Properties

Label 243.2.i.a.103.26
Level $243$
Weight $2$
Character 243.103
Analytic conductor $1.940$
Analytic rank $0$
Dimension $1404$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 243 = 3^{5} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 243.i (of order \(81\), degree \(54\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.94036476912\)
Analytic rank: \(0\)
Dimension: \(1404\)
Relative dimension: \(26\) over \(\Q(\zeta_{81})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{81}]$

Embedding invariants

Embedding label 103.26
Character \(\chi\) \(=\) 243.103
Dual form 243.2.i.a.151.26

$q$-expansion

\(f(q)\) \(=\) \(q+(2.57987 + 0.718157i) q^{2} +(1.51424 - 0.840877i) q^{3} +(4.42767 + 2.67211i) q^{4} +(-3.51654 + 0.136458i) q^{5} +(4.51043 - 1.08189i) q^{6} +(-3.43073 - 0.536556i) q^{7} +(5.82837 + 6.17771i) q^{8} +(1.58585 - 2.54658i) q^{9} +O(q^{10})\) \(q+(2.57987 + 0.718157i) q^{2} +(1.51424 - 0.840877i) q^{3} +(4.42767 + 2.67211i) q^{4} +(-3.51654 + 0.136458i) q^{5} +(4.51043 - 1.08189i) q^{6} +(-3.43073 - 0.536556i) q^{7} +(5.82837 + 6.17771i) q^{8} +(1.58585 - 2.54658i) q^{9} +(-9.17022 - 2.17338i) q^{10} +(-0.305175 - 2.23427i) q^{11} +(8.95148 + 0.323098i) q^{12} +(-1.63172 + 2.37910i) q^{13} +(-8.46551 - 3.84805i) q^{14} +(-5.21014 + 3.16360i) q^{15} +(5.77961 + 10.9723i) q^{16} +(1.77656 - 0.892221i) q^{17} +(5.92015 - 5.43097i) q^{18} +(0.153093 + 2.62850i) q^{19} +(-15.9347 - 8.79239i) q^{20} +(-5.64612 + 2.07234i) q^{21} +(0.817247 - 5.98331i) q^{22} +(1.99084 - 5.15640i) q^{23} +(14.0203 + 4.45360i) q^{24} +(7.36244 - 0.572254i) q^{25} +(-5.91820 + 4.96596i) q^{26} +(0.260003 - 5.18964i) q^{27} +(-13.7564 - 11.5430i) q^{28} +(3.05917 + 2.18657i) q^{29} +(-15.7135 + 4.42000i) q^{30} +(-5.26689 + 6.03518i) q^{31} +(3.43474 + 15.8565i) q^{32} +(-2.34086 - 3.12661i) q^{33} +(5.22405 - 1.02597i) q^{34} +(12.1375 + 1.41867i) q^{35} +(13.8264 - 7.03784i) q^{36} +(0.347087 + 0.466219i) q^{37} +(-1.49272 + 6.89116i) q^{38} +(-0.470282 + 4.97461i) q^{39} +(-21.3387 - 20.9288i) q^{40} +(0.455952 - 1.77012i) q^{41} +(-16.0546 + 1.29158i) q^{42} +(0.802684 + 0.728397i) q^{43} +(4.61902 - 10.7081i) q^{44} +(-5.22921 + 9.17155i) q^{45} +(8.83921 - 11.8731i) q^{46} +(7.33012 + 8.39939i) q^{47} +(17.9781 + 11.7548i) q^{48} +(4.81625 + 1.54427i) q^{49} +(19.4052 + 3.81105i) q^{50} +(1.93989 - 2.84491i) q^{51} +(-13.5819 + 6.17375i) q^{52} +(0.570971 - 3.23814i) q^{53} +(4.39775 - 13.2019i) q^{54} +(1.37804 + 7.81526i) q^{55} +(-16.6809 - 24.3213i) q^{56} +(2.44207 + 3.85146i) q^{57} +(6.32199 + 7.83804i) q^{58} +(-10.5222 + 4.29880i) q^{59} +(-31.5223 + 0.0853119i) q^{60} +(2.86548 - 1.72933i) q^{61} +(-17.9221 + 11.7876i) q^{62} +(-6.80701 + 7.88572i) q^{63} +(-1.08412 + 18.6136i) q^{64} +(5.41335 - 8.58886i) q^{65} +(-3.79371 - 9.74737i) q^{66} +(-5.67055 + 4.05307i) q^{67} +(10.2501 + 0.796703i) q^{68} +(-1.32129 - 9.48207i) q^{69} +(30.2944 + 12.3766i) q^{70} +(-3.36638 - 11.2445i) q^{71} +(24.9750 - 5.04547i) q^{72} +(5.59498 - 1.32604i) q^{73} +(0.560623 + 1.45205i) q^{74} +(10.6673 - 7.05744i) q^{75} +(-6.34581 + 12.0472i) q^{76} +(-0.151842 + 7.82892i) q^{77} +(-4.78582 + 12.4961i) q^{78} +(-1.57898 + 1.54866i) q^{79} +(-21.8215 - 37.7959i) q^{80} +(-3.97014 - 8.07700i) q^{81} +(2.44752 - 4.23923i) q^{82} +(-3.97987 - 15.4508i) q^{83} +(-30.5367 - 5.91142i) q^{84} +(-6.12558 + 3.37995i) q^{85} +(1.54772 + 2.45562i) q^{86} +(6.47096 + 0.738600i) q^{87} +(12.0240 - 14.9074i) q^{88} +(2.46600 - 8.23703i) q^{89} +(-20.0773 + 19.9060i) q^{90} +(6.87450 - 7.28654i) q^{91} +(22.5932 - 17.5111i) q^{92} +(-2.90049 + 13.5675i) q^{93} +(12.8787 + 26.9335i) q^{94} +(-0.897036 - 9.22234i) q^{95} +(18.5344 + 21.1224i) q^{96} +(4.01124 + 0.155654i) q^{97} +(11.3163 + 7.44284i) q^{98} +(-6.17372 - 2.76608i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1404 q - 54 q^{2} - 54 q^{3} - 54 q^{4} - 54 q^{5} - 54 q^{6} - 54 q^{7} - 54 q^{8} - 54 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1404 q - 54 q^{2} - 54 q^{3} - 54 q^{4} - 54 q^{5} - 54 q^{6} - 54 q^{7} - 54 q^{8} - 54 q^{9} - 54 q^{10} - 54 q^{11} - 54 q^{12} - 54 q^{13} - 54 q^{14} - 54 q^{15} - 54 q^{16} - 54 q^{17} - 54 q^{18} - 54 q^{19} - 54 q^{20} - 54 q^{21} - 54 q^{22} - 54 q^{23} - 54 q^{24} - 54 q^{25} - 54 q^{26} - 54 q^{27} - 54 q^{28} - 54 q^{29} - 54 q^{30} - 54 q^{31} - 54 q^{32} - 54 q^{33} - 54 q^{34} - 54 q^{35} - 54 q^{36} - 54 q^{37} - 54 q^{38} - 54 q^{39} - 54 q^{40} - 54 q^{41} - 54 q^{42} - 54 q^{43} - 54 q^{44} - 54 q^{45} - 54 q^{46} - 54 q^{47} - 54 q^{48} - 54 q^{49} - 54 q^{50} - 54 q^{51} - 54 q^{52} - 54 q^{53} - 54 q^{54} - 54 q^{55} - 54 q^{56} - 54 q^{57} - 54 q^{58} - 54 q^{59} - 54 q^{60} - 54 q^{61} - 54 q^{62} - 54 q^{63} - 54 q^{64} + 54 q^{66} - 54 q^{67} + 135 q^{68} + 54 q^{69} - 54 q^{70} + 54 q^{71} + 270 q^{72} - 54 q^{73} + 162 q^{74} + 81 q^{75} - 54 q^{76} + 162 q^{77} + 162 q^{78} - 54 q^{79} + 351 q^{80} + 54 q^{81} - 27 q^{82} + 54 q^{83} + 324 q^{84} - 54 q^{85} + 162 q^{86} + 162 q^{87} - 54 q^{88} + 81 q^{89} + 162 q^{90} - 54 q^{91} + 270 q^{92} + 54 q^{93} - 54 q^{94} + 54 q^{95} + 135 q^{96} - 54 q^{97} + 54 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{81}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.57987 + 0.718157i 1.82425 + 0.507814i 0.998424 0.0561163i \(-0.0178718\pi\)
0.825823 + 0.563930i \(0.190711\pi\)
\(3\) 1.51424 0.840877i 0.874248 0.485480i
\(4\) 4.42767 + 2.67211i 2.21383 + 1.33606i
\(5\) −3.51654 + 0.136458i −1.57264 + 0.0610257i −0.810248 0.586087i \(-0.800668\pi\)
−0.762395 + 0.647112i \(0.775976\pi\)
\(6\) 4.51043 1.08189i 1.84138 0.441681i
\(7\) −3.43073 0.536556i −1.29669 0.202799i −0.531752 0.846900i \(-0.678466\pi\)
−0.764940 + 0.644101i \(0.777232\pi\)
\(8\) 5.82837 + 6.17771i 2.06064 + 2.18415i
\(9\) 1.58585 2.54658i 0.528618 0.848860i
\(10\) −9.17022 2.17338i −2.89988 0.687284i
\(11\) −0.305175 2.23427i −0.0920136 0.673659i −0.977796 0.209558i \(-0.932797\pi\)
0.885783 0.464100i \(-0.153622\pi\)
\(12\) 8.95148 + 0.323098i 2.58407 + 0.0932703i
\(13\) −1.63172 + 2.37910i −0.452557 + 0.659844i −0.982083 0.188449i \(-0.939654\pi\)
0.529526 + 0.848294i \(0.322370\pi\)
\(14\) −8.46551 3.84805i −2.26250 1.02843i
\(15\) −5.21014 + 3.16360i −1.34525 + 0.816839i
\(16\) 5.77961 + 10.9723i 1.44490 + 2.74308i
\(17\) 1.77656 0.892221i 0.430879 0.216395i −0.220122 0.975472i \(-0.570646\pi\)
0.651001 + 0.759077i \(0.274349\pi\)
\(18\) 5.92015 5.43097i 1.39539 1.28009i
\(19\) 0.153093 + 2.62850i 0.0351219 + 0.603020i 0.969249 + 0.246081i \(0.0791428\pi\)
−0.934127 + 0.356940i \(0.883820\pi\)
\(20\) −15.9347 8.79239i −3.56310 1.96604i
\(21\) −5.64612 + 2.07234i −1.23209 + 0.452222i
\(22\) 0.817247 5.98331i 0.174238 1.27565i
\(23\) 1.99084 5.15640i 0.415118 1.07518i −0.554850 0.831950i \(-0.687224\pi\)
0.969968 0.243232i \(-0.0782077\pi\)
\(24\) 14.0203 + 4.45360i 2.86187 + 0.909088i
\(25\) 7.36244 0.572254i 1.47249 0.114451i
\(26\) −5.91820 + 4.96596i −1.16065 + 0.973904i
\(27\) 0.260003 5.18964i 0.0500376 0.998747i
\(28\) −13.7564 11.5430i −2.59971 2.18142i
\(29\) 3.05917 + 2.18657i 0.568074 + 0.406035i 0.828938 0.559340i \(-0.188946\pi\)
−0.260864 + 0.965376i \(0.584007\pi\)
\(30\) −15.7135 + 4.42000i −2.86887 + 0.806978i
\(31\) −5.26689 + 6.03518i −0.945961 + 1.08395i 0.0504009 + 0.998729i \(0.483950\pi\)
−0.996362 + 0.0852220i \(0.972840\pi\)
\(32\) 3.43474 + 15.8565i 0.607182 + 2.80306i
\(33\) −2.34086 3.12661i −0.407491 0.544274i
\(34\) 5.22405 1.02597i 0.895918 0.175953i
\(35\) 12.1375 + 1.41867i 2.05161 + 0.239799i
\(36\) 13.8264 7.03784i 2.30440 1.17297i
\(37\) 0.347087 + 0.466219i 0.0570608 + 0.0766459i 0.829738 0.558154i \(-0.188490\pi\)
−0.772677 + 0.634800i \(0.781083\pi\)
\(38\) −1.49272 + 6.89116i −0.242151 + 1.11789i
\(39\) −0.470282 + 4.97461i −0.0753054 + 0.796575i
\(40\) −21.3387 20.9288i −3.37394 3.30914i
\(41\) 0.455952 1.77012i 0.0712078 0.276446i −0.922871 0.385110i \(-0.874164\pi\)
0.994078 + 0.108664i \(0.0346574\pi\)
\(42\) −16.0546 + 1.29158i −2.47727 + 0.199295i
\(43\) 0.802684 + 0.728397i 0.122408 + 0.111079i 0.730913 0.682471i \(-0.239095\pi\)
−0.608505 + 0.793550i \(0.708230\pi\)
\(44\) 4.61902 10.7081i 0.696343 1.61430i
\(45\) −5.22921 + 9.17155i −0.779524 + 1.36721i
\(46\) 8.83921 11.8731i 1.30327 1.75060i
\(47\) 7.33012 + 8.39939i 1.06921 + 1.22518i 0.973240 + 0.229792i \(0.0738046\pi\)
0.0959682 + 0.995384i \(0.469405\pi\)
\(48\) 17.9781 + 11.7548i 2.59491 + 1.69666i
\(49\) 4.81625 + 1.54427i 0.688036 + 0.220610i
\(50\) 19.4052 + 3.81105i 2.74430 + 0.538964i
\(51\) 1.93989 2.84491i 0.271639 0.398366i
\(52\) −13.5819 + 6.17375i −1.88348 + 0.856145i
\(53\) 0.570971 3.23814i 0.0784290 0.444793i −0.920153 0.391559i \(-0.871936\pi\)
0.998582 0.0532340i \(-0.0169529\pi\)
\(54\) 4.39775 13.2019i 0.598459 1.79655i
\(55\) 1.37804 + 7.81526i 0.185815 + 1.05381i
\(56\) −16.6809 24.3213i −2.22907 3.25007i
\(57\) 2.44207 + 3.85146i 0.323460 + 0.510138i
\(58\) 6.32199 + 7.83804i 0.830118 + 1.02918i
\(59\) −10.5222 + 4.29880i −1.36988 + 0.559656i −0.939362 0.342928i \(-0.888581\pi\)
−0.430515 + 0.902584i \(0.641668\pi\)
\(60\) −31.5223 + 0.0853119i −4.06951 + 0.0110137i
\(61\) 2.86548 1.72933i 0.366887 0.221418i −0.321256 0.946992i \(-0.604105\pi\)
0.688143 + 0.725575i \(0.258426\pi\)
\(62\) −17.9221 + 11.7876i −2.27611 + 1.49702i
\(63\) −6.80701 + 7.88572i −0.857602 + 0.993507i
\(64\) −1.08412 + 18.6136i −0.135515 + 2.32670i
\(65\) 5.41335 8.58886i 0.671443 1.06532i
\(66\) −3.79371 9.74737i −0.466974 1.19982i
\(67\) −5.67055 + 4.05307i −0.692768 + 0.495161i −0.872537 0.488548i \(-0.837527\pi\)
0.179769 + 0.983709i \(0.442465\pi\)
\(68\) 10.2501 + 0.796703i 1.24301 + 0.0966144i
\(69\) −1.32129 9.48207i −0.159064 1.14151i
\(70\) 30.2944 + 12.3766i 3.62087 + 1.47929i
\(71\) −3.36638 11.2445i −0.399515 1.33447i −0.887172 0.461439i \(-0.847333\pi\)
0.487657 0.873035i \(-0.337852\pi\)
\(72\) 24.9750 5.04547i 2.94333 0.594615i
\(73\) 5.59498 1.32604i 0.654843 0.155201i 0.110254 0.993903i \(-0.464834\pi\)
0.544589 + 0.838703i \(0.316685\pi\)
\(74\) 0.560623 + 1.45205i 0.0651711 + 0.168797i
\(75\) 10.6673 7.05744i 1.23176 0.814923i
\(76\) −6.34581 + 12.0472i −0.727915 + 1.38191i
\(77\) −0.151842 + 7.82892i −0.0173040 + 0.892188i
\(78\) −4.78582 + 12.4961i −0.541887 + 1.41491i
\(79\) −1.57898 + 1.54866i −0.177650 + 0.174238i −0.783602 0.621264i \(-0.786620\pi\)
0.605952 + 0.795501i \(0.292792\pi\)
\(80\) −21.8215 37.7959i −2.43971 4.22571i
\(81\) −3.97014 8.07700i −0.441127 0.897445i
\(82\) 2.44752 4.23923i 0.270283 0.468145i
\(83\) −3.97987 15.4508i −0.436848 1.69595i −0.686100 0.727508i \(-0.740679\pi\)
0.249252 0.968439i \(-0.419815\pi\)
\(84\) −30.5367 5.91142i −3.33183 0.644989i
\(85\) −6.12558 + 3.37995i −0.664413 + 0.366608i
\(86\) 1.54772 + 2.45562i 0.166895 + 0.264797i
\(87\) 6.47096 + 0.738600i 0.693760 + 0.0791863i
\(88\) 12.0240 14.9074i 1.28177 1.58914i
\(89\) 2.46600 8.23703i 0.261396 0.873123i −0.722038 0.691854i \(-0.756794\pi\)
0.983433 0.181269i \(-0.0580206\pi\)
\(90\) −20.0773 + 19.9060i −2.11633 + 2.09828i
\(91\) 6.87450 7.28654i 0.720643 0.763837i
\(92\) 22.5932 17.5111i 2.35551 1.82566i
\(93\) −2.90049 + 13.5675i −0.300767 + 1.40689i
\(94\) 12.8787 + 26.9335i 1.32834 + 2.77798i
\(95\) −0.897036 9.22234i −0.0920340 0.946192i
\(96\) 18.5344 + 21.1224i 1.89166 + 2.15580i
\(97\) 4.01124 + 0.155654i 0.407279 + 0.0158043i 0.241601 0.970376i \(-0.422327\pi\)
0.165678 + 0.986180i \(0.447019\pi\)
\(98\) 11.3163 + 7.44284i 1.14312 + 0.751841i
\(99\) −6.17372 2.76608i −0.620482 0.278001i
\(100\) 34.1276 + 17.1395i 3.41276 + 1.71395i
\(101\) 0.0135561 + 0.698949i 0.00134888 + 0.0695480i 0.999881 + 0.0153944i \(0.00490038\pi\)
−0.998533 + 0.0541536i \(0.982754\pi\)
\(102\) 7.04776 5.94635i 0.697833 0.588777i
\(103\) −4.73288 3.66826i −0.466344 0.361444i 0.352165 0.935938i \(-0.385446\pi\)
−0.818509 + 0.574494i \(0.805199\pi\)
\(104\) −24.2077 + 3.78601i −2.37376 + 0.371249i
\(105\) 19.5720 8.05793i 1.91003 0.786373i
\(106\) 3.79853 7.94395i 0.368946 0.771584i
\(107\) 14.7855 + 5.38148i 1.42937 + 0.520247i 0.936750 0.349999i \(-0.113818\pi\)
0.492617 + 0.870246i \(0.336040\pi\)
\(108\) 15.0185 22.2833i 1.44516 2.14421i
\(109\) −7.14750 + 2.60148i −0.684606 + 0.249176i −0.660824 0.750541i \(-0.729793\pi\)
−0.0237821 + 0.999717i \(0.507571\pi\)
\(110\) −2.05741 + 21.1520i −0.196166 + 2.01677i
\(111\) 0.917606 + 0.414110i 0.0870953 + 0.0393056i
\(112\) −13.9410 40.7441i −1.31730 3.84995i
\(113\) −13.2652 + 12.0375i −1.24788 + 1.13239i −0.261979 + 0.965074i \(0.584375\pi\)
−0.985903 + 0.167319i \(0.946489\pi\)
\(114\) 3.53428 + 11.6901i 0.331015 + 1.09487i
\(115\) −6.29722 + 18.4043i −0.587219 + 1.71621i
\(116\) 7.70226 + 17.8558i 0.715137 + 1.65787i
\(117\) 3.47091 + 7.92821i 0.320886 + 0.732963i
\(118\) −30.2332 + 3.53376i −2.78319 + 0.325309i
\(119\) −6.57361 + 2.10774i −0.602602 + 0.193217i
\(120\) −49.9105 13.7481i −4.55618 1.25502i
\(121\) 5.69824 1.58621i 0.518021 0.144201i
\(122\) 8.63451 2.40358i 0.781732 0.217610i
\(123\) −0.798027 3.06378i −0.0719557 0.276252i
\(124\) −39.4467 + 12.6481i −3.54242 + 1.13583i
\(125\) −8.33528 + 0.974254i −0.745530 + 0.0871400i
\(126\) −23.2244 + 15.4557i −2.06899 + 1.37690i
\(127\) −0.563057 1.30531i −0.0499632 0.115828i 0.891406 0.453205i \(-0.149719\pi\)
−0.941370 + 0.337377i \(0.890460\pi\)
\(128\) −5.65970 + 16.5411i −0.500252 + 1.46204i
\(129\) 1.82795 + 0.428010i 0.160942 + 0.0376842i
\(130\) 20.1339 18.2706i 1.76586 1.60243i
\(131\) −2.22093 6.49092i −0.194044 0.567114i 0.805636 0.592411i \(-0.201824\pi\)
−0.999680 + 0.0252962i \(0.991947\pi\)
\(132\) −2.00987 20.0986i −0.174937 1.74936i
\(133\) 0.885119 9.09982i 0.0767496 0.789054i
\(134\) −17.5400 + 6.38406i −1.51523 + 0.551498i
\(135\) −0.206143 + 18.2851i −0.0177420 + 1.57373i
\(136\) 15.8663 + 5.77487i 1.36053 + 0.495191i
\(137\) −4.48316 + 9.37572i −0.383022 + 0.801022i 0.616881 + 0.787057i \(0.288396\pi\)
−0.999902 + 0.0139655i \(0.995554\pi\)
\(138\) 3.40086 25.4115i 0.289501 2.16317i
\(139\) −12.4487 + 1.94695i −1.05589 + 0.165138i −0.658552 0.752535i \(-0.728831\pi\)
−0.397336 + 0.917673i \(0.630065\pi\)
\(140\) 49.9499 + 38.7141i 4.22154 + 3.27194i
\(141\) 18.1624 + 6.55497i 1.52955 + 0.552028i
\(142\) −0.609525 31.4269i −0.0511502 2.63729i
\(143\) 5.81352 + 2.91966i 0.486151 + 0.244154i
\(144\) 37.1075 + 2.68224i 3.09229 + 0.223520i
\(145\) −11.0561 7.27169i −0.918157 0.603881i
\(146\) 15.3867 + 0.597072i 1.27341 + 0.0494141i
\(147\) 8.59150 1.71148i 0.708615 0.141160i
\(148\) 0.290998 + 2.99172i 0.0239199 + 0.245918i
\(149\) −0.0524588 0.109708i −0.00429759 0.00898765i 0.900007 0.435875i \(-0.143561\pi\)
−0.904305 + 0.426887i \(0.859610\pi\)
\(150\) 32.5887 10.5465i 2.66086 0.861118i
\(151\) 2.39813 1.85869i 0.195157 0.151258i −0.510336 0.859975i \(-0.670479\pi\)
0.705493 + 0.708717i \(0.250726\pi\)
\(152\) −15.3459 + 16.2657i −1.24471 + 1.31932i
\(153\) 0.545247 5.93908i 0.0440806 0.480146i
\(154\) −6.01413 + 20.0886i −0.484632 + 1.61878i
\(155\) 17.6977 21.9417i 1.42151 1.76240i
\(156\) −15.3750 + 20.7693i −1.23098 + 1.66287i
\(157\) 10.3424 + 16.4094i 0.825417 + 1.30961i 0.948359 + 0.317200i \(0.102743\pi\)
−0.122941 + 0.992414i \(0.539233\pi\)
\(158\) −5.18576 + 2.86138i −0.412557 + 0.227639i
\(159\) −1.85829 5.38344i −0.147372 0.426935i
\(160\) −14.2421 55.2913i −1.12594 4.37116i
\(161\) −9.59671 + 16.6220i −0.756326 + 1.31000i
\(162\) −4.44192 23.6888i −0.348990 1.86117i
\(163\) 11.6564 + 20.1895i 0.913001 + 1.58136i 0.809802 + 0.586703i \(0.199575\pi\)
0.103199 + 0.994661i \(0.467092\pi\)
\(164\) 6.74875 6.61913i 0.526989 0.516867i
\(165\) 8.65836 + 10.6754i 0.674052 + 0.831081i
\(166\) 0.828540 42.7193i 0.0643072 3.31566i
\(167\) 9.40517 17.8553i 0.727794 1.38168i −0.188861 0.982004i \(-0.560480\pi\)
0.916655 0.399679i \(-0.130878\pi\)
\(168\) −45.7100 22.8017i −3.52661 1.75919i
\(169\) 1.68468 + 4.36344i 0.129591 + 0.335649i
\(170\) −18.2306 + 4.32073i −1.39822 + 0.331385i
\(171\) 6.93648 + 3.77856i 0.530446 + 0.288953i
\(172\) 1.60766 + 5.36996i 0.122583 + 0.409456i
\(173\) −6.03559 2.46581i −0.458877 0.187472i 0.136961 0.990576i \(-0.456266\pi\)
−0.595838 + 0.803105i \(0.703180\pi\)
\(174\) 16.1638 + 6.55266i 1.22538 + 0.496756i
\(175\) −25.5656 1.98711i −1.93258 0.150212i
\(176\) 22.7513 16.2617i 1.71495 1.22577i
\(177\) −12.3184 + 15.3573i −0.925909 + 1.15433i
\(178\) 12.2775 19.4795i 0.920235 1.46005i
\(179\) 0.101316 1.73952i 0.00757268 0.130018i −0.992403 0.123030i \(-0.960739\pi\)
0.999976 0.00698754i \(-0.00222422\pi\)
\(180\) −47.6606 + 26.6355i −3.55241 + 1.98530i
\(181\) −9.71472 + 6.38947i −0.722090 + 0.474926i −0.856597 0.515987i \(-0.827425\pi\)
0.134507 + 0.990913i \(0.457055\pi\)
\(182\) 22.9682 13.8614i 1.70252 1.02747i
\(183\) 2.88488 5.02813i 0.213256 0.371690i
\(184\) 43.4581 17.7546i 3.20377 1.30888i
\(185\) −1.28416 1.59211i −0.0944136 0.117054i
\(186\) −17.2265 + 32.9195i −1.26311 + 2.41378i
\(187\) −2.53563 3.69703i −0.185423 0.270354i
\(188\) 10.0112 + 56.7766i 0.730145 + 4.14086i
\(189\) −3.67653 + 17.6647i −0.267428 + 1.28492i
\(190\) 4.30885 24.4367i 0.312597 1.77282i
\(191\) −2.81476 + 1.27946i −0.203669 + 0.0925787i −0.513048 0.858360i \(-0.671484\pi\)
0.309379 + 0.950939i \(0.399879\pi\)
\(192\) 14.0101 + 29.0971i 1.01109 + 2.09990i
\(193\) 9.00633 + 1.76879i 0.648290 + 0.127320i 0.506039 0.862511i \(-0.331109\pi\)
0.142251 + 0.989831i \(0.454566\pi\)
\(194\) 10.2367 + 3.28227i 0.734952 + 0.235653i
\(195\) 0.974940 17.5576i 0.0698169 1.25732i
\(196\) 17.1983 + 19.7071i 1.22845 + 1.40765i
\(197\) −2.39351 + 3.21504i −0.170530 + 0.229062i −0.879170 0.476509i \(-0.841902\pi\)
0.708639 + 0.705571i \(0.249309\pi\)
\(198\) −13.9409 11.5698i −0.990739 0.822232i
\(199\) 6.53734 15.1553i 0.463420 1.07433i −0.512989 0.858395i \(-0.671462\pi\)
0.976408 0.215932i \(-0.0692791\pi\)
\(200\) 46.4463 + 42.1477i 3.28425 + 2.98030i
\(201\) −5.17845 + 10.9056i −0.365260 + 0.769219i
\(202\) −0.466982 + 1.81294i −0.0328567 + 0.127558i
\(203\) −9.32197 9.14293i −0.654274 0.641708i
\(204\) 16.1911 7.41270i 1.13360 0.518993i
\(205\) −1.36183 + 6.28689i −0.0951141 + 0.439096i
\(206\) −9.57584 12.8626i −0.667181 0.896179i
\(207\) −9.97400 13.2471i −0.693241 0.920738i
\(208\) −35.5349 4.15344i −2.46391 0.287989i
\(209\) 5.82608 1.14420i 0.402998 0.0791462i
\(210\) 56.2802 6.73266i 3.88370 0.464597i
\(211\) −5.29295 24.4350i −0.364382 1.68217i −0.679941 0.733267i \(-0.737994\pi\)
0.315559 0.948906i \(-0.397808\pi\)
\(212\) 11.1807 12.8117i 0.767897 0.879912i
\(213\) −14.5527 14.1961i −0.997136 0.972704i
\(214\) 34.2799 + 24.5018i 2.34333 + 1.67491i
\(215\) −2.92206 2.45190i −0.199283 0.167218i
\(216\) 33.5755 28.6409i 2.28452 1.94877i
\(217\) 21.3075 17.8791i 1.44644 1.21371i
\(218\) −20.3079 + 1.57846i −1.37543 + 0.106907i
\(219\) 7.35712 6.71263i 0.497148 0.453597i
\(220\) −14.7817 + 38.2857i −0.996584 + 2.58122i
\(221\) −0.776156 + 5.68247i −0.0522099 + 0.382244i
\(222\) 2.06991 + 1.72734i 0.138923 + 0.115931i
\(223\) −8.91346 4.91824i −0.596889 0.329350i 0.155736 0.987799i \(-0.450225\pi\)
−0.752625 + 0.658449i \(0.771213\pi\)
\(224\) −3.27574 56.2423i −0.218870 3.75785i
\(225\) 10.2185 19.6566i 0.681231 1.31044i
\(226\) −42.8673 + 21.5288i −2.85149 + 1.43207i
\(227\) 3.74958 + 7.11840i 0.248868 + 0.472465i 0.977076 0.212892i \(-0.0682883\pi\)
−0.728208 + 0.685357i \(0.759646\pi\)
\(228\) 0.521144 + 23.5785i 0.0345136 + 1.56152i
\(229\) 11.9353 + 5.42525i 0.788706 + 0.358511i 0.767323 0.641261i \(-0.221588\pi\)
0.0213826 + 0.999771i \(0.493193\pi\)
\(230\) −29.4632 + 42.9584i −1.94275 + 2.83260i
\(231\) 6.35323 + 11.9826i 0.418012 + 0.788394i
\(232\) 4.32202 + 31.6428i 0.283755 + 2.07745i
\(233\) −12.6130 2.98934i −0.826306 0.195838i −0.204358 0.978896i \(-0.565511\pi\)
−0.621948 + 0.783058i \(0.713659\pi\)
\(234\) 3.26082 + 22.9464i 0.213167 + 1.50006i
\(235\) −26.9228 28.5365i −1.75625 1.86152i
\(236\) −58.0758 9.08289i −3.78041 0.591246i
\(237\) −1.08873 + 3.67277i −0.0707209 + 0.238572i
\(238\) −18.4728 + 0.716828i −1.19741 + 0.0464651i
\(239\) −12.2967 7.42110i −0.795408 0.480031i 0.0598666 0.998206i \(-0.480932\pi\)
−0.855274 + 0.518175i \(0.826611\pi\)
\(240\) −64.8246 38.8829i −4.18441 2.50988i
\(241\) −0.547763 0.152480i −0.0352845 0.00982212i 0.250485 0.968120i \(-0.419410\pi\)
−0.285770 + 0.958298i \(0.592249\pi\)
\(242\) 15.8399 1.01823
\(243\) −12.8035 8.89213i −0.821346 0.570430i
\(244\) 17.3084 1.10805
\(245\) −17.1472 4.77326i −1.09550 0.304953i
\(246\) 0.141466 8.47728i 0.00901956 0.540492i
\(247\) −6.50329 3.92475i −0.413794 0.249726i
\(248\) −67.9810 + 2.63797i −4.31680 + 0.167511i
\(249\) −19.0187 20.0497i −1.20526 1.27060i
\(250\) −22.2036 3.47259i −1.40428 0.219626i
\(251\) 10.3643 + 10.9855i 0.654189 + 0.693399i 0.966525 0.256572i \(-0.0825931\pi\)
−0.312337 + 0.949972i \(0.601112\pi\)
\(252\) −51.2107 + 16.7263i −3.22597 + 1.05366i
\(253\) −12.1283 2.87447i −0.762503 0.180716i
\(254\) −0.515196 3.77190i −0.0323263 0.236670i
\(255\) −6.43349 + 10.2689i −0.402881 + 0.643065i
\(256\) −5.38877 + 7.85702i −0.336798 + 0.491064i
\(257\) 17.8094 + 8.09537i 1.11092 + 0.504975i 0.883316 0.468778i \(-0.155306\pi\)
0.227605 + 0.973754i \(0.426911\pi\)
\(258\) 4.40850 + 2.41697i 0.274461 + 0.150474i
\(259\) −0.940608 1.78570i −0.0584465 0.110958i
\(260\) 46.9189 23.5636i 2.90979 1.46135i
\(261\) 10.4197 4.32286i 0.644961 0.267578i
\(262\) −1.06823 18.3407i −0.0659952 1.13309i
\(263\) −8.12111 4.48104i −0.500769 0.276313i 0.212552 0.977150i \(-0.431822\pi\)
−0.713321 + 0.700837i \(0.752810\pi\)
\(264\) 5.67194 32.6842i 0.349084 2.01157i
\(265\) −1.56597 + 11.4650i −0.0961970 + 0.704286i
\(266\) 8.81860 22.8407i 0.540703 1.40046i
\(267\) −3.19220 14.5465i −0.195359 0.890228i
\(268\) −35.9376 + 2.79329i −2.19524 + 0.170627i
\(269\) −4.50400 + 3.77930i −0.274614 + 0.230428i −0.769685 0.638424i \(-0.779587\pi\)
0.495071 + 0.868853i \(0.335142\pi\)
\(270\) −13.6634 + 47.0251i −0.831526 + 2.86186i
\(271\) −13.8736 11.6414i −0.842764 0.707163i 0.115420 0.993317i \(-0.463179\pi\)
−0.958184 + 0.286154i \(0.907623\pi\)
\(272\) 20.0575 + 14.3363i 1.21617 + 0.869264i
\(273\) 4.28256 16.8142i 0.259193 1.01764i
\(274\) −18.2992 + 20.9686i −1.10550 + 1.26676i
\(275\) −3.52540 16.2751i −0.212590 0.981424i
\(276\) 19.4869 45.5141i 1.17298 2.73963i
\(277\) −6.91358 + 1.35778i −0.415397 + 0.0815813i −0.396044 0.918231i \(-0.629617\pi\)
−0.0193527 + 0.999813i \(0.506161\pi\)
\(278\) −33.5144 3.91727i −2.01006 0.234942i
\(279\) 7.01657 + 22.9835i 0.420071 + 1.37598i
\(280\) 61.9777 + 83.2504i 3.70387 + 4.97516i
\(281\) −5.69383 + 26.2856i −0.339665 + 1.56807i 0.413666 + 0.910429i \(0.364248\pi\)
−0.753331 + 0.657641i \(0.771554\pi\)
\(282\) 42.1493 + 29.9545i 2.50995 + 1.78376i
\(283\) 8.50564 + 8.34227i 0.505608 + 0.495897i 0.907652 0.419724i \(-0.137873\pi\)
−0.402044 + 0.915620i \(0.631700\pi\)
\(284\) 15.1413 58.7822i 0.898471 3.48808i
\(285\) −9.11318 13.2106i −0.539818 0.782526i
\(286\) 12.9014 + 11.7074i 0.762875 + 0.692272i
\(287\) −2.51401 + 5.82814i −0.148397 + 0.344024i
\(288\) 45.8269 + 16.3993i 2.70037 + 0.966336i
\(289\) −7.79159 + 10.4659i −0.458329 + 0.615643i
\(290\) −23.3011 26.7001i −1.36829 1.56788i
\(291\) 6.20486 3.13726i 0.363736 0.183909i
\(292\) 28.3160 + 9.07917i 1.65707 + 0.531318i
\(293\) 13.9083 + 2.73150i 0.812530 + 0.159576i 0.581684 0.813415i \(-0.302394\pi\)
0.230846 + 0.972990i \(0.425851\pi\)
\(294\) 23.3941 + 1.75465i 1.36437 + 0.102333i
\(295\) 36.4152 16.5527i 2.12017 0.963737i
\(296\) −0.857214 + 4.86150i −0.0498245 + 0.282569i
\(297\) −11.6744 + 1.00283i −0.677419 + 0.0581901i
\(298\) −0.0565493 0.320707i −0.00327581 0.0185781i
\(299\) 9.01911 + 13.1502i 0.521589 + 0.760495i
\(300\) 66.0896 2.74373i 3.81569 0.158409i
\(301\) −2.36296 2.92961i −0.136199 0.168860i
\(302\) 7.52172 3.07296i 0.432826 0.176829i
\(303\) 0.608257 + 1.04698i 0.0349435 + 0.0601473i
\(304\) −27.9560 + 16.8715i −1.60338 + 0.967647i
\(305\) −9.84059 + 6.47226i −0.563471 + 0.370600i
\(306\) 5.67186 14.9305i 0.324239 0.853521i
\(307\) 0.808201 13.8763i 0.0461264 0.791960i −0.893353 0.449355i \(-0.851654\pi\)
0.939480 0.342605i \(-0.111309\pi\)
\(308\) −21.5921 + 34.2581i −1.23032 + 1.95204i
\(309\) −10.2513 1.57486i −0.583174 0.0895906i
\(310\) 61.4153 43.8970i 3.48815 2.49318i
\(311\) −2.68794 0.208923i −0.152419 0.0118470i 0.00105605 0.999999i \(-0.499664\pi\)
−0.153475 + 0.988152i \(0.549047\pi\)
\(312\) −33.4727 + 26.0886i −1.89502 + 1.47698i
\(313\) −11.9006 4.86193i −0.672661 0.274812i 0.0160253 0.999872i \(-0.494899\pi\)
−0.688686 + 0.725059i \(0.741812\pi\)
\(314\) 14.8977 + 49.7617i 0.840725 + 2.80822i
\(315\) 22.8610 28.6593i 1.28807 1.61477i
\(316\) −11.1294 + 2.63772i −0.626078 + 0.148383i
\(317\) 8.91302 + 23.0853i 0.500605 + 1.29660i 0.921107 + 0.389309i \(0.127286\pi\)
−0.420502 + 0.907292i \(0.638146\pi\)
\(318\) −0.927993 15.2231i −0.0520393 0.853672i
\(319\) 3.95180 7.50232i 0.221259 0.420049i
\(320\) 1.27238 65.6034i 0.0711280 3.66734i
\(321\) 26.9139 4.28392i 1.50219 0.239105i
\(322\) −36.6955 + 35.9907i −2.04496 + 2.00568i
\(323\) 2.61719 + 4.53310i 0.145624 + 0.252228i
\(324\) 4.00417 46.3710i 0.222454 2.57616i
\(325\) −10.6520 + 18.4498i −0.590866 + 1.02341i
\(326\) 15.5729 + 60.4575i 0.862501 + 3.34843i
\(327\) −8.63551 + 9.94943i −0.477545 + 0.550205i
\(328\) 13.5927 7.50014i 0.750532 0.414126i
\(329\) −20.6409 32.7490i −1.13797 1.80551i
\(330\) 14.6708 + 33.7593i 0.807603 + 1.85839i
\(331\) −2.68057 + 3.32339i −0.147338 + 0.182670i −0.846656 0.532140i \(-0.821388\pi\)
0.699319 + 0.714810i \(0.253487\pi\)
\(332\) 23.6647 79.0457i 1.29877 4.33820i
\(333\) 1.73769 0.144531i 0.0952250 0.00792024i
\(334\) 37.0871 39.3100i 2.02931 2.15095i
\(335\) 19.3876 15.0265i 1.05926 0.820988i
\(336\) −55.3708 49.9737i −3.02072 2.72629i
\(337\) −4.76025 9.95522i −0.259307 0.542295i 0.730803 0.682589i \(-0.239146\pi\)
−0.990110 + 0.140294i \(0.955195\pi\)
\(338\) 1.21264 + 12.4670i 0.0659587 + 0.678115i
\(339\) −9.96461 + 29.3820i −0.541203 + 1.59581i
\(340\) −36.1537 1.40293i −1.96071 0.0760844i
\(341\) 15.0916 + 9.92588i 0.817254 + 0.537517i
\(342\) 15.1817 + 14.7297i 0.820930 + 0.796490i
\(343\) 6.02689 + 3.02682i 0.325422 + 0.163433i
\(344\) 0.178514 + 9.20411i 0.00962481 + 0.496253i
\(345\) 5.94025 + 33.1638i 0.319813 + 1.78548i
\(346\) −13.8002 10.6960i −0.741904 0.575019i
\(347\) −20.3801 + 3.18739i −1.09406 + 0.171108i −0.675703 0.737174i \(-0.736160\pi\)
−0.418358 + 0.908282i \(0.637394\pi\)
\(348\) 26.6777 + 20.5614i 1.43007 + 1.10221i
\(349\) 13.2299 27.6680i 0.708182 1.48104i −0.161214 0.986919i \(-0.551541\pi\)
0.869396 0.494117i \(-0.164508\pi\)
\(350\) −64.5289 23.4866i −3.44922 1.25541i
\(351\) 11.9224 + 9.08661i 0.636373 + 0.485007i
\(352\) 34.3796 12.5131i 1.83244 0.666953i
\(353\) 1.56304 16.0694i 0.0831921 0.855289i −0.857152 0.515064i \(-0.827768\pi\)
0.940344 0.340225i \(-0.110503\pi\)
\(354\) −42.8089 + 30.7734i −2.27527 + 1.63559i
\(355\) 13.3724 + 39.0823i 0.709732 + 2.07427i
\(356\) 32.9289 29.8814i 1.74523 1.58371i
\(357\) −8.18168 + 8.71923i −0.433021 + 0.461471i
\(358\) 1.51063 4.41499i 0.0798393 0.233339i
\(359\) −5.07277 11.7600i −0.267730 0.620669i 0.730318 0.683107i \(-0.239372\pi\)
−0.998049 + 0.0624379i \(0.980112\pi\)
\(360\) −87.1369 + 21.1506i −4.59252 + 1.11474i
\(361\) 11.9859 1.40095i 0.630838 0.0737344i
\(362\) −29.6514 + 9.50734i −1.55844 + 0.499695i
\(363\) 7.29469 7.19342i 0.382872 0.377557i
\(364\) 49.9085 13.8930i 2.61591 0.728189i
\(365\) −19.4940 + 5.42653i −1.02036 + 0.284038i
\(366\) 11.0536 10.9002i 0.577782 0.569760i
\(367\) 30.2454 9.69781i 1.57880 0.506221i 0.618640 0.785675i \(-0.287684\pi\)
0.960159 + 0.279454i \(0.0901533\pi\)
\(368\) 68.0838 7.95786i 3.54911 0.414832i
\(369\) −3.78467 3.96826i −0.197022 0.206579i
\(370\) −2.16959 5.02968i −0.112792 0.261481i
\(371\) −3.69629 + 10.8028i −0.191902 + 0.560854i
\(372\) −49.0964 + 52.3221i −2.54553 + 2.71277i
\(373\) −19.7351 + 17.9087i −1.02185 + 0.927277i −0.997374 0.0724237i \(-0.976927\pi\)
−0.0244731 + 0.999700i \(0.507791\pi\)
\(374\) −3.88655 11.3589i −0.200969 0.587353i
\(375\) −11.8024 + 8.48420i −0.609473 + 0.438122i
\(376\) −9.16633 + 94.2381i −0.472717 + 4.85996i
\(377\) −10.1938 + 3.71023i −0.525006 + 0.191087i
\(378\) −22.1710 + 42.9325i −1.14036 + 2.20821i
\(379\) −16.8995 6.15091i −0.868068 0.315951i −0.130684 0.991424i \(-0.541717\pi\)
−0.737385 + 0.675473i \(0.763939\pi\)
\(380\) 20.6713 43.2305i 1.06042 2.21768i
\(381\) −1.95021 1.50310i −0.0999123 0.0770059i
\(382\) −8.18057 + 1.27942i −0.418555 + 0.0654607i
\(383\) −12.3584 9.57846i −0.631483 0.489436i 0.245856 0.969306i \(-0.420931\pi\)
−0.877340 + 0.479870i \(0.840684\pi\)
\(384\) 5.33887 + 29.8063i 0.272448 + 1.52105i
\(385\) −0.534359 27.5514i −0.0272335 1.40415i
\(386\) 21.9649 + 11.0312i 1.11799 + 0.561474i
\(387\) 3.12786 0.888969i 0.158998 0.0451888i
\(388\) 17.3445 + 11.4077i 0.880534 + 0.579136i
\(389\) 29.9502 + 1.16220i 1.51854 + 0.0589261i 0.784476 0.620159i \(-0.212932\pi\)
0.734060 + 0.679085i \(0.237623\pi\)
\(390\) 15.1243 44.5962i 0.765850 2.25821i
\(391\) −1.06381 10.9369i −0.0537991 0.553103i
\(392\) 18.5308 + 38.7540i 0.935949 + 1.95737i
\(393\) −8.82109 7.96129i −0.444965 0.401594i
\(394\) −8.48385 + 6.57548i −0.427410 + 0.331268i
\(395\) 5.34123 5.66138i 0.268747 0.284855i
\(396\) −19.9439 28.7441i −1.00222 1.44445i
\(397\) −5.23059 + 17.4714i −0.262516 + 0.876864i 0.720518 + 0.693437i \(0.243904\pi\)
−0.983033 + 0.183427i \(0.941281\pi\)
\(398\) 27.7494 34.4038i 1.39095 1.72451i
\(399\) −6.31154 14.5236i −0.315972 0.727089i
\(400\) 48.8310 + 77.4756i 2.44155 + 3.87378i
\(401\) 2.07598 1.14548i 0.103670 0.0572024i −0.430430 0.902624i \(-0.641638\pi\)
0.534100 + 0.845421i \(0.320651\pi\)
\(402\) −21.1917 + 24.4160i −1.05694 + 1.21776i
\(403\) −5.76425 22.3782i −0.287138 1.11474i
\(404\) −1.80765 + 3.13094i −0.0899338 + 0.155770i
\(405\) 15.0633 + 27.8613i 0.748503 + 1.38444i
\(406\) −17.4835 30.2822i −0.867690 1.50288i
\(407\) 0.935738 0.917765i 0.0463828 0.0454919i
\(408\) 28.8814 4.59708i 1.42984 0.227589i
\(409\) −0.117638 + 6.06536i −0.00581680 + 0.299913i 0.985594 + 0.169128i \(0.0540952\pi\)
−0.991411 + 0.130784i \(0.958250\pi\)
\(410\) −8.02832 + 15.2414i −0.396490 + 0.752719i
\(411\) 1.09525 + 17.9669i 0.0540247 + 0.886241i
\(412\) −11.1536 28.8886i −0.549499 1.42324i
\(413\) 38.4054 9.10225i 1.88981 0.447892i
\(414\) −16.2182 41.3388i −0.797080 2.03169i
\(415\) 16.1037 + 53.7902i 0.790501 + 2.64046i
\(416\) −43.3288 17.7018i −2.12437 0.867900i
\(417\) −17.2133 + 13.4160i −0.842937 + 0.656985i
\(418\) 15.8523 + 1.23214i 0.775360 + 0.0602657i
\(419\) −24.5351 + 17.5366i −1.19862 + 0.856720i −0.992552 0.121819i \(-0.961127\pi\)
−0.206064 + 0.978538i \(0.566066\pi\)
\(420\) 108.190 + 16.6208i 5.27913 + 0.811011i
\(421\) −8.52740 + 13.5296i −0.415600 + 0.659395i −0.986897 0.161349i \(-0.948416\pi\)
0.571297 + 0.820743i \(0.306440\pi\)
\(422\) 3.89301 66.8403i 0.189509 3.25374i
\(423\) 33.0142 5.34655i 1.60521 0.259958i
\(424\) 23.3321 15.3458i 1.13311 0.745257i
\(425\) 12.5692 7.58557i 0.609698 0.367954i
\(426\) −27.3491 47.0754i −1.32507 2.28081i
\(427\) −10.7586 + 4.39536i −0.520643 + 0.212706i
\(428\) 51.0853 + 63.3359i 2.46930 + 3.06145i
\(429\) 11.2582 0.467386i 0.543549 0.0225656i
\(430\) −5.77770 8.42410i −0.278626 0.406246i
\(431\) 1.91990 + 10.8883i 0.0924782 + 0.524470i 0.995491 + 0.0948563i \(0.0302392\pi\)
−0.903013 + 0.429614i \(0.858650\pi\)
\(432\) 58.4451 27.1413i 2.81194 1.30583i
\(433\) 5.97542 33.8883i 0.287160 1.62857i −0.410306 0.911948i \(-0.634578\pi\)
0.697466 0.716618i \(-0.254311\pi\)
\(434\) 67.8106 30.8237i 3.25501 1.47958i
\(435\) −22.8562 1.71430i −1.09587 0.0821945i
\(436\) −38.5982 7.58044i −1.84852 0.363037i
\(437\) 13.8584 + 4.44351i 0.662937 + 0.212562i
\(438\) 23.8012 12.0342i 1.13726 0.575015i
\(439\) −13.2555 15.1891i −0.632650 0.724937i 0.344192 0.938899i \(-0.388153\pi\)
−0.976842 + 0.213963i \(0.931363\pi\)
\(440\) −40.2487 + 54.0634i −1.91878 + 2.57737i
\(441\) 11.5705 9.81599i 0.550975 0.467428i
\(442\) −6.08329 + 14.1027i −0.289353 + 0.670795i
\(443\) 11.7676 + 10.6785i 0.559094 + 0.507351i 0.901836 0.432079i \(-0.142220\pi\)
−0.342742 + 0.939430i \(0.611356\pi\)
\(444\) 2.95631 + 4.28549i 0.140300 + 0.203380i
\(445\) −7.54779 + 29.3023i −0.357799 + 1.38906i
\(446\) −19.4635 19.0897i −0.921625 0.903924i
\(447\) −0.171686 0.122013i −0.00812049 0.00577103i
\(448\) 13.7066 63.2765i 0.647574 2.98953i
\(449\) 9.07259 + 12.1866i 0.428162 + 0.575122i 0.962887 0.269905i \(-0.0869922\pi\)
−0.534725 + 0.845026i \(0.679585\pi\)
\(450\) 40.4788 43.3730i 1.90819 2.04462i
\(451\) −4.09407 0.478528i −0.192782 0.0225330i
\(452\) −90.8993 + 17.8520i −4.27554 + 0.839689i
\(453\) 2.06842 4.83104i 0.0971828 0.226982i
\(454\) 4.56131 + 21.0574i 0.214073 + 0.988271i
\(455\) −23.1801 + 26.5615i −1.08670 + 1.24522i
\(456\) −9.55992 + 37.5341i −0.447684 + 1.75770i
\(457\) 23.9805 + 17.1402i 1.12176 + 0.801786i 0.982090 0.188412i \(-0.0603341\pi\)
0.139670 + 0.990198i \(0.455396\pi\)
\(458\) 26.8953 + 22.5679i 1.25674 + 1.05453i
\(459\) −4.16840 9.45169i −0.194564 0.441167i
\(460\) −77.0604 + 64.6614i −3.59296 + 3.01485i
\(461\) −28.8210 + 2.24014i −1.34233 + 0.104334i −0.728467 0.685081i \(-0.759767\pi\)
−0.613860 + 0.789415i \(0.710384\pi\)
\(462\) 7.78518 + 35.4761i 0.362200 + 1.65050i
\(463\) 3.84725 9.96462i 0.178797 0.463095i −0.814293 0.580454i \(-0.802875\pi\)
0.993090 + 0.117359i \(0.0374429\pi\)
\(464\) −6.31087 + 46.2037i −0.292975 + 2.14495i
\(465\) 8.34830 48.1065i 0.387143 2.23089i
\(466\) −30.3932 16.7702i −1.40794 0.776867i
\(467\) 0.270504 + 4.64438i 0.0125174 + 0.214916i 0.998767 + 0.0496511i \(0.0158109\pi\)
−0.986249 + 0.165265i \(0.947152\pi\)
\(468\) −5.81700 + 44.3781i −0.268891 + 2.05138i
\(469\) 21.6288 10.8624i 0.998725 0.501579i
\(470\) −48.9637 92.9554i −2.25853 4.28771i
\(471\) 29.4593 + 16.1511i 1.35741 + 0.744203i
\(472\) −87.8841 39.9482i −4.04520 1.83877i
\(473\) 1.38248 2.01570i 0.0635664 0.0926821i
\(474\) −5.44642 + 8.69341i −0.250163 + 0.399302i
\(475\) 2.63131 + 19.2646i 0.120733 + 0.883921i
\(476\) −34.7379 8.23304i −1.59221 0.377361i
\(477\) −7.34071 6.58924i −0.336108 0.301700i
\(478\) −26.3944 27.9765i −1.20725 1.27961i
\(479\) −9.57753 1.49790i −0.437609 0.0684407i −0.0681224 0.997677i \(-0.521701\pi\)
−0.369486 + 0.929236i \(0.620466\pi\)
\(480\) −68.0592 71.7485i −3.10646 3.27486i
\(481\) −1.67553 + 0.0650182i −0.0763976 + 0.00296458i
\(482\) −1.30366 0.786760i −0.0593799 0.0358359i
\(483\) −0.554688 + 33.2393i −0.0252392 + 1.51244i
\(484\) 29.4684 + 8.20310i 1.33947 + 0.372868i
\(485\) −14.1269 −0.641469
\(486\) −26.6455 32.1355i −1.20867 1.45770i
\(487\) 30.6732 1.38994 0.694969 0.719040i \(-0.255418\pi\)
0.694969 + 0.719040i \(0.255418\pi\)
\(488\) 27.3844 + 7.62296i 1.23963 + 0.345075i
\(489\) 34.6275 + 20.7702i 1.56591 + 0.939260i
\(490\) −40.8098 24.6288i −1.84360 1.11262i
\(491\) 35.0800 1.36126i 1.58314 0.0614330i 0.767905 0.640564i \(-0.221299\pi\)
0.815235 + 0.579131i \(0.196608\pi\)
\(492\) 4.65337 15.6978i 0.209790 0.707713i
\(493\) 7.38571 + 1.15510i 0.332635 + 0.0520232i
\(494\) −13.9591 14.7958i −0.628048 0.665692i
\(495\) 22.0876 + 8.88456i 0.992762 + 0.399331i
\(496\) −96.6605 22.9089i −4.34018 1.02864i
\(497\) 5.51582 + 40.3830i 0.247418 + 1.81142i
\(498\) −34.6671 65.3840i −1.55347 2.92993i
\(499\) −15.2857 + 22.2871i −0.684283 + 0.997709i 0.314542 + 0.949244i \(0.398149\pi\)
−0.998825 + 0.0484651i \(0.984567\pi\)
\(500\) −39.5092 17.9591i −1.76690 0.803156i
\(501\) −0.772391 34.9458i −0.0345079 1.56126i
\(502\) 18.8493 + 35.7844i 0.841284 + 1.59714i
\(503\) −15.9307 + 8.00071i −0.710316 + 0.356734i −0.766990 0.641659i \(-0.778247\pi\)
0.0566747 + 0.998393i \(0.481950\pi\)
\(504\) −88.3895 + 3.90917i −3.93718 + 0.174128i
\(505\) −0.143047 2.45603i −0.00636553 0.109292i
\(506\) −29.2253 16.1258i −1.29922 0.716881i
\(507\) 6.22013 + 5.19069i 0.276246 + 0.230526i
\(508\) 0.994911 7.28404i 0.0441421 0.323177i
\(509\) 12.4098 32.1422i 0.550055 1.42468i −0.327339 0.944907i \(-0.606152\pi\)
0.877394 0.479771i \(-0.159280\pi\)
\(510\) −23.9723 + 21.8723i −1.06151 + 0.968521i
\(511\) −19.9063 + 1.54724i −0.880605 + 0.0684460i
\(512\) 7.23991 6.07501i 0.319962 0.268480i
\(513\) 13.6808 0.111079i 0.604022 0.00490427i
\(514\) 40.1323 + 33.6750i 1.77016 + 1.48534i
\(515\) 17.1439 + 12.2537i 0.755450 + 0.539963i
\(516\) 6.94986 + 6.77957i 0.305951 + 0.298454i
\(517\) 16.5296 18.9408i 0.726969 0.833014i
\(518\) −1.14424 5.28239i −0.0502749 0.232095i
\(519\) −11.2128 + 1.34136i −0.492186 + 0.0588790i
\(520\) 84.6105 16.6170i 3.71042 0.728702i
\(521\) 1.59725 + 0.186692i 0.0699768 + 0.00817912i 0.151009 0.988532i \(-0.451748\pi\)
−0.0810325 + 0.996711i \(0.525822\pi\)
\(522\) 29.9859 3.66948i 1.31245 0.160609i
\(523\) 25.3488 + 34.0494i 1.10843 + 1.48888i 0.852900 + 0.522074i \(0.174842\pi\)
0.255527 + 0.966802i \(0.417751\pi\)
\(524\) 7.51091 34.6742i 0.328116 1.51475i
\(525\) −40.3834 + 18.4885i −1.76247 + 0.806905i
\(526\) −17.7334 17.3927i −0.773211 0.758360i
\(527\) −3.97222 + 15.4211i −0.173032 + 0.671753i
\(528\) 20.7770 43.7552i 0.904201 1.90420i
\(529\) −5.59247 5.07490i −0.243151 0.220648i
\(530\) −12.2737 + 28.4535i −0.533133 + 1.23594i
\(531\) −5.73945 + 33.6129i −0.249071 + 1.45868i
\(532\) 28.2348 37.9259i 1.22413 1.64429i
\(533\) 3.46730 + 3.97309i 0.150185 + 0.172093i
\(534\) 2.21116 39.8205i 0.0956863 1.72320i
\(535\) −52.7280 16.9066i −2.27963 0.730935i
\(536\) −58.0887 11.4083i −2.50905 0.492762i
\(537\) −1.30931 2.71925i −0.0565008 0.117344i
\(538\) −14.3339 + 6.51555i −0.617978 + 0.280905i
\(539\) 1.98052 11.2321i 0.0853070 0.483800i
\(540\) −49.7724 + 80.4093i −2.14186 + 3.46027i
\(541\) 2.24013 + 12.7044i 0.0963107 + 0.546205i 0.994338 + 0.106265i \(0.0338892\pi\)
−0.898027 + 0.439940i \(0.855000\pi\)
\(542\) −27.4319 39.9967i −1.17830 1.71801i
\(543\) −9.33767 + 17.8441i −0.400718 + 0.765763i
\(544\) 20.2495 + 25.1055i 0.868192 + 1.07639i
\(545\) 24.7794 10.1235i 1.06143 0.433644i
\(546\) 23.1237 40.3029i 0.989603 1.72481i
\(547\) 5.98649 3.61286i 0.255964 0.154475i −0.382912 0.923785i \(-0.625079\pi\)
0.638876 + 0.769310i \(0.279400\pi\)
\(548\) −44.9029 + 29.5331i −1.91816 + 1.26159i
\(549\) 0.140361 10.0396i 0.00599046 0.428481i
\(550\) 2.59296 44.5194i 0.110564 1.89832i
\(551\) −5.27906 + 8.37580i −0.224896 + 0.356821i
\(552\) 50.8766 63.4276i 2.16545 2.69966i
\(553\) 6.24800 4.46581i 0.265692 0.189905i
\(554\) −18.8113 1.46213i −0.799215 0.0621199i
\(555\) −3.28330 1.33102i −0.139368 0.0564986i
\(556\) −60.3214 24.6440i −2.55820 1.04514i
\(557\) −9.55467 31.9148i −0.404844 1.35227i −0.881084 0.472959i \(-0.843186\pi\)
0.476240 0.879315i \(-0.341999\pi\)
\(558\) 1.59614 + 64.3335i 0.0675700 + 2.72345i
\(559\) −3.04268 + 0.721129i −0.128692 + 0.0305005i
\(560\) 54.5838 + 141.376i 2.30659 + 5.97421i
\(561\) −6.94830 3.46605i −0.293357 0.146337i
\(562\) −33.5666 + 63.7246i −1.41592 + 2.68806i
\(563\) −0.796122 + 41.0478i −0.0335525 + 1.72996i 0.484656 + 0.874705i \(0.338945\pi\)
−0.518208 + 0.855255i \(0.673401\pi\)
\(564\) 62.9016 + 77.5552i 2.64863 + 3.26566i
\(565\) 45.0048 44.1404i 1.89337 1.85700i
\(566\) 15.9524 + 27.6304i 0.670530 + 1.16139i
\(567\) 9.28671 + 29.8402i 0.390005 + 1.25317i
\(568\) 49.8447 86.3335i 2.09144 3.62247i
\(569\) −7.25036 28.1476i −0.303951 1.18001i −0.919877 0.392206i \(-0.871712\pi\)
0.615927 0.787803i \(-0.288782\pi\)
\(570\) −14.0236 40.6263i −0.587385 1.70165i
\(571\) 17.1842 9.48182i 0.719135 0.396802i −0.0809266 0.996720i \(-0.525788\pi\)
0.800061 + 0.599918i \(0.204800\pi\)
\(572\) 17.9387 + 28.4617i 0.750055 + 1.19004i
\(573\) −3.18635 + 4.30428i −0.133112 + 0.179814i
\(574\) −10.6714 + 13.2304i −0.445414 + 0.552226i
\(575\) 11.7067 39.1029i 0.488201 1.63071i
\(576\) 45.6818 + 32.2792i 1.90341 + 1.34497i
\(577\) −1.52241 + 1.61366i −0.0633786 + 0.0671774i −0.758287 0.651921i \(-0.773963\pi\)
0.694908 + 0.719098i \(0.255445\pi\)
\(578\) −27.6175 + 21.4052i −1.14874 + 0.890338i
\(579\) 15.1251 4.89485i 0.628577 0.203423i
\(580\) −29.5219 61.7397i −1.22583 2.56360i
\(581\) 5.36363 + 55.1429i 0.222521 + 2.28771i
\(582\) 18.2608 3.63766i 0.756935 0.150786i
\(583\) −7.40913 0.287508i −0.306855 0.0119074i
\(584\) 40.8015 + 26.8356i 1.68838 + 1.11046i
\(585\) −13.2875 27.4062i −0.549369 1.13311i
\(586\) 33.9200 + 17.0352i 1.40122 + 0.703719i
\(587\) 0.00727026 + 0.374853i 0.000300076 + 0.0154718i 0.999932 0.0116548i \(-0.00370994\pi\)
−0.999632 + 0.0271267i \(0.991364\pi\)
\(588\) 42.6136 + 15.3796i 1.75735 + 0.634244i
\(589\) −16.6698 12.9201i −0.686868 0.532363i
\(590\) 105.834 16.5521i 4.35712 0.681441i
\(591\) −0.920896 + 6.88099i −0.0378806 + 0.283046i
\(592\) −3.10947 + 6.50291i −0.127798 + 0.267268i
\(593\) −2.72790 0.992874i −0.112021 0.0407724i 0.285401 0.958408i \(-0.407873\pi\)
−0.397423 + 0.917636i \(0.630095\pi\)
\(594\) −30.8387 5.79690i −1.26533 0.237850i
\(595\) 22.8287 8.30898i 0.935887 0.340635i
\(596\) 0.0608826 0.625927i 0.00249385 0.0256390i
\(597\) −2.84460 28.4458i −0.116422 1.16421i
\(598\) 13.8243 + 40.4030i 0.565317 + 1.65220i
\(599\) −5.40057 + 4.90076i −0.220661 + 0.200240i −0.774838 0.632159i \(-0.782169\pi\)
0.554177 + 0.832399i \(0.313033\pi\)
\(600\) 105.772 + 24.7663i 4.31812 + 1.01108i
\(601\) −5.11858 + 14.9596i −0.208791 + 0.610215i −0.999999 0.00133218i \(-0.999576\pi\)
0.791208 + 0.611547i \(0.209452\pi\)
\(602\) −3.99222 9.25501i −0.162711 0.377206i
\(603\) 1.32880 + 20.8681i 0.0541130 + 0.849814i
\(604\) 15.5848 1.82160i 0.634136 0.0741198i
\(605\) −19.8216 + 6.35554i −0.805863 + 0.258390i
\(606\) 0.817332 + 3.13790i 0.0332018 + 0.127468i
\(607\) 42.1352 11.7291i 1.71021 0.476071i 0.731593 0.681741i \(-0.238777\pi\)
0.978621 + 0.205670i \(0.0659375\pi\)
\(608\) −41.1531 + 11.4557i −1.66898 + 0.464592i
\(609\) −21.8038 6.00597i −0.883534 0.243374i
\(610\) −30.0356 + 9.63052i −1.21611 + 0.389928i
\(611\) −31.9437 + 3.73368i −1.29230 + 0.151049i
\(612\) 18.2841 24.8393i 0.739089 1.00407i
\(613\) −6.48640 15.0372i −0.261983 0.607346i 0.735555 0.677465i \(-0.236921\pi\)
−0.997539 + 0.0701190i \(0.977662\pi\)
\(614\) 12.0504 35.2186i 0.486314 1.42131i
\(615\) 3.22437 + 10.6650i 0.130019 + 0.430054i
\(616\) −49.2498 + 44.6918i −1.98433 + 1.80068i
\(617\) 2.28849 + 6.68838i 0.0921313 + 0.269264i 0.982586 0.185808i \(-0.0594902\pi\)
−0.890455 + 0.455072i \(0.849614\pi\)
\(618\) −25.3160 11.4250i −1.01836 0.459579i
\(619\) 0.587886 6.04400i 0.0236291 0.242929i −0.976049 0.217552i \(-0.930193\pi\)
0.999678 0.0253771i \(-0.00807866\pi\)
\(620\) 136.990 49.8603i 5.50165 2.00244i
\(621\) −26.2422 11.6724i −1.05306 0.468398i
\(622\) −6.78452 2.46936i −0.272034 0.0990124i
\(623\) −12.8798 + 26.9358i −0.516019 + 1.07916i
\(624\) −57.3010 + 23.5912i −2.29388 + 0.944404i
\(625\) −7.30143 + 1.14192i −0.292057 + 0.0456769i
\(626\) −27.2104 21.0897i −1.08755 0.842912i
\(627\) 7.85995 6.63161i 0.313896 0.264841i
\(628\) 1.94515 + 100.292i 0.0776201 + 4.00207i
\(629\) 1.03259 + 0.518587i 0.0411721 + 0.0206774i
\(630\) 79.5604 57.5196i 3.16976 2.29163i
\(631\) −22.1240 14.5512i −0.880743 0.579274i 0.0266090 0.999646i \(-0.491529\pi\)
−0.907352 + 0.420372i \(0.861899\pi\)
\(632\) −18.7701 0.728364i −0.746633 0.0289728i
\(633\) −28.5616 32.5497i −1.13522 1.29374i
\(634\) 6.41560 + 65.9582i 0.254796 + 2.61953i
\(635\) 2.15813 + 4.51334i 0.0856427 + 0.179107i
\(636\) 6.15727 28.8016i 0.244152 1.14206i
\(637\) −11.5327 + 8.93854i −0.456944 + 0.354158i
\(638\) 15.5830 16.5170i 0.616937 0.653915i
\(639\) −33.9735 9.25934i −1.34397 0.366294i
\(640\) 17.6454 58.9397i 0.697495 2.32980i
\(641\) −18.0665 + 22.3989i −0.713584 + 0.884705i −0.997242 0.0742202i \(-0.976353\pi\)
0.283658 + 0.958926i \(0.408452\pi\)
\(642\) 72.5111 + 8.27647i 2.86179 + 0.326646i
\(643\) −18.0533 28.6435i −0.711952 1.12959i −0.985818 0.167821i \(-0.946327\pi\)
0.273865 0.961768i \(-0.411698\pi\)
\(644\) −86.9068 + 47.9532i −3.42461 + 1.88962i
\(645\) −6.48645 1.25568i −0.255404 0.0494422i
\(646\) 3.49653 + 13.5744i 0.137569 + 0.534077i
\(647\) 7.77654 13.4694i 0.305727 0.529535i −0.671696 0.740827i \(-0.734434\pi\)
0.977423 + 0.211292i \(0.0677671\pi\)
\(648\) 26.7579 71.6022i 1.05115 2.81280i
\(649\) 12.8158 + 22.1976i 0.503064 + 0.871333i
\(650\) −40.7306 + 39.9483i −1.59759 + 1.56690i
\(651\) 17.2305 44.9902i 0.675318 1.76330i
\(652\) −2.33786 + 120.540i −0.0915578 + 4.72070i
\(653\) −4.79220 + 9.09776i −0.187533 + 0.356023i −0.960436 0.278502i \(-0.910162\pi\)
0.772903 + 0.634525i \(0.218804\pi\)
\(654\) −29.4238 + 19.4666i −1.15056 + 0.761205i
\(655\) 8.69573 + 22.5225i 0.339770 + 0.880027i
\(656\) 22.0575 5.22772i 0.861200 0.204108i
\(657\) 5.49596 16.3510i 0.214418 0.637912i
\(658\) −29.7320 99.3117i −1.15907 3.87157i
\(659\) −12.4153 5.07221i −0.483631 0.197585i 0.123253 0.992375i \(-0.460667\pi\)
−0.606884 + 0.794790i \(0.707581\pi\)
\(660\) 9.81041 + 70.4033i 0.381870 + 2.74045i
\(661\) 15.2379 + 1.18438i 0.592685 + 0.0460671i 0.370333 0.928899i \(-0.379244\pi\)
0.222352 + 0.974966i \(0.428626\pi\)
\(662\) −9.30225 + 6.64885i −0.361542 + 0.258415i
\(663\) 3.60297 + 9.25728i 0.139928 + 0.359523i
\(664\) 72.2545 114.639i 2.80402 4.44888i
\(665\) −1.87081 + 32.1206i −0.0725470 + 1.24558i
\(666\) 4.58682 + 0.875065i 0.177736 + 0.0339081i
\(667\) 17.3651 11.4212i 0.672380 0.442231i
\(668\) 89.3543 53.9256i 3.45722 2.08644i
\(669\) −17.6328 + 0.0477213i −0.681722 + 0.00184501i
\(670\) 60.8091 24.8432i 2.34926 0.959778i
\(671\) −4.73826 5.87452i −0.182918 0.226783i
\(672\) −52.2531 82.4099i −2.01571 3.17903i
\(673\) 11.5361 + 16.8201i 0.444685 + 0.648366i 0.980626 0.195889i \(-0.0627593\pi\)
−0.535941 + 0.844255i \(0.680043\pi\)
\(674\) −5.13144 29.1018i −0.197656 1.12096i
\(675\) −1.05554 38.3572i −0.0406278 1.47637i
\(676\) −4.20038 + 23.8215i −0.161553 + 0.916212i
\(677\) 13.4120 6.09652i 0.515466 0.234308i −0.139147 0.990272i \(-0.544436\pi\)
0.654614 + 0.755963i \(0.272831\pi\)
\(678\) −46.8084 + 68.6458i −1.79766 + 2.63633i
\(679\) −13.6779 2.68626i −0.524911 0.103089i
\(680\) −56.5826 18.1425i −2.16984 0.695732i
\(681\) 11.6635 + 7.62604i 0.446945 + 0.292230i
\(682\) 31.8060 + 36.4456i 1.21792 + 1.39558i
\(683\) 23.8037 31.9739i 0.910822 1.22345i −0.0634310 0.997986i \(-0.520204\pi\)
0.974253 0.225459i \(-0.0723883\pi\)
\(684\) 20.6157 + 35.2653i 0.788261 + 1.34840i
\(685\) 14.4858 33.5818i 0.553474 1.28310i
\(686\) 13.3749 + 12.1371i 0.510656 + 0.463395i
\(687\) 22.6349 1.82096i 0.863574 0.0694741i
\(688\) −3.35300 + 13.0171i −0.127832 + 0.496274i
\(689\) 6.77220 + 6.64213i 0.258000 + 0.253045i
\(690\) −8.49168 + 89.8244i −0.323273 + 3.41956i
\(691\) −0.264884 + 1.22284i −0.0100766 + 0.0465190i −0.982095 0.188384i \(-0.939675\pi\)
0.972019 + 0.234903i \(0.0754774\pi\)
\(692\) −20.1347 27.0455i −0.765405 1.02812i
\(693\) 19.6962 + 12.8022i 0.748196 + 0.486315i
\(694\) −54.8671 6.41305i −2.08273 0.243436i
\(695\) 43.5108 8.54524i 1.65046 0.324139i
\(696\) 33.1523 + 44.2806i 1.25663 + 1.67845i
\(697\) −0.769309 3.55152i −0.0291396 0.134524i
\(698\) 54.0015 61.8789i 2.04399 2.34215i
\(699\) −21.6128 + 6.07941i −0.817472 + 0.229944i
\(700\) −107.886 77.1124i −4.07771 2.91457i
\(701\) −2.95564 2.48008i −0.111633 0.0936713i 0.585262 0.810844i \(-0.300991\pi\)
−0.696896 + 0.717173i \(0.745436\pi\)
\(702\) 24.2328 + 32.0045i 0.914608 + 1.20793i
\(703\) −1.17232 + 0.983695i −0.0442149 + 0.0371007i
\(704\) 41.9187 3.25818i 1.57987 0.122797i
\(705\) −64.7633 20.5724i −2.43913 0.774801i
\(706\) 15.5728 40.3346i 0.586091 1.51801i
\(707\) 0.328518 2.40518i 0.0123552 0.0904559i
\(708\) −95.5783 + 35.0809i −3.59205 + 1.31842i
\(709\) 7.26991 + 4.01136i 0.273027 + 0.150650i 0.613718 0.789525i \(-0.289673\pi\)
−0.340691 + 0.940175i \(0.610661\pi\)
\(710\) 6.43186 + 110.431i 0.241383 + 4.14439i
\(711\) 1.43974 + 6.47695i 0.0539946 + 0.242905i
\(712\) 65.2588 32.7742i 2.44568 1.22826i
\(713\) 20.6343 + 39.1732i 0.772760 + 1.46705i
\(714\) −27.3695 + 16.6188i −1.02428 + 0.621943i
\(715\) −20.8419 9.47380i −0.779442 0.354300i
\(716\) 5.09679 7.43130i 0.190476 0.277721i
\(717\) −24.8604 0.897321i −0.928429 0.0335111i
\(718\) −4.64158 33.9824i −0.173222 1.26821i
\(719\) 16.2321 + 3.84707i 0.605354 + 0.143472i 0.521852 0.853036i \(-0.325241\pi\)
0.0835020 + 0.996508i \(0.473390\pi\)
\(720\) −130.856 4.36858i −4.87671 0.162807i
\(721\) 14.2690 + 15.1242i 0.531404 + 0.563256i
\(722\) 31.9283 + 4.99350i 1.18825 + 0.185839i
\(723\) −0.957662 + 0.229709i −0.0356158 + 0.00854298i
\(724\) −60.0870 + 2.33165i −2.23311 + 0.0866550i
\(725\) 23.7743 + 14.3478i 0.882954 + 0.532866i
\(726\) 23.9854 13.3194i 0.890182 0.494329i
\(727\) −51.5142 14.3400i −1.91056 0.531840i −0.989965 0.141315i \(-0.954867\pi\)
−0.920592 0.390525i \(-0.872294\pi\)
\(728\) 85.0813 3.15332
\(729\) −26.8648 2.69864i −0.994992 0.0999498i
\(730\) −54.1892 −2.00563
\(731\) 2.07591 + 0.577868i 0.0767802 + 0.0213732i
\(732\) 26.2090 14.5542i 0.968713 0.537939i
\(733\) 20.3675 + 12.2919i 0.752292 + 0.454010i 0.840308 0.542109i \(-0.182374\pi\)
−0.0880168 + 0.996119i \(0.528053\pi\)
\(734\) 84.9940 3.29815i 3.13718 0.121737i
\(735\) −29.9788 + 7.19085i −1.10578 + 0.265239i
\(736\) 88.6005 + 13.8569i 3.26586 + 0.510771i
\(737\) 10.7862 + 11.4327i 0.397313 + 0.421128i
\(738\) −6.91413 12.9556i −0.254513 0.476902i
\(739\) −12.6011 2.98652i −0.463540 0.109861i −0.00779154 0.999970i \(-0.502480\pi\)
−0.455748 + 0.890109i \(0.650628\pi\)
\(740\) −1.43155 10.4808i −0.0526247 0.385281i
\(741\) −13.1478 0.474561i −0.482996 0.0174334i
\(742\) −17.2941 + 25.2154i −0.634886 + 0.925686i
\(743\) 2.51318 + 1.14238i 0.0921997 + 0.0419099i 0.459380 0.888240i \(-0.348072\pi\)
−0.367180 + 0.930150i \(0.619677\pi\)
\(744\) −100.721 + 61.1582i −3.69263 + 2.24217i
\(745\) 0.199444 + 0.378635i 0.00730705 + 0.0138721i
\(746\) −63.7754 + 32.0292i −2.33499 + 1.17267i
\(747\) −45.6582 14.3676i −1.67055 0.525684i
\(748\) −1.34803 23.1447i −0.0492887 0.846255i
\(749\) −47.8375 26.3956i −1.74794 0.964474i
\(750\) −36.5417 + 13.4122i −1.33431 + 0.489744i
\(751\) 2.87073 21.0175i 0.104755 0.766939i −0.861207 0.508254i \(-0.830291\pi\)
0.965962 0.258685i \(-0.0832891\pi\)
\(752\) −49.7955 + 128.974i −1.81585 + 4.70318i
\(753\) 24.9315 + 7.91962i 0.908555 + 0.288607i
\(754\) −28.9632 + 2.25120i −1.05478 + 0.0819838i
\(755\) −8.17949 + 6.86341i −0.297682 + 0.249785i
\(756\) −63.4806 + 68.3895i −2.30877 + 2.48730i
\(757\) 33.2104 + 27.8669i 1.20705 + 1.01284i 0.999400 + 0.0346355i \(0.0110270\pi\)
0.207653 + 0.978202i \(0.433417\pi\)
\(758\) −39.1812 28.0051i −1.42313 1.01719i
\(759\) −20.7823 + 5.84580i −0.754350 + 0.212189i
\(760\) 51.7447 59.2929i 1.87698 2.15078i
\(761\) −7.89806 36.4615i −0.286304 1.32173i −0.863180 0.504896i \(-0.831531\pi\)
0.576876 0.816832i \(-0.304272\pi\)
\(762\) −3.95184 5.27836i −0.143160 0.191215i
\(763\) 25.9169 5.08992i 0.938256 0.184268i
\(764\) −15.8817 1.85630i −0.574579 0.0671586i
\(765\) −1.10695 + 20.9594i −0.0400218 + 0.757789i
\(766\) −25.0042 33.5865i −0.903439 1.21353i
\(767\) 6.94201 32.0479i 0.250661 1.15718i
\(768\) −1.55311 + 16.4287i −0.0560431 + 0.592820i
\(769\) 32.7917 + 32.1619i 1.18250 + 1.15979i 0.983713 + 0.179745i \(0.0575273\pi\)
0.198787 + 0.980043i \(0.436300\pi\)
\(770\) 18.4077 71.4629i 0.663366 2.57534i
\(771\) 33.7750