Properties

Label 483.2.bf.a.10.1
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.1
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.853118 + 2.46492i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-3.77593 - 2.96942i) q^{4} +(-2.73649 + 0.261303i) q^{5} +(-2.58183 + 0.371212i) q^{6} +(0.617353 + 2.57272i) q^{7} +(6.15210 - 3.95371i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.853118 + 2.46492i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-3.77593 - 2.96942i) q^{4} +(-2.73649 + 0.261303i) q^{5} +(-2.58183 + 0.371212i) q^{6} +(0.617353 + 2.57272i) q^{7} +(6.15210 - 3.95371i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(1.69045 - 6.96815i) q^{10} +(-2.34836 + 0.812774i) q^{11} +(0.909098 - 4.71685i) q^{12} +(-1.00320 - 3.41660i) q^{13} +(-6.86823 - 0.673104i) q^{14} +(-1.48619 - 2.31255i) q^{15} +(2.23212 + 9.20093i) q^{16} +(-7.11575 - 2.84872i) q^{17} +(-1.51301 - 2.12473i) q^{18} +(5.43666 - 2.17651i) q^{19} +(11.1087 + 7.13913i) q^{20} +(-2.00383 + 1.72761i) q^{21} -6.48191i q^{22} +(4.52020 + 1.60244i) q^{23} +(6.33325 + 3.65651i) q^{24} +(2.51043 - 0.483846i) q^{25} +(9.27751 + 0.441942i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(5.30841 - 11.5476i) q^{28} +(0.235196 + 1.63583i) q^{29} +(6.96815 - 1.69045i) q^{30} +(2.55030 - 0.121486i) q^{31} +(-10.0241 - 0.957182i) q^{32} +(-1.79850 - 1.71487i) q^{33} +(13.0925 - 15.1095i) q^{34} +(-2.36164 - 6.87889i) q^{35} +(4.60908 - 1.35335i) q^{36} +(-4.95631 - 3.52937i) q^{37} +(0.726818 + 15.2578i) q^{38} +(2.57710 - 2.45726i) q^{39} +(-15.8020 + 12.4268i) q^{40} +(3.66051 + 1.67170i) q^{41} +(-2.54892 - 6.41316i) q^{42} +(-2.78260 + 4.32981i) q^{43} +(11.2807 + 3.90429i) q^{44} +(1.37447 - 2.38065i) q^{45} +(-7.80616 + 9.77487i) q^{46} +(-4.77598 + 2.75742i) q^{47} +(-7.15530 + 6.20010i) q^{48} +(-6.23775 + 3.17655i) q^{49} +(-0.949052 + 6.60080i) q^{50} +(-0.728586 - 7.63009i) q^{51} +(-6.35731 + 15.8798i) q^{52} +(-4.98289 - 5.22591i) q^{53} +(1.19523 - 2.31842i) q^{54} +(6.21386 - 2.83778i) q^{55} +(13.9698 + 13.3868i) q^{56} +(4.42578 + 3.83496i) q^{57} +(-4.23284 - 0.815813i) q^{58} +(-8.25781 - 2.00332i) q^{59} +(-1.25521 + 13.1451i) q^{60} +(-11.7485 - 6.05677i) q^{61} +(-1.87625 + 6.38992i) q^{62} +(-2.45377 - 0.989442i) q^{63} +(3.04495 - 6.66750i) q^{64} +(3.63802 + 9.08734i) q^{65} +(5.76135 - 2.97018i) q^{66} +(-1.56332 - 8.11127i) q^{67} +(18.4095 + 31.8863i) q^{68} +(0.646968 + 4.75199i) q^{69} +(18.9707 + 0.0472543i) q^{70} +(-2.04853 - 2.36412i) q^{71} +(-0.347967 + 7.30473i) q^{72} +(0.00868077 - 0.0110385i) q^{73} +(12.9279 - 9.20595i) q^{74} +(1.58041 + 2.00965i) q^{75} +(-26.9914 - 7.92540i) q^{76} +(-3.54080 - 5.53989i) q^{77} +(3.85839 + 8.44869i) q^{78} +(4.50878 - 4.72868i) q^{79} +(-8.51240 - 24.5950i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-7.24347 + 7.59673i) q^{82} +(4.20881 + 9.21600i) q^{83} +(12.6964 - 0.573109i) q^{84} +(20.2165 + 5.93611i) q^{85} +(-8.29877 - 10.5527i) q^{86} +(-1.34621 + 0.958631i) q^{87} +(-11.2338 + 14.2850i) q^{88} +(0.795638 - 16.7025i) q^{89} +(4.69553 + 5.41893i) q^{90} +(8.17062 - 4.69021i) q^{91} +(-12.3096 - 19.4731i) q^{92} +(1.27659 + 2.21112i) q^{93} +(-2.72234 - 14.1248i) q^{94} +(-14.3086 + 7.37661i) q^{95} +(-3.74251 - 9.34835i) q^{96} +(-3.66682 + 8.02923i) q^{97} +(-2.50841 - 18.0856i) q^{98} +(0.700114 - 2.38437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.853118 + 2.46492i −0.603246 + 1.74296i 0.0638161 + 0.997962i \(0.479673\pi\)
−0.667062 + 0.745002i \(0.732448\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) −3.77593 2.96942i −1.88797 1.48471i
\(5\) −2.73649 + 0.261303i −1.22379 + 0.116858i −0.686875 0.726776i \(-0.741018\pi\)
−0.536919 + 0.843634i \(0.680412\pi\)
\(6\) −2.58183 + 0.371212i −1.05403 + 0.151546i
\(7\) 0.617353 + 2.57272i 0.233338 + 0.972396i
\(8\) 6.15210 3.95371i 2.17510 1.39785i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 1.69045 6.96815i 0.534569 2.20352i
\(11\) −2.34836 + 0.812774i −0.708056 + 0.245061i −0.657277 0.753649i \(-0.728292\pi\)
−0.0507792 + 0.998710i \(0.516170\pi\)
\(12\) 0.909098 4.71685i 0.262434 1.36164i
\(13\) −1.00320 3.41660i −0.278239 0.947595i −0.973471 0.228810i \(-0.926517\pi\)
0.695232 0.718785i \(-0.255301\pi\)
\(14\) −6.86823 0.673104i −1.83561 0.179895i
\(15\) −1.48619 2.31255i −0.383731 0.597098i
\(16\) 2.23212 + 9.20093i 0.558031 + 2.30023i
\(17\) −7.11575 2.84872i −1.72582 0.690916i −0.999995 0.00304018i \(-0.999032\pi\)
−0.725829 0.687876i \(-0.758543\pi\)
\(18\) −1.51301 2.12473i −0.356620 0.500803i
\(19\) 5.43666 2.17651i 1.24726 0.499326i 0.348307 0.937380i \(-0.386757\pi\)
0.898948 + 0.438054i \(0.144332\pi\)
\(20\) 11.1087 + 7.13913i 2.48398 + 1.59636i
\(21\) −2.00383 + 1.72761i −0.437273 + 0.376996i
\(22\) 6.48191i 1.38195i
\(23\) 4.52020 + 1.60244i 0.942526 + 0.334132i
\(24\) 6.33325 + 3.65651i 1.29277 + 0.746381i
\(25\) 2.51043 0.483846i 0.502086 0.0967692i
\(26\) 9.27751 + 0.441942i 1.81947 + 0.0866720i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 5.30841 11.5476i 1.00319 2.18229i
\(29\) 0.235196 + 1.63583i 0.0436749 + 0.303766i 0.999937 + 0.0112533i \(0.00358212\pi\)
−0.956262 + 0.292512i \(0.905509\pi\)
\(30\) 6.96815 1.69045i 1.27220 0.308633i
\(31\) 2.55030 0.121486i 0.458047 0.0218194i 0.182709 0.983167i \(-0.441513\pi\)
0.275338 + 0.961348i \(0.411210\pi\)
\(32\) −10.0241 0.957182i −1.77202 0.169207i
\(33\) −1.79850 1.71487i −0.313079 0.298520i
\(34\) 13.0925 15.1095i 2.24534 2.59126i
\(35\) −2.36164 6.87889i −0.399189 1.16274i
\(36\) 4.60908 1.35335i 0.768179 0.225558i
\(37\) −4.95631 3.52937i −0.814812 0.580225i 0.0948897 0.995488i \(-0.469750\pi\)
−0.909701 + 0.415263i \(0.863690\pi\)
\(38\) 0.726818 + 15.2578i 0.117905 + 2.47514i
\(39\) 2.57710 2.45726i 0.412666 0.393477i
\(40\) −15.8020 + 12.4268i −2.49852 + 1.96486i
\(41\) 3.66051 + 1.67170i 0.571676 + 0.261076i 0.680210 0.733017i \(-0.261888\pi\)
−0.108534 + 0.994093i \(0.534616\pi\)
\(42\) −2.54892 6.41316i −0.393308 0.989572i
\(43\) −2.78260 + 4.32981i −0.424343 + 0.660290i −0.985936 0.167123i \(-0.946552\pi\)
0.561593 + 0.827413i \(0.310189\pi\)
\(44\) 11.2807 + 3.90429i 1.70063 + 0.588593i
\(45\) 1.37447 2.38065i 0.204893 0.354886i
\(46\) −7.80616 + 9.77487i −1.15096 + 1.44123i
\(47\) −4.77598 + 2.75742i −0.696649 + 0.402210i −0.806098 0.591782i \(-0.798425\pi\)
0.109449 + 0.993992i \(0.465091\pi\)
\(48\) −7.15530 + 6.20010i −1.03278 + 0.894908i
\(49\) −6.23775 + 3.17655i −0.891107 + 0.453793i
\(50\) −0.949052 + 6.60080i −0.134216 + 0.933494i
\(51\) −0.728586 7.63009i −0.102022 1.06843i
\(52\) −6.35731 + 15.8798i −0.881600 + 2.20213i
\(53\) −4.98289 5.22591i −0.684453 0.717834i 0.286240 0.958158i \(-0.407595\pi\)
−0.970693 + 0.240325i \(0.922746\pi\)
\(54\) 1.19523 2.31842i 0.162650 0.315497i
\(55\) 6.21386 2.83778i 0.837877 0.382646i
\(56\) 13.9698 + 13.3868i 1.86679 + 1.78888i
\(57\) 4.42578 + 3.83496i 0.586209 + 0.507953i
\(58\) −4.23284 0.815813i −0.555799 0.107122i
\(59\) −8.25781 2.00332i −1.07508 0.260811i −0.341128 0.940017i \(-0.610809\pi\)
−0.733948 + 0.679206i \(0.762324\pi\)
\(60\) −1.25521 + 13.1451i −0.162047 + 1.69703i
\(61\) −11.7485 6.05677i −1.50424 0.775490i −0.507938 0.861394i \(-0.669592\pi\)
−0.996303 + 0.0859031i \(0.972622\pi\)
\(62\) −1.87625 + 6.38992i −0.238284 + 0.811521i
\(63\) −2.45377 0.989442i −0.309146 0.124658i
\(64\) 3.04495 6.66750i 0.380618 0.833438i
\(65\) 3.63802 + 9.08734i 0.451241 + 1.12715i
\(66\) 5.76135 2.97018i 0.709173 0.365604i
\(67\) −1.56332 8.11127i −0.190990 0.990949i −0.943250 0.332083i \(-0.892249\pi\)
0.752260 0.658866i \(-0.228964\pi\)
\(68\) 18.4095 + 31.8863i 2.23248 + 3.86678i
\(69\) 0.646968 + 4.75199i 0.0778858 + 0.572073i
\(70\) 18.9707 + 0.0472543i 2.26743 + 0.00564797i
\(71\) −2.04853 2.36412i −0.243115 0.280570i 0.621058 0.783765i \(-0.286703\pi\)
−0.864173 + 0.503195i \(0.832158\pi\)
\(72\) −0.347967 + 7.30473i −0.0410083 + 0.860871i
\(73\) 0.00868077 0.0110385i 0.00101601 0.00129196i −0.785545 0.618805i \(-0.787617\pi\)
0.786561 + 0.617513i \(0.211860\pi\)
\(74\) 12.9279 9.20595i 1.50284 1.07017i
\(75\) 1.58041 + 2.00965i 0.182490 + 0.232054i
\(76\) −26.9914 7.92540i −3.09613 0.909106i
\(77\) −3.54080 5.53989i −0.403512 0.631329i
\(78\) 3.85839 + 8.44869i 0.436876 + 0.956626i
\(79\) 4.50878 4.72868i 0.507278 0.532018i −0.419436 0.907785i \(-0.637772\pi\)
0.926714 + 0.375767i \(0.122621\pi\)
\(80\) −8.51240 24.5950i −0.951715 2.74980i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −7.24347 + 7.59673i −0.799907 + 0.838918i
\(83\) 4.20881 + 9.21600i 0.461977 + 1.01159i 0.987033 + 0.160520i \(0.0513171\pi\)
−0.525056 + 0.851068i \(0.675956\pi\)
\(84\) 12.6964 0.573109i 1.38529 0.0625313i
\(85\) 20.2165 + 5.93611i 2.19279 + 0.643862i
\(86\) −8.29877 10.5527i −0.894879 1.13793i
\(87\) −1.34621 + 0.958631i −0.144329 + 0.102776i
\(88\) −11.2338 + 14.2850i −1.19753 + 1.52278i
\(89\) 0.795638 16.7025i 0.0843375 1.77046i −0.420543 0.907273i \(-0.638160\pi\)
0.504880 0.863189i \(-0.331537\pi\)
\(90\) 4.69553 + 5.41893i 0.494952 + 0.571205i
\(91\) 8.17062 4.69021i 0.856513 0.491668i
\(92\) −12.3096 19.4731i −1.28337 2.03021i
\(93\) 1.27659 + 2.21112i 0.132377 + 0.229283i
\(94\) −2.72234 14.1248i −0.280788 1.45687i
\(95\) −14.3086 + 7.37661i −1.46803 + 0.756824i
\(96\) −3.74251 9.34835i −0.381969 0.954112i
\(97\) −3.66682 + 8.02923i −0.372310 + 0.815244i 0.627033 + 0.778993i \(0.284269\pi\)
−0.999343 + 0.0362517i \(0.988458\pi\)
\(98\) −2.50841 18.0856i −0.253388 1.82692i
\(99\) 0.700114 2.38437i 0.0703641 0.239638i
\(100\) −10.9160 5.62757i −1.09160 0.562757i
\(101\) 0.653347 6.84216i 0.0650104 0.680820i −0.902955 0.429736i \(-0.858607\pi\)
0.967965 0.251084i \(-0.0807872\pi\)
\(102\) 19.4292 + 4.71346i 1.92377 + 0.466703i
\(103\) 0.364543 + 0.0702599i 0.0359195 + 0.00692292i 0.207179 0.978303i \(-0.433572\pi\)
−0.171260 + 0.985226i \(0.554784\pi\)
\(104\) −19.6801 17.0529i −1.92979 1.67217i
\(105\) 5.03204 5.25119i 0.491076 0.512464i
\(106\) 17.1325 7.82413i 1.66405 0.759947i
\(107\) −4.64059 + 9.00148i −0.448622 + 0.870206i 0.550746 + 0.834673i \(0.314343\pi\)
−0.999369 + 0.0355331i \(0.988687\pi\)
\(108\) 3.31490 + 3.47657i 0.318977 + 0.334533i
\(109\) −6.61743 + 16.5295i −0.633835 + 1.58324i 0.168059 + 0.985777i \(0.446250\pi\)
−0.801894 + 0.597466i \(0.796174\pi\)
\(110\) 1.69374 + 17.7377i 0.161492 + 1.69122i
\(111\) 0.865918 6.02259i 0.0821893 0.571639i
\(112\) −22.2934 + 11.4228i −2.10653 + 1.07936i
\(113\) −13.5270 + 11.7212i −1.27251 + 1.10264i −0.282857 + 0.959162i \(0.591282\pi\)
−0.989654 + 0.143475i \(0.954172\pi\)
\(114\) −13.2286 + 7.63754i −1.23897 + 0.715321i
\(115\) −12.7882 3.20392i −1.19250 0.298767i
\(116\) 3.96938 6.87517i 0.368548 0.638343i
\(117\) 3.36500 + 1.16464i 0.311094 + 0.107671i
\(118\) 11.9829 18.6458i 1.10312 1.71649i
\(119\) 2.93602 20.0655i 0.269144 1.83940i
\(120\) −18.2863 8.35108i −1.66930 0.762346i
\(121\) −3.79241 + 2.98239i −0.344765 + 0.271126i
\(122\) 24.9523 23.7920i 2.25908 2.15403i
\(123\) 0.191478 + 4.01961i 0.0172650 + 0.362436i
\(124\) −9.99048 7.11419i −0.897171 0.638873i
\(125\) 6.44458 1.89230i 0.576421 0.169252i
\(126\) 4.53226 5.20425i 0.403766 0.463632i
\(127\) −10.1145 + 11.6728i −0.897517 + 1.03579i 0.101644 + 0.994821i \(0.467590\pi\)
−0.999160 + 0.0409685i \(0.986956\pi\)
\(128\) −0.738328 0.703995i −0.0652596 0.0622249i
\(129\) −5.12355 0.489240i −0.451104 0.0430752i
\(130\) −25.5033 + 1.21487i −2.23678 + 0.106551i
\(131\) 9.94123 2.41172i 0.868570 0.210713i 0.223377 0.974732i \(-0.428292\pi\)
0.645193 + 0.764019i \(0.276777\pi\)
\(132\) 1.69885 + 11.8157i 0.147866 + 1.02843i
\(133\) 8.95589 + 12.6433i 0.776574 + 1.09631i
\(134\) 21.3273 + 3.06641i 1.84240 + 0.264897i
\(135\) 2.74582 + 0.130800i 0.236323 + 0.0112574i
\(136\) −55.0398 + 10.6081i −4.71963 + 0.909634i
\(137\) −8.73035 5.04047i −0.745884 0.430636i 0.0783208 0.996928i \(-0.475044\pi\)
−0.824205 + 0.566292i \(0.808377\pi\)
\(138\) −12.2652 2.45928i −1.04409 0.209348i
\(139\) 5.02292i 0.426039i −0.977048 0.213019i \(-0.931670\pi\)
0.977048 0.213019i \(-0.0683297\pi\)
\(140\) −11.5090 + 32.9869i −0.972685 + 2.78790i
\(141\) −4.63937 2.98154i −0.390706 0.251091i
\(142\) 7.57502 3.03258i 0.635681 0.254488i
\(143\) 5.13280 + 7.20802i 0.429227 + 0.602765i
\(144\) −8.78962 3.51883i −0.732468 0.293236i
\(145\) −1.07106 4.41496i −0.0889465 0.366643i
\(146\) 0.0198033 + 0.0308146i 0.00163893 + 0.00255023i
\(147\) −5.68173 4.08875i −0.468621 0.337235i
\(148\) 8.23447 + 28.0440i 0.676869 + 2.30521i
\(149\) −0.746116 + 3.87122i −0.0611242 + 0.317142i −0.999602 0.0281960i \(-0.991024\pi\)
0.938478 + 0.345338i \(0.112236\pi\)
\(150\) −6.30191 + 2.18111i −0.514548 + 0.178087i
\(151\) −0.762345 + 3.14243i −0.0620387 + 0.255727i −0.994383 0.105846i \(-0.966245\pi\)
0.932344 + 0.361573i \(0.117760\pi\)
\(152\) 24.8416 34.8851i 2.01492 2.82956i
\(153\) 6.44804 4.14390i 0.521293 0.335015i
\(154\) 16.6761 4.00163i 1.34380 0.322460i
\(155\) −6.94710 + 0.998842i −0.558005 + 0.0802290i
\(156\) −17.0276 + 1.62594i −1.36330 + 0.130179i
\(157\) −5.53171 4.35019i −0.441479 0.347183i 0.372545 0.928014i \(-0.378485\pi\)
−0.814024 + 0.580831i \(0.802728\pi\)
\(158\) 7.80930 + 15.1479i 0.621274 + 1.20510i
\(159\) 2.36168 6.82362i 0.187293 0.541148i
\(160\) 27.6808 2.18836
\(161\) −1.33207 + 12.6185i −0.104982 + 0.994474i
\(162\) 2.60838 0.204934
\(163\) −1.58299 + 4.57374i −0.123989 + 0.358243i −0.989864 0.142017i \(-0.954641\pi\)
0.865875 + 0.500260i \(0.166762\pi\)
\(164\) −8.85786 17.1818i −0.691683 1.34168i
\(165\) 5.36967 + 4.22276i 0.418028 + 0.328741i
\(166\) −26.3073 + 2.51205i −2.04185 + 0.194973i
\(167\) −12.4477 + 1.78971i −0.963231 + 0.138492i −0.605948 0.795504i \(-0.707206\pi\)
−0.357283 + 0.933996i \(0.616297\pi\)
\(168\) −5.49730 + 18.5510i −0.424126 + 1.43124i
\(169\) 0.269553 0.173231i 0.0207348 0.0133255i
\(170\) −31.8792 + 44.7680i −2.44502 + 3.43355i
\(171\) −1.38064 + 5.69107i −0.105580 + 0.435207i
\(172\) 23.3640 8.08634i 1.78149 0.616578i
\(173\) 4.96747 25.7737i 0.377670 1.95954i 0.123734 0.992315i \(-0.460513\pi\)
0.253936 0.967221i \(-0.418275\pi\)
\(174\) −1.21448 4.13613i −0.0920692 0.313559i
\(175\) 2.79462 + 6.15993i 0.211254 + 0.465647i
\(176\) −12.7201 19.7929i −0.958813 1.49194i
\(177\) −2.00332 8.25781i −0.150579 0.620695i
\(178\) 40.4916 + 16.2104i 3.03498 + 1.21502i
\(179\) 11.3985 + 16.0070i 0.851965 + 1.19642i 0.978866 + 0.204502i \(0.0655575\pi\)
−0.126901 + 0.991915i \(0.540503\pi\)
\(180\) −12.2590 + 4.90778i −0.913735 + 0.365804i
\(181\) −1.41364 0.908494i −0.105075 0.0675278i 0.487048 0.873375i \(-0.338074\pi\)
−0.592123 + 0.805847i \(0.701710\pi\)
\(182\) 4.59051 + 24.1413i 0.340271 + 1.78947i
\(183\) 13.2179i 0.977092i
\(184\) 34.1443 8.01319i 2.51715 0.590740i
\(185\) 14.4851 + 8.36297i 1.06497 + 0.614858i
\(186\) −6.53934 + 1.26035i −0.479488 + 0.0924137i
\(187\) 19.0257 + 0.906305i 1.39130 + 0.0662756i
\(188\) 26.2217 + 3.77012i 1.91242 + 0.274964i
\(189\) −0.244933 2.63439i −0.0178163 0.191624i
\(190\) −5.97582 41.5628i −0.433532 3.01528i
\(191\) −5.34978 + 1.29784i −0.387096 + 0.0939086i −0.424584 0.905389i \(-0.639580\pi\)
0.0374877 + 0.999297i \(0.488065\pi\)
\(192\) 7.32159 0.348770i 0.528390 0.0251703i
\(193\) 19.9026 + 1.90047i 1.43262 + 0.136799i 0.782319 0.622878i \(-0.214037\pi\)
0.650301 + 0.759677i \(0.274643\pi\)
\(194\) −16.6632 15.8883i −1.19635 1.14071i
\(195\) −6.41011 + 7.39766i −0.459038 + 0.529758i
\(196\) 32.9858 + 6.52810i 2.35613 + 0.466293i
\(197\) 4.27178 1.25431i 0.304352 0.0893657i −0.125991 0.992031i \(-0.540211\pi\)
0.430342 + 0.902666i \(0.358393\pi\)
\(198\) 5.28001 + 3.75988i 0.375234 + 0.267203i
\(199\) 0.646801 + 13.5780i 0.0458505 + 0.962520i 0.898211 + 0.439565i \(0.144867\pi\)
−0.852360 + 0.522955i \(0.824830\pi\)
\(200\) 13.5314 12.9022i 0.956817 0.912323i
\(201\) 6.49323 5.10633i 0.457997 0.360173i
\(202\) 16.3080 + 7.44762i 1.14743 + 0.524013i
\(203\) −4.06332 + 1.61498i −0.285189 + 0.113349i
\(204\) −19.9059 + 30.9742i −1.39369 + 2.16863i
\(205\) −10.4538 3.61808i −0.730123 0.252698i
\(206\) −0.484184 + 0.838631i −0.0337347 + 0.0584302i
\(207\) −3.92728 + 2.75254i −0.272965 + 0.191315i
\(208\) 29.1966 16.8567i 2.02442 1.16880i
\(209\) −10.9982 + 9.53000i −0.760762 + 0.659204i
\(210\) 8.65087 + 16.8835i 0.596967 + 1.16507i
\(211\) 0.269234 1.87256i 0.0185348 0.128913i −0.978453 0.206469i \(-0.933803\pi\)
0.996988 + 0.0775565i \(0.0247118\pi\)
\(212\) 3.29712 + 34.5290i 0.226447 + 2.37146i
\(213\) 1.16263 2.90411i 0.0796620 0.198986i
\(214\) −18.2290 19.1180i −1.24611 1.30688i
\(215\) 6.48316 12.5756i 0.442148 0.857647i
\(216\) −6.65215 + 3.03794i −0.452622 + 0.206705i
\(217\) 1.88698 + 6.48619i 0.128097 + 0.440311i
\(218\) −35.0986 30.4131i −2.37718 2.05984i
\(219\) 0.0137892 + 0.00265764i 0.000931785 + 0.000179587i
\(220\) −31.8897 7.73635i −2.15000 0.521585i
\(221\) −2.59438 + 27.1695i −0.174517 + 1.82762i
\(222\) 14.1065 + 7.27240i 0.946766 + 0.488092i
\(223\) −0.352389 + 1.20013i −0.0235977 + 0.0803664i −0.970450 0.241302i \(-0.922426\pi\)
0.946852 + 0.321669i \(0.104244\pi\)
\(224\) −3.72583 26.3800i −0.248942 1.76259i
\(225\) −1.06206 + 2.32560i −0.0708043 + 0.155040i
\(226\) −17.3517 43.3425i −1.15422 2.88310i
\(227\) −18.5405 + 9.55827i −1.23057 + 0.634405i −0.945974 0.324242i \(-0.894891\pi\)
−0.284599 + 0.958647i \(0.591861\pi\)
\(228\) −5.32382 27.6226i −0.352578 1.82935i
\(229\) −7.98712 13.8341i −0.527803 0.914182i −0.999475 0.0324079i \(-0.989682\pi\)
0.471671 0.881774i \(-0.343651\pi\)
\(230\) 18.8072 28.7886i 1.24011 1.89826i
\(231\) 3.30156 5.68571i 0.217227 0.374092i
\(232\) 7.91454 + 9.13387i 0.519615 + 0.599668i
\(233\) −0.553334 + 11.6159i −0.0362501 + 0.760984i 0.905434 + 0.424487i \(0.139545\pi\)
−0.941684 + 0.336497i \(0.890758\pi\)
\(234\) −5.74148 + 7.30089i −0.375332 + 0.477274i
\(235\) 12.3489 8.79361i 0.805553 0.573632i
\(236\) 25.2322 + 32.0854i 1.64248 + 2.08858i
\(237\) 6.26906 + 1.84076i 0.407219 + 0.119570i
\(238\) 46.9551 + 24.3553i 3.04365 + 1.57872i
\(239\) −5.17317 11.3277i −0.334625 0.732726i 0.665279 0.746595i \(-0.268312\pi\)
−0.999904 + 0.0138691i \(0.995585\pi\)
\(240\) 17.9603 18.8362i 1.15933 1.21587i
\(241\) −0.219581 0.634439i −0.0141445 0.0408678i 0.937708 0.347425i \(-0.112944\pi\)
−0.951852 + 0.306558i \(0.900823\pi\)
\(242\) −4.11598 11.8923i −0.264585 0.764468i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) 26.3764 + 57.7563i 1.68858 + 3.69747i
\(245\) 16.2395 10.3225i 1.03750 0.659482i
\(246\) −10.0714 2.95723i −0.642128 0.188546i
\(247\) −12.8904 16.3914i −0.820194 1.04296i
\(248\) 15.2093 10.8305i 0.965794 0.687739i
\(249\) −6.26292 + 7.96395i −0.396897 + 0.504695i
\(250\) −0.833616 + 17.4998i −0.0527225 + 1.10678i
\(251\) 6.21479 + 7.17225i 0.392274 + 0.452709i 0.917193 0.398444i \(-0.130450\pi\)
−0.524918 + 0.851153i \(0.675904\pi\)
\(252\) 6.32721 + 11.0224i 0.398577 + 0.694343i
\(253\) −11.9175 0.0892028i −0.749244 0.00560813i
\(254\) −20.1436 34.8897i −1.26392 2.18917i
\(255\) 3.98753 + 20.6893i 0.249709 + 1.29561i
\(256\) 15.3953 7.93683i 0.962207 0.496052i
\(257\) 5.13264 + 12.8207i 0.320165 + 0.799735i 0.997921 + 0.0644474i \(0.0205285\pi\)
−0.677756 + 0.735287i \(0.737047\pi\)
\(258\) 5.57693 12.2118i 0.347205 0.760272i
\(259\) 6.02028 14.9300i 0.374082 0.927708i
\(260\) 13.2473 45.1160i 0.821560 2.79798i
\(261\) −1.46893 0.757288i −0.0909247 0.0468749i
\(262\) −2.53635 + 26.5619i −0.156696 + 1.64100i
\(263\) −6.94493 1.68482i −0.428243 0.103891i 0.0158438 0.999874i \(-0.494957\pi\)
−0.444086 + 0.895984i \(0.646472\pi\)
\(264\) −17.8446 3.43927i −1.09826 0.211673i
\(265\) 15.0012 + 12.9986i 0.921514 + 0.798496i
\(266\) −38.8052 + 11.2893i −2.37930 + 0.692193i
\(267\) 15.2104 6.94634i 0.930859 0.425109i
\(268\) −18.1828 + 35.2697i −1.11069 + 2.15444i
\(269\) −2.28592 2.39740i −0.139375 0.146172i 0.650347 0.759637i \(-0.274624\pi\)
−0.789722 + 0.613465i \(0.789775\pi\)
\(270\) −2.66492 + 6.65665i −0.162182 + 0.405111i
\(271\) 1.56578 + 16.3976i 0.0951144 + 0.996083i 0.909485 + 0.415737i \(0.136476\pi\)
−0.814370 + 0.580345i \(0.802918\pi\)
\(272\) 10.3276 71.8303i 0.626205 4.35535i
\(273\) 7.91282 + 5.11316i 0.478906 + 0.309462i
\(274\) 19.8724 17.2195i 1.20053 1.04027i
\(275\) −5.50213 + 3.17666i −0.331791 + 0.191560i
\(276\) 11.6678 19.8643i 0.702318 1.19569i
\(277\) −5.07668 + 8.79306i −0.305028 + 0.528324i −0.977268 0.212010i \(-0.931999\pi\)
0.672240 + 0.740334i \(0.265332\pi\)
\(278\) 12.3811 + 4.28515i 0.742570 + 0.257006i
\(279\) −1.38036 + 2.14788i −0.0826398 + 0.128590i
\(280\) −41.7262 32.9824i −2.49362 1.97107i
\(281\) 22.3547 + 10.2090i 1.33357 + 0.609020i 0.949350 0.314222i \(-0.101744\pi\)
0.384219 + 0.923242i \(0.374471\pi\)
\(282\) 11.3072 8.89209i 0.673335 0.529516i
\(283\) 6.12425 5.83946i 0.364049 0.347120i −0.485872 0.874030i \(-0.661498\pi\)
0.849921 + 0.526910i \(0.176650\pi\)
\(284\) 0.715001 + 15.0097i 0.0424275 + 0.890662i
\(285\) −13.1132 9.33785i −0.776758 0.553127i
\(286\) −22.1461 + 6.50268i −1.30953 + 0.384512i
\(287\) −2.04098 + 10.4495i −0.120476 + 0.616814i
\(288\) 6.59422 7.61014i 0.388568 0.448432i
\(289\) 30.2153 + 28.8102i 1.77737 + 1.69472i
\(290\) 11.7963 + 1.12641i 0.692701 + 0.0661450i
\(291\) −8.81690 + 0.420001i −0.516856 + 0.0246209i
\(292\) −0.0655560 + 0.0159037i −0.00383637 + 0.000930694i
\(293\) 0.180444 + 1.25501i 0.0105416 + 0.0733187i 0.994413 0.105558i \(-0.0336628\pi\)
−0.983872 + 0.178877i \(0.942754\pi\)
\(294\) 14.9257 10.5168i 0.870482 0.613355i
\(295\) 23.1209 + 3.32428i 1.34615 + 0.193547i
\(296\) −44.4458 2.11721i −2.58336 0.123061i
\(297\) 2.44012 0.470295i 0.141590 0.0272893i
\(298\) −8.90573 5.14172i −0.515895 0.297852i
\(299\) 0.940218 17.0513i 0.0543742 0.986101i
\(300\) 12.2812i 0.709055i
\(301\) −12.8572 4.48582i −0.741078 0.258559i
\(302\) −7.09547 4.55998i −0.408299 0.262398i
\(303\) 6.38093 2.55454i 0.366575 0.146754i
\(304\) 32.1612 + 45.1641i 1.84457 + 2.59034i
\(305\) 33.7323 + 13.5044i 1.93150 + 0.773257i
\(306\) 4.71346 + 19.4292i 0.269451 + 1.11069i
\(307\) −12.8962 20.0668i −0.736024 1.14528i −0.984286 0.176583i \(-0.943496\pi\)
0.248262 0.968693i \(-0.420141\pi\)
\(308\) −3.08046 + 31.4324i −0.175525 + 1.79103i
\(309\) 0.104594 + 0.356214i 0.00595013 + 0.0202643i
\(310\) 3.46463 17.9762i 0.196778 1.02098i
\(311\) 21.1279 7.31242i 1.19805 0.414649i 0.346063 0.938211i \(-0.387518\pi\)
0.851988 + 0.523562i \(0.175397\pi\)
\(312\) 6.13927 25.3064i 0.347568 1.43269i
\(313\) −9.09191 + 12.7678i −0.513905 + 0.721679i −0.987246 0.159201i \(-0.949108\pi\)
0.473341 + 0.880879i \(0.343048\pi\)
\(314\) 15.4421 9.92403i 0.871447 0.560045i
\(315\) 6.97326 + 2.06642i 0.392899 + 0.116429i
\(316\) −31.0663 + 4.46666i −1.74762 + 0.251269i
\(317\) 23.8862 2.28085i 1.34158 0.128105i 0.600556 0.799583i \(-0.294946\pi\)
0.741025 + 0.671477i \(0.234340\pi\)
\(318\) 14.8049 + 11.6427i 0.830218 + 0.652891i
\(319\) −1.88188 3.65034i −0.105365 0.204380i
\(320\) −6.59022 + 19.0412i −0.368404 + 1.06443i
\(321\) −10.1273 −0.565249
\(322\) −29.9671 14.0485i −1.67000 0.782892i
\(323\) −44.8862 −2.49754
\(324\) −1.57112 + 4.53946i −0.0872846 + 0.252192i
\(325\) −4.17159 8.09175i −0.231398 0.448849i
\(326\) −9.92345 7.80389i −0.549609 0.432218i
\(327\) −17.7243 + 1.69247i −0.980157 + 0.0935937i
\(328\) 29.1293 4.18816i 1.60839 0.231252i
\(329\) −10.0425 10.5850i −0.553662 0.583568i
\(330\) −14.9897 + 9.63332i −0.825158 + 0.530297i
\(331\) −15.0925 + 21.1944i −0.829559 + 1.16495i 0.154655 + 0.987969i \(0.450573\pi\)
−0.984214 + 0.176984i \(0.943366\pi\)
\(332\) 11.4741 47.2967i 0.629721 2.59574i
\(333\) 5.74988 1.99005i 0.315091 0.109054i
\(334\) 6.20786 32.2094i 0.339679 1.76242i
\(335\) 6.39750 + 21.7879i 0.349533 + 1.19040i
\(336\) −20.3685 14.5809i −1.11119 0.795454i
\(337\) 18.8663 + 29.3565i 1.02771 + 1.59915i 0.775367 + 0.631510i \(0.217565\pi\)
0.252343 + 0.967638i \(0.418799\pi\)
\(338\) 0.197041 + 0.812214i 0.0107176 + 0.0441786i
\(339\) −16.6166 6.65230i −0.902492 0.361303i
\(340\) −58.7094 82.4458i −3.18396 4.47125i
\(341\) −5.89026 + 2.35810i −0.318975 + 0.127699i
\(342\) −12.8502 8.25833i −0.694860 0.446559i
\(343\) −12.0233 14.0869i −0.649195 0.760622i
\(344\) 37.6390i 2.02936i
\(345\) −3.01213 12.8347i −0.162167 0.690997i
\(346\) 59.2923 + 34.2324i 3.18757 + 1.84035i
\(347\) 7.74376 1.49249i 0.415707 0.0801210i 0.0228909 0.999738i \(-0.492713\pi\)
0.392816 + 0.919617i \(0.371501\pi\)
\(348\) 7.92977 + 0.377741i 0.425080 + 0.0202491i
\(349\) 16.3878 + 2.35621i 0.877217 + 0.126125i 0.566189 0.824276i \(-0.308417\pi\)
0.311029 + 0.950401i \(0.399327\pi\)
\(350\) −17.5679 + 1.63338i −0.939043 + 0.0873079i
\(351\) 0.506760 + 3.52460i 0.0270489 + 0.188129i
\(352\) 24.3180 5.89949i 1.29616 0.314444i
\(353\) −6.02810 + 0.287154i −0.320843 + 0.0152837i −0.207386 0.978259i \(-0.566496\pi\)
−0.113457 + 0.993543i \(0.536193\pi\)
\(354\) 22.0640 + 2.10685i 1.17269 + 0.111978i
\(355\) 6.22351 + 5.93411i 0.330310 + 0.314950i
\(356\) −52.6011 + 60.7049i −2.78785 + 3.21735i
\(357\) 19.1803 6.58491i 1.01513 0.348510i
\(358\) −49.1802 + 14.4406i −2.59926 + 0.763211i
\(359\) −29.9885 21.3547i −1.58273 1.12706i −0.928847 0.370463i \(-0.879199\pi\)
−0.653884 0.756595i \(-0.726862\pi\)
\(360\) −0.956538 20.0802i −0.0504140 1.05832i
\(361\) 11.0692 10.5544i 0.582587 0.555495i
\(362\) 3.44537 2.70947i 0.181085 0.142407i
\(363\) −4.38863 2.00422i −0.230343 0.105194i
\(364\) −44.7789 6.55212i −2.34705 0.343425i
\(365\) −0.0208704 + 0.0324750i −0.00109241 + 0.00169982i
\(366\) 32.5810 + 11.2764i 1.70304 + 0.589427i
\(367\) −0.978011 + 1.69396i −0.0510518 + 0.0884242i −0.890422 0.455136i \(-0.849591\pi\)
0.839370 + 0.543560i \(0.182924\pi\)
\(368\) −4.65432 + 45.1669i −0.242623 + 2.35449i
\(369\) −3.48503 + 2.01209i −0.181424 + 0.104745i
\(370\) −32.9716 + 28.5700i −1.71411 + 1.48529i
\(371\) 10.3686 16.0458i 0.538310 0.833057i
\(372\) 1.74544 12.1398i 0.0904968 0.629419i
\(373\) 1.19143 + 12.4772i 0.0616897 + 0.646044i 0.972451 + 0.233109i \(0.0748900\pi\)
−0.910761 + 0.412934i \(0.864504\pi\)
\(374\) −18.4651 + 46.1237i −0.954809 + 2.38500i
\(375\) 4.63502 + 4.86107i 0.239351 + 0.251025i
\(376\) −18.4803 + 35.8468i −0.953048 + 1.84866i
\(377\) 5.35302 2.44464i 0.275695 0.125905i
\(378\) 6.70253 + 1.64370i 0.344741 + 0.0845430i
\(379\) −13.6040 11.7879i −0.698789 0.605504i 0.231281 0.972887i \(-0.425708\pi\)
−0.930070 + 0.367383i \(0.880254\pi\)
\(380\) 75.9326 + 14.6348i 3.89526 + 0.750750i
\(381\) −15.0099 3.64136i −0.768980 0.186552i
\(382\) 1.36491 14.2940i 0.0698350 0.731345i
\(383\) −4.61415 2.37876i −0.235772 0.121549i 0.336292 0.941758i \(-0.390827\pi\)
−0.572065 + 0.820209i \(0.693857\pi\)
\(384\) 0.287414 0.978842i 0.0146670 0.0499513i
\(385\) 11.1369 + 14.2346i 0.567591 + 0.725462i
\(386\) −21.6638 + 47.4370i −1.10266 + 2.41448i
\(387\) −1.91289 4.77818i −0.0972378 0.242888i
\(388\) 37.6879 19.4294i 1.91331 0.986380i
\(389\) 0.349227 + 1.81196i 0.0177065 + 0.0918700i 0.989707 0.143109i \(-0.0457100\pi\)
−0.972000 + 0.234979i \(0.924498\pi\)
\(390\) −12.7661 22.1115i −0.646436 1.11966i
\(391\) −27.5997 24.2793i −1.39578 1.22786i
\(392\) −25.8161 + 44.2047i −1.30391 + 2.23268i
\(393\) 6.69896 + 7.73101i 0.337918 + 0.389978i
\(394\) −0.552561 + 11.5997i −0.0278376 + 0.584384i
\(395\) −11.1026 + 14.1181i −0.558633 + 0.710359i
\(396\) −9.72379 + 6.92428i −0.488639 + 0.347958i
\(397\) −6.31925 8.03558i −0.317154 0.403294i 0.601172 0.799120i \(-0.294701\pi\)
−0.918326 + 0.395826i \(0.870458\pi\)
\(398\) −34.0206 9.98934i −1.70530 0.500720i
\(399\) −7.13401 + 13.7538i −0.357147 + 0.688552i
\(400\) 10.0554 + 22.0183i 0.502771 + 1.10092i
\(401\) −6.89579 + 7.23210i −0.344359 + 0.361154i −0.873024 0.487677i \(-0.837844\pi\)
0.528665 + 0.848831i \(0.322693\pi\)
\(402\) 7.04722 + 20.3616i 0.351484 + 1.01555i
\(403\) −2.97354 8.59147i −0.148122 0.427971i
\(404\) −22.7843 + 23.8954i −1.13356 + 1.18884i
\(405\) 1.14195 + 2.50052i 0.0567439 + 0.124252i
\(406\) −0.514300 11.3935i −0.0255243 0.565452i
\(407\) 14.5077 + 4.25986i 0.719122 + 0.211153i
\(408\) −34.6495 44.0605i −1.71541 2.18132i
\(409\) −3.38154 + 2.40798i −0.167206 + 0.119067i −0.660597 0.750741i \(-0.729697\pi\)
0.493391 + 0.869808i \(0.335757\pi\)
\(410\) 17.8366 22.6811i 0.880887 1.12014i
\(411\) 0.479670 10.0695i 0.0236604 0.496693i
\(412\) −1.16786 1.34778i −0.0575362 0.0664004i
\(413\) 0.0560001 22.4818i 0.00275559 1.10626i
\(414\) −3.43436 12.0287i −0.168789 0.591178i
\(415\) −13.9255 24.1197i −0.683576 1.18399i
\(416\) 6.78588 + 35.2085i 0.332705 + 1.72624i
\(417\) 4.46455 2.30164i 0.218630 0.112712i
\(418\) −14.1079 35.2400i −0.690042 1.72364i
\(419\) 9.58149 20.9805i 0.468086 1.02497i −0.517483 0.855694i \(-0.673131\pi\)
0.985569 0.169273i \(-0.0541419\pi\)
\(420\) −34.5936 + 4.88590i −1.68800 + 0.238407i
\(421\) 5.58761 19.0297i 0.272324 0.927449i −0.703830 0.710368i \(-0.748528\pi\)
0.976154 0.217081i \(-0.0696534\pi\)
\(422\) 4.38603 + 2.26116i 0.213509 + 0.110071i
\(423\) 0.524218 5.48986i 0.0254884 0.266926i
\(424\) −51.3170 12.4494i −2.49217 0.604595i
\(425\) −19.2420 3.70858i −0.933372 0.179893i
\(426\) 6.16654 + 5.34334i 0.298770 + 0.258886i
\(427\) 8.32939 33.9647i 0.403088 1.64367i
\(428\) 44.2517 20.2091i 2.13899 0.976843i
\(429\) −4.05475 + 7.86512i −0.195765 + 0.379732i
\(430\) 25.4669 + 26.7089i 1.22812 + 1.28802i
\(431\) 9.55914 23.8776i 0.460447 1.15014i −0.498584 0.866842i \(-0.666146\pi\)
0.959031 0.283300i \(-0.0914294\pi\)
\(432\) −0.899973 9.42495i −0.0433000 0.453458i
\(433\) −2.56979 + 17.8733i −0.123496 + 0.858936i 0.830050 + 0.557689i \(0.188312\pi\)
−0.953546 + 0.301247i \(0.902597\pi\)
\(434\) −17.5978 0.882225i −0.844720 0.0423481i
\(435\) 3.43339 2.97505i 0.164618 0.142643i
\(436\) 74.0702 42.7644i 3.54732 2.04805i
\(437\) 28.0625 1.12633i 1.34241 0.0538797i
\(438\) −0.0183147 + 0.0317220i −0.000875109 + 0.00151573i
\(439\) 23.0009 + 7.96069i 1.09777 + 0.379943i 0.815128 0.579281i \(-0.196667\pi\)
0.282646 + 0.959224i \(0.408788\pi\)
\(440\) 27.0085 42.0261i 1.28758 2.00352i
\(441\) 1.03071 6.92370i 0.0490814 0.329700i
\(442\) −64.7575 29.5738i −3.08020 1.40668i
\(443\) −0.907785 + 0.713890i −0.0431302 + 0.0339180i −0.639491 0.768798i \(-0.720855\pi\)
0.596361 + 0.802716i \(0.296613\pi\)
\(444\) −21.1533 + 20.1696i −1.00389 + 0.957207i
\(445\) 2.18716 + 45.9141i 0.103681 + 2.17654i
\(446\) −2.65759 1.89246i −0.125841 0.0896106i
\(447\) −3.78276 + 1.11072i −0.178919 + 0.0525352i
\(448\) 19.0334 + 3.71758i 0.899244 + 0.175639i
\(449\) −7.06180 + 8.14976i −0.333267 + 0.384611i −0.897507 0.441000i \(-0.854624\pi\)
0.564240 + 0.825611i \(0.309169\pi\)
\(450\) −4.82635 4.60191i −0.227516 0.216936i
\(451\) −9.95490 0.950578i −0.468758 0.0447610i
\(452\) 85.8821 4.09107i 4.03956 0.192428i
\(453\) −3.14243 + 0.762345i −0.147644 + 0.0358181i
\(454\) −7.74320 53.8551i −0.363406 2.52755i
\(455\) −21.1332 + 14.9697i −0.990740 + 0.701790i
\(456\) 42.3902 + 6.09479i 1.98510 + 0.285415i
\(457\) 2.21086 + 0.105316i 0.103420 + 0.00492649i 0.0992280 0.995065i \(-0.468363\pi\)
0.00419178 + 0.999991i \(0.498666\pi\)
\(458\) 40.9139 7.88551i 1.91178 0.368466i
\(459\) 6.63791 + 3.83240i 0.309831 + 0.178881i
\(460\) 38.7735 + 50.0713i 1.80782 + 2.33459i
\(461\) 6.03433i 0.281047i −0.990077 0.140523i \(-0.955121\pi\)
0.990077 0.140523i \(-0.0448785\pi\)
\(462\) 11.1982 + 12.9887i 0.520989 + 0.604288i
\(463\) −23.9891 15.4169i −1.11487 0.716483i −0.152520 0.988300i \(-0.548739\pi\)
−0.962349 + 0.271818i \(0.912375\pi\)
\(464\) −14.5262 + 5.81539i −0.674360 + 0.269973i
\(465\) −4.07115 5.71713i −0.188795 0.265126i
\(466\) −28.1603 11.2737i −1.30450 0.522243i
\(467\) 7.03654 + 29.0050i 0.325612 + 1.34219i 0.865692 + 0.500578i \(0.166879\pi\)
−0.540079 + 0.841614i \(0.681606\pi\)
\(468\) −9.24769 14.3897i −0.427475 0.665164i
\(469\) 19.9029 9.02949i 0.919030 0.416943i
\(470\) 11.1405 + 37.9411i 0.513873 + 1.75009i
\(471\) 1.33182 6.91016i 0.0613672 0.318403i
\(472\) −58.7234 + 20.3244i −2.70297 + 0.935506i
\(473\) 3.01538 12.4296i 0.138647 0.571512i
\(474\) −9.88558 + 13.8824i −0.454060 + 0.637638i
\(475\) 12.5953 8.09449i 0.577911 0.371401i
\(476\) −70.6692 + 67.0476i −3.23912 + 3.07312i
\(477\) 7.14726 1.02762i 0.327251 0.0470515i
\(478\) 32.3351 3.08763i 1.47898 0.141225i
\(479\) −22.0221 17.3184i −1.00622 0.791297i −0.0281526 0.999604i \(-0.508962\pi\)
−0.978064 + 0.208307i \(0.933205\pi\)
\(480\) 12.6841 + 24.6037i 0.578947 + 1.12300i
\(481\) −7.08626 + 20.4744i −0.323106 + 0.933552i
\(482\) 1.75117 0.0797637
\(483\) −11.8261 + 4.59812i −0.538107 + 0.209222i
\(484\) 23.1758 1.05345
\(485\) 7.93615 22.9300i 0.360362 1.04120i
\(486\) 1.19523 + 2.31842i 0.0542167 + 0.105166i
\(487\) 28.6535 + 22.5334i 1.29842 + 1.02109i 0.997729 + 0.0673624i \(0.0214584\pi\)
0.300687 + 0.953723i \(0.402784\pi\)
\(488\) −96.2247 + 9.18834i −4.35589 + 0.415937i
\(489\) −4.79067 + 0.688795i −0.216642 + 0.0311484i
\(490\) 11.5900 + 48.8354i 0.523585 + 2.20616i
\(491\) 3.18872 2.04927i 0.143905 0.0924822i −0.466707 0.884412i \(-0.654560\pi\)
0.610612 + 0.791930i \(0.290923\pi\)
\(492\) 11.2129 15.7464i 0.505518 0.709901i
\(493\) 2.98641 12.3102i 0.134501 0.554422i
\(494\) 51.4006 17.7899i 2.31262 0.800406i
\(495\) −1.29281 + 6.70773i −0.0581075 + 0.301490i
\(496\) 6.81035 + 23.1939i 0.305794 + 1.04144i
\(497\) 4.81756 6.72978i 0.216097 0.301872i
\(498\) −14.2875 22.2318i −0.640239 0.996231i
\(499\) −1.62996 6.71877i −0.0729669 0.300774i 0.923622 0.383306i \(-0.125214\pi\)
−0.996588 + 0.0825321i \(0.973699\pi\)
\(500\) −29.9533 11.9915i −1.33955 0.536276i
\(501\) −7.29462 10.2439i −0.325899 0.457662i
\(502\) −22.9810 + 9.20021i −1.02569 + 0.410625i
\(503\) −9.11664 5.85891i −0.406491 0.261236i 0.321380 0.946950i \(-0.395853\pi\)
−0.727870 + 0.685715i \(0.759490\pi\)
\(504\) −19.0078 + 3.61438i −0.846676 + 0.160997i
\(505\) 18.8942i 0.840780i
\(506\) 10.3869 29.2995i 0.461753 1.30252i
\(507\) 0.277490 + 0.160209i 0.0123238 + 0.00711514i
\(508\) 72.8530 14.0413i 3.23233 0.622980i
\(509\) 20.2357 + 0.963947i 0.896933 + 0.0427262i 0.490983 0.871169i \(-0.336638\pi\)
0.405950 + 0.913895i \(0.366941\pi\)
\(510\) −54.3993 7.82144i −2.40884 0.346339i
\(511\) 0.0337580 + 0.0155185i 0.00149337 + 0.000686499i
\(512\) 6.13930 + 42.6997i 0.271321 + 1.88708i
\(513\) −5.69107 + 1.38064i −0.251267 + 0.0609567i
\(514\) −35.9808 + 1.71398i −1.58705 + 0.0756004i
\(515\) −1.01593 0.0970092i −0.0447671 0.00427474i
\(516\) 17.8934 + 17.0613i 0.787714 + 0.751083i
\(517\) 8.97456 10.3572i 0.394701 0.455509i
\(518\) 31.6654 + 27.5766i 1.39130 + 1.21165i
\(519\) 25.1848 7.39492i 1.10549 0.324601i
\(520\) 58.3102 + 41.5225i 2.55707 + 1.82088i
\(521\) −0.524790 11.0167i −0.0229915 0.482650i −0.980773 0.195153i \(-0.937480\pi\)
0.957781 0.287498i \(-0.0928233\pi\)
\(522\) 3.11983 2.97475i 0.136551 0.130201i
\(523\) 1.54631 1.21603i 0.0676152 0.0531732i −0.583779 0.811912i \(-0.698427\pi\)
0.651395 + 0.758739i \(0.274184\pi\)
\(524\) −44.6988 20.4133i −1.95268 0.891758i
\(525\) −4.19459 + 5.30660i −0.183067 + 0.231599i
\(526\) 10.0778 15.6814i 0.439413 0.683740i
\(527\) −18.4934 6.40061i −0.805583 0.278815i
\(528\) 11.7639 20.3757i 0.511958 0.886738i
\(529\) 17.8644 + 14.4867i 0.776712 + 0.629856i
\(530\) −44.8383 + 25.8874i −1.94765 + 1.12448i
\(531\) 6.42186 5.56457i 0.278685 0.241482i
\(532\) 3.72657 74.3341i 0.161567 3.22279i
\(533\) 2.03929 14.1836i 0.0883315 0.614359i
\(534\) 4.14596 + 43.4184i 0.179413 + 1.87890i
\(535\) 10.3468 25.8450i 0.447330 1.11738i
\(536\) −41.6873 43.7204i −1.80062 1.88843i
\(537\) −9.00446 + 17.4662i −0.388571 + 0.753723i
\(538\) 7.85958 3.58935i 0.338850 0.154748i
\(539\) 12.0666 12.5295i 0.519747 0.539686i
\(540\) −9.97962 8.64739i −0.429455 0.372125i
\(541\) −38.1016 7.34349i −1.63812 0.315721i −0.714675 0.699457i \(-0.753425\pi\)
−0.923443 + 0.383736i \(0.874637\pi\)
\(542\) −41.7546 10.1296i −1.79351 0.435102i
\(543\) 0.159732 1.67279i 0.00685477 0.0717864i
\(544\) 68.6020 + 35.3668i 2.94129 + 1.51634i
\(545\) 13.7893 46.9620i 0.590668 2.01163i
\(546\) −19.3541 + 15.1424i −0.828279 + 0.648034i
\(547\) 2.16601 4.74291i 0.0926120 0.202792i −0.857657 0.514222i \(-0.828081\pi\)
0.950269 + 0.311430i \(0.100808\pi\)
\(548\) 17.9979 + 44.9566i 0.768832 + 1.92045i
\(549\) 11.7485 6.05677i 0.501414 0.258497i
\(550\) −3.13625 16.2724i −0.133730 0.693857i
\(551\) 4.83908 + 8.38153i 0.206152 + 0.357065i
\(552\) 22.7682 + 26.6768i 0.969080 + 1.13544i
\(553\) 14.9491 + 8.68056i 0.635699 + 0.369135i
\(554\) −17.3432 20.0151i −0.736843 0.850362i
\(555\) −0.795853 + 16.7070i −0.0337821 + 0.709173i
\(556\) −14.9152 + 18.9662i −0.632545 + 0.804346i
\(557\) 25.5244 18.1758i 1.08150 0.770134i 0.106943 0.994265i \(-0.465894\pi\)
0.974559 + 0.224131i \(0.0719543\pi\)
\(558\) −4.11675 5.23487i −0.174276 0.221610i
\(559\) 17.5848 + 5.16335i 0.743756 + 0.218386i
\(560\) 58.0207 37.0838i 2.45182 1.56708i
\(561\) 7.91252 + 17.3260i 0.334067 + 0.731504i
\(562\) −44.2357 + 46.3930i −1.86597 + 1.95697i
\(563\) −2.79649 8.07993i −0.117858 0.340529i 0.870607 0.491980i \(-0.163727\pi\)
−0.988465 + 0.151451i \(0.951605\pi\)
\(564\) 8.66448 + 25.0344i 0.364840 + 1.05414i
\(565\) 33.9536 35.6095i 1.42844 1.49810i
\(566\) 9.16911 + 20.0776i 0.385407 + 0.843923i
\(567\) 2.22930 1.42485i 0.0936220 0.0598382i
\(568\) −21.9498 6.44504i −0.920993 0.270428i
\(569\) −1.03943 1.32174i −0.0435752 0.0554103i 0.763777 0.645480i \(-0.223343\pi\)
−0.807352 + 0.590070i \(0.799100\pi\)
\(570\) 34.2042 24.3567i 1.43266 1.02019i
\(571\) −8.04403 + 10.2288i −0.336632 + 0.428063i −0.924669 0.380771i \(-0.875658\pi\)
0.588037 + 0.808834i \(0.299901\pi\)
\(572\) 2.02254 42.4584i 0.0845669 1.77528i
\(573\) −3.60498 4.16037i −0.150600 0.173802i
\(574\) −24.0160 13.9455i −1.00241 0.582075i
\(575\) 12.1230 + 1.83574i 0.505563 + 0.0765556i
\(576\) 3.66494 + 6.34787i 0.152706 + 0.264495i
\(577\) 5.58229 + 28.9637i 0.232394 + 1.20577i 0.891253 + 0.453507i \(0.149827\pi\)
−0.658859 + 0.752267i \(0.728961\pi\)
\(578\) −96.7922 + 49.8999i −4.02603 + 2.07556i
\(579\) 7.43069 + 18.5610i 0.308809 + 0.771368i
\(580\) −9.06565 + 19.8510i −0.376431 + 0.824268i
\(581\) −21.1118 + 16.5176i −0.875867 + 0.685265i
\(582\) 6.48659 22.0913i 0.268878 0.915713i
\(583\) 15.9491 + 8.22232i 0.660544 + 0.340534i
\(584\) 0.00976189 0.102231i 0.000403950 0.00423036i
\(585\) −9.51259 2.30773i −0.393297 0.0954128i
\(586\) −3.24745 0.625895i −0.134151 0.0258555i
\(587\) 17.7859 + 15.4116i 0.734103 + 0.636104i 0.939490 0.342577i \(-0.111300\pi\)
−0.205387 + 0.978681i \(0.565845\pi\)
\(588\) 9.31258 + 32.3103i 0.384044 + 1.33246i
\(589\) 13.6007 6.21122i 0.560406 0.255929i
\(590\) −27.9189 + 54.1552i −1.14940 + 2.22953i
\(591\) 3.07232 + 3.22215i 0.126378 + 0.132542i
\(592\) 21.4104 53.4806i 0.879963 2.19804i
\(593\) −0.762344 7.98362i −0.0313057 0.327848i −0.997535 0.0701657i \(-0.977647\pi\)
0.966230 0.257682i \(-0.0829589\pi\)
\(594\) −0.922472 + 6.41593i −0.0378495 + 0.263249i
\(595\) −2.79120 + 55.6761i −0.114428 + 2.28250i
\(596\) 14.3126 12.4019i 0.586266 0.508002i
\(597\) −11.7722 + 6.79671i −0.481806 + 0.278171i
\(598\) 41.2280 + 16.8643i 1.68594 + 0.689634i
\(599\) −8.12896 + 14.0798i −0.332140 + 0.575284i −0.982931 0.183973i \(-0.941104\pi\)
0.650791 + 0.759257i \(0.274437\pi\)
\(600\) 17.6684 + 6.11509i 0.721309 + 0.249647i
\(601\) −19.5751 + 30.4595i −0.798486 + 1.24247i 0.168010 + 0.985785i \(0.446266\pi\)
−0.966496 + 0.256683i \(0.917370\pi\)
\(602\) 22.0259 27.8651i 0.897711 1.13570i
\(603\) 7.51406 + 3.43155i 0.305996 + 0.139744i
\(604\) 12.2098 9.60186i 0.496808 0.390694i
\(605\) 9.59857 9.15222i 0.390238 0.372091i
\(606\) 0.853055 + 17.9078i 0.0346530 + 0.727456i
\(607\) −33.8802 24.1260i −1.37516 0.979245i −0.998602 0.0528502i \(-0.983169\pi\)
−0.376554 0.926395i \(-0.622891\pi\)
\(608\) −56.5808 + 16.6136i −2.29465 + 0.673771i
\(609\) −3.29737 2.87160i −0.133616 0.116363i
\(610\) −62.0648 + 71.6266i −2.51293 + 2.90008i
\(611\) 14.2123 + 13.5514i 0.574967 + 0.548230i
\(612\) −36.6524 3.49988i −1.48158 0.141474i
\(613\) −25.5260 + 1.21595i −1.03099 + 0.0491119i −0.556249 0.831016i \(-0.687760\pi\)
−0.474737 + 0.880128i \(0.657457\pi\)
\(614\) 60.4652 14.6687i 2.44018 0.591981i
\(615\) −1.57431 10.9496i −0.0634824 0.441530i
\(616\) −43.6865 20.0826i −1.76018 0.809152i
\(617\) −16.1110 2.31641i −0.648603 0.0932550i −0.189842 0.981815i \(-0.560797\pi\)
−0.458761 + 0.888560i \(0.651707\pi\)
\(618\) −0.967271 0.0460768i −0.0389093 0.00185348i
\(619\) −7.52040 + 1.44944i −0.302270 + 0.0582578i −0.338131 0.941099i \(-0.609795\pi\)
0.0358610 + 0.999357i \(0.488583\pi\)
\(620\) 29.1978 + 16.8573i 1.17261 + 0.677007i
\(621\) −4.24614 2.22942i −0.170392 0.0894636i
\(622\) 58.3169i 2.33830i
\(623\) 43.4620 8.26439i 1.74127 0.331106i
\(624\) 28.3615 + 18.2268i 1.13537 + 0.729657i
\(625\) −29.0085 + 11.6133i −1.16034 + 0.464530i
\(626\) −23.7152 33.3033i −0.947849 1.33107i
\(627\) −13.5103 5.40870i −0.539548 0.216003i
\(628\) 7.96981 + 32.8520i 0.318030 + 1.31094i
\(629\) 25.2137 + 39.2333i 1.00534 + 1.56433i
\(630\) −11.0426 + 15.4257i −0.439947 + 0.614573i
\(631\) 6.40784 + 21.8231i 0.255092 + 0.868764i 0.983080 + 0.183175i \(0.0586374\pi\)
−0.727988 + 0.685590i \(0.759544\pi\)
\(632\) 9.04265 46.9177i 0.359697 1.86629i
\(633\) 1.78777 0.618753i 0.0710575 0.0245932i
\(634\) −14.7556 + 60.8234i −0.586020 + 2.41561i
\(635\) 24.6281 34.5853i 0.977335 1.37247i
\(636\) −29.1798 + 18.7527i −1.15705 + 0.743593i
\(637\) 17.1107 + 18.1252i 0.677952 + 0.718146i
\(638\) 10.6033 1.52452i 0.419788 0.0603564i
\(639\) 3.11402 0.297353i 0.123189 0.0117631i
\(640\) 2.20438 + 1.73354i 0.0871358 + 0.0685244i
\(641\) −5.89690 11.4384i −0.232914 0.451789i 0.743194 0.669076i \(-0.233310\pi\)
−0.976108 + 0.217286i \(0.930279\pi\)
\(642\) 8.63976 24.9630i 0.340984 0.985209i
\(643\) −21.8120 −0.860181 −0.430090 0.902786i \(-0.641518\pi\)
−0.430090 + 0.902786i \(0.641518\pi\)
\(644\) 42.4994 43.6910i 1.67471 1.72166i
\(645\) 14.1484 0.557091
\(646\) 38.2933 110.641i 1.50663 4.35312i
\(647\) 2.36653 + 4.59042i 0.0930378 + 0.180468i 0.930762 0.365625i \(-0.119145\pi\)
−0.837724 + 0.546093i \(0.816114\pi\)
\(648\) −5.74842 4.52060i −0.225819 0.177586i
\(649\) 21.0205 2.00722i 0.825128 0.0787902i
\(650\) 23.5044 3.37942i 0.921918 0.132552i
\(651\) −4.90049 + 4.64936i −0.192065 + 0.182223i
\(652\) 19.5586 12.5696i 0.765976 0.492263i
\(653\) 26.5890 37.3391i 1.04051 1.46119i 0.160026 0.987113i \(-0.448842\pi\)
0.880483 0.474078i \(-0.157218\pi\)
\(654\) 10.9491 45.1330i 0.428145 1.76484i
\(655\) −26.5739 + 9.19730i −1.03833 + 0.359368i
\(656\) −7.21049 + 37.4116i −0.281522 + 1.46068i
\(657\) 0.00395635 + 0.0134741i 0.000154352 + 0.000525675i
\(658\) 34.6586 15.7238i 1.35113 0.612978i
\(659\) 7.14980 + 11.1253i 0.278517 + 0.433380i 0.952125 0.305708i \(-0.0988931\pi\)
−0.673609 + 0.739088i \(0.735257\pi\)
\(660\) −7.73635 31.8897i −0.301137 1.24130i
\(661\) −43.6014 17.4554i −1.69590 0.678934i −0.696637 0.717423i \(-0.745321\pi\)
−0.999259 + 0.0384890i \(0.987746\pi\)
\(662\) −39.3670 55.2832i −1.53004 2.14864i
\(663\) −25.3381 + 10.1438i −0.984049 + 0.393954i
\(664\) 62.3304 + 40.0573i 2.41889 + 1.55453i
\(665\) −27.8114 32.2581i −1.07848 1.25091i
\(666\) 15.8708i 0.614980i
\(667\) −1.55818 + 7.77115i −0.0603331 + 0.300900i
\(668\) 52.3160 + 30.2047i 2.02417 + 1.16865i
\(669\) −1.22819 + 0.236714i −0.0474845 + 0.00915189i
\(670\) −59.1632 2.81829i −2.28568 0.108880i
\(671\) 32.5125 + 4.67458i 1.25513 + 0.180460i
\(672\) 21.7402 15.3997i 0.838647 0.594055i
\(673\) −6.81304 47.3857i −0.262623 1.82659i −0.512943 0.858423i \(-0.671445\pi\)
0.250320 0.968163i \(-0.419464\pi\)
\(674\) −88.4566 + 21.4593i −3.40722 + 0.826583i
\(675\) −2.55374 + 0.121650i −0.0982934 + 0.00468229i
\(676\) −1.53221 0.146308i −0.0589311 0.00562724i
\(677\) −14.0640 13.4100i −0.540524 0.515388i 0.369897 0.929073i \(-0.379393\pi\)
−0.910420 + 0.413685i \(0.864242\pi\)
\(678\) 30.5734 35.2835i 1.17416 1.35506i
\(679\) −22.9207 4.47684i −0.879614 0.171805i
\(680\) 147.844 43.4109i 5.66955 1.66473i
\(681\) −16.9915 12.0996i −0.651114 0.463656i
\(682\) −0.787458 16.5308i −0.0301533 0.632996i
\(683\) −1.94463 + 1.85420i −0.0744093 + 0.0709491i −0.726371 0.687303i \(-0.758795\pi\)
0.651962 + 0.758252i \(0.273946\pi\)
\(684\) 22.1124 17.3894i 0.845489 0.664900i
\(685\) 25.2076 + 11.5119i 0.963131 + 0.439847i
\(686\) 44.9804 17.6186i 1.71736 0.672682i
\(687\) 8.63632 13.4384i 0.329496 0.512706i
\(688\) −46.0494 15.9379i −1.75562 0.607625i
\(689\) −12.8560 + 22.2672i −0.489774 + 0.848313i
\(690\) 34.2063 + 3.52486i 1.30221 + 0.134189i
\(691\) 25.4832 14.7128i 0.969428 0.559700i 0.0703665 0.997521i \(-0.477583\pi\)
0.899062 + 0.437821i \(0.144250\pi\)
\(692\) −95.2898 + 82.5691i −3.62238 + 3.13881i
\(693\) 6.56653 + 0.329198i 0.249442 + 0.0125052i
\(694\) −2.92748 + 20.3611i −0.111126 + 0.772895i
\(695\) 1.31250 + 13.7452i 0.0497861 + 0.521383i
\(696\) −4.49185 + 11.2201i −0.170263 + 0.425297i
\(697\) −21.2851 22.3232i −0.806231 0.845551i
\(698\) −19.7886 + 38.3845i −0.749008 + 1.45287i
\(699\) −10.5782 + 4.83090i −0.400104 + 0.182721i
\(700\) 7.73914 31.5579i 0.292512 1.19278i
\(701\) −28.3586 24.5728i −1.07109 0.928103i −0.0734851 0.997296i \(-0.523412\pi\)
−0.997603 + 0.0691929i \(0.977958\pi\)
\(702\) −9.12019 1.75777i −0.344219 0.0663428i
\(703\) −34.6275 8.40054i −1.30600 0.316832i
\(704\) −1.73145 + 18.1325i −0.0652563 + 0.683395i
\(705\) 13.4747 + 6.94667i 0.507485 + 0.261627i
\(706\) 4.43487 15.1038i 0.166909 0.568438i
\(707\) 18.0063 2.54315i 0.677196 0.0956450i
\(708\) −16.9565 + 37.1297i −0.637266 + 1.39542i
\(709\) 3.92224 + 9.79728i 0.147303 + 0.367945i 0.983608 0.180319i \(-0.0577131\pi\)
−0.836305 + 0.548264i \(0.815289\pi\)
\(710\) −19.9365 + 10.2780i −0.748204 + 0.385726i
\(711\) 1.23651 + 6.41565i 0.0463729 + 0.240606i
\(712\) −61.1421 105.901i −2.29140 3.96881i
\(713\) 11.7225 + 3.53756i 0.439011 + 0.132483i
\(714\) −0.131758 + 52.8956i −0.00493093 + 1.97957i
\(715\) −15.9293 18.3834i −0.595723 0.687501i
\(716\) 4.49150 94.2883i 0.167855 3.52372i
\(717\) 7.69794 9.78873i 0.287485 0.365567i
\(718\) 78.2214 55.7012i 2.91920 2.07875i
\(719\) −1.38149 1.75671i −0.0515209 0.0655142i 0.759610 0.650379i \(-0.225390\pi\)
−0.811131 + 0.584865i \(0.801148\pi\)
\(720\) 24.9721 + 7.33248i 0.930657 + 0.273265i
\(721\) 0.0442929 + 0.981242i 0.00164955 + 0.0365434i
\(722\) 16.5725 + 36.2888i 0.616766 + 1.35053i
\(723\) 0.463294 0.485889i 0.0172301 0.0180704i
\(724\) 2.64012 + 7.62812i 0.0981192 + 0.283497i
\(725\) 1.38193 + 3.99283i 0.0513237 + 0.148290i
\(726\) 8.68428 9.10781i 0.322304 0.338022i
\(727\) 10.6258 + 23.2673i 0.394089 + 0.862935i 0.997836 + 0.0657588i \(0.0209468\pi\)
−0.603746 + 0.797177i \(0.706326\pi\)
\(728\) 31.7227 61.1589i 1.17572 2.26670i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −0.0622434 0.0791490i −0.00230373 0.00292944i
\(731\) 32.1347 22.8830i 1.18855 0.846359i
\(732\) −39.2494 + 49.9097i −1.45070 + 1.84472i
\(733\) 1.92692 40.4511i 0.0711726 1.49410i −0.627479 0.778634i \(-0.715913\pi\)
0.698651 0.715462i \(-0.253784\pi\)
\(734\) −3.34113 3.85587i −0.123324 0.142323i
\(735\) 16.6164 + 9.70417i 0.612905 + 0.357944i
\(736\) −43.7769 20.3896i −1.61364 0.751571i
\(737\) 10.2639 + 17.7775i 0.378074 + 0.654843i
\(738\) −1.98649 10.3069i −0.0731237 0.379402i
\(739\) 8.60129 4.43427i 0.316404 0.163117i −0.292708 0.956202i \(-0.594556\pi\)
0.609112 + 0.793084i \(0.291526\pi\)
\(740\) −29.8615 74.5904i −1.09773 2.74200i
\(741\) 8.66257 18.9684i 0.318228 0.696821i
\(742\) 30.7061 + 39.2467i 1.12725 + 1.44079i
\(743\) −10.6590 + 36.3011i −0.391039 + 1.33176i 0.495300 + 0.868722i \(0.335058\pi\)
−0.886339 + 0.463036i \(0.846760\pi\)
\(744\) 16.5959 + 8.55577i 0.608435 + 0.313670i
\(745\) 1.03018 10.7885i 0.0377427 0.395260i
\(746\) −31.7717 7.70773i −1.16325 0.282200i
\(747\) −9.94848 1.91741i −0.363996 0.0701544i
\(748\) −69.1485 59.9175i −2.52832 2.19080i
\(749\) −26.0231 6.38182i −0.950865 0.233187i
\(750\) −15.9364 + 7.27790i −0.581914 + 0.265751i
\(751\) 13.2381 25.6783i 0.483065 0.937016i −0.513801 0.857910i \(-0.671763\pi\)
0.996866 0.0791067i \(-0.0252068\pi\)
\(752\) −36.0314 37.7886i −1.31393 1.37801i
\(753\) −3.52717 + 8.81045i −0.128537 + 0.321070i
\(754\) 1.45910 + 15.2804i 0.0531372 + 0.556478i
\(755\) 1.26502 8.79841i 0.0460388 0.320207i
\(756\) −6.89777 + 10.6746i −0.250869 + 0.388231i
\(757\) −17.2948 + 14.9860i −0.628589 + 0.544676i −0.909840 0.414958i \(-0.863796\pi\)
0.281251 + 0.959634i \(0.409251\pi\)
\(758\) 40.6621 23.4763i 1.47691 0.852697i
\(759\) −5.38161 10.6335i −0.195340 0.385973i
\(760\) −58.8630 + 101.954i −2.13519 + 3.69825i
\(761\) −35.8417 12.4049i −1.29926 0.449678i −0.412099 0.911139i \(-0.635204\pi\)
−0.887160 + 0.461461i \(0.847325\pi\)
\(762\) 21.7809 33.8917i 0.789038 1.22777i
\(763\) −46.6111 6.82022i −1.68744 0.246908i
\(764\) 24.0542 + 10.9852i 0.870252 + 0.397431i
\(765\) −16.5622 + 13.0246i −0.598806 + 0.470906i
\(766\) 9.79989 9.34417i 0.354084 0.337619i
\(767\) 1.43972 + 30.2234i 0.0519852 + 1.09130i
\(768\) 14.1091 + 10.0470i 0.509117 + 0.362541i
\(769\) −7.00948 + 2.05817i −0.252768 + 0.0742195i −0.405662 0.914023i \(-0.632959\pi\)
0.152894 + 0.988243i \(0.451141\pi\)
\(770\) −44.5883 + 15.3079i −1.60685 + 0.551659i
\(771\) −9.04360 + 10.4369i −0.325697 + 0.375875i
\(772\) −69.5075 66.2753i −2.50163 2.38530i
\(773\) −28.2688 2.69935i −1.01676 0.0970887i −0.426654 0.904415i \(-0