Properties

Label 230.2.j.a.29.5
Level $230$
Weight $2$
Character 230.29
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 29.5
Character \(\chi\) \(=\) 230.29
Dual form 230.2.j.a.119.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.537451 - 1.83039i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-0.575877 - 2.16064i) q^{5} +(-1.24925 + 1.44172i) q^{6} +(2.93634 + 0.422181i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-0.537711 - 0.345566i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(0.537451 - 1.83039i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-0.575877 - 2.16064i) q^{5} +(-1.24925 + 1.44172i) q^{6} +(2.93634 + 0.422181i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-0.537711 - 0.345566i) q^{9} +(-0.373726 + 2.20462i) q^{10} +(-1.22793 - 2.68879i) q^{11} +(1.73527 - 0.792472i) q^{12} +(-1.87656 + 0.269809i) q^{13} +(-2.49560 - 1.60383i) q^{14} +(-4.26432 - 0.107159i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-0.719853 - 0.623756i) q^{17} +(0.345566 + 0.537711i) q^{18} +(0.167681 + 0.193515i) q^{19} +(1.25578 - 1.85014i) q^{20} +(2.35089 - 5.14774i) q^{21} +2.95591i q^{22} +(-4.04295 + 2.57964i) q^{23} -1.90766 q^{24} +(-4.33673 + 2.48853i) q^{25} +(1.81906 + 0.534125i) q^{26} +(3.40363 - 2.94926i) q^{27} +(1.60383 + 2.49560i) q^{28} +(-0.0268070 + 0.0309369i) q^{29} +(3.83445 + 1.86894i) q^{30} +(5.13506 - 1.50779i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-5.58149 + 0.802497i) q^{33} +(0.395684 + 0.866426i) q^{34} +(-0.778786 - 6.58749i) q^{35} +(-0.0909646 - 0.632673i) q^{36} +(2.00856 - 3.12538i) q^{37} +(-0.0721395 - 0.245685i) q^{38} +(-0.514704 + 3.57985i) q^{39} +(-1.91088 + 1.16127i) q^{40} +(7.88484 - 5.06728i) q^{41} +(-4.27689 + 3.70595i) q^{42} +(-3.10755 + 10.5833i) q^{43} +(1.22793 - 2.68879i) q^{44} +(-0.436988 + 1.36080i) q^{45} +(4.74922 - 0.667022i) q^{46} +8.07309i q^{47} +(1.73527 + 0.792472i) q^{48} +(1.72738 + 0.507204i) q^{49} +(4.97860 - 0.462099i) q^{50} +(-1.52860 + 0.982373i) q^{51} +(-1.43279 - 1.24152i) q^{52} +(12.5053 + 1.79799i) q^{53} +(-4.32122 + 1.26883i) q^{54} +(-5.10237 + 4.20153i) q^{55} +(-0.422181 - 2.93634i) q^{56} +(0.444328 - 0.202918i) q^{57} +(0.0372362 - 0.0170052i) q^{58} +(0.794391 + 5.52511i) q^{59} +(-2.71155 - 3.29293i) q^{60} +(8.08881 - 2.37509i) q^{61} +(-5.29738 - 0.761648i) q^{62} +(-1.43301 - 1.24171i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(1.66363 + 3.89920i) q^{65} +(5.41047 + 1.58866i) q^{66} +(5.22758 + 2.38735i) q^{67} -0.952502i q^{68} +(2.54886 + 8.78660i) q^{69} +(-2.02813 + 6.31571i) q^{70} +(-5.95566 + 13.0411i) q^{71} +(-0.180077 + 0.613288i) q^{72} +(0.785633 - 0.680754i) q^{73} +(-3.12538 + 2.00856i) q^{74} +(2.22419 + 9.27537i) q^{75} +(-0.0364407 + 0.253450i) q^{76} +(-2.47046 - 8.41360i) q^{77} +(1.95531 - 3.04253i) q^{78} +(-0.123952 - 0.862106i) q^{79} +(2.22060 - 0.262524i) q^{80} +(-4.36559 - 9.55931i) q^{81} +(-9.27732 + 1.33388i) q^{82} +(6.11445 - 9.51428i) q^{83} +(5.42991 - 1.59436i) q^{84} +(-0.933166 + 1.91455i) q^{85} +(7.22320 - 8.33602i) q^{86} +(0.0422192 + 0.0656944i) q^{87} +(-2.23393 + 1.93571i) q^{88} +(-15.5804 - 4.57482i) q^{89} +(0.962797 - 1.05630i) q^{90} -5.62412 q^{91} +(-4.59713 - 1.36615i) q^{92} -10.2095i q^{93} +(3.35368 - 7.34354i) q^{94} +(0.321552 - 0.473740i) q^{95} +(-1.24925 - 1.44172i) q^{96} +(1.81420 + 2.82294i) q^{97} +(-1.36058 - 1.17895i) q^{98} +(-0.268883 + 1.87012i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 0.415415i −0.643207 0.293743i
\(3\) 0.537451 1.83039i 0.310297 1.05678i −0.645746 0.763552i \(-0.723454\pi\)
0.956044 0.293224i \(-0.0947281\pi\)
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −0.575877 2.16064i −0.257540 0.966268i
\(6\) −1.24925 + 1.44172i −0.510006 + 0.588578i
\(7\) 2.93634 + 0.422181i 1.10983 + 0.159570i 0.672762 0.739859i \(-0.265108\pi\)
0.437068 + 0.899428i \(0.356017\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) −0.537711 0.345566i −0.179237 0.115189i
\(10\) −0.373726 + 2.20462i −0.118183 + 0.697161i
\(11\) −1.22793 2.68879i −0.370235 0.810701i −0.999440 0.0334618i \(-0.989347\pi\)
0.629205 0.777239i \(-0.283380\pi\)
\(12\) 1.73527 0.792472i 0.500930 0.228767i
\(13\) −1.87656 + 0.269809i −0.520464 + 0.0748315i −0.397540 0.917585i \(-0.630136\pi\)
−0.122924 + 0.992416i \(0.539227\pi\)
\(14\) −2.49560 1.60383i −0.666978 0.428641i
\(15\) −4.26432 0.107159i −1.10104 0.0276682i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −0.719853 0.623756i −0.174590 0.151283i 0.563182 0.826333i \(-0.309577\pi\)
−0.737772 + 0.675049i \(0.764122\pi\)
\(18\) 0.345566 + 0.537711i 0.0814507 + 0.126740i
\(19\) 0.167681 + 0.193515i 0.0384688 + 0.0443953i 0.774658 0.632381i \(-0.217922\pi\)
−0.736189 + 0.676776i \(0.763377\pi\)
\(20\) 1.25578 1.85014i 0.280802 0.413703i
\(21\) 2.35089 5.14774i 0.513007 1.12333i
\(22\) 2.95591i 0.630202i
\(23\) −4.04295 + 2.57964i −0.843014 + 0.537892i
\(24\) −1.90766 −0.389400
\(25\) −4.33673 + 2.48853i −0.867346 + 0.497705i
\(26\) 1.81906 + 0.534125i 0.356747 + 0.104751i
\(27\) 3.40363 2.94926i 0.655029 0.567586i
\(28\) 1.60383 + 2.49560i 0.303095 + 0.471625i
\(29\) −0.0268070 + 0.0309369i −0.00497794 + 0.00574485i −0.758233 0.651984i \(-0.773937\pi\)
0.753255 + 0.657728i \(0.228483\pi\)
\(30\) 3.83445 + 1.86894i 0.700071 + 0.341220i
\(31\) 5.13506 1.50779i 0.922285 0.270807i 0.214081 0.976816i \(-0.431324\pi\)
0.708203 + 0.706009i \(0.249506\pi\)
\(32\) 0.540641 0.841254i 0.0955727 0.148714i
\(33\) −5.58149 + 0.802497i −0.971612 + 0.139697i
\(34\) 0.395684 + 0.866426i 0.0678592 + 0.148591i
\(35\) −0.778786 6.58749i −0.131639 1.11349i
\(36\) −0.0909646 0.632673i −0.0151608 0.105445i
\(37\) 2.00856 3.12538i 0.330205 0.513809i −0.635964 0.771719i \(-0.719397\pi\)
0.966169 + 0.257909i \(0.0830336\pi\)
\(38\) −0.0721395 0.245685i −0.0117026 0.0398553i
\(39\) −0.514704 + 3.57985i −0.0824186 + 0.573234i
\(40\) −1.91088 + 1.16127i −0.302136 + 0.183613i
\(41\) 7.88484 5.06728i 1.23140 0.791376i 0.247295 0.968940i \(-0.420458\pi\)
0.984109 + 0.177564i \(0.0568218\pi\)
\(42\) −4.27689 + 3.70595i −0.659939 + 0.571840i
\(43\) −3.10755 + 10.5833i −0.473897 + 1.61394i 0.282111 + 0.959382i \(0.408965\pi\)
−0.756008 + 0.654563i \(0.772853\pi\)
\(44\) 1.22793 2.68879i 0.185117 0.405351i
\(45\) −0.436988 + 1.36080i −0.0651424 + 0.202857i
\(46\) 4.74922 0.667022i 0.700234 0.0983470i
\(47\) 8.07309i 1.17758i 0.808286 + 0.588790i \(0.200396\pi\)
−0.808286 + 0.588790i \(0.799604\pi\)
\(48\) 1.73527 + 0.792472i 0.250465 + 0.114383i
\(49\) 1.72738 + 0.507204i 0.246768 + 0.0724577i
\(50\) 4.97860 0.462099i 0.704080 0.0653507i
\(51\) −1.52860 + 0.982373i −0.214047 + 0.137560i
\(52\) −1.43279 1.24152i −0.198693 0.172168i
\(53\) 12.5053 + 1.79799i 1.71773 + 0.246972i 0.929609 0.368547i \(-0.120145\pi\)
0.788122 + 0.615520i \(0.211054\pi\)
\(54\) −4.32122 + 1.26883i −0.588044 + 0.172665i
\(55\) −5.10237 + 4.20153i −0.688004 + 0.566534i
\(56\) −0.422181 2.93634i −0.0564163 0.392384i
\(57\) 0.444328 0.202918i 0.0588526 0.0268771i
\(58\) 0.0372362 0.0170052i 0.00488935 0.00223289i
\(59\) 0.794391 + 5.52511i 0.103421 + 0.719308i 0.973879 + 0.227066i \(0.0729134\pi\)
−0.870458 + 0.492242i \(0.836178\pi\)
\(60\) −2.71155 3.29293i −0.350060 0.425116i
\(61\) 8.08881 2.37509i 1.03567 0.304099i 0.280653 0.959809i \(-0.409449\pi\)
0.755012 + 0.655710i \(0.227631\pi\)
\(62\) −5.29738 0.761648i −0.672767 0.0967294i
\(63\) −1.43301 1.24171i −0.180542 0.156441i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) 1.66363 + 3.89920i 0.206348 + 0.483636i
\(66\) 5.41047 + 1.58866i 0.665983 + 0.195550i
\(67\) 5.22758 + 2.38735i 0.638650 + 0.291662i 0.708302 0.705910i \(-0.249462\pi\)
−0.0696517 + 0.997571i \(0.522189\pi\)
\(68\) 0.952502i 0.115508i
\(69\) 2.54886 + 8.78660i 0.306847 + 1.05778i
\(70\) −2.02813 + 6.31571i −0.242408 + 0.754872i
\(71\) −5.95566 + 13.0411i −0.706807 + 1.54769i 0.124712 + 0.992193i \(0.460199\pi\)
−0.831518 + 0.555498i \(0.812528\pi\)
\(72\) −0.180077 + 0.613288i −0.0212223 + 0.0722766i
\(73\) 0.785633 0.680754i 0.0919513 0.0796763i −0.607672 0.794188i \(-0.707897\pi\)
0.699624 + 0.714512i \(0.253351\pi\)
\(74\) −3.12538 + 2.00856i −0.363318 + 0.233490i
\(75\) 2.22419 + 9.27537i 0.256828 + 1.07103i
\(76\) −0.0364407 + 0.253450i −0.00418003 + 0.0290727i
\(77\) −2.47046 8.41360i −0.281535 0.958819i
\(78\) 1.95531 3.04253i 0.221396 0.344498i
\(79\) −0.123952 0.862106i −0.0139457 0.0969945i 0.981660 0.190641i \(-0.0610567\pi\)
−0.995605 + 0.0936467i \(0.970148\pi\)
\(80\) 2.22060 0.262524i 0.248271 0.0293511i
\(81\) −4.36559 9.55931i −0.485066 1.06215i
\(82\) −9.27732 + 1.33388i −1.02451 + 0.147302i
\(83\) 6.11445 9.51428i 0.671149 1.04433i −0.324011 0.946053i \(-0.605031\pi\)
0.995159 0.0982742i \(-0.0313322\pi\)
\(84\) 5.42991 1.59436i 0.592451 0.173959i
\(85\) −0.933166 + 1.91455i −0.101216 + 0.207662i
\(86\) 7.22320 8.33602i 0.778898 0.898896i
\(87\) 0.0422192 + 0.0656944i 0.00452637 + 0.00704318i
\(88\) −2.23393 + 1.93571i −0.238138 + 0.206347i
\(89\) −15.5804 4.57482i −1.65152 0.484930i −0.682288 0.731083i \(-0.739015\pi\)
−0.969231 + 0.246153i \(0.920833\pi\)
\(90\) 0.962797 1.05630i 0.101488 0.111344i
\(91\) −5.62412 −0.589568
\(92\) −4.59713 1.36615i −0.479284 0.142431i
\(93\) 10.2095i 1.05868i
\(94\) 3.35368 7.34354i 0.345906 0.757428i
\(95\) 0.321552 0.473740i 0.0329905 0.0486047i
\(96\) −1.24925 1.44172i −0.127501 0.147144i
\(97\) 1.81420 + 2.82294i 0.184204 + 0.286626i 0.921058 0.389425i \(-0.127326\pi\)
−0.736855 + 0.676051i \(0.763690\pi\)
\(98\) −1.36058 1.17895i −0.137439 0.119092i
\(99\) −0.268883 + 1.87012i −0.0270238 + 0.187955i
\(100\) −4.72066 1.64785i −0.472066 0.164785i
\(101\) −0.243652 0.156585i −0.0242443 0.0155808i 0.528463 0.848957i \(-0.322769\pi\)
−0.552707 + 0.833376i \(0.686405\pi\)
\(102\) 1.79856 0.258594i 0.178084 0.0256046i
\(103\) −8.77628 + 4.00799i −0.864753 + 0.394919i −0.797861 0.602841i \(-0.794035\pi\)
−0.0668915 + 0.997760i \(0.521308\pi\)
\(104\) 0.787568 + 1.72453i 0.0772274 + 0.169104i
\(105\) −12.4762 2.11497i −1.21756 0.206400i
\(106\) −10.6283 6.83038i −1.03231 0.663425i
\(107\) −4.41635 15.0407i −0.426944 1.45404i −0.839627 0.543164i \(-0.817226\pi\)
0.412683 0.910875i \(-0.364592\pi\)
\(108\) 4.45781 + 0.640936i 0.428953 + 0.0616741i
\(109\) 4.51086 5.20580i 0.432062 0.498626i −0.497412 0.867514i \(-0.665716\pi\)
0.929474 + 0.368889i \(0.120262\pi\)
\(110\) 6.38666 1.70224i 0.608944 0.162302i
\(111\) −4.64116 5.35619i −0.440520 0.508387i
\(112\) −0.835768 + 2.84636i −0.0789727 + 0.268956i
\(113\) 9.78064 + 4.46667i 0.920085 + 0.420189i 0.818414 0.574629i \(-0.194854\pi\)
0.101671 + 0.994818i \(0.467581\pi\)
\(114\) −0.488470 −0.0457494
\(115\) 7.90192 + 7.24981i 0.736858 + 0.676048i
\(116\) −0.0409355 −0.00380076
\(117\) 1.10228 + 0.503397i 0.101906 + 0.0465390i
\(118\) 1.57261 5.35582i 0.144771 0.493043i
\(119\) −1.85039 2.13547i −0.169625 0.195758i
\(120\) 1.09858 + 4.12177i 0.100286 + 0.376265i
\(121\) 1.48168 1.70995i 0.134698 0.155450i
\(122\) −8.34448 1.19976i −0.755474 0.108621i
\(123\) −5.03738 17.1557i −0.454205 1.54688i
\(124\) 4.50226 + 2.89343i 0.404315 + 0.259838i
\(125\) 7.87423 + 7.93703i 0.704293 + 0.709910i
\(126\) 0.787686 + 1.72479i 0.0701727 + 0.153657i
\(127\) 1.59832 0.729926i 0.141828 0.0647705i −0.343237 0.939249i \(-0.611523\pi\)
0.485065 + 0.874478i \(0.338796\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) 17.7015 + 11.3761i 1.55853 + 1.00161i
\(130\) 0.106496 4.23793i 0.00934028 0.371691i
\(131\) −0.739637 + 5.14428i −0.0646223 + 0.449458i 0.931661 + 0.363327i \(0.118359\pi\)
−0.996284 + 0.0861308i \(0.972550\pi\)
\(132\) −4.26158 3.69268i −0.370923 0.321407i
\(133\) 0.410671 + 0.639016i 0.0356097 + 0.0554097i
\(134\) −3.76343 4.34323i −0.325111 0.375198i
\(135\) −8.33237 5.65561i −0.717137 0.486758i
\(136\) −0.395684 + 0.866426i −0.0339296 + 0.0742954i
\(137\) 3.53527i 0.302038i 0.988531 + 0.151019i \(0.0482555\pi\)
−0.988531 + 0.151019i \(0.951744\pi\)
\(138\) 1.33156 9.05141i 0.113350 0.770507i
\(139\) −18.7922 −1.59393 −0.796967 0.604023i \(-0.793564\pi\)
−0.796967 + 0.604023i \(0.793564\pi\)
\(140\) 4.46849 4.90245i 0.377657 0.414333i
\(141\) 14.7769 + 4.33889i 1.24444 + 0.365400i
\(142\) 10.8349 9.38851i 0.909246 0.787866i
\(143\) 3.02974 + 4.71437i 0.253360 + 0.394236i
\(144\) 0.418573 0.483059i 0.0348811 0.0402549i
\(145\) 0.0822812 + 0.0401044i 0.00683308 + 0.00333049i
\(146\) −0.997432 + 0.292872i −0.0825481 + 0.0242383i
\(147\) 1.85676 2.88918i 0.153143 0.238295i
\(148\) 3.67733 0.528721i 0.302275 0.0434606i
\(149\) −6.53477 14.3091i −0.535349 1.17225i −0.963295 0.268446i \(-0.913490\pi\)
0.427946 0.903804i \(-0.359237\pi\)
\(150\) 1.82993 9.36113i 0.149413 0.764333i
\(151\) 2.82587 + 19.6544i 0.229966 + 1.59945i 0.698239 + 0.715865i \(0.253967\pi\)
−0.468272 + 0.883584i \(0.655123\pi\)
\(152\) 0.138435 0.215409i 0.0112285 0.0174719i
\(153\) 0.171524 + 0.584157i 0.0138669 + 0.0472263i
\(154\) −1.24793 + 8.67955i −0.100561 + 0.699418i
\(155\) −6.21496 10.2267i −0.499197 0.821430i
\(156\) −3.04253 + 1.95531i −0.243597 + 0.156550i
\(157\) −1.59778 + 1.38448i −0.127517 + 0.110494i −0.716284 0.697808i \(-0.754159\pi\)
0.588768 + 0.808302i \(0.299613\pi\)
\(158\) −0.245381 + 0.835691i −0.0195215 + 0.0664840i
\(159\) 10.0120 21.9232i 0.794002 1.73862i
\(160\) −2.12899 0.683672i −0.168311 0.0540490i
\(161\) −12.9605 + 5.86783i −1.02143 + 0.462450i
\(162\) 10.5090i 0.825664i
\(163\) −6.14991 2.80857i −0.481698 0.219984i 0.159740 0.987159i \(-0.448934\pi\)
−0.641438 + 0.767175i \(0.721662\pi\)
\(164\) 8.99306 + 2.64060i 0.702240 + 0.206196i
\(165\) 4.94816 + 11.5974i 0.385213 + 0.902860i
\(166\) −9.51428 + 6.11445i −0.738451 + 0.474574i
\(167\) 14.0030 + 12.1337i 1.08358 + 0.938931i 0.998350 0.0574296i \(-0.0182905\pi\)
0.0852349 + 0.996361i \(0.472836\pi\)
\(168\) −5.60154 0.805380i −0.432168 0.0621364i
\(169\) −9.02473 + 2.64990i −0.694210 + 0.203838i
\(170\) 1.64417 1.35388i 0.126102 0.103838i
\(171\) −0.0232921 0.162000i −0.00178119 0.0123885i
\(172\) −10.0334 + 4.58209i −0.765037 + 0.349381i
\(173\) −16.7785 + 7.66249i −1.27565 + 0.582568i −0.934004 0.357262i \(-0.883710\pi\)
−0.341642 + 0.939830i \(0.610983\pi\)
\(174\) −0.0111135 0.0772962i −0.000842513 0.00585981i
\(175\) −13.7847 + 5.47626i −1.04203 + 0.413966i
\(176\) 2.83618 0.832776i 0.213785 0.0627729i
\(177\) 10.5401 + 1.51543i 0.792239 + 0.113907i
\(178\) 12.2720 + 10.6337i 0.919824 + 0.797032i
\(179\) −20.7148 + 13.3126i −1.54830 + 0.995030i −0.562556 + 0.826759i \(0.690182\pi\)
−0.985741 + 0.168271i \(0.946182\pi\)
\(180\) −1.31459 + 0.560884i −0.0979840 + 0.0418058i
\(181\) 4.53803 + 1.33249i 0.337309 + 0.0990429i 0.446001 0.895033i \(-0.352848\pi\)
−0.108692 + 0.994076i \(0.534666\pi\)
\(182\) 5.11588 + 2.33634i 0.379214 + 0.173181i
\(183\) 16.0822i 1.18883i
\(184\) 3.61418 + 3.15241i 0.266441 + 0.232399i
\(185\) −7.90951 2.53994i −0.581519 0.186740i
\(186\) −4.24119 + 9.28691i −0.310979 + 0.680950i
\(187\) −0.793221 + 2.70146i −0.0580061 + 0.197551i
\(188\) −6.10123 + 5.28675i −0.444978 + 0.385576i
\(189\) 11.2393 7.22308i 0.817541 0.525402i
\(190\) −0.489292 + 0.297352i −0.0354970 + 0.0215721i
\(191\) −1.33212 + 9.26507i −0.0963885 + 0.670397i 0.883143 + 0.469105i \(0.155423\pi\)
−0.979531 + 0.201292i \(0.935486\pi\)
\(192\) 0.537451 + 1.83039i 0.0387872 + 0.132097i
\(193\) −10.9915 + 17.1030i −0.791182 + 1.23110i 0.177823 + 0.984062i \(0.443095\pi\)
−0.969005 + 0.247041i \(0.920542\pi\)
\(194\) −0.477557 3.32148i −0.0342866 0.238469i
\(195\) 8.03116 0.949460i 0.575124 0.0679923i
\(196\) 0.747872 + 1.63761i 0.0534195 + 0.116972i
\(197\) 5.50214 0.791089i 0.392011 0.0563627i 0.0565091 0.998402i \(-0.482003\pi\)
0.335502 + 0.942039i \(0.391094\pi\)
\(198\) 1.02146 1.58943i 0.0725922 0.112956i
\(199\) 26.0943 7.66198i 1.84978 0.543143i 0.849907 0.526932i \(-0.176658\pi\)
0.999869 0.0162109i \(-0.00516030\pi\)
\(200\) 3.60952 + 3.45996i 0.255232 + 0.244656i
\(201\) 7.17936 8.28542i 0.506393 0.584408i
\(202\) 0.156585 + 0.243652i 0.0110173 + 0.0171433i
\(203\) −0.0917754 + 0.0795238i −0.00644137 + 0.00558148i
\(204\) −1.74345 0.511923i −0.122066 0.0358418i
\(205\) −15.4893 14.1182i −1.08182 0.986055i
\(206\) 9.64817 0.672220
\(207\) 3.06538 + 0.0100043i 0.213058 + 0.000695348i
\(208\) 1.89586i 0.131454i
\(209\) 0.314420 0.688483i 0.0217489 0.0476233i
\(210\) 10.4702 + 7.10666i 0.722511 + 0.490406i
\(211\) −6.20313 7.15880i −0.427041 0.492832i 0.500928 0.865489i \(-0.332992\pi\)
−0.927969 + 0.372657i \(0.878447\pi\)
\(212\) 6.83038 + 10.6283i 0.469112 + 0.729953i
\(213\) 20.6694 + 17.9101i 1.41624 + 1.22718i
\(214\) −2.23088 + 15.5161i −0.152500 + 1.06066i
\(215\) 24.6564 + 0.619593i 1.68155 + 0.0422559i
\(216\) −3.78871 2.43486i −0.257789 0.165671i
\(217\) 15.7148 2.25945i 1.06679 0.153382i
\(218\) −6.26579 + 2.86149i −0.424373 + 0.193805i
\(219\) −0.823807 1.80389i −0.0556677 0.121895i
\(220\) −6.51665 1.10470i −0.439352 0.0744790i
\(221\) 1.51914 + 0.976294i 0.102189 + 0.0656726i
\(222\) 1.99671 + 6.80017i 0.134010 + 0.456397i
\(223\) 2.74318 + 0.394410i 0.183697 + 0.0264116i 0.233549 0.972345i \(-0.424966\pi\)
−0.0498523 + 0.998757i \(0.515875\pi\)
\(224\) 1.94266 2.24195i 0.129800 0.149797i
\(225\) 3.19186 + 0.160519i 0.212791 + 0.0107013i
\(226\) −7.04126 8.12605i −0.468378 0.540537i
\(227\) −1.37919 + 4.69707i −0.0915398 + 0.311756i −0.992516 0.122112i \(-0.961033\pi\)
0.900977 + 0.433868i \(0.142851\pi\)
\(228\) 0.444328 + 0.202918i 0.0294263 + 0.0134386i
\(229\) 18.3691 1.21386 0.606932 0.794754i \(-0.292400\pi\)
0.606932 + 0.794754i \(0.292400\pi\)
\(230\) −4.17616 9.87723i −0.275368 0.651285i
\(231\) −16.7279 −1.10062
\(232\) 0.0372362 + 0.0170052i 0.00244468 + 0.00111645i
\(233\) 6.00281 20.4437i 0.393257 1.33931i −0.490531 0.871424i \(-0.663197\pi\)
0.883788 0.467887i \(-0.154985\pi\)
\(234\) −0.793555 0.915811i −0.0518763 0.0598685i
\(235\) 17.4430 4.64910i 1.13786 0.303274i
\(236\) −3.65539 + 4.21854i −0.237945 + 0.274604i
\(237\) −1.64461 0.236459i −0.106829 0.0153597i
\(238\) 0.796071 + 2.71117i 0.0516016 + 0.175739i
\(239\) −0.909109 0.584249i −0.0588054 0.0377919i 0.510908 0.859636i \(-0.329309\pi\)
−0.569713 + 0.821844i \(0.692946\pi\)
\(240\) 0.712944 4.20566i 0.0460203 0.271474i
\(241\) −6.08250 13.3188i −0.391809 0.857941i −0.998036 0.0626494i \(-0.980045\pi\)
0.606227 0.795292i \(-0.292682\pi\)
\(242\) −2.05812 + 0.939914i −0.132301 + 0.0604200i
\(243\) −6.47012 + 0.930263i −0.415058 + 0.0596764i
\(244\) 7.09201 + 4.55776i 0.454020 + 0.291781i
\(245\) 0.101128 4.02433i 0.00646082 0.257105i
\(246\) −2.54459 + 17.6980i −0.162237 + 1.12838i
\(247\) −0.366876 0.317900i −0.0233438 0.0202275i
\(248\) −2.89343 4.50226i −0.183733 0.285894i
\(249\) −14.1286 16.3053i −0.895365 1.03331i
\(250\) −3.86549 10.4909i −0.244475 0.663500i
\(251\) 4.64552 10.1723i 0.293223 0.642068i −0.704487 0.709717i \(-0.748823\pi\)
0.997709 + 0.0676494i \(0.0215499\pi\)
\(252\) 1.89614i 0.119446i
\(253\) 11.9006 + 7.70303i 0.748183 + 0.484285i
\(254\) −1.75710 −0.110250
\(255\) 3.00284 + 2.73703i 0.188045 + 0.171400i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −22.6797 + 19.6521i −1.41472 + 1.22586i −0.476800 + 0.879012i \(0.658203\pi\)
−0.937920 + 0.346851i \(0.887251\pi\)
\(258\) −11.3761 17.7015i −0.708242 1.10205i
\(259\) 7.21728 8.32919i 0.448460 0.517551i
\(260\) −1.85737 + 3.81072i −0.115189 + 0.236331i
\(261\) 0.0251052 0.00737155i 0.00155397 0.000456288i
\(262\) 2.80981 4.37215i 0.173591 0.270112i
\(263\) −16.0629 + 2.30950i −0.990483 + 0.142410i −0.618462 0.785814i \(-0.712244\pi\)
−0.372021 + 0.928224i \(0.621335\pi\)
\(264\) 2.34248 + 5.12931i 0.144169 + 0.315687i
\(265\) −3.31669 28.0548i −0.203743 1.72339i
\(266\) −0.108102 0.751868i −0.00662818 0.0461000i
\(267\) −16.7474 + 26.0595i −1.02492 + 1.59481i
\(268\) 1.61909 + 5.51412i 0.0989019 + 0.336829i
\(269\) −2.72536 + 18.9553i −0.166168 + 1.15572i 0.720546 + 0.693407i \(0.243891\pi\)
−0.886714 + 0.462318i \(0.847018\pi\)
\(270\) 5.22997 + 8.60592i 0.318286 + 0.523740i
\(271\) −1.18119 + 0.759102i −0.0717519 + 0.0461122i −0.576025 0.817432i \(-0.695397\pi\)
0.504273 + 0.863544i \(0.331761\pi\)
\(272\) 0.719853 0.623756i 0.0436475 0.0378208i
\(273\) −3.02269 + 10.2943i −0.182941 + 0.623041i
\(274\) 1.46860 3.21579i 0.0887216 0.194273i
\(275\) 12.0163 + 8.60483i 0.724612 + 0.518891i
\(276\) −4.97132 + 7.68030i −0.299239 + 0.462300i
\(277\) 17.5234i 1.05288i −0.850212 0.526441i \(-0.823526\pi\)
0.850212 0.526441i \(-0.176474\pi\)
\(278\) 17.0940 + 7.80656i 1.02523 + 0.468207i
\(279\) −3.28222 0.963748i −0.196502 0.0576981i
\(280\) −6.10124 + 2.60315i −0.364619 + 0.155568i
\(281\) −26.9954 + 17.3489i −1.61041 + 1.03495i −0.648639 + 0.761096i \(0.724661\pi\)
−0.961772 + 0.273852i \(0.911702\pi\)
\(282\) −11.6391 10.0853i −0.693098 0.600573i
\(283\) −3.58275 0.515121i −0.212972 0.0306208i 0.0350028 0.999387i \(-0.488856\pi\)
−0.247975 + 0.968766i \(0.579765\pi\)
\(284\) −13.7559 + 4.03910i −0.816263 + 0.239676i
\(285\) −0.694310 0.843177i −0.0411274 0.0499455i
\(286\) −0.797530 5.54695i −0.0471590 0.327998i
\(287\) 25.2918 11.5504i 1.49293 0.681798i
\(288\) −0.581417 + 0.265524i −0.0342604 + 0.0156462i
\(289\) −2.29024 15.9289i −0.134720 0.936996i
\(290\) −0.0581856 0.0706611i −0.00341678 0.00414936i
\(291\) 6.14212 1.80349i 0.360058 0.105722i
\(292\) 1.02896 + 0.147942i 0.0602153 + 0.00865766i
\(293\) 5.14803 + 4.46079i 0.300751 + 0.260602i 0.792142 0.610337i \(-0.208966\pi\)
−0.491391 + 0.870939i \(0.663511\pi\)
\(294\) −2.88918 + 1.85676i −0.168500 + 0.108288i
\(295\) 11.4803 4.89818i 0.668409 0.285183i
\(296\) −3.56466 1.04668i −0.207192 0.0608369i
\(297\) −12.1094 5.53017i −0.702657 0.320893i
\(298\) 15.7307i 0.911255i
\(299\) 6.89083 5.93168i 0.398507 0.343038i
\(300\) −5.55332 + 7.75501i −0.320621 + 0.447735i
\(301\) −13.5929 + 29.7643i −0.783481 + 1.71558i
\(302\) 5.59421 19.0521i 0.321911 1.09633i
\(303\) −0.417563 + 0.361821i −0.0239884 + 0.0207860i
\(304\) −0.215409 + 0.138435i −0.0123545 + 0.00793977i
\(305\) −9.78987 16.1092i −0.560566 0.922412i
\(306\) 0.0866440 0.602622i 0.00495311 0.0344496i
\(307\) −0.958041 3.26279i −0.0546783 0.186217i 0.927626 0.373511i \(-0.121846\pi\)
−0.982304 + 0.187294i \(0.940028\pi\)
\(308\) 4.74077 7.37678i 0.270130 0.420331i
\(309\) 2.61937 + 18.2181i 0.149011 + 1.03639i
\(310\) 1.40499 + 11.8843i 0.0797981 + 0.674985i
\(311\) 8.33365 + 18.2481i 0.472558 + 1.03476i 0.984443 + 0.175703i \(0.0562200\pi\)
−0.511885 + 0.859054i \(0.671053\pi\)
\(312\) 3.57985 0.514704i 0.202669 0.0291394i
\(313\) 8.02235 12.4830i 0.453450 0.705582i −0.536981 0.843595i \(-0.680435\pi\)
0.990430 + 0.138013i \(0.0440715\pi\)
\(314\) 2.02852 0.595628i 0.114476 0.0336133i
\(315\) −1.85765 + 3.81129i −0.104667 + 0.214742i
\(316\) 0.570365 0.658236i 0.0320855 0.0370287i
\(317\) −9.60462 14.9451i −0.539449 0.839400i 0.459357 0.888252i \(-0.348080\pi\)
−0.998806 + 0.0488523i \(0.984444\pi\)
\(318\) −18.2144 + 15.7829i −1.02141 + 0.885061i
\(319\) 0.116100 + 0.0340901i 0.00650036 + 0.00190868i
\(320\) 1.65259 + 1.50630i 0.0923825 + 0.0842049i
\(321\) −29.9039 −1.66907
\(322\) 14.2269 + 0.0464316i 0.792834 + 0.00258753i
\(323\) 0.243894i 0.0135706i
\(324\) 4.36559 9.55931i 0.242533 0.531073i
\(325\) 7.46671 5.83996i 0.414179 0.323943i
\(326\) 4.42743 + 5.10953i 0.245213 + 0.282990i
\(327\) −7.10429 11.0545i −0.392868 0.611314i
\(328\) −7.08343 6.13783i −0.391117 0.338905i
\(329\) −3.40831 + 23.7053i −0.187906 + 1.30691i
\(330\) 0.316751 12.6049i 0.0174366 0.693879i
\(331\) −9.47608 6.08991i −0.520852 0.334731i 0.253657 0.967294i \(-0.418367\pi\)
−0.774509 + 0.632563i \(0.782003\pi\)
\(332\) 11.1945 1.60953i 0.614380 0.0883344i
\(333\) −2.16005 + 0.986463i −0.118370 + 0.0540578i
\(334\) −7.69707 16.8542i −0.421165 0.922222i
\(335\) 2.14777 12.6697i 0.117345 0.692222i
\(336\) 4.76077 + 3.05956i 0.259721 + 0.166913i
\(337\) −7.65302 26.0638i −0.416887 1.41979i −0.853950 0.520355i \(-0.825800\pi\)
0.437063 0.899431i \(-0.356019\pi\)
\(338\) 9.30999 + 1.33857i 0.506397 + 0.0728088i
\(339\) 13.4323 15.5018i 0.729545 0.841940i
\(340\) −2.05801 + 0.548524i −0.111611 + 0.0297479i
\(341\) −10.3596 11.9557i −0.561005 0.647435i
\(342\) −0.0461100 + 0.157036i −0.00249334 + 0.00849155i
\(343\) −14.0311 6.40780i −0.757610 0.345989i
\(344\) 11.0301 0.594705
\(345\) 17.5169 10.5672i 0.943076 0.568918i
\(346\) 18.4454 0.991630
\(347\) −16.1094 7.35691i −0.864797 0.394940i −0.0669191 0.997758i \(-0.521317\pi\)
−0.797878 + 0.602819i \(0.794044\pi\)
\(348\) −0.0220008 + 0.0749278i −0.00117937 + 0.00401655i
\(349\) 13.4559 + 15.5289i 0.720275 + 0.831242i 0.991340 0.131319i \(-0.0419212\pi\)
−0.271065 + 0.962561i \(0.587376\pi\)
\(350\) 14.8139 + 0.744993i 0.791838 + 0.0398216i
\(351\) −5.59139 + 6.45280i −0.298446 + 0.344425i
\(352\) −2.92582 0.420670i −0.155947 0.0224218i
\(353\) 7.24558 + 24.6762i 0.385643 + 1.31338i 0.892382 + 0.451281i \(0.149033\pi\)
−0.506738 + 0.862100i \(0.669149\pi\)
\(354\) −8.95804 5.75698i −0.476114 0.305980i
\(355\) 31.6068 + 5.35798i 1.67751 + 0.284372i
\(356\) −6.74558 14.7707i −0.357515 0.782848i
\(357\) −4.90323 + 2.23923i −0.259506 + 0.118513i
\(358\) 24.3731 3.50432i 1.28816 0.185209i
\(359\) −0.532753 0.342380i −0.0281177 0.0180701i 0.526506 0.850171i \(-0.323502\pi\)
−0.554624 + 0.832101i \(0.687138\pi\)
\(360\) 1.42880 + 0.0359044i 0.0753042 + 0.00189233i
\(361\) 2.69465 18.7417i 0.141824 0.986406i
\(362\) −3.57440 3.09724i −0.187866 0.162787i
\(363\) −2.33355 3.63107i −0.122479 0.190582i
\(364\) −3.68301 4.25043i −0.193042 0.222783i
\(365\) −1.92329 1.30544i −0.100670 0.0683298i
\(366\) −6.68077 + 14.6288i −0.349209 + 0.764662i
\(367\) 6.01653i 0.314060i 0.987594 + 0.157030i \(0.0501920\pi\)
−0.987594 + 0.157030i \(0.949808\pi\)
\(368\) −1.97801 4.36892i −0.103111 0.227746i
\(369\) −5.99085 −0.311871
\(370\) 6.13961 + 5.59614i 0.319183 + 0.290929i
\(371\) 35.9606 + 10.5590i 1.86698 + 0.548195i
\(372\) 7.71585 6.68582i 0.400048 0.346644i
\(373\) −18.0163 28.0339i −0.932848 1.45154i −0.891824 0.452382i \(-0.850574\pi\)
−0.0410244 0.999158i \(-0.513062\pi\)
\(374\) 1.84377 2.12782i 0.0953389 0.110027i
\(375\) 18.7599 10.1471i 0.968756 0.523996i
\(376\) 7.74607 2.27445i 0.399473 0.117296i
\(377\) 0.0419579 0.0652878i 0.00216094 0.00336249i
\(378\) −13.2242 + 1.90136i −0.680181 + 0.0977953i
\(379\) 4.92740 + 10.7895i 0.253103 + 0.554219i 0.992947 0.118560i \(-0.0378278\pi\)
−0.739844 + 0.672779i \(0.765101\pi\)
\(380\) 0.568600 0.0672211i 0.0291686 0.00344837i
\(381\) −0.477033 3.31784i −0.0244392 0.169978i
\(382\) 5.06058 7.87442i 0.258922 0.402891i
\(383\) 3.83003 + 13.0439i 0.195706 + 0.666512i 0.997612 + 0.0690628i \(0.0220009\pi\)
−0.801907 + 0.597449i \(0.796181\pi\)
\(384\) 0.271489 1.88825i 0.0138544 0.0963591i
\(385\) −16.7561 + 10.1830i −0.853969 + 0.518972i
\(386\) 17.1030 10.9915i 0.870522 0.559450i
\(387\) 5.32821 4.61692i 0.270848 0.234691i
\(388\) −0.945393 + 3.21971i −0.0479950 + 0.163456i
\(389\) −4.79087 + 10.4905i −0.242907 + 0.531891i −0.991340 0.131318i \(-0.958079\pi\)
0.748434 + 0.663210i \(0.230806\pi\)
\(390\) −7.69982 2.47261i −0.389896 0.125205i
\(391\) 4.51940 + 0.664853i 0.228556 + 0.0336231i
\(392\) 1.80030i 0.0909290i
\(393\) 9.01853 + 4.11862i 0.454924 + 0.207757i
\(394\) −5.33356 1.56607i −0.268701 0.0788976i
\(395\) −1.79132 + 0.764283i −0.0901311 + 0.0384552i
\(396\) −1.58943 + 1.02146i −0.0798717 + 0.0513304i
\(397\) −12.0135 10.4097i −0.602939 0.522450i 0.299034 0.954243i \(-0.403336\pi\)
−0.901973 + 0.431793i \(0.857881\pi\)
\(398\) −26.9191 3.87038i −1.34933 0.194005i
\(399\) 1.39036 0.408247i 0.0696052 0.0204379i
\(400\) −1.84602 4.64674i −0.0923008 0.232337i
\(401\) 1.46816 + 10.2113i 0.0733166 + 0.509928i 0.993079 + 0.117452i \(0.0374725\pi\)
−0.919762 + 0.392477i \(0.871618\pi\)
\(402\) −9.97246 + 4.55427i −0.497381 + 0.227146i
\(403\) −9.22944 + 4.21495i −0.459751 + 0.209961i
\(404\) −0.0412186 0.286681i −0.00205070 0.0142629i
\(405\) −18.1402 + 14.9375i −0.901393 + 0.742248i
\(406\) 0.116517 0.0342125i 0.00578265 0.00169794i
\(407\) −10.8699 1.56285i −0.538799 0.0774676i
\(408\) 1.37324 + 1.18992i 0.0679854 + 0.0589096i
\(409\) −7.78549 + 5.00343i −0.384968 + 0.247404i −0.718783 0.695235i \(-0.755300\pi\)
0.333815 + 0.942639i \(0.391664\pi\)
\(410\) 8.22463 + 19.2768i 0.406185 + 0.952014i
\(411\) 6.47092 + 1.90003i 0.319187 + 0.0937217i
\(412\) −8.77628 4.00799i −0.432376 0.197460i
\(413\) 16.5590i 0.814813i
\(414\) −2.78421 1.28250i −0.136836 0.0630316i
\(415\) −24.0781 7.73208i −1.18195 0.379553i
\(416\) −0.787568 + 1.72453i −0.0386137 + 0.0845522i
\(417\) −10.0999 + 34.3971i −0.494594 + 1.68443i
\(418\) −0.572012 + 0.495651i −0.0279780 + 0.0242431i
\(419\) −10.2420 + 6.58215i −0.500356 + 0.321559i −0.766359 0.642413i \(-0.777933\pi\)
0.266003 + 0.963972i \(0.414297\pi\)
\(420\) −6.57180 10.8139i −0.320671 0.527665i
\(421\) −2.31536 + 16.1037i −0.112844 + 0.784845i 0.852287 + 0.523075i \(0.175215\pi\)
−0.965130 + 0.261770i \(0.915694\pi\)
\(422\) 2.66870 + 9.08874i 0.129910 + 0.442433i
\(423\) 2.78978 4.34099i 0.135644 0.211066i
\(424\) −1.79799 12.5053i −0.0873179 0.607309i
\(425\) 4.67404 + 0.913690i 0.226724 + 0.0443205i
\(426\) −11.3614 24.8780i −0.550461 1.20534i
\(427\) 24.7542 3.55911i 1.19794 0.172237i
\(428\) 8.47491 13.1872i 0.409650 0.637428i
\(429\) 10.2575 3.01187i 0.495236 0.145414i
\(430\) −22.1708 10.8062i −1.06917 0.521122i
\(431\) 25.2443 29.1334i 1.21597 1.40331i 0.327205 0.944953i \(-0.393893\pi\)
0.888769 0.458355i \(-0.151561\pi\)
\(432\) 2.43486 + 3.78871i 0.117147 + 0.182285i
\(433\) 17.8974 15.5082i 0.860094 0.745276i −0.108454 0.994101i \(-0.534590\pi\)
0.968548 + 0.248826i \(0.0800446\pi\)
\(434\) −15.2333 4.47291i −0.731223 0.214706i
\(435\) 0.117629 0.129052i 0.00563987 0.00618759i
\(436\) 6.88827 0.329888
\(437\) −1.17713 0.349812i −0.0563096 0.0167338i
\(438\) 1.98309i 0.0947559i
\(439\) −0.427987 + 0.937161i −0.0204267 + 0.0447283i −0.919570 0.392925i \(-0.871463\pi\)
0.899144 + 0.437654i \(0.144190\pi\)
\(440\) 5.46884 + 3.71198i 0.260717 + 0.176962i
\(441\) −0.753558 0.869652i −0.0358837 0.0414120i
\(442\) −0.976294 1.51914i −0.0464375 0.0722582i
\(443\) 1.42284 + 1.23290i 0.0676012 + 0.0585768i 0.688006 0.725705i \(-0.258486\pi\)
−0.620405 + 0.784282i \(0.713032\pi\)
\(444\) 1.00862 7.01511i 0.0478670 0.332922i
\(445\) −0.912142 + 36.2982i −0.0432397 + 1.72070i
\(446\) −2.33144 1.49833i −0.110397 0.0709478i
\(447\) −29.7034 + 4.27071i −1.40492 + 0.201997i
\(448\) −2.69845 + 1.23234i −0.127490 + 0.0582226i
\(449\) −12.7865 27.9986i −0.603434 1.32134i −0.926975 0.375122i \(-0.877601\pi\)
0.323542 0.946214i \(-0.395126\pi\)
\(450\) −2.83674 1.47196i −0.133725 0.0693888i
\(451\) −23.3069 14.9784i −1.09748 0.705306i
\(452\) 3.02927 + 10.3168i 0.142485 + 0.485259i
\(453\) 37.4939 + 5.39081i 1.76162 + 0.253282i
\(454\) 3.20579 3.69967i 0.150455 0.173634i
\(455\) 3.23880 + 12.1517i 0.151837 + 0.569680i
\(456\) −0.319880 0.369161i −0.0149797 0.0172875i
\(457\) −3.27623 + 11.1578i −0.153255 + 0.521940i −0.999949 0.0101415i \(-0.996772\pi\)
0.846693 + 0.532081i \(0.178590\pi\)
\(458\) −16.7091 7.63079i −0.780765 0.356564i
\(459\) −4.28974 −0.200228
\(460\) −0.304381 + 10.7195i −0.0141918 + 0.499799i
\(461\) −1.25915 −0.0586445 −0.0293223 0.999570i \(-0.509335\pi\)
−0.0293223 + 0.999570i \(0.509335\pi\)
\(462\) 15.2162 + 6.94903i 0.707924 + 0.323298i
\(463\) 3.83011 13.0442i 0.178000 0.606213i −0.821359 0.570412i \(-0.806784\pi\)
0.999359 0.0358012i \(-0.0113983\pi\)
\(464\) −0.0268070 0.0309369i −0.00124448 0.00143621i
\(465\) −22.0591 + 5.87943i −1.02297 + 0.272652i
\(466\) −13.9530 + 16.1026i −0.646359 + 0.745938i
\(467\) 22.0760 + 3.17405i 1.02156 + 0.146877i 0.632680 0.774413i \(-0.281955\pi\)
0.388875 + 0.921291i \(0.372864\pi\)
\(468\) 0.341401 + 1.16271i 0.0157813 + 0.0537461i
\(469\) 14.3420 + 9.21706i 0.662253 + 0.425604i
\(470\) −17.7980 3.01712i −0.820963 0.139170i
\(471\) 1.67541 + 3.66865i 0.0771990 + 0.169042i
\(472\) 5.07750 2.31882i 0.233711 0.106732i
\(473\) 32.2722 4.64005i 1.48388 0.213350i
\(474\) 1.39776 + 0.898285i 0.0642012 + 0.0412596i
\(475\) −1.20876 0.421942i −0.0554615 0.0193600i
\(476\) 0.402128 2.79686i 0.0184315 0.128194i
\(477\) −6.10290 5.28819i −0.279433 0.242130i
\(478\) 0.584249 + 0.909109i 0.0267229 + 0.0415817i
\(479\) 0.174615 + 0.201516i 0.00797836 + 0.00920751i 0.759725 0.650245i \(-0.225334\pi\)
−0.751746 + 0.659452i \(0.770788\pi\)
\(480\) −2.39561 + 3.52944i −0.109344 + 0.161096i
\(481\) −2.92593 + 6.40689i −0.133411 + 0.292129i
\(482\) 14.6420i 0.666925i
\(483\) 3.77477 + 26.8765i 0.171758 + 1.22292i
\(484\) 2.26259 0.102845
\(485\) 5.05461 5.54549i 0.229518 0.251808i
\(486\) 6.27187 + 1.84159i 0.284498 + 0.0835361i
\(487\) 0.649982 0.563213i 0.0294535 0.0255216i −0.640010 0.768367i \(-0.721070\pi\)
0.669463 + 0.742845i \(0.266524\pi\)
\(488\) −4.55776 7.09201i −0.206320 0.321040i
\(489\) −8.44604 + 9.74725i −0.381943 + 0.440786i
\(490\) −1.76375 + 3.61865i −0.0796783 + 0.163474i
\(491\) 31.2363 9.17181i 1.40968 0.413918i 0.513680 0.857982i \(-0.328282\pi\)
0.895995 + 0.444064i \(0.146464\pi\)
\(492\) 9.66666 15.0416i 0.435807 0.678128i
\(493\) 0.0385942 0.00554901i 0.00173820 0.000249915i
\(494\) 0.201662 + 0.441578i 0.00907320 + 0.0198675i
\(495\) 4.19551 0.496002i 0.188574 0.0222936i
\(496\) 0.761648 + 5.29738i 0.0341990 + 0.237859i
\(497\) −22.9935 + 35.7786i −1.03140 + 1.60489i
\(498\) 6.07838 + 20.7011i 0.272379 + 0.927636i
\(499\) −2.09574 + 14.5762i −0.0938184 + 0.652521i 0.887596 + 0.460622i \(0.152374\pi\)
−0.981415 + 0.191899i \(0.938535\pi\)
\(500\) −0.841882 + 11.1486i −0.0376501 + 0.498580i
\(501\) 29.7353 19.1097i 1.32847 0.853758i
\(502\) −8.45143 + 7.32320i −0.377206 + 0.326851i
\(503\) 6.57420 22.3897i 0.293129 0.998306i −0.672870 0.739761i \(-0.734939\pi\)
0.965999 0.258545i \(-0.0832431\pi\)
\(504\) −0.787686 + 1.72479i −0.0350863 + 0.0768284i
\(505\) −0.198011 + 0.616618i −0.00881139 + 0.0274391i
\(506\) −7.62519 11.9506i −0.338981 0.531269i
\(507\) 17.9430i 0.796874i
\(508\) 1.59832 + 0.729926i 0.0709138 + 0.0323852i
\(509\) −32.1300 9.43422i −1.42414 0.418165i −0.523236 0.852188i \(-0.675275\pi\)
−0.900902 + 0.434023i \(0.857094\pi\)
\(510\) −1.59448 3.73712i −0.0706046 0.165482i
\(511\) 2.59428 1.66724i 0.114764 0.0737545i
\(512\) 0.755750 + 0.654861i 0.0333997 + 0.0289410i
\(513\) 1.14145 + 0.164116i 0.0503963 + 0.00724590i
\(514\) 28.7939 8.45466i 1.27005 0.372919i
\(515\) 13.7139 + 16.6543i 0.604306 + 0.733875i
\(516\) 2.99456 + 20.8276i 0.131828 + 0.916885i
\(517\) 21.7068 9.91318i 0.954666 0.435981i
\(518\) −10.0251 + 4.57833i −0.440479 + 0.201160i
\(519\) 5.00771 + 34.8294i 0.219814 + 1.52884i
\(520\) 3.27255 2.69477i 0.143511 0.118173i
\(521\) −4.03729 + 1.18546i −0.176877 + 0.0519357i −0.368972 0.929441i \(-0.620290\pi\)
0.192095 + 0.981376i \(0.438472\pi\)
\(522\) −0.0258987 0.00372368i −0.00113356 0.000162981i
\(523\) −24.2454 21.0088i −1.06018 0.918650i −0.0633312 0.997993i \(-0.520172\pi\)
−0.996847 + 0.0793426i \(0.974718\pi\)
\(524\) −4.37215 + 2.80981i −0.190998 + 0.122747i
\(525\) 2.61509 + 28.1746i 0.114132 + 1.22964i
\(526\) 15.5708 + 4.57199i 0.678917 + 0.199348i
\(527\) −4.63698 2.11764i −0.201990 0.0922458i
\(528\) 5.63888i 0.245401i
\(529\) 9.69090 20.8587i 0.421344 0.906901i
\(530\) −8.63741 + 26.8973i −0.375185 + 1.16835i
\(531\) 1.48214 3.24543i 0.0643193 0.140840i
\(532\) −0.214004 + 0.728831i −0.00927825 + 0.0315988i
\(533\) −13.4292 + 11.6364i −0.581682 + 0.504031i
\(534\) 26.0595 16.7474i 1.12770 0.724731i
\(535\) −29.9543 + 18.2037i −1.29504 + 0.787016i
\(536\) 0.817871 5.68842i 0.0353267 0.245702i
\(537\) 13.2340 + 45.0710i 0.571091 + 1.94496i
\(538\) 10.3534 16.1102i 0.446366 0.694560i
\(539\) −0.757333 5.26737i −0.0326206 0.226882i
\(540\) −1.18232 10.0008i −0.0508789 0.430367i
\(541\) 9.77877 + 21.4125i 0.420422 + 0.920596i 0.994785 + 0.101995i \(0.0325226\pi\)
−0.574363 + 0.818601i \(0.694750\pi\)
\(542\) 1.38979 0.199821i 0.0596965 0.00858305i
\(543\) 4.87794 7.59022i 0.209332 0.325727i
\(544\) −0.913919 + 0.268351i −0.0391839 + 0.0115054i
\(545\) −13.8456 6.74843i −0.593079 0.289071i
\(546\) 7.02595 8.10838i 0.300683 0.347007i
\(547\) 8.01047 + 12.4645i 0.342503 + 0.532945i 0.969186 0.246329i \(-0.0792244\pi\)
−0.626683 + 0.779274i \(0.715588\pi\)
\(548\) −2.67178 + 2.31511i −0.114133 + 0.0988966i
\(549\) −5.17019 1.51811i −0.220658 0.0647912i
\(550\) −7.35586 12.8190i −0.313655 0.546604i
\(551\) −0.0104818 −0.000446539
\(552\) 7.71259 4.92109i 0.328270 0.209455i
\(553\) 2.58376i 0.109873i
\(554\) −7.27950 + 15.9399i −0.309276 + 0.677221i
\(555\) −8.90005 + 13.1124i −0.377786 + 0.556590i
\(556\) −12.3063 14.2022i −0.521902 0.602308i
\(557\) 6.01408 + 9.35810i 0.254825 + 0.396515i 0.944971 0.327155i \(-0.106090\pi\)
−0.690146 + 0.723670i \(0.742454\pi\)
\(558\) 2.58526 + 2.24014i 0.109443 + 0.0948327i
\(559\) 2.97603 20.6987i 0.125873 0.875463i
\(560\) 6.63127 + 0.166638i 0.280222 + 0.00704175i
\(561\) 4.51841 + 2.90381i 0.190767 + 0.122599i
\(562\) 31.7629 4.56681i 1.33984 0.192639i
\(563\) −12.4961 + 5.70679i −0.526649 + 0.240512i −0.660952 0.750428i \(-0.729848\pi\)
0.134304 + 0.990940i \(0.457120\pi\)
\(564\) 6.39769 + 14.0090i 0.269391 + 0.589885i
\(565\) 4.01842 23.7047i 0.169056 0.997264i
\(566\) 3.04499 + 1.95690i 0.127991 + 0.0822546i
\(567\) −8.78308 29.9124i −0.368855 1.25620i
\(568\) 14.1907 + 2.04032i 0.595429 + 0.0856098i
\(569\) −8.21383 + 9.47926i −0.344342 + 0.397391i −0.901333 0.433127i \(-0.857410\pi\)
0.556991 + 0.830518i \(0.311956\pi\)
\(570\) 0.281298 + 1.05541i 0.0117823 + 0.0442061i
\(571\) −12.6512 14.6003i −0.529436 0.611002i 0.426532 0.904473i \(-0.359735\pi\)
−0.955968 + 0.293471i \(0.905190\pi\)
\(572\) −1.57883 + 5.37699i −0.0660140 + 0.224823i
\(573\) 16.2427 + 7.41781i 0.678550 + 0.309883i
\(574\) −27.8045 −1.16054
\(575\) 11.1137 21.2482i 0.463473 0.886111i
\(576\) 0.639179 0.0266324
\(577\) 5.00558 + 2.28597i 0.208385 + 0.0951663i 0.516873 0.856062i \(-0.327096\pi\)
−0.308488 + 0.951228i \(0.599823\pi\)
\(578\) −4.53385 + 15.4409i −0.188583 + 0.642256i
\(579\) 25.3978 + 29.3107i 1.05550 + 1.21811i
\(580\) 0.0235738 + 0.0884468i 0.000978848 + 0.00367255i
\(581\) 21.9708 25.3557i 0.911504 1.05193i
\(582\) −6.33627 0.911018i −0.262647 0.0377629i
\(583\) −10.5212 35.8319i −0.435743 1.48400i
\(584\) −0.874517 0.562018i −0.0361878 0.0232565i
\(585\) 0.452878 2.67154i 0.0187242 0.110454i
\(586\) −2.82973 6.19625i −0.116895 0.255965i
\(587\) −9.60539 + 4.38663i −0.396457 + 0.181056i −0.603659 0.797242i \(-0.706291\pi\)
0.207203 + 0.978298i \(0.433564\pi\)
\(588\) 3.39941 0.488762i 0.140189 0.0201562i
\(589\) 1.15283 + 0.740882i 0.0475017 + 0.0305275i
\(590\) −12.4776 0.313552i −0.513696 0.0129087i
\(591\) 1.50913 10.4962i 0.0620774 0.431757i
\(592\) 2.80772 + 2.43290i 0.115397 + 0.0999917i
\(593\) −8.27934 12.8829i −0.339992 0.529038i 0.628589 0.777738i \(-0.283633\pi\)
−0.968580 + 0.248700i \(0.919997\pi\)
\(594\) 8.71776 + 10.0608i 0.357694 + 0.412801i
\(595\) −3.54837 + 5.22779i −0.145469 + 0.214319i
\(596\) 6.53477 14.3091i 0.267674 0.586125i
\(597\) 51.8807i 2.12333i
\(598\) −8.73223 + 2.53309i −0.357087 + 0.103586i
\(599\) 5.42374 0.221608 0.110804 0.993842i \(-0.464657\pi\)
0.110804 + 0.993842i \(0.464657\pi\)
\(600\) 8.27302 4.74727i 0.337745 0.193806i
\(601\) 30.5924 + 8.98275i 1.24789 + 0.366414i 0.837975 0.545709i \(-0.183740\pi\)
0.409916 + 0.912123i \(0.365558\pi\)
\(602\) 24.7291 21.4279i 1.00788 0.873334i
\(603\) −1.98594 3.09018i −0.0808737 0.125842i
\(604\) −13.0032 + 15.0065i −0.529094 + 0.610607i
\(605\) −4.54786 2.21666i −0.184897 0.0901200i
\(606\) 0.530135 0.155662i 0.0215352 0.00632332i
\(607\) −23.1899 + 36.0841i −0.941248 + 1.46461i −0.0565743 + 0.998398i \(0.518018\pi\)
−0.884673 + 0.466211i \(0.845619\pi\)
\(608\) 0.253450 0.0364407i 0.0102788 0.00147786i
\(609\) 0.0962348 + 0.210725i 0.00389963 + 0.00853900i
\(610\) 2.21316 + 18.7203i 0.0896081 + 0.757964i
\(611\) −2.17819 15.1496i −0.0881201 0.612889i
\(612\) −0.329152 + 0.512171i −0.0133052 + 0.0207033i
\(613\) 10.6884 + 36.4012i 0.431699 + 1.47023i 0.832479 + 0.554057i \(0.186921\pi\)
−0.400780 + 0.916174i \(0.631261\pi\)
\(614\) −0.483946 + 3.36592i −0.0195305 + 0.135837i
\(615\) −34.1665 + 20.7636i −1.37772 + 0.837267i
\(616\) −7.37678 + 4.74077i −0.297219 + 0.191011i
\(617\) 4.64812 4.02762i 0.187126 0.162146i −0.556260 0.831008i \(-0.687764\pi\)
0.743386 + 0.668863i \(0.233219\pi\)
\(618\) 5.18542 17.6599i 0.208588 0.710386i
\(619\) −4.96800 + 10.8784i −0.199681 + 0.437240i −0.982810 0.184619i \(-0.940895\pi\)
0.783130 + 0.621859i \(0.213622\pi\)
\(620\) 3.65891 11.3940i 0.146945 0.457595i
\(621\) −6.15268 + 20.7039i −0.246898 + 0.830818i
\(622\) 20.0610i 0.804374i
\(623\) −43.8179 20.0110i −1.75553 0.801722i
\(624\) −3.47016 1.01893i −0.138917 0.0407899i
\(625\) 12.6145 21.5841i 0.504579 0.863365i
\(626\) −12.4830 + 8.02235i −0.498922 + 0.320637i
\(627\) −1.09121 0.945536i −0.0435786 0.0377611i
\(628\) −2.09264 0.300877i −0.0835056 0.0120063i
\(629\) −3.39534 + 0.996963i −0.135381 + 0.0397515i
\(630\) 3.27305 2.69517i 0.130401 0.107378i
\(631\) −6.21662 43.2375i −0.247480 1.72126i −0.612682 0.790330i \(-0.709909\pi\)
0.365202 0.930928i \(-0.381000\pi\)
\(632\) −0.792263 + 0.361815i −0.0315145 + 0.0143922i
\(633\) −16.4373 + 7.50665i −0.653323 + 0.298362i
\(634\) 2.52826 + 17.5844i 0.100410 + 0.698367i
\(635\) −2.49754 3.03304i −0.0991119 0.120362i
\(636\) 23.1249 6.79008i 0.916961 0.269244i
\(637\) −3.37838 0.485737i −0.133856 0.0192456i
\(638\) −0.0914469 0.0792392i −0.00362042 0.00313711i
\(639\) 7.70898 4.95426i 0.304962 0.195987i
\(640\) −0.877507 2.05669i −0.0346865 0.0812979i
\(641\) 10.8536 + 3.18690i 0.428691 + 0.125875i 0.488958 0.872307i \(-0.337377\pi\)
−0.0602670 + 0.998182i \(0.519195\pi\)
\(642\) 27.2015 + 12.4225i 1.07356 + 0.490278i
\(643\) 26.3024i 1.03727i −0.854997 0.518634i \(-0.826441\pi\)
0.854997 0.518634i \(-0.173559\pi\)
\(644\) −12.9220 5.95231i −0.509196 0.234554i
\(645\) 14.3857 44.7977i 0.566435 1.76391i
\(646\) −0.101317 + 0.221854i −0.00398628 + 0.00872873i
\(647\) −3.90089 + 13.2852i −0.153360 + 0.522296i −0.999951 0.00994875i \(-0.996833\pi\)
0.846591 + 0.532245i \(0.178651\pi\)
\(648\) −7.94216 + 6.88192i −0.311998 + 0.270347i
\(649\) 13.8804 8.92040i 0.544854 0.350156i
\(650\) −9.21797 + 2.21043i −0.361558 + 0.0867001i
\(651\) 4.31027 29.9786i 0.168933 1.17495i
\(652\) −1.90476 6.48701i −0.0745961 0.254051i
\(653\) 14.2893 22.2347i 0.559185 0.870110i −0.440431 0.897786i \(-0.645175\pi\)
0.999617 + 0.0276767i \(0.00881088\pi\)
\(654\) 1.87009 + 13.0067i 0.0731262 + 0.508604i
\(655\) 11.5409 1.36439i 0.450940 0.0533110i
\(656\) 3.89357 + 8.52573i 0.152018 + 0.332874i
\(657\) −0.657689 + 0.0945614i −0.0256589 + 0.00368919i
\(658\) 12.9478 20.1472i 0.504759 0.785421i
\(659\) −42.4985 + 12.4787i −1.65551 + 0.486100i −0.970231 0.242183i \(-0.922136\pi\)
−0.685276 + 0.728284i \(0.740318\pi\)
\(660\) −5.52441 + 11.3343i −0.215037 + 0.441186i
\(661\) −24.2167 + 27.9476i −0.941921 + 1.08703i 0.0541553 + 0.998533i \(0.482753\pi\)
−0.996076 + 0.0885019i \(0.971792\pi\)
\(662\) 6.08991 + 9.47608i 0.236691 + 0.368298i
\(663\) 2.60346 2.25591i 0.101110 0.0876124i
\(664\) −10.8515 3.18629i −0.421121 0.123652i
\(665\) 1.14419 1.25531i 0.0443697 0.0486787i
\(666\) 2.37464 0.0920156
\(667\) 0.0285732 0.194229i 0.00110636 0.00752058i
\(668\) 18.5286i 0.716894i
\(669\) 2.19625 4.80912i 0.0849119 0.185931i
\(670\) −7.21688 + 10.6326i −0.278812 + 0.410772i
\(671\) −16.3186 18.8327i −0.629973 0.727027i
\(672\) −3.05956 4.76077i −0.118025 0.183651i
\(673\) 20.6317 + 17.8775i 0.795295 + 0.689127i 0.954530 0.298114i \(-0.0963575\pi\)
−0.159236 + 0.987241i \(0.550903\pi\)
\(674\) −3.86586 + 26.8877i −0.148907 + 1.03567i
\(675\) −7.42132 + 21.2602i −0.285647 + 0.818305i
\(676\) −7.91260 5.08512i −0.304331 0.195581i
\(677\) −17.5137 + 2.51809i −0.673106 + 0.0967780i −0.470389 0.882459i \(-0.655886\pi\)
−0.202717 + 0.979237i \(0.564977\pi\)
\(678\) −18.6582 + 8.52090i −0.716562 + 0.327243i
\(679\) 4.13529 + 9.05503i 0.158698 + 0.347500i
\(680\) 2.09990 + 0.355975i 0.0805275 + 0.0136510i
\(681\) 7.85623 + 5.04889i 0.301051 + 0.193474i
\(682\) 4.45689 + 15.1788i 0.170663 + 0.581226i
\(683\) 30.3133 + 4.35840i 1.15991 + 0.166770i 0.695282 0.718737i \(-0.255280\pi\)
0.464626 + 0.885507i \(0.346189\pi\)
\(684\) 0.107178 0.123690i 0.00409807 0.00472942i
\(685\) 7.63844 2.03588i 0.291850 0.0777870i
\(686\) 10.1013 + 11.6575i 0.385668 + 0.445085i
\(687\) 9.87248 33.6226i 0.376659 1.28278i
\(688\) −10.0334 4.58209i −0.382519 0.174690i
\(689\) −23.9520 −0.912499
\(690\) −20.3237 + 2.33547i −0.773708 + 0.0889100i
\(691\) 21.1619 0.805035 0.402517 0.915412i \(-0.368135\pi\)
0.402517 + 0.915412i \(0.368135\pi\)
\(692\) −16.7785 7.66249i −0.637823 0.291284i
\(693\) −1.57906 + 5.37780i −0.0599836 + 0.204286i
\(694\) 11.5974 + 13.3842i 0.440233 + 0.508056i
\(695\) 10.8220 + 40.6032i 0.410502 + 1.54017i
\(696\) 0.0511388 0.0590173i 0.00193841 0.00223704i
\(697\) −8.83667 1.27052i −0.334713 0.0481244i
\(698\) −5.78894 19.7153i −0.219115 0.746236i
\(699\) −34.1937 21.9750i −1.29333 0.831170i
\(700\) −13.1657 6.83160i −0.497618 0.258210i
\(701\) −9.47002 20.7364i −0.357678 0.783205i −0.999861 0.0166540i \(-0.994699\pi\)
0.642184 0.766551i \(-0.278029\pi\)
\(702\) 7.76670 3.54693i 0.293135 0.133870i
\(703\) 0.941605 0.135382i 0.0355133 0.00510604i
\(704\) 2.48667 + 1.59809i 0.0937199 + 0.0602301i
\(705\) 0.865101 34.4262i 0.0325816 1.29657i
\(706\) 3.66005 25.4562i 0.137748 0.958056i
\(707\) −0.649336 0.562653i −0.0244208 0.0211607i
\(708\) 5.75698 + 8.95804i 0.216361 + 0.336664i
\(709\) −12.8245 14.8002i −0.481633 0.555834i 0.461978 0.886891i \(-0.347140\pi\)
−0.943610 + 0.331058i \(0.892594\pi\)
\(710\) −26.5248 18.0037i −0.995457 0.675668i
\(711\) −0.231264 + 0.506398i −0.00867308 + 0.0189914i
\(712\) 16.2382i 0.608551i
\(713\) −16.8712 + 19.3425i −0.631833 + 0.724384i
\(714\) 5.39034 0.201728
\(715\) 8.44130 9.26109i 0.315687 0.346345i
\(716\) −23.6263 6.93731i −0.882956 0.259259i
\(717\) −1.55800 + 1.35002i −0.0581847 + 0.0504174i
\(718\) 0.342380 + 0.532753i 0.0127775 + 0.0198822i
\(719\) 22.8049 26.3183i 0.850481 0.981507i −0.149493 0.988763i \(-0.547764\pi\)
0.999974 + 0.00725573i \(0.00230959\pi\)
\(720\) −1.28476 0.626203i −0.0478803 0.0233372i
\(721\) −27.4622 + 8.06363i −1.02275 + 0.300305i
\(722\) −10.2367 + 15.9287i −0.380972 + 0.592803i
\(723\) −27.6477 + 3.97514i −1.02823 + 0.147837i
\(724\) 1.96475 + 4.30221i 0.0730195 + 0.159890i
\(725\) 0.0392674 0.200875i 0.00145836 0.00746032i
\(726\) 0.614268 + 4.27233i 0.0227976 + 0.158561i
\(727\) 11.1869 17.4071i 0.414898 0.645594i −0.569410 0.822054i \(-0.692828\pi\)
0.984308 + 0.176460i \(0.0564645\pi\)
\(728\) 1.58450 + 5.39630i 0.0587254 + 0.200000i
\(729\) 2.71213 18.8633i 0.100449 0.698639i
\(730\) 1.20719 + 1.98643i 0.0446801 + 0.0735212i
\(731\) 8.83840 5.68010i 0.326900 0.210086i
\(732\) 12.1541 10.5316i 0.449228 0.389258i
\(733\) −2.20751 + 7.51810i −0.0815364 + 0.277688i −0.990162 0.139924i \(-0.955314\pi\)
0.908626 + 0.417611i \(0.137133\pi\)
\(734\) 2.49936 5.47283i 0.0922530 0.202006i
\(735\) −7.31173 2.34798i −0.269697 0.0866066i
\(736\) −0.0156518 + 4.79581i −0.000576934 + 0.176776i
\(737\) 16.9874i 0.625738i
\(738\) 5.44946 + 2.48869i 0.200598 + 0.0916098i
\(739\) −9.88396 2.90219i −0.363587 0.106759i 0.0948358 0.995493i \(-0.469767\pi\)
−0.458423 + 0.888734i \(0.651586\pi\)
\(740\) −3.26007 7.64091i −0.119842 0.280886i
\(741\) −0.779059 + 0.500671i −0.0286194 + 0.0183926i
\(742\) −28.3245 24.5433i −1.03983 0.901015i
\(743\) 25.9834 + 3.73584i 0.953237 + 0.137055i 0.601348 0.798987i \(-0.294630\pi\)
0.351889 + 0.936042i \(0.385539\pi\)
\(744\) −9.79597 + 2.87636i −0.359138 + 0.105452i
\(745\) −27.1537 + 22.3596i −0.994834 + 0.819192i
\(746\) 4.74249 + 32.9848i 0.173635 + 1.20766i
\(747\) −6.57562 + 3.00299i −0.240590 + 0.109874i
\(748\) −2.56108 + 1.16961i −0.0936423 + 0.0427650i
\(749\) −6.61797 46.0290i −0.241815 1.68186i
\(750\) −21.2799 + 1.43704i −0.777030 + 0.0524732i
\(751\) −19.6037 + 5.75615i −0.715347 + 0.210045i −0.619100 0.785312i \(-0.712502\pi\)
−0.0962478 + 0.995357i \(0.530684\pi\)
\(752\) −7.99091 1.14892i −0.291399 0.0418968i
\(753\) −16.1225 13.9702i −0.587536 0.509103i
\(754\) −0.0652878 + 0.0419579i −0.00237764 + 0.00152802i
\(755\) 40.8386 17.4242i 1.48627 0.634131i
\(756\) 12.8190 + 3.76401i 0.466224 + 0.136896i
\(757\) −18.7288 8.55314i −0.680709 0.310869i 0.0448854 0.998992i \(-0.485708\pi\)
−0.725594 + 0.688123i \(0.758435\pi\)
\(758\) 11.8614i 0.430825i
\(759\) 20.4955 17.6427i 0.743940 0.640389i
\(760\) −0.545142 0.175059i −0.0197744 0.00635004i
\(761\) 16.3218 35.7399i 0.591667 1.29557i −0.342763 0.939422i \(-0.611363\pi\)
0.934430 0.356147i \(-0.115910\pi\)
\(762\) −0.944356 + 3.21618i −0.0342104 + 0.116510i
\(763\) 15.4432 13.3816i 0.559081 0.484446i
\(764\) −7.87442 + 5.06058i −0.284887 + 0.183086i
\(765\) 1.16338 0.707005i 0.0420620 0.0255618i
\(766\) 1.93471 13.4562i 0.0699039 0.486192i
\(767\) −2.98145 10.1539i −0.107654 0.366635i
\(768\) −1.03136 + 1.60483i −0.0372160 + 0.0579093i
\(769\) −1.35535 9.42668i −0.0488752 0.339935i −0.999557 0.0297663i \(-0.990524\pi\)
0.950682 0.310168i \(-0.100385\pi\)
\(770\) 19.4720 2.30202i 0.701723 0.0829591i
\(771\) 23.7817 + 52.0747i 0.856478 + 1.87542i
\(772\) −20.1235 + 2.89332i −0.724260 + 0.10