Properties

Label 135.2.q.a.32.7
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 32.7
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0140240 + 0.160295i) q^{2} +(0.850222 + 1.50901i) q^{3} +(1.94412 + 0.342800i) q^{4} +(-1.03969 - 1.97966i) q^{5} +(-0.253811 + 0.115124i) q^{6} +(1.66092 - 2.37204i) q^{7} +(-0.165506 + 0.617675i) q^{8} +(-1.55424 + 2.56599i) q^{9} +O(q^{10})\) \(q+(-0.0140240 + 0.160295i) q^{2} +(0.850222 + 1.50901i) q^{3} +(1.94412 + 0.342800i) q^{4} +(-1.03969 - 1.97966i) q^{5} +(-0.253811 + 0.115124i) q^{6} +(1.66092 - 2.37204i) q^{7} +(-0.165506 + 0.617675i) q^{8} +(-1.55424 + 2.56599i) q^{9} +(0.331911 - 0.138894i) q^{10} +(-1.48958 + 4.09258i) q^{11} +(1.13564 + 3.22516i) q^{12} +(-4.71104 + 0.412163i) q^{13} +(0.356933 + 0.299503i) q^{14} +(2.10337 - 3.25205i) q^{15} +(3.61342 + 1.31518i) q^{16} +(-1.51857 - 5.66739i) q^{17} +(-0.389520 - 0.285124i) q^{18} +(-0.695229 + 0.401391i) q^{19} +(-1.34264 - 4.20510i) q^{20} +(4.99158 + 0.489589i) q^{21} +(-0.635132 - 0.296167i) q^{22} +(2.18347 - 1.52888i) q^{23} +(-1.07280 + 0.275411i) q^{24} +(-2.83811 + 4.11645i) q^{25} -0.760939i q^{26} +(-5.19357 - 0.163709i) q^{27} +(4.04215 - 4.04215i) q^{28} +(-2.06994 + 1.73689i) q^{29} +(0.491791 + 0.382767i) q^{30} +(1.27517 - 7.23183i) q^{31} +(-0.801990 + 1.71987i) q^{32} +(-7.44223 + 1.23181i) q^{33} +(0.929752 - 0.163940i) q^{34} +(-6.42266 - 0.821878i) q^{35} +(-3.90126 + 4.45580i) q^{36} +(3.14033 - 0.841448i) q^{37} +(-0.0545912 - 0.117071i) q^{38} +(-4.62739 - 6.75860i) q^{39} +(1.39486 - 0.314544i) q^{40} +(2.88706 - 3.44066i) q^{41} +(-0.148481 + 0.793261i) q^{42} +(-6.22917 + 2.90471i) q^{43} +(-4.29885 + 7.44583i) q^{44} +(6.69572 + 0.409045i) q^{45} +(0.214452 + 0.371442i) q^{46} +(4.52886 + 3.17114i) q^{47} +(1.08759 + 6.57090i) q^{48} +(-0.473765 - 1.30166i) q^{49} +(-0.620046 - 0.512664i) q^{50} +(7.26104 - 7.11008i) q^{51} +(-9.30011 - 0.813654i) q^{52} +(1.70331 + 1.70331i) q^{53} +(0.0990765 - 0.830210i) q^{54} +(9.65061 - 1.30614i) q^{55} +(1.19026 + 1.41849i) q^{56} +(-1.19680 - 0.707839i) q^{57} +(-0.249386 - 0.356161i) q^{58} +(4.31439 - 1.57031i) q^{59} +(5.20400 - 5.60134i) q^{60} +(2.10123 + 11.9167i) q^{61} +(1.14135 + 0.305823i) q^{62} +(3.50516 + 7.94862i) q^{63} +(6.39585 + 3.69265i) q^{64} +(5.71395 + 8.89774i) q^{65} +(-0.0930836 - 1.21023i) q^{66} +(-0.582021 - 6.65253i) q^{67} +(-1.00950 - 11.5386i) q^{68} +(4.16355 + 1.99500i) q^{69} +(0.221815 - 1.01800i) q^{70} +(-5.61473 - 3.24167i) q^{71} +(-1.32772 - 1.38470i) q^{72} +(-9.31768 - 2.49666i) q^{73} +(0.0908402 + 0.515180i) q^{74} +(-8.62480 - 0.782842i) q^{75} +(-1.48920 + 0.542026i) q^{76} +(7.23368 + 10.3308i) q^{77} +(1.14827 - 0.646967i) q^{78} +(0.322504 + 0.384345i) q^{79} +(-1.15322 - 8.52072i) q^{80} +(-4.16865 - 7.97636i) q^{81} +(0.511034 + 0.511034i) q^{82} +(8.92110 + 0.780495i) q^{83} +(9.53639 + 2.66293i) q^{84} +(-9.64066 + 8.89856i) q^{85} +(-0.378253 - 1.03924i) q^{86} +(-4.38090 - 1.64683i) q^{87} +(-2.28135 - 1.59742i) q^{88} +(6.84734 + 11.8599i) q^{89} +(-0.159469 + 1.06756i) q^{90} +(-6.84699 + 11.8593i) q^{91} +(4.76903 - 2.22384i) q^{92} +(11.9971 - 4.22442i) q^{93} +(-0.571832 + 0.681483i) q^{94} +(1.51744 + 0.958997i) q^{95} +(-3.27718 + 0.252061i) q^{96} +(3.08067 + 6.60652i) q^{97} +(0.215294 - 0.0576878i) q^{98} +(-8.18637 - 10.1831i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0140240 + 0.160295i −0.00991648 + 0.113346i −0.999540 0.0303416i \(-0.990340\pi\)
0.989623 + 0.143688i \(0.0458960\pi\)
\(3\) 0.850222 + 1.50901i 0.490876 + 0.871229i
\(4\) 1.94412 + 0.342800i 0.972059 + 0.171400i
\(5\) −1.03969 1.97966i −0.464962 0.885331i
\(6\) −0.253811 + 0.115124i −0.103618 + 0.0469993i
\(7\) 1.66092 2.37204i 0.627768 0.896545i −0.371727 0.928342i \(-0.621234\pi\)
0.999494 + 0.0317971i \(0.0101231\pi\)
\(8\) −0.165506 + 0.617675i −0.0585151 + 0.218381i
\(9\) −1.55424 + 2.56599i −0.518081 + 0.855331i
\(10\) 0.331911 0.138894i 0.104959 0.0439222i
\(11\) −1.48958 + 4.09258i −0.449125 + 1.23396i 0.484210 + 0.874952i \(0.339107\pi\)
−0.933335 + 0.359008i \(0.883115\pi\)
\(12\) 1.13564 + 3.22516i 0.327832 + 0.931022i
\(13\) −4.71104 + 0.412163i −1.30661 + 0.114313i −0.719101 0.694905i \(-0.755446\pi\)
−0.587507 + 0.809219i \(0.699891\pi\)
\(14\) 0.356933 + 0.299503i 0.0953945 + 0.0800455i
\(15\) 2.10337 3.25205i 0.543087 0.839676i
\(16\) 3.61342 + 1.31518i 0.903355 + 0.328794i
\(17\) −1.51857 5.66739i −0.368308 1.37454i −0.862881 0.505407i \(-0.831342\pi\)
0.494573 0.869136i \(-0.335324\pi\)
\(18\) −0.389520 0.285124i −0.0918108 0.0672043i
\(19\) −0.695229 + 0.401391i −0.159497 + 0.0920854i −0.577624 0.816303i \(-0.696020\pi\)
0.418127 + 0.908388i \(0.362687\pi\)
\(20\) −1.34264 4.20510i −0.300224 0.940288i
\(21\) 4.99158 + 0.489589i 1.08925 + 0.106837i
\(22\) −0.635132 0.296167i −0.135411 0.0631430i
\(23\) 2.18347 1.52888i 0.455286 0.318794i −0.323340 0.946283i \(-0.604806\pi\)
0.778626 + 0.627488i \(0.215917\pi\)
\(24\) −1.07280 + 0.275411i −0.218984 + 0.0562181i
\(25\) −2.83811 + 4.11645i −0.567621 + 0.823290i
\(26\) 0.760939i 0.149232i
\(27\) −5.19357 0.163709i −0.999504 0.0315057i
\(28\) 4.04215 4.04215i 0.763895 0.763895i
\(29\) −2.06994 + 1.73689i −0.384379 + 0.322532i −0.814419 0.580278i \(-0.802944\pi\)
0.430040 + 0.902810i \(0.358500\pi\)
\(30\) 0.491791 + 0.382767i 0.0897883 + 0.0698834i
\(31\) 1.27517 7.23183i 0.229027 1.29887i −0.625809 0.779976i \(-0.715231\pi\)
0.854836 0.518899i \(-0.173658\pi\)
\(32\) −0.801990 + 1.71987i −0.141773 + 0.304034i
\(33\) −7.44223 + 1.23181i −1.29553 + 0.214431i
\(34\) 0.929752 0.163940i 0.159451 0.0281155i
\(35\) −6.42266 0.821878i −1.08563 0.138923i
\(36\) −3.90126 + 4.45580i −0.650209 + 0.742633i
\(37\) 3.14033 0.841448i 0.516266 0.138333i 0.00872734 0.999962i \(-0.497222\pi\)
0.507539 + 0.861629i \(0.330555\pi\)
\(38\) −0.0545912 0.117071i −0.00885586 0.0189914i
\(39\) −4.62739 6.75860i −0.740976 1.08224i
\(40\) 1.39486 0.314544i 0.220547 0.0497337i
\(41\) 2.88706 3.44066i 0.450883 0.537341i −0.491943 0.870628i \(-0.663713\pi\)
0.942826 + 0.333286i \(0.108158\pi\)
\(42\) −0.148481 + 0.793261i −0.0229111 + 0.122403i
\(43\) −6.22917 + 2.90471i −0.949940 + 0.442964i −0.834903 0.550397i \(-0.814476\pi\)
−0.115037 + 0.993361i \(0.536699\pi\)
\(44\) −4.29885 + 7.44583i −0.648076 + 1.12250i
\(45\) 6.69572 + 0.409045i 0.998139 + 0.0609768i
\(46\) 0.214452 + 0.371442i 0.0316192 + 0.0547661i
\(47\) 4.52886 + 3.17114i 0.660602 + 0.462558i 0.855182 0.518328i \(-0.173445\pi\)
−0.194580 + 0.980887i \(0.562334\pi\)
\(48\) 1.08759 + 6.57090i 0.156980 + 0.948427i
\(49\) −0.473765 1.30166i −0.0676807 0.185951i
\(50\) −0.620046 0.512664i −0.0876878 0.0725017i
\(51\) 7.26104 7.11008i 1.01675 0.995611i
\(52\) −9.30011 0.813654i −1.28969 0.112834i
\(53\) 1.70331 + 1.70331i 0.233968 + 0.233968i 0.814347 0.580379i \(-0.197095\pi\)
−0.580379 + 0.814347i \(0.697095\pi\)
\(54\) 0.0990765 0.830210i 0.0134826 0.112977i
\(55\) 9.65061 1.30614i 1.30129 0.176120i
\(56\) 1.19026 + 1.41849i 0.159055 + 0.189554i
\(57\) −1.19680 0.707839i −0.158521 0.0937556i
\(58\) −0.249386 0.356161i −0.0327460 0.0467662i
\(59\) 4.31439 1.57031i 0.561686 0.204437i −0.0455453 0.998962i \(-0.514503\pi\)
0.607231 + 0.794525i \(0.292280\pi\)
\(60\) 5.20400 5.60134i 0.671834 0.723129i
\(61\) 2.10123 + 11.9167i 0.269035 + 1.52577i 0.757294 + 0.653074i \(0.226521\pi\)
−0.488259 + 0.872699i \(0.662368\pi\)
\(62\) 1.14135 + 0.305823i 0.144951 + 0.0388395i
\(63\) 3.50516 + 7.94862i 0.441609 + 1.00143i
\(64\) 6.39585 + 3.69265i 0.799482 + 0.461581i
\(65\) 5.71395 + 8.89774i 0.708728 + 1.10363i
\(66\) −0.0930836 1.21023i −0.0114578 0.148969i
\(67\) −0.582021 6.65253i −0.0711052 0.812736i −0.945096 0.326793i \(-0.894032\pi\)
0.873991 0.485943i \(-0.161524\pi\)
\(68\) −1.00950 11.5386i −0.122420 1.39926i
\(69\) 4.16355 + 1.99500i 0.501232 + 0.240170i
\(70\) 0.221815 1.01800i 0.0265119 0.121674i
\(71\) −5.61473 3.24167i −0.666346 0.384715i 0.128345 0.991730i \(-0.459034\pi\)
−0.794691 + 0.607014i \(0.792367\pi\)
\(72\) −1.32772 1.38470i −0.156473 0.163189i
\(73\) −9.31768 2.49666i −1.09055 0.292212i −0.331640 0.943406i \(-0.607602\pi\)
−0.758912 + 0.651194i \(0.774269\pi\)
\(74\) 0.0908402 + 0.515180i 0.0105600 + 0.0598885i
\(75\) −8.62480 0.782842i −0.995906 0.0903948i
\(76\) −1.48920 + 0.542026i −0.170823 + 0.0621747i
\(77\) 7.23368 + 10.3308i 0.824355 + 1.17730i
\(78\) 1.14827 0.646967i 0.130016 0.0732546i
\(79\) 0.322504 + 0.384345i 0.0362845 + 0.0432422i 0.783882 0.620910i \(-0.213237\pi\)
−0.747597 + 0.664153i \(0.768792\pi\)
\(80\) −1.15322 8.52072i −0.128934 0.952645i
\(81\) −4.16865 7.97636i −0.463184 0.886262i
\(82\) 0.511034 + 0.511034i 0.0564343 + 0.0564343i
\(83\) 8.92110 + 0.780495i 0.979218 + 0.0856704i 0.565512 0.824740i \(-0.308679\pi\)
0.413706 + 0.910411i \(0.364234\pi\)
\(84\) 9.53639 + 2.66293i 1.04051 + 0.290550i
\(85\) −9.64066 + 8.89856i −1.04568 + 0.965184i
\(86\) −0.378253 1.03924i −0.0407881 0.112064i
\(87\) −4.38090 1.64683i −0.469682 0.176559i
\(88\) −2.28135 1.59742i −0.243193 0.170286i
\(89\) 6.84734 + 11.8599i 0.725816 + 1.25715i 0.958637 + 0.284631i \(0.0918711\pi\)
−0.232821 + 0.972520i \(0.574796\pi\)
\(90\) −0.159469 + 1.06756i −0.0168095 + 0.112530i
\(91\) −6.84699 + 11.8593i −0.717759 + 1.24320i
\(92\) 4.76903 2.22384i 0.497206 0.231851i
\(93\) 11.9971 4.22442i 1.24404 0.438052i
\(94\) −0.571832 + 0.681483i −0.0589800 + 0.0702896i
\(95\) 1.51744 + 0.958997i 0.155686 + 0.0983910i
\(96\) −3.27718 + 0.252061i −0.334476 + 0.0257259i
\(97\) 3.08067 + 6.60652i 0.312795 + 0.670790i 0.998362 0.0572192i \(-0.0182234\pi\)
−0.685567 + 0.728010i \(0.740446\pi\)
\(98\) 0.215294 0.0576878i 0.0217480 0.00582735i
\(99\) −8.18637 10.1831i −0.822762 1.02344i
\(100\) −6.92873 + 7.02996i −0.692873 + 0.702996i
\(101\) 5.17835 0.913082i 0.515265 0.0908551i 0.0900315 0.995939i \(-0.471303\pi\)
0.425233 + 0.905084i \(0.360192\pi\)
\(102\) 1.03788 + 1.26362i 0.102766 + 0.125117i
\(103\) −1.58805 + 3.40559i −0.156475 + 0.335562i −0.968880 0.247532i \(-0.920380\pi\)
0.812404 + 0.583094i \(0.198158\pi\)
\(104\) 0.525121 2.97811i 0.0514924 0.292028i
\(105\) −4.22046 10.3907i −0.411875 1.01402i
\(106\) −0.296920 + 0.249146i −0.0288395 + 0.0241992i
\(107\) −5.69179 + 5.69179i −0.550246 + 0.550246i −0.926512 0.376266i \(-0.877208\pi\)
0.376266 + 0.926512i \(0.377208\pi\)
\(108\) −10.0408 2.09863i −0.966176 0.201941i
\(109\) 12.1610i 1.16481i −0.812899 0.582405i \(-0.802112\pi\)
0.812899 0.582405i \(-0.197888\pi\)
\(110\) 0.0740282 + 1.56527i 0.00705831 + 0.149242i
\(111\) 3.93973 + 4.02338i 0.373943 + 0.381882i
\(112\) 9.12124 6.38676i 0.861876 0.603492i
\(113\) 3.69017 + 1.72075i 0.347142 + 0.161875i 0.588366 0.808594i \(-0.299771\pi\)
−0.241225 + 0.970469i \(0.577549\pi\)
\(114\) 0.130247 0.181915i 0.0121988 0.0170379i
\(115\) −5.29680 2.73297i −0.493929 0.254851i
\(116\) −4.61962 + 2.66714i −0.428921 + 0.247638i
\(117\) 6.26450 12.7291i 0.579153 1.17681i
\(118\) 0.191208 + 0.713599i 0.0176021 + 0.0656921i
\(119\) −15.9655 5.81095i −1.46355 0.532689i
\(120\) 1.66059 + 1.83743i 0.151591 + 0.167734i
\(121\) −6.10389 5.12177i −0.554899 0.465616i
\(122\) −1.93965 + 0.169698i −0.175608 + 0.0153637i
\(123\) 7.64665 + 1.43128i 0.689475 + 0.129054i
\(124\) 4.95815 13.6224i 0.445255 1.22333i
\(125\) 11.0999 + 1.33867i 0.992806 + 0.119734i
\(126\) −1.32328 + 0.450389i −0.117887 + 0.0401238i
\(127\) −0.200655 + 0.748856i −0.0178053 + 0.0664502i −0.974257 0.225441i \(-0.927618\pi\)
0.956452 + 0.291891i \(0.0942844\pi\)
\(128\) −2.85853 + 4.08240i −0.252661 + 0.360837i
\(129\) −9.67943 6.93025i −0.852226 0.610175i
\(130\) −1.50640 + 0.791137i −0.132120 + 0.0693873i
\(131\) −7.46979 1.31713i −0.652639 0.115078i −0.162481 0.986712i \(-0.551950\pi\)
−0.490158 + 0.871634i \(0.663061\pi\)
\(132\) −14.8908 0.156414i −1.29608 0.0136141i
\(133\) −0.202605 + 2.31579i −0.0175681 + 0.200804i
\(134\) 1.07453 0.0928254
\(135\) 5.07560 + 10.4517i 0.436838 + 0.899540i
\(136\) 3.75194 0.321726
\(137\) −0.863173 + 9.86611i −0.0737459 + 0.842919i 0.865776 + 0.500431i \(0.166825\pi\)
−0.939522 + 0.342488i \(0.888730\pi\)
\(138\) −0.378179 + 0.639419i −0.0321927 + 0.0544310i
\(139\) −14.8464 2.61782i −1.25926 0.222041i −0.496105 0.868262i \(-0.665237\pi\)
−0.763150 + 0.646222i \(0.776348\pi\)
\(140\) −12.2047 3.79952i −1.03148 0.321118i
\(141\) −0.934757 + 9.53029i −0.0787208 + 0.802595i
\(142\) 0.598365 0.854554i 0.0502137 0.0717126i
\(143\) 5.33066 19.8943i 0.445772 1.66364i
\(144\) −8.99088 + 7.22791i −0.749240 + 0.602326i
\(145\) 5.59054 + 2.29197i 0.464269 + 0.190337i
\(146\) 0.530875 1.45857i 0.0439355 0.120712i
\(147\) 1.56142 1.82162i 0.128783 0.150244i
\(148\) 6.39361 0.559369i 0.525552 0.0459798i
\(149\) 11.3083 + 9.48879i 0.926412 + 0.777352i 0.975170 0.221459i \(-0.0710818\pi\)
−0.0487579 + 0.998811i \(0.515526\pi\)
\(150\) 0.246440 1.37154i 0.0201218 0.111985i
\(151\) −2.23835 0.814693i −0.182154 0.0662987i 0.249333 0.968418i \(-0.419789\pi\)
−0.431487 + 0.902119i \(0.642011\pi\)
\(152\) −0.132865 0.495858i −0.0107768 0.0402194i
\(153\) 16.9027 + 4.91185i 1.36650 + 0.397100i
\(154\) −1.75742 + 1.01465i −0.141617 + 0.0817626i
\(155\) −15.6423 + 4.99444i −1.25642 + 0.401163i
\(156\) −6.67935 14.7258i −0.534776 1.17901i
\(157\) 7.10700 + 3.31405i 0.567200 + 0.264490i 0.684995 0.728548i \(-0.259805\pi\)
−0.117794 + 0.993038i \(0.537582\pi\)
\(158\) −0.0661316 + 0.0463058i −0.00526114 + 0.00368389i
\(159\) −1.12213 + 4.01852i −0.0889905 + 0.318689i
\(160\) 4.23858 0.200461i 0.335089 0.0158478i
\(161\) 7.71863i 0.608313i
\(162\) 1.33703 0.556355i 0.105047 0.0437114i
\(163\) 10.1968 10.1968i 0.798677 0.798677i −0.184210 0.982887i \(-0.558973\pi\)
0.982887 + 0.184210i \(0.0589726\pi\)
\(164\) 6.79225 5.69937i 0.530385 0.445046i
\(165\) 10.1762 + 13.4524i 0.792213 + 1.04727i
\(166\) −0.250219 + 1.41906i −0.0194208 + 0.110141i
\(167\) 2.74303 5.88244i 0.212262 0.455197i −0.771133 0.636673i \(-0.780310\pi\)
0.983395 + 0.181477i \(0.0580877\pi\)
\(168\) −1.12854 + 3.00215i −0.0870689 + 0.231621i
\(169\) 9.22155 1.62601i 0.709350 0.125078i
\(170\) −1.29120 1.67015i −0.0990303 0.128094i
\(171\) 0.0505891 2.40781i 0.00386865 0.184130i
\(172\) −13.1060 + 3.51174i −0.999321 + 0.267767i
\(173\) −4.90021 10.5085i −0.372556 0.798949i −0.999797 0.0201240i \(-0.993594\pi\)
0.627242 0.778825i \(-0.284184\pi\)
\(174\) 0.325417 0.679143i 0.0246698 0.0514857i
\(175\) 5.05051 + 13.5692i 0.381782 + 1.02573i
\(176\) −10.7649 + 12.8292i −0.811438 + 0.967034i
\(177\) 6.03781 + 5.17536i 0.453829 + 0.389004i
\(178\) −1.99712 + 0.931272i −0.149690 + 0.0698018i
\(179\) 3.42048 5.92444i 0.255658 0.442813i −0.709416 0.704790i \(-0.751041\pi\)
0.965074 + 0.261977i \(0.0843744\pi\)
\(180\) 12.8770 + 3.09053i 0.959799 + 0.230354i
\(181\) −8.12103 14.0660i −0.603631 1.04552i −0.992266 0.124128i \(-0.960387\pi\)
0.388635 0.921392i \(-0.372947\pi\)
\(182\) −1.80497 1.26386i −0.133794 0.0936832i
\(183\) −16.1959 + 13.3026i −1.19724 + 0.983357i
\(184\) 0.582977 + 1.60172i 0.0429776 + 0.118080i
\(185\) −4.93073 5.34194i −0.362515 0.392747i
\(186\) 0.508907 + 1.98232i 0.0373149 + 0.145351i
\(187\) 25.4563 + 2.22713i 1.86155 + 0.162864i
\(188\) 7.71757 + 7.71757i 0.562861 + 0.562861i
\(189\) −9.01442 + 12.0474i −0.655702 + 0.876322i
\(190\) −0.175003 + 0.229789i −0.0126961 + 0.0166707i
\(191\) −13.1571 15.6801i −0.952017 1.13457i −0.990802 0.135322i \(-0.956793\pi\)
0.0387846 0.999248i \(-0.487651\pi\)
\(192\) −0.134357 + 12.7910i −0.00969639 + 0.923111i
\(193\) 4.46650 + 6.37883i 0.321506 + 0.459158i 0.947076 0.321010i \(-0.104022\pi\)
−0.625570 + 0.780168i \(0.715133\pi\)
\(194\) −1.10220 + 0.401167i −0.0791332 + 0.0288021i
\(195\) −8.56869 + 16.1875i −0.613616 + 1.15921i
\(196\) −0.474846 2.69298i −0.0339176 0.192356i
\(197\) −5.11454 1.37044i −0.364396 0.0976395i 0.0719752 0.997406i \(-0.477070\pi\)
−0.436371 + 0.899767i \(0.643736\pi\)
\(198\) 1.74711 1.16943i 0.124162 0.0831077i
\(199\) 24.0896 + 13.9081i 1.70766 + 0.985920i 0.937440 + 0.348148i \(0.113189\pi\)
0.770225 + 0.637773i \(0.220144\pi\)
\(200\) −2.07291 2.43432i −0.146577 0.172133i
\(201\) 9.54391 6.53441i 0.673176 0.460902i
\(202\) 0.0737416 + 0.842870i 0.00518844 + 0.0593041i
\(203\) 0.681958 + 7.79481i 0.0478640 + 0.547088i
\(204\) 16.5537 11.3338i 1.15899 0.793521i
\(205\) −9.81298 2.13819i −0.685368 0.149337i
\(206\) −0.523629 0.302317i −0.0364829 0.0210634i
\(207\) 0.529459 + 7.97904i 0.0368000 + 0.554582i
\(208\) −17.5651 4.70654i −1.21792 0.326340i
\(209\) −0.607127 3.44319i −0.0419958 0.238170i
\(210\) 1.72476 0.530801i 0.119020 0.0366288i
\(211\) 8.85421 3.22267i 0.609549 0.221858i −0.0187568 0.999824i \(-0.505971\pi\)
0.628306 + 0.777966i \(0.283749\pi\)
\(212\) 2.72754 + 3.89534i 0.187328 + 0.267533i
\(213\) 0.117948 11.2288i 0.00808168 0.769388i
\(214\) −0.832546 0.992189i −0.0569116 0.0678247i
\(215\) 12.2267 + 9.31165i 0.833855 + 0.635049i
\(216\) 0.960684 3.18085i 0.0653663 0.216429i
\(217\) −15.0362 15.0362i −1.02072 1.02072i
\(218\) 1.94935 + 0.170546i 0.132026 + 0.0115508i
\(219\) −4.15460 16.1832i −0.280742 1.09356i
\(220\) 19.2097 + 0.768938i 1.29512 + 0.0518418i
\(221\) 9.48994 + 26.0734i 0.638363 + 1.75389i
\(222\) −0.700179 + 0.575097i −0.0469930 + 0.0385980i
\(223\) −8.50538 5.95553i −0.569562 0.398812i 0.253017 0.967462i \(-0.418577\pi\)
−0.822580 + 0.568650i \(0.807466\pi\)
\(224\) 2.74756 + 4.75892i 0.183579 + 0.317969i
\(225\) −6.15168 13.6805i −0.410112 0.912035i
\(226\) −0.327580 + 0.567385i −0.0217903 + 0.0377419i
\(227\) 13.6725 6.37560i 0.907477 0.423164i 0.0878980 0.996129i \(-0.471985\pi\)
0.819579 + 0.572966i \(0.194207\pi\)
\(228\) −2.08408 1.78639i −0.138022 0.118306i
\(229\) −0.604581 + 0.720511i −0.0399518 + 0.0476127i −0.785650 0.618671i \(-0.787671\pi\)
0.745699 + 0.666284i \(0.232116\pi\)
\(230\) 0.512365 0.810725i 0.0337844 0.0534576i
\(231\) −9.43903 + 19.6992i −0.621043 + 1.29611i
\(232\) −0.730246 1.56602i −0.0479430 0.102814i
\(233\) −5.42572 + 1.45382i −0.355451 + 0.0952427i −0.432126 0.901813i \(-0.642236\pi\)
0.0766749 + 0.997056i \(0.475570\pi\)
\(234\) 1.95256 + 1.18268i 0.127643 + 0.0773145i
\(235\) 1.56919 12.2626i 0.102363 0.799923i
\(236\) 8.92598 1.57389i 0.581032 0.102452i
\(237\) −0.305782 + 0.813442i −0.0198627 + 0.0528387i
\(238\) 1.15537 2.47770i 0.0748914 0.160605i
\(239\) 2.69221 15.2683i 0.174144 0.987622i −0.764982 0.644051i \(-0.777252\pi\)
0.939127 0.343571i \(-0.111637\pi\)
\(240\) 11.8774 8.98473i 0.766682 0.579962i
\(241\) 14.6302 12.2762i 0.942414 0.790779i −0.0355896 0.999366i \(-0.511331\pi\)
0.978004 + 0.208587i \(0.0668865\pi\)
\(242\) 0.906597 0.906597i 0.0582783 0.0582783i
\(243\) 8.49215 13.0722i 0.544772 0.838584i
\(244\) 23.8877i 1.52925i
\(245\) −2.08427 + 2.29121i −0.133159 + 0.146380i
\(246\) −0.336665 + 1.20565i −0.0214650 + 0.0768695i
\(247\) 3.10982 2.17752i 0.197873 0.138552i
\(248\) 4.25587 + 1.98455i 0.270248 + 0.126019i
\(249\) 6.40714 + 14.1257i 0.406036 + 0.895177i
\(250\) −0.370248 + 1.76049i −0.0234165 + 0.111343i
\(251\) −10.8992 + 6.29267i −0.687953 + 0.397190i −0.802845 0.596188i \(-0.796681\pi\)
0.114892 + 0.993378i \(0.463348\pi\)
\(252\) 4.08965 + 16.6546i 0.257624 + 1.04914i
\(253\) 3.00463 + 11.2134i 0.188900 + 0.704983i
\(254\) −0.117224 0.0426661i −0.00735529 0.00267711i
\(255\) −21.6247 6.98213i −1.35419 0.437238i
\(256\) 10.7006 + 8.97889i 0.668789 + 0.561181i
\(257\) −29.5115 + 2.58192i −1.84088 + 0.161056i −0.953775 0.300521i \(-0.902840\pi\)
−0.887100 + 0.461576i \(0.847284\pi\)
\(258\) 1.24663 1.45438i 0.0776119 0.0905456i
\(259\) 3.21988 8.84654i 0.200073 0.549697i
\(260\) 8.05844 + 19.2570i 0.499763 + 1.19427i
\(261\) −1.23965 8.01102i −0.0767325 0.495869i
\(262\) 0.315886 1.17890i 0.0195155 0.0728328i
\(263\) 0.339036 0.484194i 0.0209059 0.0298567i −0.808563 0.588410i \(-0.799754\pi\)
0.829469 + 0.558553i \(0.188643\pi\)
\(264\) 0.470872 4.80075i 0.0289801 0.295466i
\(265\) 1.60107 5.14289i 0.0983529 0.315925i
\(266\) −0.368368 0.0649533i −0.0225861 0.00398254i
\(267\) −12.0750 + 20.4163i −0.738981 + 1.24946i
\(268\) 1.14897 13.1328i 0.0701847 0.802215i
\(269\) −29.5187 −1.79979 −0.899894 0.436108i \(-0.856357\pi\)
−0.899894 + 0.436108i \(0.856357\pi\)
\(270\) −1.74654 + 0.667020i −0.106291 + 0.0405935i
\(271\) −9.45815 −0.574542 −0.287271 0.957849i \(-0.592748\pi\)
−0.287271 + 0.957849i \(0.592748\pi\)
\(272\) 1.96638 22.4758i 0.119229 1.36280i
\(273\) −23.7174 0.249128i −1.43544 0.0150779i
\(274\) −1.56939 0.276725i −0.0948101 0.0167176i
\(275\) −12.6193 17.7469i −0.760974 1.07018i
\(276\) 7.41054 + 5.30578i 0.446062 + 0.319370i
\(277\) −11.6968 + 16.7047i −0.702792 + 1.00369i 0.296031 + 0.955178i \(0.404337\pi\)
−0.998823 + 0.0485123i \(0.984552\pi\)
\(278\) 0.627831 2.34310i 0.0376548 0.140530i
\(279\) 16.5749 + 14.5121i 0.992314 + 0.868816i
\(280\) 1.57064 3.83109i 0.0938636 0.228951i
\(281\) 7.06656 19.4152i 0.421555 1.15821i −0.529261 0.848459i \(-0.677531\pi\)
0.950816 0.309755i \(-0.100247\pi\)
\(282\) −1.51455 0.283490i −0.0901902 0.0168816i
\(283\) 12.8473 1.12399i 0.763693 0.0668145i 0.301348 0.953514i \(-0.402564\pi\)
0.462345 + 0.886700i \(0.347008\pi\)
\(284\) −9.80446 8.22692i −0.581787 0.488178i
\(285\) −0.156980 + 3.10519i −0.00929869 + 0.183936i
\(286\) 3.11420 + 1.13348i 0.184147 + 0.0670239i
\(287\) −3.36621 12.5629i −0.198701 0.741563i
\(288\) −3.16670 4.73101i −0.186599 0.278777i
\(289\) −15.0908 + 8.71266i −0.887692 + 0.512509i
\(290\) −0.445793 + 0.863996i −0.0261779 + 0.0507356i
\(291\) −7.35007 + 10.2658i −0.430869 + 0.601791i
\(292\) −17.2588 8.04791i −1.01000 0.470968i
\(293\) −27.6373 + 19.3518i −1.61459 + 1.13055i −0.710048 + 0.704153i \(0.751327\pi\)
−0.904538 + 0.426392i \(0.859784\pi\)
\(294\) 0.270099 + 0.275834i 0.0157525 + 0.0160870i
\(295\) −7.59429 6.90839i −0.442157 0.402222i
\(296\) 2.07897i 0.120837i
\(297\) 8.40622 21.0113i 0.487778 1.21920i
\(298\) −1.67960 + 1.67960i −0.0972964 + 0.0972964i
\(299\) −9.65629 + 8.10259i −0.558438 + 0.468585i
\(300\) −16.4993 4.47852i −0.952586 0.258568i
\(301\) −3.45606 + 19.6003i −0.199204 + 1.12974i
\(302\) 0.161982 0.347372i 0.00932102 0.0199890i
\(303\) 5.78060 + 7.03787i 0.332087 + 0.404315i
\(304\) −3.04006 + 0.536044i −0.174359 + 0.0307442i
\(305\) 21.4063 16.5493i 1.22572 0.947611i
\(306\) −1.02439 + 2.64054i −0.0585605 + 0.150950i
\(307\) −9.73639 + 2.60886i −0.555685 + 0.148895i −0.525723 0.850656i \(-0.676205\pi\)
−0.0299620 + 0.999551i \(0.509539\pi\)
\(308\) 10.5217 + 22.5639i 0.599532 + 1.28570i
\(309\) −6.48927 + 0.499116i −0.369162 + 0.0283937i
\(310\) −0.581216 2.57744i −0.0330109 0.146389i
\(311\) 16.5976 19.7803i 0.941166 1.12164i −0.0512465 0.998686i \(-0.516319\pi\)
0.992413 0.122952i \(-0.0392361\pi\)
\(312\) 4.94048 1.73964i 0.279700 0.0984878i
\(313\) 5.10324 2.37968i 0.288452 0.134508i −0.273007 0.962012i \(-0.588018\pi\)
0.561459 + 0.827505i \(0.310240\pi\)
\(314\) −0.630895 + 1.09274i −0.0356035 + 0.0616670i
\(315\) 12.0913 15.2031i 0.681268 0.856597i
\(316\) 0.495232 + 0.857767i 0.0278590 + 0.0482532i
\(317\) −1.51852 1.06328i −0.0852886 0.0597197i 0.530154 0.847901i \(-0.322134\pi\)
−0.615443 + 0.788181i \(0.711023\pi\)
\(318\) −0.628413 0.236228i −0.0352396 0.0132470i
\(319\) −4.02502 11.0586i −0.225358 0.619165i
\(320\) 0.660506 16.5008i 0.0369234 0.922423i
\(321\) −13.4283 3.74970i −0.749493 0.209288i
\(322\) 1.23726 + 0.108246i 0.0689498 + 0.00603233i
\(323\) 3.33059 + 3.33059i 0.185319 + 0.185319i
\(324\) −5.37005 16.9360i −0.298336 0.940889i
\(325\) 11.6738 20.5625i 0.647545 1.14060i
\(326\) 1.49150 + 1.77750i 0.0826067 + 0.0984469i
\(327\) 18.3511 10.3395i 1.01482 0.571777i
\(328\) 1.64739 + 2.35271i 0.0909618 + 0.129907i
\(329\) 15.0441 5.47561i 0.829409 0.301880i
\(330\) −2.29907 + 1.44253i −0.126559 + 0.0794089i
\(331\) −3.34434 18.9667i −0.183822 1.04251i −0.927460 0.373923i \(-0.878012\pi\)
0.743638 0.668583i \(-0.233099\pi\)
\(332\) 17.0761 + 4.57553i 0.937173 + 0.251115i
\(333\) −2.72168 + 9.36587i −0.149147 + 0.513247i
\(334\) 0.904459 + 0.522190i 0.0494898 + 0.0285730i
\(335\) −12.5646 + 8.06875i −0.686479 + 0.440843i
\(336\) 17.3928 + 8.33391i 0.948855 + 0.454652i
\(337\) 0.300674 + 3.43672i 0.0163788 + 0.187210i 0.999977 + 0.00683487i \(0.00217562\pi\)
−0.983598 + 0.180375i \(0.942269\pi\)
\(338\) 0.131318 + 1.50097i 0.00714277 + 0.0816423i
\(339\) 0.540823 + 7.03154i 0.0293735 + 0.381901i
\(340\) −21.7930 + 13.9950i −1.18189 + 0.758987i
\(341\) 27.6974 + 15.9911i 1.49990 + 0.865966i
\(342\) 0.385252 + 0.0418764i 0.0208320 + 0.00226442i
\(343\) 15.7049 + 4.20811i 0.847984 + 0.227217i
\(344\) −0.763205 4.32835i −0.0411493 0.233369i
\(345\) −0.379361 10.3166i −0.0204241 0.555426i
\(346\) 1.75319 0.638109i 0.0942520 0.0343049i
\(347\) 4.96478 + 7.09044i 0.266523 + 0.380635i 0.929998 0.367564i \(-0.119808\pi\)
−0.663475 + 0.748198i \(0.730919\pi\)
\(348\) −7.95246 4.70341i −0.426296 0.252129i
\(349\) −6.93929 8.26992i −0.371452 0.442679i 0.547645 0.836711i \(-0.315524\pi\)
−0.919097 + 0.394032i \(0.871080\pi\)
\(350\) −2.24590 + 0.619278i −0.120049 + 0.0331018i
\(351\) 24.5346 1.36936i 1.30956 0.0730910i
\(352\) −5.84410 5.84410i −0.311491 0.311491i
\(353\) −26.6492 2.33150i −1.41839 0.124093i −0.647990 0.761649i \(-0.724390\pi\)
−0.770405 + 0.637555i \(0.779946\pi\)
\(354\) −0.914260 + 0.895253i −0.0485924 + 0.0475822i
\(355\) −0.579839 + 14.4856i −0.0307746 + 0.768815i
\(356\) 9.24644 + 25.4044i 0.490060 + 1.34643i
\(357\) −4.80539 29.0327i −0.254328 1.53657i
\(358\) 0.901691 + 0.631371i 0.0476559 + 0.0333690i
\(359\) 6.82588 + 11.8228i 0.360256 + 0.623982i 0.988003 0.154436i \(-0.0493560\pi\)
−0.627747 + 0.778418i \(0.716023\pi\)
\(360\) −1.36084 + 4.06808i −0.0717224 + 0.214407i
\(361\) −9.17777 + 15.8964i −0.483041 + 0.836651i
\(362\) 2.36861 1.10450i 0.124491 0.0580513i
\(363\) 2.53916 13.5655i 0.133271 0.712004i
\(364\) −17.3767 + 20.7088i −0.910788 + 1.08544i
\(365\) 4.74491 + 21.0416i 0.248360 + 1.10137i
\(366\) −1.90521 2.78268i −0.0995871 0.145453i
\(367\) 5.50814 + 11.8122i 0.287523 + 0.616594i 0.996021 0.0891181i \(-0.0284049\pi\)
−0.708498 + 0.705712i \(0.750627\pi\)
\(368\) 9.90056 2.65285i 0.516103 0.138289i
\(369\) 4.34153 + 12.7558i 0.226011 + 0.664041i
\(370\) 0.925436 0.715458i 0.0481111 0.0371949i
\(371\) 6.86938 1.21126i 0.356640 0.0628853i
\(372\) 24.7719 4.10016i 1.28436 0.212583i
\(373\) −0.799956 + 1.71551i −0.0414201 + 0.0888258i −0.925929 0.377698i \(-0.876716\pi\)
0.884509 + 0.466523i \(0.154494\pi\)
\(374\) −0.713999 + 4.04929i −0.0369200 + 0.209384i
\(375\) 7.41732 + 17.8881i 0.383029 + 0.923736i
\(376\) −2.70829 + 2.27252i −0.139669 + 0.117196i
\(377\) 9.03572 9.03572i 0.465363 0.465363i
\(378\) −1.80473 1.61392i −0.0928252 0.0830112i
\(379\) 8.64900i 0.444270i 0.975016 + 0.222135i \(0.0713025\pi\)
−0.975016 + 0.222135i \(0.928698\pi\)
\(380\) 2.62133 + 2.38458i 0.134472 + 0.122326i
\(381\) −1.30063 + 0.333902i −0.0666335 + 0.0171063i
\(382\) 2.69796 1.88913i 0.138040 0.0966563i
\(383\) −15.4786 7.21777i −0.790917 0.368811i −0.0151943 0.999885i \(-0.504837\pi\)
−0.775723 + 0.631074i \(0.782614\pi\)
\(384\) −8.59078 0.842608i −0.438397 0.0429992i
\(385\) 12.9306 25.0610i 0.659007 1.27723i
\(386\) −1.08513 + 0.626503i −0.0552319 + 0.0318881i
\(387\) 2.22818 20.4986i 0.113265 1.04200i
\(388\) 3.72447 + 13.8999i 0.189081 + 0.705661i
\(389\) 0.823821 + 0.299846i 0.0417694 + 0.0152028i 0.362820 0.931859i \(-0.381814\pi\)
−0.321051 + 0.947062i \(0.604036\pi\)
\(390\) −2.47461 1.60053i −0.125307 0.0810462i
\(391\) −11.9805 10.0529i −0.605882 0.508395i
\(392\) 0.882413 0.0772012i 0.0445686 0.00389925i
\(393\) −4.36343 12.3919i −0.220106 0.625087i
\(394\) 0.291401 0.800617i 0.0146806 0.0403345i
\(395\) 0.425570 1.03805i 0.0214127 0.0522298i
\(396\) −12.4245 22.6035i −0.624354 1.13587i
\(397\) −0.598779 + 2.23467i −0.0300519 + 0.112155i −0.979323 0.202305i \(-0.935157\pi\)
0.949271 + 0.314460i \(0.101823\pi\)
\(398\) −2.56724 + 3.66640i −0.128684 + 0.183780i
\(399\) −3.66681 + 1.66320i −0.183570 + 0.0832641i
\(400\) −15.6691 + 11.1419i −0.783457 + 0.557093i
\(401\) 6.34251 + 1.11835i 0.316730 + 0.0558480i 0.329753 0.944067i \(-0.393035\pi\)
−0.0130235 + 0.999915i \(0.504146\pi\)
\(402\) 0.913591 + 1.62148i 0.0455658 + 0.0808722i
\(403\) −3.02667 + 34.5950i −0.150769 + 1.72330i
\(404\) 10.3803 0.516440
\(405\) −11.4564 + 16.5454i −0.569273 + 0.822149i
\(406\) −1.25904 −0.0624849
\(407\) −1.23407 + 14.1054i −0.0611704 + 0.699181i
\(408\) 3.18998 + 5.66172i 0.157928 + 0.280297i
\(409\) −27.7142 4.88676i −1.37038 0.241635i −0.560462 0.828180i \(-0.689376\pi\)
−0.809916 + 0.586546i \(0.800487\pi\)
\(410\) 0.480359 1.54299i 0.0237232 0.0762028i
\(411\) −15.6220 + 7.08585i −0.770576 + 0.349519i
\(412\) −4.25479 + 6.07648i −0.209619 + 0.299367i
\(413\) 3.44101 12.8420i 0.169321 0.631915i
\(414\) −1.28643 0.0270284i −0.0632245 0.00132837i
\(415\) −7.73003 18.4722i −0.379452 0.906765i
\(416\) 3.06934 8.43295i 0.150487 0.413459i
\(417\) −8.67242 24.6291i −0.424690 1.20609i
\(418\) 0.560441 0.0490322i 0.0274121 0.00239824i
\(419\) 28.5256 + 23.9358i 1.39357 + 1.16934i 0.963872 + 0.266365i \(0.0858226\pi\)
0.429693 + 0.902975i \(0.358622\pi\)
\(420\) −4.64315 21.6474i −0.226563 1.05629i
\(421\) 27.5767 + 10.0371i 1.34400 + 0.489178i 0.911071 0.412249i \(-0.135256\pi\)
0.432933 + 0.901426i \(0.357479\pi\)
\(422\) 0.392407 + 1.46448i 0.0191021 + 0.0712900i
\(423\) −15.1761 + 6.69230i −0.737886 + 0.325391i
\(424\) −1.33400 + 0.770186i −0.0647849 + 0.0374036i
\(425\) 27.6394 + 9.83352i 1.34071 + 0.476996i
\(426\) 1.79828 + 0.176380i 0.0871268 + 0.00854565i
\(427\) 31.7567 + 14.8084i 1.53682 + 0.716629i
\(428\) −13.0167 + 9.11436i −0.629184 + 0.440559i
\(429\) 34.5530 8.87053i 1.66823 0.428273i
\(430\) −1.66408 + 1.82930i −0.0802492 + 0.0882167i
\(431\) 0.480686i 0.0231538i 0.999933 + 0.0115769i \(0.00368513\pi\)
−0.999933 + 0.0115769i \(0.996315\pi\)
\(432\) −18.5513 7.42202i −0.892548 0.357092i
\(433\) −5.55599 + 5.55599i −0.267004 + 0.267004i −0.827892 0.560888i \(-0.810460\pi\)
0.560888 + 0.827892i \(0.310460\pi\)
\(434\) 2.62110 2.19937i 0.125817 0.105573i
\(435\) 1.29460 + 10.3849i 0.0620712 + 0.497917i
\(436\) 4.16878 23.6423i 0.199648 1.13226i
\(437\) −0.904335 + 1.93935i −0.0432602 + 0.0927718i
\(438\) 2.65236 0.439009i 0.126735 0.0209767i
\(439\) 12.2268 2.15591i 0.583551 0.102896i 0.125924 0.992040i \(-0.459810\pi\)
0.457627 + 0.889144i \(0.348699\pi\)
\(440\) −0.790458 + 6.17712i −0.0376836 + 0.294483i
\(441\) 4.07640 + 0.807416i 0.194114 + 0.0384484i
\(442\) −4.31253 + 1.15554i −0.205126 + 0.0549634i
\(443\) 7.51833 + 16.1231i 0.357207 + 0.766033i 1.00000 7.21597e-6i \(-2.29692e-6\pi\)
−0.642793 + 0.766040i \(0.722225\pi\)
\(444\) 6.28009 + 9.17246i 0.298040 + 0.435306i
\(445\) 16.3596 25.8860i 0.775517 1.22711i
\(446\) 1.07392 1.27985i 0.0508517 0.0606028i
\(447\) −4.70414 + 25.1320i −0.222498 + 1.18870i
\(448\) 19.3821 9.03801i 0.915717 0.427006i
\(449\) −1.91039 + 3.30889i −0.0901568 + 0.156156i −0.907577 0.419886i \(-0.862070\pi\)
0.817420 + 0.576042i \(0.195403\pi\)
\(450\) 2.27920 0.794229i 0.107442 0.0374403i
\(451\) 9.78070 + 16.9407i 0.460555 + 0.797705i
\(452\) 6.58425 + 4.61034i 0.309697 + 0.216852i
\(453\) −0.673713 4.07037i −0.0316538 0.191243i
\(454\) 0.830236 + 2.28105i 0.0389649 + 0.107055i
\(455\) 30.5962 + 1.22472i 1.43437 + 0.0574160i
\(456\) 0.635292 0.622085i 0.0297503 0.0291318i
\(457\) −22.0047 1.92516i −1.02934 0.0900553i −0.440045 0.897976i \(-0.645038\pi\)
−0.589292 + 0.807920i \(0.700593\pi\)
\(458\) −0.107016 0.107016i −0.00500053 0.00500053i
\(459\) 6.95901 + 29.6826i 0.324819 + 1.38546i
\(460\) −9.36073 7.12897i −0.436446 0.332390i
\(461\) 4.15610 + 4.95304i 0.193569 + 0.230686i 0.854095 0.520116i \(-0.174111\pi\)
−0.660527 + 0.750803i \(0.729667\pi\)
\(462\) −3.02531 1.78929i −0.140750 0.0832455i
\(463\) −0.176051 0.251426i −0.00818177 0.0116848i 0.815040 0.579404i \(-0.196715\pi\)
−0.823222 + 0.567719i \(0.807826\pi\)
\(464\) −9.76390 + 3.55377i −0.453278 + 0.164980i
\(465\) −20.8361 19.3581i −0.966253 0.897711i
\(466\) −0.156950 0.890106i −0.00727056 0.0412334i
\(467\) −41.3450 11.0784i −1.91322 0.512645i −0.992470 0.122489i \(-0.960912\pi\)
−0.920749 0.390156i \(-0.872421\pi\)
\(468\) 16.5425 22.5994i 0.764676 1.04466i
\(469\) −16.7467 9.66873i −0.773292 0.446460i
\(470\) 1.94363 + 0.423505i 0.0896530 + 0.0195348i
\(471\) 1.04159 + 13.5422i 0.0479938 + 0.623993i
\(472\) 0.255886 + 2.92479i 0.0117781 + 0.134624i
\(473\) −2.60893 29.8202i −0.119959 1.37113i
\(474\) −0.126103 0.0604232i −0.00579209 0.00277533i
\(475\) 0.320829 4.00107i 0.0147206 0.183582i
\(476\) −29.0467 16.7701i −1.33135 0.768658i
\(477\) −7.01805 + 1.72333i −0.321335 + 0.0789058i
\(478\) 2.40968 + 0.645671i 0.110216 + 0.0295323i
\(479\) −7.22789 40.9914i −0.330251 1.87295i −0.469863 0.882740i \(-0.655697\pi\)
0.139612 0.990206i \(-0.455415\pi\)
\(480\) 3.90624 + 6.22564i 0.178295 + 0.284160i
\(481\) −14.4474 + 5.25842i −0.658745 + 0.239763i
\(482\) 1.76264 + 2.51732i 0.0802862 + 0.114661i
\(483\) 11.6475 6.56255i 0.529980 0.298606i
\(484\) −10.1109 12.0497i −0.459588 0.547716i
\(485\) 9.87573 12.9674i 0.448434 0.588819i
\(486\) 1.97632 + 1.54458i 0.0896479 + 0.0700635i
\(487\) 16.8595 + 16.8595i 0.763975 + 0.763975i 0.977038 0.213064i \(-0.0683442\pi\)
−0.213064 + 0.977038i \(0.568344\pi\)
\(488\) −7.70840 0.674397i −0.348943 0.0305285i
\(489\) 24.0567 + 6.71758i 1.08788 + 0.303779i
\(490\) −0.338040 0.366232i −0.0152711 0.0165447i
\(491\) −5.41828 14.8866i −0.244524 0.671823i −0.999864 0.0164907i \(-0.994751\pi\)
0.755340 0.655333i \(-0.227472\pi\)
\(492\) 14.3753 + 5.40386i 0.648091 + 0.243625i
\(493\) 12.9870 + 9.09358i 0.584904 + 0.409554i
\(494\) 0.305434 + 0.529027i 0.0137421 + 0.0238020i
\(495\) −11.6478 + 26.7935i −0.523532 + 1.20428i
\(496\) 14.1189 24.4546i 0.633955 1.09804i
\(497\) −17.0150 + 7.93420i −0.763225 + 0.355898i
\(498\) −2.35413 + 0.828936i −0.105491 + 0.0371455i
\(499\) 0.350248 0.417409i 0.0156792 0.0186858i −0.758148 0.652083i \(-0.773895\pi\)
0.773827 + 0.633397i \(0.218340\pi\)
\(500\) 21.1206 + 6.40758i 0.944543 + 0.286556i
\(501\) 11.2089 0.862118i 0.500775 0.0385166i
\(502\) −0.855835 1.83534i −0.0381978 0.0819154i
\(503\) −18.7290 + 5.01841i −0.835083 + 0.223760i −0.650930 0.759138i \(-0.725621\pi\)
−0.184153 + 0.982898i \(0.558954\pi\)
\(504\) −5.48979 + 0.849509i −0.244535 + 0.0378401i
\(505\) −7.19145 9.30204i −0.320015 0.413936i
\(506\) −1.83960 + 0.324371i −0.0817801 + 0.0144200i
\(507\) 10.2940 + 12.5330i 0.457174 + 0.556609i
\(508\) −0.646805 + 1.38708i −0.0286974 + 0.0615417i
\(509\) 4.57685 25.9566i 0.202865 1.15051i −0.697898 0.716197i \(-0.745881\pi\)
0.900764 0.434310i \(-0.143008\pi\)
\(510\) 1.42247 3.36843i 0.0629880 0.149157i
\(511\) −21.3981 + 17.9551i −0.946595 + 0.794287i
\(512\) −8.63735 + 8.63735i −0.381720 + 0.381720i
\(513\) 3.67644 1.97084i 0.162319 0.0870146i
\(514\) 4.76676i 0.210253i
\(515\) 8.39298 0.396940i 0.369839 0.0174913i
\(516\) −16.4423 16.7913i −0.723830 0.739197i
\(517\) −19.7242 + 13.8111i −0.867471 + 0.607410i
\(518\) 1.37290 + 0.640195i 0.0603219 + 0.0281286i
\(519\) 11.6912 16.3291i 0.513189 0.716767i
\(520\) −6.44161 + 2.05674i −0.282483 + 0.0901940i
\(521\) −6.99745 + 4.03998i −0.306564 + 0.176995i −0.645388 0.763855i \(-0.723304\pi\)
0.338824 + 0.940850i \(0.389971\pi\)
\(522\) 1.30151 0.0863636i 0.0569657 0.00378003i
\(523\) −9.26181 34.5655i −0.404991 1.51145i −0.804073 0.594530i \(-0.797338\pi\)
0.399083 0.916915i \(-0.369329\pi\)
\(524\) −14.0706 5.12130i −0.614679 0.223725i
\(525\) −16.1820 + 19.1581i −0.706241 + 0.836128i
\(526\) 0.0728594 + 0.0611363i 0.00317682 + 0.00266567i
\(527\) −42.9220 + 3.75519i −1.86971 + 0.163579i
\(528\) −28.5120 5.33681i −1.24082 0.232255i
\(529\) −5.43640 + 14.9364i −0.236365 + 0.649408i
\(530\) 0.801928 + 0.328768i 0.0348335 + 0.0142808i
\(531\) −2.67621 + 13.5113i −0.116137 + 0.586342i
\(532\) −1.18774 + 4.43271i −0.0514951 + 0.192182i
\(533\) −12.1830 + 17.3991i −0.527702 + 0.753637i
\(534\) −3.10330 2.22189i −0.134293 0.0961507i
\(535\) 17.1855 + 5.35013i 0.742993 + 0.231306i
\(536\) 4.20543 + 0.741531i 0.181647 + 0.0320293i
\(537\) 11.8482 + 0.124454i 0.511289 + 0.00537059i
\(538\) 0.413971 4.73172i 0.0178476 0.203999i
\(539\) 6.03285 0.259853
\(540\) 6.28471 + 22.0593i 0.270451 + 0.949280i
\(541\) −6.99126 −0.300578 −0.150289 0.988642i \(-0.548020\pi\)
−0.150289 + 0.988642i \(0.548020\pi\)
\(542\) 0.132641 1.51610i 0.00569743 0.0651220i
\(543\) 14.3212 24.2140i 0.614580 1.03912i
\(544\) 10.9651 + 1.93344i 0.470123 + 0.0828954i
\(545\) −24.0746 + 12.6436i −1.03124 + 0.541592i
\(546\) 0.372547 3.79829i 0.0159435 0.162552i
\(547\) 6.72270 9.60101i 0.287442 0.410509i −0.649299 0.760533i \(-0.724938\pi\)
0.936741 + 0.350024i \(0.113826\pi\)
\(548\) −5.06022 + 18.8850i −0.216162 + 0.806727i
\(549\) −33.8439 13.1297i −1.44442 0.560360i
\(550\) 3.02173 1.77394i 0.128847 0.0756409i
\(551\) 0.741915 2.03839i 0.0316066 0.0868385i
\(552\) −1.92135 + 2.24154i −0.0817781 + 0.0954061i
\(553\) 1.44733 0.126625i 0.0615469 0.00538465i
\(554\) −2.51366 2.10921i −0.106795 0.0896117i
\(555\) 3.86883 11.9824i 0.164223 0.508624i
\(556\) −27.9658 10.1787i −1.18601 0.431673i
\(557\) −3.09577 11.5536i −0.131172 0.489541i 0.868812 0.495142i \(-0.164884\pi\)
−0.999984 + 0.00560082i \(0.998217\pi\)
\(558\) −2.55867 + 2.45336i −0.108317 + 0.103859i
\(559\) 28.1487 16.2516i 1.19056 0.687371i
\(560\) −22.1268 11.4167i −0.935030 0.482445i
\(561\) 18.2827 + 40.3074i 0.771897 + 1.70178i
\(562\) 3.01306 + 1.40502i 0.127098 + 0.0592670i
\(563\) 6.90509 4.83500i 0.291015 0.203771i −0.418947 0.908010i \(-0.637601\pi\)
0.709962 + 0.704240i \(0.248712\pi\)
\(564\) −5.08426 + 18.2076i −0.214086 + 0.766677i
\(565\) −0.430110 9.09432i −0.0180949 0.382601i
\(566\) 2.07513i 0.0872241i
\(567\) −25.8440 3.35988i −1.08535 0.141102i
\(568\) 2.93157 2.93157i 0.123006 0.123006i
\(569\) 9.07677 7.61631i 0.380518 0.319292i −0.432388 0.901688i \(-0.642329\pi\)
0.812906 + 0.582395i \(0.197884\pi\)
\(570\) −0.495547 0.0687105i −0.0207562 0.00287797i
\(571\) 5.84395 33.1427i 0.244562 1.38698i −0.576946 0.816782i \(-0.695756\pi\)
0.821508 0.570197i \(-0.193133\pi\)
\(572\) 17.1832 36.8495i 0.718465 1.54075i
\(573\) 12.4749 33.1858i 0.521148 1.38636i
\(574\) 2.06098 0.363406i 0.0860235 0.0151683i
\(575\) 0.0966484 + 13.3273i 0.00403052 + 0.555787i
\(576\) −19.4160 + 10.6725i −0.809001 + 0.444685i
\(577\) 28.4975 7.63587i 1.18637 0.317886i 0.388917 0.921273i \(-0.372849\pi\)
0.797448 + 0.603387i \(0.206183\pi\)
\(578\) −1.18497 2.54117i −0.0492881 0.105699i
\(579\) −5.82821 + 12.1634i −0.242212 + 0.505495i
\(580\) 10.0830 + 6.37229i 0.418673 + 0.264595i
\(581\) 16.6686 19.8648i 0.691529 0.824132i
\(582\) −1.54248 1.32215i −0.0639378 0.0548049i
\(583\) −9.50816 + 4.43373i −0.393788 + 0.183626i
\(584\) 3.08426 5.34209i 0.127627 0.221057i
\(585\) −31.7124 + 0.832700i −1.31115 + 0.0344279i
\(586\) −2.71442 4.70152i −0.112132 0.194218i
\(587\) 18.6182 + 13.0366i 0.768453 + 0.538077i 0.890792 0.454412i \(-0.150150\pi\)
−0.122338 + 0.992488i \(0.539039\pi\)
\(588\) 3.66003 3.00618i 0.150937 0.123973i
\(589\) 2.01626 + 5.53962i 0.0830784 + 0.228256i
\(590\) 1.21389 1.12045i 0.0499749 0.0461280i
\(591\) −2.28049 8.88308i −0.0938067 0.365401i
\(592\) 12.4540 + 1.08958i 0.511855 + 0.0447815i
\(593\) −9.57575 9.57575i −0.393229 0.393229i 0.482608 0.875837i \(-0.339690\pi\)
−0.875837 + 0.482608i \(0.839690\pi\)
\(594\) 3.25012 + 1.64214i 0.133354 + 0.0673778i
\(595\) 5.09536 + 37.6477i 0.208889 + 1.54341i
\(596\) 18.7319 + 22.3238i 0.767288 + 0.914419i
\(597\) −0.506047 + 48.1765i −0.0207111 + 1.97173i
\(598\) −1.16339 1.66149i −0.0475744 0.0679433i
\(599\) −13.5529 + 4.93284i −0.553755 + 0.201550i −0.603714 0.797201i \(-0.706313\pi\)
0.0499591 + 0.998751i \(0.484091\pi\)
\(600\) 1.91099 5.19776i 0.0780160 0.212198i
\(601\) 4.30406 + 24.4095i 0.175566 + 0.995686i 0.937488 + 0.348017i \(0.113145\pi\)
−0.761922 + 0.647669i \(0.775744\pi\)
\(602\) −3.09337 0.828865i −0.126076 0.0337820i
\(603\) 17.9750 + 8.84619i 0.731997 + 0.360245i
\(604\) −4.07234 2.35117i −0.165701 0.0956676i
\(605\) −3.79324 + 17.4087i −0.154217 + 0.707763i
\(606\) −1.20921 + 0.827904i −0.0491206 + 0.0336313i
\(607\) −2.42989 27.7738i −0.0986264 1.12730i −0.870714 0.491789i \(-0.836343\pi\)
0.772088 0.635516i \(-0.219212\pi\)
\(608\) −0.132774 1.51762i −0.00538471 0.0615476i
\(609\) −11.1827 + 7.65641i −0.453144 + 0.310253i
\(610\) 2.35258 + 3.66342i 0.0952530 + 0.148328i
\(611\) −22.6427 13.0728i −0.916025 0.528867i
\(612\) 31.1771 + 15.3435i 1.26026 + 0.620223i
\(613\) 32.4313 + 8.68995i 1.30989 + 0.350984i 0.845181 0.534480i \(-0.179493\pi\)
0.464708 + 0.885464i \(0.346159\pi\)
\(614\) −0.281645 1.59729i −0.0113662 0.0644612i
\(615\) −5.11667 16.6259i −0.206324 0.670419i
\(616\) −7.57828 + 2.75827i −0.305337 + 0.111134i
\(617\) 16.2918 + 23.2671i 0.655884 + 0.936700i 0.999998 0.00222854i \(-0.000709368\pi\)
−0.344113 + 0.938928i \(0.611820\pi\)
\(618\) 0.0109998 1.04720i 0.000442478 0.0421246i
\(619\) 16.2376 + 19.3513i 0.652646 + 0.777793i 0.986310 0.164899i \(-0.0527299\pi\)
−0.333665 + 0.942692i \(0.608285\pi\)
\(620\) −32.1226 + 4.34757i −1.29008 + 0.174603i
\(621\) −11.5903 + 7.58292i −0.465103 + 0.304292i
\(622\) 2.93792 + 2.93792i 0.117800 + 0.117800i
\(623\) 39.5050 + 3.45624i 1.58274 + 0.138471i
\(624\) −7.83197 30.5075i −0.313530 1.22128i
\(625\) −8.89031 23.3658i −0.355613 0.934633i
\(626\) 0.309884 + 0.851399i 0.0123854 + 0.0340287i
\(627\) 4.67962 3.84364i 0.186886 0.153500i
\(628\) 12.6808 + 8.87918i 0.506018 + 0.354318i
\(629\) −9.53762 16.5196i −0.380290 0.658681i
\(630\) 2.26742 + 2.15139i 0.0903361 + 0.0857134i
\(631\) 2.76033 4.78103i 0.109887 0.190330i −0.805837 0.592137i \(-0.798284\pi\)
0.915724 + 0.401807i \(0.131618\pi\)
\(632\) −0.290777 + 0.135591i −0.0115665 + 0.00539354i
\(633\) 12.3911 + 10.6211i 0.492502 + 0.422153i
\(634\) 0.191734 0.228500i 0.00761475 0.00907490i
\(635\) 1.69110 0.381346i 0.0671092 0.0151332i
\(636\) −3.55910 + 7.42780i −0.141127 + 0.294532i
\(637\) 2.76842 + 5.93690i 0.109689 + 0.235229i
\(638\) 1.82910 0.490105i 0.0724146 0.0194034i
\(639\) 17.0448 9.36903i 0.674280 0.370633i
\(640\) 11.0537 + 1.41450i 0.436937 + 0.0559129i
\(641\) −45.0144 + 7.93726i −1.77796 + 0.313503i −0.963699 0.266991i \(-0.913971\pi\)
−0.814264 + 0.580494i \(0.802859\pi\)
\(642\) 0.789378 2.09990i 0.0311543 0.0828766i
\(643\) 6.68798 14.3424i 0.263748 0.565610i −0.729181 0.684321i \(-0.760099\pi\)
0.992929 + 0.118711i \(0.0378763\pi\)
\(644\) 2.64595 15.0059i 0.104265 0.591316i
\(645\) −3.65598 + 26.3673i −0.143954 + 1.03821i
\(646\) −0.580587 + 0.487170i −0.0228429 + 0.0191675i
\(647\) 8.27160 8.27160i 0.325190 0.325190i −0.525564 0.850754i \(-0.676146\pi\)
0.850754 + 0.525564i \(0.176146\pi\)
\(648\) 5.61674 1.25474i 0.220646 0.0492909i
\(649\) 19.9961i 0.784915i
\(650\) 3.13237 + 2.15962i 0.122861 + 0.0847074i
\(651\) 9.90572 35.4740i 0.388236 1.39033i
\(652\) 23.3193 16.3284i 0.913255 0.639468i
\(653\) 44.7948 + 20.8882i 1.75296 + 0.817417i 0.984012 + 0.178100i \(0.0569952\pi\)
0.768944 + 0.639316i \(0.220783\pi\)
\(654\) 1.40002 + 3.08659i 0.0547452 + 0.120695i
\(655\) 5.15878 + 16.1571i 0.201570 + 0.631308i
\(656\) 14.9572 8.63557i 0.583982 0.337162i
\(657\) 20.8884 20.0287i 0.814933 0.781393i
\(658\) 0.666736 + 2.48829i 0.0259921 + 0.0970037i
\(659\) 25.0705 + 9.12491i 0.976607 + 0.355456i 0.780520 0.625130i \(-0.214954\pi\)
0.196087 + 0.980586i \(0.437176\pi\)
\(660\) 15.1722 + 29.6414i 0.590575 + 1.15379i
\(661\) −33.2465 27.8971i −1.29314 1.08507i −0.991287 0.131716i \(-0.957951\pi\)
−0.301851 0.953355i \(-0.597604\pi\)
\(662\) 3.08718 0.270093i 0.119987 0.0104975i
\(663\) −31.2766 + 36.4886i −1.21468 + 1.41710i
\(664\) −1.95858 + 5.38117i −0.0760078 + 0.208830i
\(665\) 4.79511 2.00660i 0.185947 0.0778127i
\(666\) −1.46314 0.567620i −0.0566954 0.0219948i
\(667\) −1.86416 + 6.95716i −0.0721808 + 0.269382i
\(668\) 7.34927 10.4958i 0.284352 0.406096i
\(669\) 1.75551 17.8983i 0.0678720 0.691987i
\(670\) −1.11718 2.12721i −0.0431603 0.0821812i
\(671\) −51.8999 9.15135i −2.00357 0.353284i
\(672\) −4.84523 + 8.19225i −0.186909 + 0.316023i
\(673\) 0.873070 9.97924i 0.0336544 0.384671i −0.960624 0.277852i \(-0.910378\pi\)
0.994278 0.106820i \(-0.0340668\pi\)
\(674\) −0.555107 −0.0213819
\(675\) 15.4138 20.9145i 0.593278 0.804998i
\(676\) 18.4852 0.710968
\(677\) 3.14213 35.9148i 0.120762 1.38032i −0.658010 0.753009i \(-0.728602\pi\)
0.778772 0.627307i \(-0.215843\pi\)
\(678\) −1.13471 0.0119190i −0.0435782 0.000457747i
\(679\) 20.7876 + 3.66542i 0.797756 + 0.140666i
\(680\) −3.90084 7.42756i −0.149590 0.284834i
\(681\) 21.2456 + 15.2113i 0.814131 + 0.582900i
\(682\) −2.95173 + 4.21550i −0.113027 + 0.161420i
\(683\) −10.9399 + 40.8281i −0.418602 + 1.56224i 0.358908 + 0.933373i \(0.383149\pi\)
−0.777510 + 0.628871i \(0.783517\pi\)
\(684\) 0.923751 4.66373i 0.0353205 0.178322i
\(685\) 20.4290 8.54887i 0.780551 0.326636i
\(686\) −0.894787 + 2.45841i −0.0341631 + 0.0938624i
\(687\) −1.60129 0.299726i −0.0610930 0.0114352i
\(688\) −26.3288 + 2.30347i −1.00378 + 0.0878191i
\(689\) −8.72642 7.32234i −0.332450 0.278959i
\(690\) 1.65902 + 0.0838700i 0.0631578 + 0.00319288i
\(691\) −5.10153 1.85681i −0.194071 0.0706362i 0.243156 0.969987i \(-0.421817\pi\)
−0.437227 + 0.899351i \(0.644040\pi\)
\(692\) −5.92425 22.1096i −0.225206 0.840481i
\(693\) −37.7516 + 2.50506i −1.43406 + 0.0951592i
\(694\) −1.20619 + 0.696395i −0.0457864 + 0.0264348i
\(695\) 10.2532 + 32.1125i 0.388926 + 1.21810i
\(696\) 1.74227 2.43342i 0.0660406 0.0922384i
\(697\) −23.8838 11.1372i −0.904663 0.421851i
\(698\) 1.42295 0.996358i 0.0538593 0.0377127i
\(699\) −6.80690 6.95142i −0.257461 0.262927i
\(700\) 5.16726 + 28.1114i 0.195304 + 1.06251i
\(701\) 8.37641i 0.316373i 0.987409 + 0.158186i \(0.0505647\pi\)
−0.987409 + 0.158186i \(0.949435\pi\)
\(702\) −0.124572 + 3.95199i −0.00470167 + 0.149158i
\(703\) −1.84550 + 1.84550i −0.0696043 + 0.0696043i
\(704\) −24.6396 + 20.6751i −0.928639 + 0.779221i
\(705\) 19.8386 8.05800i 0.747164 0.303482i
\(706\) 0.747459 4.23905i 0.0281310 0.159539i
\(707\) 6.43494 13.7998i 0.242011 0.518994i
\(708\) 9.96409 + 12.1313i 0.374474 + 0.455921i
\(709\) −27.2222 + 4.80001i −1.02235 + 0.180268i −0.659599 0.751617i \(-0.729274\pi\)
−0.362752 + 0.931886i \(0.618163\pi\)
\(710\) −2.31384 0.296092i −0.0868368 0.0111121i
\(711\) −1.48748 + 0.230177i −0.0557848 + 0.00863232i
\(712\) −8.45886 + 2.26655i −0.317009 + 0.0849424i
\(713\) −8.27234 17.7401i −0.309802 0.664372i
\(714\) 4.72120 0.363126i 0.176686 0.0135896i
\(715\) −44.9261 + 10.1309i −1.68014 + 0.378875i
\(716\) 8.68071 10.3453i 0.324413 0.386621i
\(717\) 25.3290 8.91885i 0.945929 0.333080i
\(718\) −1.99086 + 0.928354i −0.0742983 + 0.0346459i
\(719\) −13.4438 + 23.2854i −0.501371 + 0.868400i 0.498628 + 0.866816i \(0.333837\pi\)
−0.999999 + 0.00158362i \(0.999496\pi\)
\(720\) 23.6565 + 10.2841i 0.881626 + 0.383266i
\(721\) 5.44055 + 9.42331i 0.202617 + 0.350942i
\(722\) −2.41940 1.69408i −0.0900409 0.0630473i
\(723\) 30.9639 + 11.6397i 1.15156 + 0.432884i
\(724\) −10.9664 30.1299i −0.407563 1.11977i
\(725\) −1.27510 13.4503i −0.0473560 0.499532i
\(726\) 2.13888 + 0.597258i 0.0793812 + 0.0221663i
\(727\) −19.0908 1.67023i −0.708040 0.0619455i −0.272553 0.962141i \(-0.587868\pi\)
−0.435487 + 0.900195i \(0.643424\pi\)
\(728\) −6.19200 6.19200i −0.229491 0.229491i
\(729\) 26.9464 + 1.70047i 0.998015 + 0.0629802i
\(730\) −3.43941 + 0.465500i −0.127298 + 0.0172289i
\(731\) 25.9216 + 30.8921i 0.958743 + 1.14259i
\(732\) −36.0469 + 20.3099i −1.33233 + 0.750674i
\(733\) 20.2855 + 28.9707i 0.749261 + 1.07006i 0.994917 + 0.100699i \(0.0321079\pi\)
−0.245656 + 0.969357i \(0.579003\pi\)
\(734\) −1.97069 + 0.717274i −0.0727397 + 0.0264751i
\(735\) −5.22956 1.19716i −0.192895 0.0441579i
\(736\) 0.878364 + 4.98145i 0.0323769 + 0.183619i
\(737\) 28.0930 + 7.52749i 1.03482 + 0.277279i
\(738\) −2.10558 + 0.517039i −0.0775076 + 0.0190325i
\(739\) −16.8271 9.71511i −0.618993 0.357376i 0.157484 0.987522i \(-0.449662\pi\)
−0.776477 + 0.630146i \(0.782995\pi\)
\(740\) −7.75471 12.0756i −0.285069 0.443908i
\(741\) 5.92994 + 2.84138i 0.217842 + 0.104381i
\(742\) 0.0978225 + 1.11812i 0.00359118 + 0.0410473i
\(743\) −2.72437 31.1397i −0.0999474 1.14240i −0.866143 0.499796i \(-0.833408\pi\)
0.766195 0.642608i \(-0.222147\pi\)
\(744\) 0.623732 + 8.10948i 0.0228671 + 0.297308i
\(745\) 7.02749 32.2519i 0.257467 1.18162i
\(746\) −0.263770 0.152288i −0.00965730 0.00557564i
\(747\) −15.8683 + 21.6784i −0.580591 + 0.793171i
\(748\) 48.7265 + 13.0562i 1.78162 + 0.477383i
\(749\) 4.04754 + 22.9547i 0.147894 + 0.838747i
\(750\) −2.97140 + 0.938100i −0.108500 + 0.0342546i
\(751\) 21.6560 7.88215i 0.790240 0.287624i 0.0848041 0.996398i \(-0.472974\pi\)
0.705436 + 0.708774i \(0.250751\pi\)
\(752\) 12.1941 + 17.4149i 0.444672 + 0.635057i
\(753\) −18.7625 11.0969i −0.683743 0.404394i
\(754\) 1.32167 + 1.57510i 0.0481322 + 0.0573618i
\(755\) 0.714367 + 5.27819i 0.0259985 + 0.192093i
\(756\) −21.6549 + 20.3315i −0.787583 + 0.739449i
\(757\) 10.7861 + 10.7861i 0.392029 + 0.392029i 0.875410 0.483381i \(-0.160592\pi\)
−0.483381 + 0.875410i \(0.660592\pi\)
\(758\) −1.38640 0.121294i −0.0503561 0.00440559i
\(759\) −14.3666 + 14.0679i −0.521475 + 0.510634i
\(760\) −0.843493 + 0.778564i −0.0305967 + 0.0282415i
\(761\) 3.19211 + 8.77024i 0.115714 + 0.317921i 0.984007 0.178131i \(-0.0570049\pi\)
−0.868293 + 0.496051i \(0.834783\pi\)
\(762\) −0.0352829 0.213168i −0.00127816 0.00772228i
\(763\) −28.8462 20.1984i −1.04430 0.731229i
\(764\) −20.2039 34.9942i −0.730951 1.26604i
\(765\) −7.84972 38.5684i −0.283807 1.39444i
\(766\) 1.37405 2.37992i 0.0496463 0.0859899i
\(767\) −19.6781 + 9.17603i −0.710533 + 0.331327i
\(768\) −4.45136 + 23.7814i −0.160624 + 0.858139i
\(769\) 7.77292 9.26340i 0.280299 0.334047i −0.607465 0.794346i \(-0.707814\pi\)
0.887764 + 0.460300i \(0.152258\pi\)
\(770\) 3.83582 + 2.42418i 0.138233 + 0.0873613i