211\) −5.77638 + 2.10243i −0.397662 + 0.144737i −0.533107 0.846048i \(-0.678976\pi\)
0.135445 + 0.990785i \(0.456754\pi\)
\(212\) 4.26541 + 6.09163i 0.292949 + 0.418375i
\(213\) −0.514798 + 0.686311i −0.0352734 + 0.0470253i
\(214\) 23.4232 + 27.9147i 1.60118 + 1.90821i
\(215\) −6.36668 + 15.8892i −0.434204 + 1.08364i
\(216\) −4.05907 2.90815i −0.276185 0.197875i
\(217\) −3.31870 3.31870i −0.225288 0.225288i
\(218\) 27.7471 + 2.42756i 1.87927 + 0.164415i
\(219\) 5.17820 12.8985i 0.349911 0.871602i
\(220\) −2.69338 11.5154i −0.181588 0.776371i
\(221\) 2.23047 + 6.12818i 0.150038 + 0.412226i
\(222\) 32.6793 1.78511i 2.19329 0.119808i
\(223\) −7.89767 5.53001i −0.528867 0.370317i 0.278435 0.960455i \(-0.410184\pi\)
−0.807302 + 0.590138i \(0.799073\pi\)
\(224\) −10.9135 18.9028i −0.729192 1.26300i
\(225\) −4.49006 + 14.3122i −0.299338 + 0.954147i
\(226\) 6.60360 11.4378i 0.439265 0.760829i
\(227\) −0.828704 + 0.386431i −0.0550030 + 0.0256483i −0.449925 0.893066i \(-0.648549\pi\)
0.394922 + 0.918715i \(0.370772\pi\)
\(228\) −3.37976 14.4931i −0.223830 0.959830i
\(229\) −3.03966 + 3.62252i −0.200866 + 0.239383i −0.857069 0.515201i \(-0.827717\pi\)
0.656203 + 0.754585i \(0.272162\pi\)
\(230\) 5.21812 + 1.57898i 0.344072 + 0.104115i
\(231\) 17.0266 9.10154i 1.12027 0.598837i
\(232\) −0.00765533 0.0164169i −0.000502597 0.00107782i
\(233\) −3.91060 + 1.04784i −0.256192 + 0.0686464i −0.384629 0.923071i \(-0.625671\pi\)
0.128437 + 0.991718i \(0.459004\pi\)
\(234\) 2.53293 10.3539i 0.165583 0.676853i
\(235\) −24.3853 + 3.49851i −1.59072 + 0.228218i
\(236\) −8.20380 + 1.44655i −0.534022 + 0.0941625i
\(237\) −2.57143 + 1.67800i −0.167032 + 0.108998i
\(238\) −8.46271 + 18.1483i −0.548556 + 1.17638i
\(239\) −2.52463 + 14.3179i −0.163305 + 0.926146i 0.787491 + 0.616327i \(0.211380\pi\)
−0.950795 + 0.309820i \(0.899731\pi\)
\(240\) 5.17637 + 17.7120i 0.334133 + 1.14331i
\(241\) −12.3103 + 10.3295i −0.792974 + 0.665384i −0.946480 0.322764i \(-0.895388\pi\)
0.153506 + 0.988148i \(0.450944\pi\)
\(242\) 2.21780 2.21780i 0.142566 0.142566i
\(243\) 8.79948 12.8674i 0.564487 0.825442i
\(244\) 12.6329i 0.808739i
\(245\) −5.58407 2.82507i −0.356753 0.180487i
\(246\) −25.2892 + 19.8483i −1.61238 + 1.26548i
\(247\) −9.01879 + 6.31502i −0.573852 + 0.401815i
\(248\) 1.30582 + 0.608915i 0.0829199 + 0.0386662i
\(249\) −2.63179 + 12.5176i −0.166783 + 0.793272i
\(250\) 17.2029 11.8202i 1.08801 0.747577i
\(251\) 5.03670 2.90794i 0.317914 0.183547i −0.332549 0.943086i \(-0.607909\pi\)
0.650462 + 0.759539i \(0.274575\pi\)
\(252\) 11.9237 7.23645i 0.751124 0.455853i
\(253\) 1.20363 + 4.49200i 0.0756715 + 0.282410i
\(254\) 2.51241 + 0.914443i 0.157643 + 0.0573773i
\(255\) 8.29925 10.3559i 0.519719 0.648509i
\(256\) 15.9749 + 13.4046i 0.998434 + 0.837785i
\(257\) −10.8182 + 0.946469i −0.674820 + 0.0590391i −0.419414 0.907795i \(-0.637765\pi\)
−0.255406 + 0.966834i \(0.582209\pi\)
\(258\) −24.1062 + 5.62152i −1.50079 + 0.349981i
\(259\) 10.8362 29.7722i 0.673329 1.84996i
\(260\) −4.96966 + 3.90574i −0.308205 + 0.242224i
\(261\) 0.0507161 0.0250141i 0.00313925 0.00154833i
\(262\) 2.93979 10.9714i 0.181621 0.677817i
\(263\) −7.24249 + 10.3433i −0.446591 + 0.637798i −0.977824 0.209428i \(-0.932840\pi\)
0.531233 + 0.847226i \(0.321729\pi\)
\(264\) −3.95614 + 4.41333i −0.243484 + 0.271621i
\(265\) −11.1900 0.358616i −0.687396 0.0220296i
\(266\) −33.2929 5.87043i −2.04132 0.359939i
\(267\) −14.1210 + 6.03090i −0.864193 + 0.369085i
\(268\) 0.0289376 0.330759i 0.00176765 0.0202043i
\(269\) 0.247995 0.0151205 0.00756025 0.999971i \(-0.497593\pi\)
0.00756025 + 0.999971i \(0.497593\pi\)
\(270\) −20.6822 + 6.53872i −1.25868 + 0.397934i
\(271\) 10.3307 0.627548 0.313774 0.949498i \(-0.398407\pi\)
0.313774 + 0.949498i \(0.398407\pi\)
\(272\) 1.42291 16.2639i 0.0862764 0.986143i
\(273\) −8.25467 6.19178i −0.499595 0.374743i
\(274\) 1.90954 + 0.336704i 0.115360 + 0.0203410i
\(275\) 16.3065 + 7.14828i 0.983321 + 0.431058i
\(276\) 1.04526 + 3.19294i 0.0629172 + 0.192193i
\(277\) 8.26002 11.7965i 0.496297 0.708785i −0.490375 0.871512i \(-0.663140\pi\)
0.986671 + 0.162727i \(0.0520289\pi\)
\(278\) −9.19814 + 34.3279i −0.551668 + 2.05885i
\(279\) −1.81132 + 4.11719i −0.108441 + 0.246490i
\(280\) 6.67851 + 0.800570i 0.399117 + 0.0478432i
\(281\) 3.43244 9.43056i 0.204762 0.562580i −0.794223 0.607627i \(-0.792122\pi\)
0.998985 + 0.0450472i \(0.0143438\pi\)
\(282\) −24.3531 26.0001i −1.45021 1.54828i
\(283\) −21.5718 + 1.88728i −1.28231 + 0.112187i −0.707860 0.706353i \(-0.750339\pi\)
−0.574449 + 0.818541i \(0.694783\pi\)
\(284\) 0.563566 + 0.472888i 0.0334415 + 0.0280608i
\(285\) 20.5140 + 9.00882i 1.21514 + 0.533636i
\(286\) −11.8891 4.32727i −0.703017 0.255877i
\(287\) 8.05485 + 30.0611i 0.475462 + 1.77445i
\(288\) −13.0925 + 16.3149i −0.771484 + 0.961364i
\(289\) 4.55406 2.62929i 0.267886 0.154664i
\(290\) −0.0770152 0.0161392i −0.00452249 0.000947728i
\(291\) 12.5984 4.12427i 0.738529 0.241769i
\(292\) −10.8020 5.03705i −0.632139 0.294771i
\(293\) −11.7339 + 8.21615i −0.685500 + 0.479992i −0.863703 0.504001i \(-0.831861\pi\)
0.178203 + 0.983994i \(0.442972\pi\)
\(294\) −1.27927 8.95873i −0.0746086 0.522484i
\(295\) 5.66160 11.1908i 0.329631 0.651554i
\(296\) 9.72638i 0.565334i
\(297\) −14.0446 12.0462i −0.814950 0.698990i
\(298\) 3.88681 3.88681i 0.225157 0.225157i
\(299\) 1.90404 1.59768i 0.110113 0.0923960i
\(300\) 12.0446 + 4.51396i 0.695397 + 0.260614i
\(301\) −4.16106 + 23.5985i −0.239839 + 1.36020i
\(302\) 13.9180 29.8472i 0.800890 1.71751i
\(303\) −1.60179 29.3234i −0.0920204 1.68459i
\(304\) 27.1438 4.78618i 1.55680 0.274506i
\(305\) 15.2220 + 11.4023i 0.871610 + 0.652892i
\(306\) 19.1500 + 1.25404i 1.09474 + 0.0716887i
\(307\) 11.2937 3.02613i 0.644564 0.172710i 0.0782941 0.996930i \(-0.475053\pi\)
0.566270 + 0.824220i \(0.308386\pi\)
\(308\) −6.99670 15.0045i −0.398674 0.854959i
\(309\) −3.24121 2.01538i −0.184386 0.114651i
\(310\) 5.51788 2.95425i 0.313394 0.167790i
\(311\) 16.3947 19.5384i 0.929657 1.10792i −0.0642755 0.997932i \(-0.520474\pi\)
0.993933 0.109990i \(-0.0350819\pi\)
\(312\) 3.03140 + 0.919469i 0.171619 + 0.0520547i
\(313\) 27.0049 12.5926i 1.52641 0.711775i 0.535276 0.844677i \(-0.320207\pi\)
0.991129 + 0.132902i \(0.0424297\pi\)
\(314\) −8.06186 + 13.9635i −0.454957 + 0.788008i
\(315\) −2.04262 + 20.8990i −0.115089 + 1.17752i
\(316\) 1.31649 + 2.28023i 0.0740586 + 0.128273i
\(317\) −20.6398 14.4521i −1.15925 0.811713i −0.174321 0.984689i \(-0.555773\pi\)
−0.984926 + 0.172976i \(0.944662\pi\)
\(318\) −8.84769 13.5585i −0.496154 0.760324i
\(319\) −0.0229572 0.0630743i −0.00128536 0.00353148i
\(320\) 7.59555 1.77654i 0.424604 0.0993118i
\(321\) −20.8733 26.5952i −1.16503 1.48440i
\(322\) 7.60293 + 0.665170i 0.423695 + 0.0370685i
\(323\) −14.0166 14.0166i −0.779907 0.779907i
\(324\) −10.6059 8.13626i −0.589219 0.452014i
\(325\) −0.220682 9.51346i −0.0122412 0.527712i
\(326\) 12.4195 + 14.8010i 0.687852 + 0.819750i
\(327\) −25.6557 3.09257i −1.41876 0.171019i
\(328\) −5.47996 7.82620i −0.302580 0.432130i
\(329\) −32.4068 + 11.7951i −1.78664 + 0.650285i
\(330\) 5.04106 + 25.2485i 0.277501 + 1.38988i
\(331\) 4.41876 + 25.0600i 0.242877 + 1.37742i 0.825372 + 0.564589i \(0.190965\pi\)
−0.582495 + 0.812834i \(0.697924\pi\)
\(332\) 10.5949 + 2.83891i 0.581473 + 0.155805i
\(333\) −30.3571 + 0.664163i −1.66356 + 0.0363959i
\(334\) −11.4069 6.58578i −0.624158 0.360358i
\(335\) 0.372429 + 0.333406i 0.0203479 + 0.0182159i
\(336\) 12.1780 + 22.7817i 0.664362 + 1.24285i
\(337\) −1.37458 15.7115i −0.0748780 0.855859i −0.937039 0.349225i \(-0.886445\pi\)
0.862161 0.506634i \(-0.169111\pi\)
\(338\) −1.52586 17.4407i −0.0829959 0.948648i
\(339\) −6.47028 + 10.4057i −0.351417 + 0.565162i
\(340\) −8.47889 7.59048i −0.459832 0.411652i
\(341\) 4.62371 + 2.66950i 0.250388 + 0.144562i
\(342\) 6.32266 + 31.7765i 0.341891 + 1.71828i
\(343\) 12.7032 + 3.40382i 0.685910 + 0.183789i
\(344\) −1.27741 7.24453i −0.0688731 0.390599i
\(345\) −4.79077 1.62242i −0.257926 0.0873480i
\(346\) −6.51048 + 2.36962i −0.350006 + 0.127392i
\(347\) −6.38852 9.12375i −0.342954 0.489788i 0.610212 0.792238i \(-0.291084\pi\)
−0.953165 + 0.302450i \(0.902195\pi\)
\(348\) −0.0190459 0.0445949i −0.00102097 0.00239054i
\(349\) 0.156572 + 0.186596i 0.00838112 + 0.00998823i 0.770219 0.637780i \(-0.220147\pi\)
−0.761838 + 0.647768i \(0.775703\pi\)
\(350\) 20.1765 21.1348i 1.07848 1.12970i
\(351\) −2.66276 + 9.52411i −0.142128 + 0.508359i
\(352\) 17.5573 + 17.5573i 0.935807 + 0.935807i
\(353\) −14.0660 1.23061i −0.748656 0.0654989i −0.293559 0.955941i \(-0.594840\pi\)
−0.455097 + 0.890442i \(0.650395\pi\)
\(354\) 17.9538 2.56374i 0.954235 0.136261i
\(355\) −1.07847 + 0.252247i −0.0572394 + 0.0133879i
\(356\) 4.50341 + 12.3730i 0.238680 + 0.655768i
\(357\) 8.39773 16.5719i 0.444455 0.877080i
\(358\) −8.46158 5.92486i −0.447208 0.313139i
\(359\) 0.501469 + 0.868570i 0.0264665 + 0.0458414i 0.878955 0.476904i \(-0.158241\pi\)
−0.852489 + 0.522746i \(0.824908\pi\)
\(360\) −1.60508 6.24335i −0.0845953 0.329053i
\(361\) 7.23275 12.5275i 0.380671 0.659341i
\(362\) −25.2844 + 11.7903i −1.32892 + 0.619686i
\(363\) −2.12379 + 1.98926i −0.111470 + 0.104409i
\(364\) −5.68771 + 6.77835i −0.298117 + 0.355282i
\(365\) 15.8191 8.46949i 0.828010 0.443313i
\(366\) −0.899072 + 27.4883i −0.0469952 + 1.43684i
\(367\) −6.15484 13.1991i −0.321280 0.688987i 0.677643 0.735391i \(-0.263002\pi\)
−0.998923 + 0.0464043i \(0.985224\pi\)
\(368\) −6.01035 + 1.61047i −0.313311 + 0.0839514i
\(369\) 24.0522 17.6379i 1.25211 0.918195i
\(370\) 33.8166 + 25.3308i 1.75804 + 1.31689i
\(371\) −15.4349 + 2.72159i −0.801339 + 0.141298i
\(372\) 3.44057 + 1.74349i 0.178385 + 0.0903956i
\(373\) 15.0887 32.3578i 0.781262 1.67542i 0.0447484 0.998998i \(-0.485751\pi\)
0.736513 0.676423i \(-0.236471\pi\)
\(374\) 3.95556 22.4331i 0.204537 1.15999i
\(375\) −16.3104 + 10.4389i −0.842265 + 0.539064i
\(376\) 8.11016 6.80523i 0.418250 0.350953i
\(377\) −0.0253674 + 0.0253674i −0.00130649 + 0.00130649i
\(378\) −26.4602 + 14.8974i −1.36097 + 0.766239i
\(379\) 33.2247i 1.70664i 0.521388 + 0.853320i \(0.325415\pi\)
−0.521388 + 0.853320i \(0.674585\pi\)
\(380\) 8.67315 17.1435i 0.444923 0.879441i
\(381\) −2.30198 0.924144i −0.117934 0.0473453i
\(382\) 4.27464 2.99314i 0.218710 0.153142i
\(383\) 29.7492 + 13.8723i 1.52012 + 0.708842i 0.990258 0.139245i \(-0.0444676\pi\)
0.529858 + 0.848087i \(0.322245\pi\)
\(384\) −9.58668 8.59358i −0.489218 0.438539i
\(385\) 24.3948 + 5.11214i 1.24327 + 0.260539i
\(386\) 19.2410 11.1088i 0.979340 0.565422i
\(387\) 22.5237 4.48161i 1.14495 0.227813i
\(388\) −2.94210 10.9801i −0.149363 0.557429i
\(389\) 5.02600 + 1.82931i 0.254828 + 0.0927498i 0.466276 0.884640i \(-0.345596\pi\)
−0.211447 + 0.977389i \(0.567818\pi\)
\(390\) 11.0916 8.14493i 0.561645 0.412435i
\(391\) 3.42808 + 2.87650i 0.173365 + 0.145471i
\(392\) 2.67920 0.234400i 0.135320 0.0118390i
\(393\) −3.05876 + 10.0844i −0.154294 + 0.508692i
\(394\) −12.5233 + 34.4075i −0.630915 + 1.73343i
\(395\) −3.93582 0.471797i −0.198032 0.0237387i
\(396\) −10.9713 + 11.4621i −0.551327 + 0.575991i
\(397\) −7.94953 + 29.6681i −0.398976 + 1.48900i 0.415926 + 0.909398i \(0.363458\pi\)
−0.814902 + 0.579599i \(0.803209\pi\)
\(398\) 12.5725 17.9554i 0.630201 0.900021i
\(399\) 30.6938 + 6.45327i 1.53661 + 0.323068i
\(400\) −9.56447 + 21.8183i −0.478224 + 1.09092i
\(401\) −0.473405 0.0834740i −0.0236407 0.00416849i 0.161815 0.986821i \(-0.448265\pi\)
−0.185456 + 0.982653i \(0.559376\pi\)
\(402\) −0.0865060 + 0.717647i −0.00431452 + 0.0357930i
\(403\) 0.248703 2.84269i 0.0123888 0.141604i
\(404\) −25.1827 −1.25289
\(405\) 19.3765 5.43596i 0.962828 0.270115i
\(406\) −0.110156 −0.00546694
\(407\) −3.14122 + 35.9043i −0.155705 + 1.77971i
\(408\) −0.682547 + 5.66236i −0.0337911 + 0.280329i
\(409\) −22.3819 3.94653i −1.10671 0.195144i −0.409714 0.912214i \(-0.634371\pi\)
−0.697000 + 0.717071i \(0.745482\pi\)
\(410\) −41.4817 1.32940i −2.04864 0.0656544i
\(411\) −1.76047 0.370133i −0.0868375 0.0182573i
\(412\) −1.87724 + 2.68098i −0.0924851 + 0.132082i
\(413\) 4.54404 16.9586i 0.223598 0.834478i
\(414\) −2.04717 7.02200i −0.100613 0.345113i
\(415\) −12.9836 + 10.2040i −0.637339 + 0.500896i
\(416\) 4.53888 12.4705i 0.222537 0.611416i
\(417\) 9.57039 31.5526i 0.468664 1.54514i
\(418\) 38.3107 3.35176i 1.87384 0.163940i
\(419\) 8.25865 + 6.92983i 0.403462 + 0.338544i 0.821830 0.569733i \(-0.192953\pi\)
−0.418368 + 0.908277i \(0.637398\pi\)
\(420\) 17.7989 + 2.72645i 0.868499 + 0.133037i
\(421\) −23.5375 8.56694i −1.14715 0.417527i −0.302657 0.953099i \(-0.597874\pi\)
−0.844489 + 0.535572i \(0.820096\pi\)
\(422\) −2.97018 11.0849i −0.144586 0.539603i
\(423\) 21.7936 + 24.8480i 1.05964 + 1.20815i
\(424\) 4.16685 2.40573i 0.202360 0.116833i
\(425\) 16.7991 3.36558i 0.814874 0.163255i
\(426\) −1.19263 1.06908i −0.0577829 0.0517971i
\(427\) 24.1302 + 11.2521i 1.16774 + 0.544528i
\(428\) −23.7480 + 16.6285i −1.14790 + 0.803771i
\(429\) 10.8933 + 4.37318i 0.525932 + 0.211139i
\(430\) −28.5145 14.4259i −1.37509 0.695681i
\(431\) 14.1259i 0.680421i 0.940349 + 0.340210i \(0.110498\pi\)
−0.940349 + 0.340210i \(0.889502\pi\)
\(432\) 16.1179 18.7918i 0.775473 0.904122i
\(433\) 1.82757 1.82757i 0.0878275 0.0878275i −0.661828 0.749656i \(-0.730219\pi\)
0.749656 + 0.661828i \(0.230219\pi\)
\(434\) 6.71204 5.63207i 0.322188 0.270348i
\(435\) 0.0709252 + 0.0173014i 0.00340060 + 0.000829538i
\(436\) −3.84793 + 21.8227i −0.184283 + 1.04512i
\(437\) −3.19288 + 6.84716i −0.152736 + 0.327544i
\(438\) 23.1459 + 11.7290i 1.10595 + 0.560435i
\(439\) −24.0637 + 4.24307i −1.14850 + 0.202511i −0.715319 0.698798i \(-0.753719\pi\)
−0.433177 + 0.901309i \(0.642607\pi\)
\(440\) −7.57408 + 1.08664i −0.361080 + 0.0518036i
\(441\) 0.914534 + 8.34606i 0.0435492 + 0.397431i
\(442\) −11.7600 + 3.15108i −0.559365 + 0.149881i
\(443\) 12.5019 + 26.8103i 0.593981 + 1.27380i 0.941781 + 0.336227i \(0.109151\pi\)
−0.347800 + 0.937569i \(0.613071\pi\)
\(444\) −0.851174 + 26.0239i −0.0403949 + 1.23504i
\(445\) −18.9736 5.74131i −0.899433 0.272164i
\(446\) 11.5696 13.7881i 0.547838 0.652888i
\(447\) −3.72205 + 3.48628i −0.176047 + 0.164895i
\(448\) 9.89690 4.61500i 0.467584 0.218038i
\(449\) 15.2444 26.4040i 0.719426 1.24608i −0.241802 0.970326i \(-0.577738\pi\)
0.961228 0.275756i \(-0.0889283\pi\)
\(450\) −25.8870 10.6793i −1.22032 0.503425i
\(451\) −17.7014 30.6597i −0.833527 1.44371i
\(452\) 8.60714 + 6.02678i 0.404846 + 0.283476i
\(453\) −13.8111 + 27.2546i −0.648903 + 1.28053i
\(454\) −0.583838 1.60408i −0.0274009 0.0752833i
\(455\) −3.03393 12.9714i −0.142233 0.608110i
\(456\) −9.53202 + 1.36113i −0.446378 + 0.0637410i
\(457\) 9.32149 + 0.815525i 0.436041 + 0.0381486i 0.303063 0.952970i \(-0.401991\pi\)
0.132978 + 0.991119i \(0.457546\pi\)
\(458\) −6.24252 6.24252i −0.291694 0.291694i
\(459\) −17.7194 1.74365i −0.827072 0.0813865i
\(460\) −1.61324 + 4.02615i −0.0752179 + 0.187720i
\(461\) −4.16189 4.95995i −0.193839 0.231008i 0.660367 0.750943i \(-0.270401\pi\)
−0.854206 + 0.519935i \(0.825956\pi\)
\(462\) 14.1565 + 33.1466i 0.658619 + 1.54212i
\(463\) 7.62562 + 10.8905i 0.354393 + 0.506125i 0.956279 0.292457i \(-0.0944728\pi\)
−0.601886 + 0.798582i \(0.705584\pi\)
\(464\) 0.0843941 0.0307169i 0.00391790 0.00142600i
\(465\) −5.20622 + 2.57207i −0.241433 + 0.119277i
\(466\) −1.31246 7.44335i −0.0607987 0.344806i
\(467\) −21.1655 5.67127i −0.979421 0.262435i −0.266620 0.963802i \(-0.585907\pi\)
−0.712801 + 0.701367i \(0.752574\pi\)
\(468\) 8.03034 + 2.72541i 0.371203 + 0.125982i
\(469\) 0.606010 + 0.349880i 0.0279829 + 0.0161560i
\(470\) −2.53875 45.9204i −0.117104 2.11815i
\(471\) 7.89910 12.7036i 0.363971 0.585352i
\(472\) 0.469751 + 5.36927i 0.0216220 + 0.247141i
\(473\) −2.37578 27.1553i −0.109239 1.24860i
\(474\) −2.70231 5.05532i −0.124121 0.232199i
\(475\) 12.8287 + 25.9241i 0.588623 + 1.18948i
\(476\) −13.7967 7.96554i −0.632372 0.365100i
\(477\) 7.79307 + 12.8409i 0.356820 + 0.587944i
\(478\) −26.2173 7.02491i −1.19915 0.321312i
\(479\) 2.75645 + 15.6326i 0.125945 + 0.714272i 0.980742 + 0.195309i \(0.0625709\pi\)
−0.854796 + 0.518964i \(0.826318\pi\)
\(480\) −26.4832 + 5.28758i −1.20879 + 0.241344i
\(481\) 18.1014 6.58839i 0.825355 0.300405i
\(482\) −17.2077 24.5751i −0.783788 1.11936i
\(483\) −7.02988 0.847389i −0.319871 0.0385575i
\(484\) 1.60395 + 1.91151i 0.0729066 + 0.0868867i
\(485\) 15.8859 + 6.36537i 0.721343 + 0.289036i
\(486\) 22.4987 + 18.4587i 1.02056 + 0.837305i
\(487\) −9.67948 9.67948i −0.438619 0.438619i 0.452928 0.891547i \(-0.350379\pi\)
−0.891547 + 0.452928i \(0.850379\pi\)
\(488\) −8.14245 0.712372i −0.368592 0.0322476i
\(489\) −11.0674 14.1013i −0.500487 0.637684i
\(490\) 6.16259 9.92547i 0.278397 0.448387i
\(491\) 9.36638 + 25.7339i 0.422699 + 1.16136i 0.950156 + 0.311774i \(0.100923\pi\)
−0.527458 + 0.849581i \(0.676855\pi\)
\(492\) −13.9773 21.4193i −0.630145 0.965657i
\(493\) −0.0529092 0.0370474i −0.00238291 0.00166853i
\(494\) −10.2771 17.8005i −0.462389 0.800881i
\(495\) −3.90872 23.5653i −0.175684 1.05918i
\(496\) −3.57182 + 6.18657i −0.160379 + 0.277785i
\(497\) −1.40524 + 0.655272i −0.0630335 + 0.0293930i
\(498\) −22.8518 6.93129i −1.02401 0.310599i
\(499\) −2.84438 + 3.38980i −0.127332 + 0.151749i −0.825944 0.563753i \(-0.809357\pi\)
0.698612 + 0.715501i \(0.253802\pi\)
\(500\) 8.17532 + 14.4538i 0.365611 + 0.646393i
\(501\) 10.3777 + 6.45283i 0.463640 + 0.288291i
\(502\) 4.58861 + 9.84030i 0.204800 + 0.439194i
\(503\) 20.3350 5.44875i 0.906693 0.242948i 0.224805 0.974404i \(-0.427826\pi\)
0.681889 + 0.731456i \(0.261159\pi\)
\(504\) −3.99182 8.09342i −0.177810 0.360510i
\(505\) 22.7295 30.3439i 1.01145 1.35028i
\(506\) −8.54998 + 1.50759i −0.380093 + 0.0670207i
\(507\) 0.885944 + 16.2187i 0.0393462 + 0.720297i
\(508\) −0.898953 + 1.92781i −0.0398846 + 0.0855328i
\(509\) −3.28136 + 18.6095i −0.145444 + 0.824851i 0.821566 + 0.570113i \(0.193101\pi\)
−0.967010 + 0.254739i \(0.918011\pi\)
\(510\) 17.9093 + 17.1198i 0.793035 + 0.758077i
\(511\) 19.2426 16.1465i 0.851244 0.714279i
\(512\) −17.0168 + 17.0168i −0.752043 + 0.752043i
\(513\) −4.89914 29.6575i −0.216302 1.30941i
\(514\) 20.2735i 0.894224i
\(515\) −1.53607 4.68179i −0.0676875 0.206305i
\(516\) −2.78384 19.4952i −0.122552 0.858230i
\(517\) 32.1360 22.5018i 1.41334 0.989630i
\(518\) 53.6067 + 24.9972i 2.35534 + 1.09831i
\(519\) 6.10891 1.99985i 0.268151 0.0877836i
\(520\) 2.23718 + 3.42341i 0.0981068 + 0.150126i
\(521\) −20.9815 + 12.1137i −0.919216 + 0.530709i −0.883385 0.468648i \(-0.844741\pi\)
−0.0358309 + 0.999358i \(0.511408\pi\)
\(522\) 0.0382687 + 0.0983909i 0.00167498 + 0.00430645i
\(523\) 8.39124 + 31.3165i 0.366923 + 1.36938i 0.864795 + 0.502125i \(0.167448\pi\)
−0.497872 + 0.867251i \(0.665885\pi\)
\(524\) 8.49159 + 3.09069i 0.370957 + 0.135017i
\(525\) −19.3503 + 18.9860i −0.844516 + 0.828615i
\(526\) −18.0579 15.1524i −0.787363 0.660676i
\(527\) 5.11805 0.447771i 0.222946 0.0195052i
\(528\) −20.0887 21.4472i −0.874248 0.933370i
\(529\) −7.28312 + 20.0102i −0.316657 + 0.870009i
\(530\) 2.48767 20.7526i 0.108057 0.901435i
\(531\) −16.7260 + 1.83278i −0.725846 + 0.0795359i
\(532\) 6.96113 25.9793i 0.301803 1.12634i
\(533\) −10.8531 + 15.4998i −0.470100 + 0.671372i
\(534\) −8.91851 27.2433i −0.385942 1.17893i
\(535\) 1.39805 43.6238i 0.0604430 1.88602i
\(536\) −0.211556 0.0373031i −0.00913784 0.00161125i
\(537\) 7.66656 + 5.75064i 0.330837 + 0.248158i
\(538\) −0.0403511 + 0.461216i −0.00173966 + 0.0198844i
\(539\) 9.96580 0.429258
\(540\) −3.74819 16.8451i −0.161296 0.724900i
\(541\) −31.6739 −1.36177 −0.680885 0.732391i \(-0.738404\pi\)
−0.680885 + 0.732391i \(0.738404\pi\)
\(542\) −1.68091 + 19.2129i −0.0722013 + 0.825265i
\(543\) 23.8033 10.1661i 1.02150 0.436268i
\(544\) 23.5301 + 4.14900i 1.00885 + 0.177887i
\(545\) −22.8222 24.3334i −0.977595 1.04233i
\(546\) 12.8585 14.3444i 0.550291 0.613884i
\(547\) −3.05247 + 4.35939i −0.130514 + 0.186394i −0.879090 0.476655i \(-0.841849\pi\)
0.748576 + 0.663049i \(0.230738\pi\)
\(548\) −0.399262 + 1.49007i −0.0170556 + 0.0636525i
\(549\) 1.66738 25.4621i 0.0711622 1.08670i
\(550\) −15.9475 + 29.1635i −0.680002 + 1.24353i
\(551\) 0.0372955 0.102469i 0.00158884 0.00436531i
\(552\) 2.11693 0.493664i 0.0901026 0.0210117i
\(553\) −5.52810 + 0.483646i −0.235079 + 0.0205667i
\(554\) 20.5950 + 17.2812i 0.874996 + 0.734209i
\(555\) −30.5892 24.5144i −1.29844 1.04058i
\(556\) −26.5689 9.67029i −1.12677 0.410111i
\(557\) −1.56986 5.85880i −0.0665171 0.248245i 0.924659 0.380796i \(-0.124350\pi\)
−0.991176 + 0.132551i \(0.957683\pi\)
\(558\) −7.36235 4.03857i −0.311673 0.170966i
\(559\) −12.6173 + 7.28459i −0.533654 + 0.308105i
\(560\) −6.84010 + 32.6404i −0.289047 + 1.37931i
\(561\) −4.34829 + 20.6818i −0.183585 + 0.873187i
\(562\) 16.9803 + 7.91803i 0.716269 + 0.334002i
\(563\) 10.3919 7.27648i 0.437966 0.306667i −0.333718 0.942673i \(-0.608303\pi\)
0.771684 + 0.636006i \(0.219415\pi\)
\(564\) 22.2951 17.4983i 0.938791 0.736812i
\(565\) −15.0306 + 4.93148i −0.632344 + 0.207469i
\(566\) 40.4258i 1.69922i
\(567\) 24.9878 13.0115i 1.04939 0.546434i
\(568\) 0.336577 0.336577i 0.0141224 0.0141224i
\(569\) −10.4685 + 8.78410i −0.438862 + 0.368249i −0.835283 0.549820i \(-0.814696\pi\)
0.396421 + 0.918069i \(0.370252\pi\)
\(570\) −20.0922 + 36.6857i −0.841571 + 1.53659i
\(571\) 0.567607 3.21906i 0.0237536 0.134713i −0.970625 0.240598i \(-0.922656\pi\)
0.994378 + 0.105885i \(0.0337675\pi\)
\(572\) 4.25397 9.12268i 0.177868 0.381438i
\(573\) −4.05457 + 2.64583i −0.169382 + 0.110531i
\(574\) −57.2176 + 10.0890i −2.38822 + 0.421107i
\(575\) −3.39521 5.57782i −0.141590 0.232611i
\(576\) −7.56034 7.23661i −0.315014 0.301525i
\(577\) −14.4385 + 3.86877i −0.601081 + 0.161059i −0.546513 0.837451i \(-0.684045\pi\)
−0.0545684 + 0.998510i \(0.517378\pi\)
\(578\) 4.14890 + 8.89735i 0.172572 + 0.370081i
\(579\) −18.1787 + 9.71740i −0.755481 + 0.403841i
\(580\) 0.0181314 0.0599195i 0.000752864 0.00248802i
\(581\) −14.8595 + 17.7089i −0.616477 + 0.734689i
\(582\) 5.62036 + 24.1012i 0.232972 + 0.999029i
\(583\) 16.1586 7.53489i 0.669222 0.312063i
\(584\) −3.85572 + 6.67831i −0.159551 + 0.276350i
\(585\) −10.5320 + 7.21624i −0.435447 + 0.298355i
\(586\) −13.3710 23.1593i −0.552351 0.956700i
\(587\) 23.5519 + 16.4912i 0.972091 + 0.680666i 0.947742 0.319038i \(-0.103360\pi\)
0.0243494 + 0.999704i \(0.492249\pi\)
\(588\) 7.18897 0.392697i 0.296468 0.0161945i
\(589\) 2.96654 + 8.15050i 0.122234 + 0.335836i
\(590\) 19.8912 + 12.3502i 0.818909 + 0.508449i
\(591\) 12.6562 31.5256i 0.520605 1.29679i
\(592\) −48.0404 4.20299i −1.97445 0.172742i
\(593\) 21.0591 + 21.0591i 0.864795 + 0.864795i 0.991891 0.127095i \(-0.0405654\pi\)
−0.127095 + 0.991891i \(0.540565\pi\)
\(594\) 24.6884 24.1598i 1.01298 0.991290i
\(595\) 22.0508 9.43477i 0.903994 0.386788i
\(596\) 2.81099 + 3.35001i 0.115143 + 0.137222i
\(597\) −12.2028 + 16.2683i −0.499426 + 0.665819i
\(598\) 2.66152 + 3.80104i 0.108838 + 0.155436i
\(599\) −18.9188 + 6.88587i −0.773000 + 0.281349i −0.698251 0.715853i \(-0.746038\pi\)
−0.0747495 + 0.997202i \(0.523816\pi\)
\(600\) 3.58864 7.50874i 0.146506 0.306543i
\(601\) 3.78086 + 21.4423i 0.154225 + 0.874652i 0.959491 + 0.281739i \(0.0909111\pi\)
−0.805267 + 0.592913i \(0.797978\pi\)
\(602\) −43.2110 11.5784i −1.76115 0.471899i
\(603\) 0.101981 0.662837i 0.00415298 0.0269928i
\(604\) 22.6904 + 13.1003i 0.923260 + 0.533045i
\(605\) −3.75097 + 0.207375i −0.152498 + 0.00843100i
\(606\) 54.7957 + 1.79223i 2.22592 + 0.0728043i
\(607\) −2.20037 25.1503i −0.0893101 1.02082i −0.900158 0.435563i \(-0.856549\pi\)
0.810848 0.585257i \(-0.199006\pi\)
\(608\) 3.51566 + 40.1842i 0.142579 + 1.62968i
\(609\) 0.102145 + 0.00334091i 0.00413914 + 0.000135381i
\(610\) −23.6825 + 26.4543i −0.958876 + 1.07110i
\(611\) −18.1586 10.4839i −0.734618 0.424132i
\(612\) −2.32174 + 15.0905i −0.0938510 + 0.609996i
\(613\) 27.4201 + 7.34719i 1.10749 + 0.296750i 0.765810 0.643067i \(-0.222338\pi\)
0.341677 + 0.939817i \(0.389005\pi\)
\(614\) 3.79035 + 21.4961i 0.152966 + 0.867513i
\(615\) 38.4249 + 2.49083i 1.54944 + 0.100440i
\(616\) −10.0656 + 3.66357i −0.405554 + 0.147609i
\(617\) 13.1265 + 18.7465i 0.528452 + 0.754707i 0.991285 0.131738i \(-0.0420559\pi\)
−0.462833 + 0.886446i \(0.653167\pi\)
\(618\) 4.27555 5.70002i 0.171988 0.229288i
\(619\) 18.4274 + 21.9609i 0.740658 + 0.882682i 0.996462 0.0840469i \(-0.0267846\pi\)
−0.255804 + 0.966729i \(0.582340\pi\)
\(620\) 1.95879 + 4.57805i 0.0786670 + 0.183859i
\(621\) 1.68533 + 6.57346i 0.0676300 + 0.263784i
\(622\) 33.6696 + 33.6696i 1.35003 + 1.35003i
\(623\) −27.6450 2.41862i −1.10757 0.0969000i
\(624\) −5.85136 + 14.5753i −0.234242 + 0.583480i
\(625\) −24.7950 3.19493i −0.991800 0.127797i
\(626\) 19.0255 + 52.2720i 0.760411 + 2.08921i
\(627\) −35.6265 + 1.94609i −1.42278 + 0.0777194i
\(628\) −10.5078 7.35767i −0.419308 0.293603i
\(629\) 17.3409 + 30.0354i 0.691429 + 1.19759i
\(630\) −38.5352 7.19930i −1.53528 0.286827i
\(631\) −3.00683 + 5.20799i −0.119700 + 0.207327i −0.919649 0.392742i \(-0.871527\pi\)
0.799949 + 0.600068i \(0.204860\pi\)
\(632\) 1.54395 0.719954i 0.0614149 0.0286382i
\(633\) 2.41800 + 10.3689i 0.0961069 + 0.412126i
\(634\) 30.2361 36.0340i 1.20083 1.43109i
\(635\) −1.51153 2.82321i −0.0599834 0.112036i
\(636\) 11.3593 6.07212i 0.450427 0.240775i
\(637\) −2.25105 4.82739i −0.0891899 0.191268i
\(638\) 0.121040 0.0324325i 0.00479201 0.00128401i
\(639\) 1.07347 + 1.02751i 0.0424660 + 0.0406476i
\(640\) −2.36042 16.4525i −0.0933036 0.650343i
\(641\) −7.56572 + 1.33404i −0.298828 + 0.0526914i −0.321052 0.947062i \(-0.604036\pi\)
0.0222240 + 0.999753i \(0.492925\pi\)
\(642\) 52.8574 34.4924i 2.08612 1.36131i
\(643\) −12.3056 + 26.3895i −0.485286 + 1.04070i 0.499402 + 0.866370i \(0.333553\pi\)
−0.984688 + 0.174328i \(0.944225\pi\)
\(644\) −1.05437 + 5.97960i −0.0415478 + 0.235629i
\(645\) 26.0034 + 14.2417i 1.02388 + 0.560767i
\(646\) 28.3485 23.7872i 1.11536 0.935896i
\(647\) −12.6122 + 12.6122i −0.495836 + 0.495836i −0.910139 0.414303i \(-0.864025\pi\)
0.414303 + 0.910139i \(0.364025\pi\)
\(648\) −5.84224 + 6.37718i −0.229505 + 0.250519i
\(649\) 19.9721i 0.783972i
\(650\) 17.7288 + 1.13751i 0.695382 + 0.0446169i
\(651\) −6.39476 + 5.01894i −0.250630 + 0.196708i
\(652\) −12.5917 + 8.81681i −0.493129 + 0.345293i
\(653\) 2.60484 + 1.21466i 0.101935 + 0.0475332i 0.472917 0.881107i \(-0.343201\pi\)
−0.370982 + 0.928640i \(0.620979\pi\)
\(654\) 9.92593 47.2108i 0.388135 1.84609i
\(655\) −11.3885 + 7.44233i −0.444986 + 0.290796i
\(656\) 41.0230 23.6847i 1.60168 0.924731i
\(657\) −21.1070 11.5781i −0.823462 0.451704i
\(658\) −16.6634 62.1887i −0.649607 2.42437i
\(659\) 27.2829 + 9.93016i 1.06279 + 0.386824i 0.813476 0.581599i \(-0.197573\pi\)
0.249314 + 0.968423i \(0.419795\pi\)
\(660\) −20.3603 + 2.24459i −0.792523 + 0.0873706i
\(661\) −1.29090 1.08319i −0.0502100 0.0421312i 0.617337 0.786699i \(-0.288211\pi\)
−0.667547 + 0.744567i \(0.732656\pi\)
\(662\) −47.3251 + 4.14041i −1.83934 + 0.160922i
\(663\) 11.0004 2.56526i 0.427219 0.0996266i
\(664\) 2.42725 6.66881i 0.0941955 0.258800i
\(665\) 25.0207 + 31.8363i 0.970262 + 1.23456i
\(666\) 3.70419 56.5655i 0.143534 2.19187i
\(667\) −0.00637146 + 0.0237786i −0.000246704 + 0.000920711i
\(668\) 6.01053 8.58392i 0.232554 0.332122i
\(669\) −11.1465 + 12.4346i −0.430948 + 0.480749i
\(670\) −0.680659 + 0.638387i −0.0262962 + 0.0246630i
\(671\) −29.8273 5.25936i −1.15147 0.203035i
\(672\) −34.7675 + 14.8487i −1.34119 + 0.572803i
\(673\) 1.87350 21.4142i 0.0722182 0.825458i −0.870565 0.492053i \(-0.836247\pi\)
0.942784 0.333405i \(-0.108198\pi\)
\(674\) 29.4436 1.13412
\(675\) 23.6806 + 10.6878i 0.911467 + 0.411374i
\(676\) 13.9285 0.535710
\(677\) 1.02266 11.6890i 0.0393039 0.449245i −0.950888 0.309534i \(-0.899827\pi\)
0.990192 0.139711i \(-0.0446175\pi\)
\(678\) −18.2996 13.7264i −0.702792 0.527160i
\(679\) 23.5937 + 4.16020i 0.905442 + 0.159654i
\(680\) −5.37052 + 5.03698i −0.205950 + 0.193159i
\(681\) 0.492732 + 1.50514i 0.0188815 + 0.0576771i
\(682\) −5.71701 + 8.16473i −0.218916 + 0.312644i
\(683\) 8.76191 32.6999i 0.335265 1.25123i −0.568316 0.822810i \(-0.692405\pi\)
0.903581 0.428416i \(-0.140928\pi\)
\(684\) −25.6230 + 2.80768i −0.979718 + 0.107354i
\(685\) −1.43509 1.82600i −0.0548318 0.0697679i
\(686\) −8.39729 + 23.0714i −0.320610 + 0.880869i
\(687\) 5.59923 + 5.97789i 0.213624 + 0.228071i
\(688\) 36.3341 3.17882i 1.38522 0.121191i
\(689\) −7.29974 6.12521i −0.278098 0.233352i
\(690\) 3.79684 8.64579i 0.144543 0.329140i
\(691\) 26.6550 + 9.70163i 1.01400 + 0.369067i 0.794969 0.606650i \(-0.207487\pi\)
0.219035 + 0.975717i \(0.429709\pi\)
\(692\) −1.42662 5.32421i −0.0542318 0.202396i
\(693\) −12.1217 31.1656i −0.460466 1.18388i
\(694\) 18.0076 10.3967i 0.683561 0.394654i
\(695\) 35.6329 23.2859i 1.35163 0.883285i
\(696\) −0.0298174 + 0.00976118i −0.00113022 + 0.000369997i
\(697\) −30.8755 14.3975i −1.16949 0.545343i
\(698\) −0.372502 + 0.260829i −0.0140994 + 0.00987252i
\(699\) 0.991272 + 6.94188i 0.0374934 + 0.262566i
\(700\) 15.3514 + 17.4564i 0.580229 + 0.659791i
\(701\) 44.1563i 1.66776i −0.551945 0.833880i \(-0.686114\pi\)
0.551945 0.833880i \(-0.313886\pi\)
\(702\) −17.2795 6.50181i −0.652172 0.245395i
\(703\) −41.4024 + 41.4024i −1.56152 + 1.56152i
\(704\) −9.51599 + 7.98487i −0.358648 + 0.300941i
\(705\) 0.961411 + 42.6581i 0.0362088 + 1.60660i
\(706\) 4.57734 25.9594i 0.172270 0.976994i
\(707\) 22.4302 48.1017i 0.843574 1.80905i
\(708\) 0.786988 + 14.4071i 0.0295768 + 0.541453i
\(709\) 16.3732 2.88704i 0.614909 0.108425i 0.142486 0.989797i \(-0.454490\pi\)
0.472423 + 0.881372i \(0.343379\pi\)
\(710\) −0.293646 2.04677i −0.0110203 0.0768137i
\(711\) 2.35248 + 4.76966i 0.0882249 + 0.178876i
\(712\) 8.22888 2.20492i 0.308390 0.0826330i
\(713\) −0.827531 1.77465i −0.0309913 0.0664610i
\(714\) 29.4538 + 18.3143i 1.10228 + 0.685397i
\(715\) 7.15279 + 13.3598i 0.267499 + 0.499629i
\(716\) 5.28248 6.29542i 0.197416 0.235271i
\(717\) 24.0978 + 7.30921i 0.899947 + 0.272967i
\(718\) −1.69694 + 0.791297i −0.0633293 + 0.0295310i
\(719\) 24.0796 41.7071i 0.898017 1.55541i 0.0679908 0.997686i \(-0.478341\pi\)
0.830026 0.557725i \(-0.188326\pi\)
\(720\) 31.5306 5.22990i 1.17508 0.194907i
\(721\) −3.44891 5.97368i −0.128444 0.222472i
\(722\) 22.1215 + 15.4897i 0.823278 + 0.576466i
\(723\) 15.2110 + 23.3099i 0.565703 + 0.866904i
\(724\) −7.59124 20.8568i −0.282126 0.775136i
\(725\) 0.0558348 + 0.0759298i 0.00207365 + 0.00281996i
\(726\) −3.35403 4.27345i −0.124480 0.158603i
\(727\) −25.2483 2.20894i −0.936407 0.0819250i −0.391274 0.920274i \(-0.627965\pi\)
−0.545133 + 0.838349i \(0.683521\pi\)
\(728\) 4.04821 + 4.04821i 0.150037 + 0.150037i
\(729\) −20.3028 17.7988i −0.751955 0.659214i
\(730\) 13.1775 + 30.7981i 0.487720 + 1.13989i
\(731\) −16.8608 20.0939i −0.623619 0.743200i
\(732\) −21.7236 2.61858i −0.802927 0.0967856i
\(733\) 8.53910 + 12.1951i 0.315399 + 0.450436i 0.945282 0.326253i \(-0.105786\pi\)
−0.629883 + 0.776690i \(0.716897\pi\)
\(734\) 25.5488 9.29902i 0.943025 0.343233i
\(735\) −6.01548 + 9.01679i −0.221884 + 0.332589i
\(736\) −1.58132 8.96809i −0.0582881 0.330568i
\(737\) −0.768900 0.206026i −0.0283228 0.00758907i
\(738\) 28.8892 + 47.6016i 1.06343 + 1.75224i
\(739\) −23.0919 13.3321i −0.849450 0.490430i 0.0110150 0.999939i \(-0.496494\pi\)
−0.860465 + 0.509509i \(0.829827\pi\)
\(740\) −22.4208 + 25.0450i −0.824205 + 0.920672i
\(741\) 8.98989 + 16.8177i 0.330252 + 0.617815i
\(742\) −2.55015 29.1483i −0.0936188 1.07007i
\(743\) 0.0585912 + 0.669700i 0.00214950 + 0.0245689i 0.997194 0.0748647i \(-0.0238525\pi\)
−0.995044 + 0.0994336i \(0.968297\pi\)
\(744\) 1.31777 2.11928i 0.0483117 0.0776966i
\(745\) −6.57375 + 0.363435i −0.240844 + 0.0133152i
\(746\) 57.7232 + 33.3265i 2.11340 + 1.22017i
\(747\) 20.9798 + 7.12032i 0.767611 + 0.260519i
\(748\) 17.5051 + 4.69049i 0.640052 + 0.171501i
\(749\) −10.6100 60.1723i −0.387681 2.19865i
\(750\) −16.7602 32.0322i −0.611998 1.16965i
\(751\) 9.08514 3.30672i 0.331521 0.120664i −0.170896 0.985289i \(-0.554666\pi\)
0.502417 + 0.864625i \(0.332444\pi\)
\(752\) 30.1077 + 42.9983i 1.09791 + 1.56799i
\(753\) −3.95648 9.26389i −0.144182 0.337595i
\(754\) −0.0430503 0.0513054i −0.00156780 0.00186843i
\(755\) −36.2653 + 15.5167i −1.31983 + 0.564709i
\(756\) −9.97223 22.0041i −0.362687 0.800280i
\(757\) 17.1950 + 17.1950i 0.624963 + 0.624963i 0.946796 0.321833i \(-0.104299\pi\)
−0.321833 + 0.946796i \(0.604299\pi\)
\(758\) −61.7907 5.40599i −2.24434 0.196354i
\(759\) 7.97396 1.13865i 0.289436 0.0413303i
\(760\) −10.5606 6.55694i −0.383074 0.237845i
\(761\) −13.4878 37.0575i −0.488933 1.34333i −0.901647 0.432472i \(-0.857642\pi\)
0.412715 0.910860i \(-0.364581\pi\)
\(762\) 2.09326 4.13080i 0.0758307 0.149643i
\(763\) −38.2564 26.7874i −1.38498 0.969770i
\(764\) 2.07582 + 3.59542i 0.0751005 + 0.130078i
\(765\) −16.0877 16.4180i −0.581651 0.593594i
\(766\) −30.6399 + 53.0699i −1.10707 + 1.91749i
\(767\) 9.67438 4.51124i 0.349322 0.162891i
\(768\) 26.3619 24.6920i 0.951251 0.890996i
\(769\) −33.2031 + 39.5700i −1.19734 + 1.42693i −0.319756 + 0.947500i \(0.603601\pi\)
−0.877580 + 0.479429i \(0.840844\pi\)
\(770\) −13.4767 + 44.5371i −0.485667 + 1.60500i