Properties

Label 392.2.z.a.37.20
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.20
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.690255 + 1.23432i) q^{2} +(2.22424 + 2.39716i) q^{3} +(-1.04710 - 1.70399i) q^{4} +(-0.266970 + 0.865496i) q^{5} +(-4.49415 + 1.09077i) q^{6} +(2.06958 + 1.64828i) q^{7} +(2.82604 - 0.116261i) q^{8} +(-0.574944 + 7.67209i) q^{9} +O(q^{10})\) \(q+(-0.690255 + 1.23432i) q^{2} +(2.22424 + 2.39716i) q^{3} +(-1.04710 - 1.70399i) q^{4} +(-0.266970 + 0.865496i) q^{5} +(-4.49415 + 1.09077i) q^{6} +(2.06958 + 1.64828i) q^{7} +(2.82604 - 0.116261i) q^{8} +(-0.574944 + 7.67209i) q^{9} +(-0.884022 - 0.926940i) q^{10} +(-3.90949 + 0.292976i) q^{11} +(1.75575 - 6.30014i) q^{12} +(3.01147 - 6.25339i) q^{13} +(-3.46305 + 1.41679i) q^{14} +(-2.66854 + 1.28510i) q^{15} +(-1.80718 + 3.56849i) q^{16} +(1.60006 + 0.241171i) q^{17} +(-9.07296 - 6.00537i) q^{18} +(-0.834125 - 0.481582i) q^{19} +(1.75434 - 0.451341i) q^{20} +(0.652040 + 8.62729i) q^{21} +(2.33692 - 5.02779i) q^{22} +(-0.973933 + 0.146797i) q^{23} +(6.56447 + 6.51587i) q^{24} +(3.45338 + 2.35448i) q^{25} +(5.64000 + 8.03356i) q^{26} +(-12.0000 + 9.56969i) q^{27} +(0.641618 - 5.25246i) q^{28} +(-3.94882 - 3.14908i) q^{29} +(0.255747 - 4.18088i) q^{30} +(0.0366915 + 0.0635515i) q^{31} +(-3.15724 - 4.69381i) q^{32} +(-9.39794 - 8.72002i) q^{33} +(-1.40214 + 1.80852i) q^{34} +(-1.97910 + 1.35117i) q^{35} +(13.6752 - 7.05371i) q^{36} +(7.05610 - 2.76932i) q^{37} +(1.17019 - 0.697163i) q^{38} +(21.6886 - 6.69005i) q^{39} +(-0.653844 + 2.47696i) q^{40} +(-2.10841 - 9.23756i) q^{41} +(-11.0989 - 5.15021i) q^{42} +(-7.08223 - 1.61647i) q^{43} +(4.59284 + 6.35497i) q^{44} +(-6.48667 - 2.54583i) q^{45} +(0.491068 - 1.30347i) q^{46} +(2.44941 - 1.66998i) q^{47} +(-12.5738 + 3.60505i) q^{48} +(1.56632 + 6.82251i) q^{49} +(-5.28990 + 2.63739i) q^{50} +(2.98080 + 4.37203i) q^{51} +(-13.8090 + 1.41636i) q^{52} +(-2.00909 - 0.788510i) q^{53} +(-3.52899 - 21.4174i) q^{54} +(0.790147 - 3.46186i) q^{55} +(6.04034 + 4.41750i) q^{56} +(-0.700863 - 3.07068i) q^{57} +(6.61266 - 2.70044i) q^{58} +(1.97230 + 6.39405i) q^{59} +(4.98401 + 3.20155i) q^{60} +(0.464039 - 0.182122i) q^{61} +(-0.103769 + 0.00142228i) q^{62} +(-13.8357 + 14.9303i) q^{63} +(7.97297 - 0.657114i) q^{64} +(4.60831 + 4.27588i) q^{65} +(17.2503 - 5.58104i) q^{66} +(8.52787 - 4.92357i) q^{67} +(-1.26447 - 2.97903i) q^{68} +(-2.51815 - 2.00816i) q^{69} +(-0.301693 - 3.37549i) q^{70} +(4.24655 + 5.32501i) q^{71} +(-0.732849 + 21.7485i) q^{72} +(-1.59925 - 1.09035i) q^{73} +(-1.45229 + 10.6210i) q^{74} +(2.03709 + 13.5152i) q^{75} +(0.0527953 + 1.92560i) q^{76} +(-8.57391 - 5.83761i) q^{77} +(-6.71301 + 31.3885i) q^{78} +(1.44464 - 2.50218i) q^{79} +(-2.60604 - 2.51679i) q^{80} +(-26.8079 - 4.04065i) q^{81} +(12.8575 + 3.77382i) q^{82} +(3.74554 + 7.77768i) q^{83} +(14.0181 - 10.1447i) q^{84} +(-0.635902 + 1.32046i) q^{85} +(6.88380 - 7.62597i) q^{86} +(-1.23427 - 16.4702i) q^{87} +(-11.0143 + 1.28248i) q^{88} +(-1.03192 + 13.7701i) q^{89} +(7.61983 - 6.24936i) q^{90} +(16.5398 - 7.97812i) q^{91} +(1.26994 + 1.50586i) q^{92} +(-0.0707325 + 0.229309i) q^{93} +(0.370572 + 4.17608i) q^{94} +(0.639494 - 0.593363i) q^{95} +(4.22936 - 18.0085i) q^{96} +13.1899 q^{97} +(-9.50233 - 2.77593i) q^{98} -30.1624i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.690255 + 1.23432i −0.488084 + 0.872797i
\(3\) 2.22424 + 2.39716i 1.28416 + 1.38400i 0.883952 + 0.467578i \(0.154873\pi\)
0.400213 + 0.916422i \(0.368936\pi\)
\(4\) −1.04710 1.70399i −0.523548 0.851996i
\(5\) −0.266970 + 0.865496i −0.119393 + 0.387062i −0.995466 0.0951160i \(-0.969678\pi\)
0.876074 + 0.482178i \(0.160154\pi\)
\(6\) −4.49415 + 1.09077i −1.83473 + 0.445306i
\(7\) 2.06958 + 1.64828i 0.782228 + 0.622993i
\(8\) 2.82604 0.116261i 0.999155 0.0411044i
\(9\) −0.574944 + 7.67209i −0.191648 + 2.55736i
\(10\) −0.884022 0.926940i −0.279552 0.293124i
\(11\) −3.90949 + 0.292976i −1.17876 + 0.0883355i −0.649659 0.760226i \(-0.725088\pi\)
−0.529097 + 0.848562i \(0.677469\pi\)
\(12\) 1.75575 6.30014i 0.506842 1.81869i
\(13\) 3.01147 6.25339i 0.835232 1.73438i 0.173222 0.984883i \(-0.444582\pi\)
0.662010 0.749495i \(-0.269704\pi\)
\(14\) −3.46305 + 1.41679i −0.925539 + 0.378653i
\(15\) −2.66854 + 1.28510i −0.689013 + 0.331811i
\(16\) −1.80718 + 3.56849i −0.451796 + 0.892121i
\(17\) 1.60006 + 0.241171i 0.388073 + 0.0584925i 0.340181 0.940360i \(-0.389512\pi\)
0.0478916 + 0.998853i \(0.484750\pi\)
\(18\) −9.07296 6.00537i −2.13852 1.41548i
\(19\) −0.834125 0.481582i −0.191361 0.110483i 0.401258 0.915965i \(-0.368573\pi\)
−0.592620 + 0.805482i \(0.701906\pi\)
\(20\) 1.75434 0.451341i 0.392283 0.100923i
\(21\) 0.652040 + 8.62729i 0.142287 + 1.88263i
\(22\) 2.33692 5.02779i 0.498233 1.07193i
\(23\) −0.973933 + 0.146797i −0.203079 + 0.0306092i −0.249794 0.968299i \(-0.580363\pi\)
0.0467149 + 0.998908i \(0.485125\pi\)
\(24\) 6.56447 + 6.51587i 1.33997 + 1.33005i
\(25\) 3.45338 + 2.35448i 0.690677 + 0.470895i
\(26\) 5.64000 + 8.03356i 1.10610 + 1.57551i
\(27\) −12.0000 + 9.56969i −2.30940 + 1.84169i
\(28\) 0.641618 5.25246i 0.121254 0.992621i
\(29\) −3.94882 3.14908i −0.733277 0.584769i 0.184044 0.982918i \(-0.441081\pi\)
−0.917321 + 0.398149i \(0.869653\pi\)
\(30\) 0.255747 4.18088i 0.0466928 0.763320i
\(31\) 0.0366915 + 0.0635515i 0.00658999 + 0.0114142i 0.869302 0.494282i \(-0.164569\pi\)
−0.862712 + 0.505696i \(0.831236\pi\)
\(32\) −3.15724 4.69381i −0.558126 0.829756i
\(33\) −9.39794 8.72002i −1.63597 1.51796i
\(34\) −1.40214 + 1.80852i −0.240464 + 0.310159i
\(35\) −1.97910 + 1.35117i −0.334529 + 0.228389i
\(36\) 13.6752 7.05371i 2.27920 1.17562i
\(37\) 7.05610 2.76932i 1.16002 0.455273i 0.294253 0.955727i \(-0.404929\pi\)
0.865763 + 0.500455i \(0.166834\pi\)
\(38\) 1.17019 0.697163i 0.189829 0.113095i
\(39\) 21.6886 6.69005i 3.47295 1.07126i
\(40\) −0.653844 + 2.47696i −0.103382 + 0.391642i
\(41\) −2.10841 9.23756i −0.329279 1.44267i −0.820508 0.571635i \(-0.806309\pi\)
0.491229 0.871030i \(-0.336548\pi\)
\(42\) −11.0989 5.15021i −1.71260 0.794694i
\(43\) −7.08223 1.61647i −1.08003 0.246510i −0.354749 0.934962i \(-0.615434\pi\)
−0.725282 + 0.688452i \(0.758291\pi\)
\(44\) 4.59284 + 6.35497i 0.692396 + 0.958048i
\(45\) −6.48667 2.54583i −0.966976 0.379510i
\(46\) 0.491068 1.30347i 0.0724040 0.192187i
\(47\) 2.44941 1.66998i 0.357284 0.243592i −0.371354 0.928491i \(-0.621106\pi\)
0.728637 + 0.684900i \(0.240154\pi\)
\(48\) −12.5738 + 3.60505i −1.81488 + 0.520345i
\(49\) 1.56632 + 6.82251i 0.223760 + 0.974644i
\(50\) −5.28990 + 2.63739i −0.748104 + 0.372984i
\(51\) 2.98080 + 4.37203i 0.417395 + 0.612207i
\(52\) −13.8090 + 1.41636i −1.91497 + 0.196414i
\(53\) −2.00909 0.788510i −0.275970 0.108310i 0.223320 0.974745i \(-0.428310\pi\)
−0.499290 + 0.866435i \(0.666406\pi\)
\(54\) −3.52899 21.4174i −0.480235 2.91454i
\(55\) 0.790147 3.46186i 0.106543 0.466797i
\(56\) 6.04034 + 4.41750i 0.807174 + 0.590313i
\(57\) −0.700863 3.07068i −0.0928316 0.406722i
\(58\) 6.61266 2.70044i 0.868285 0.354585i
\(59\) 1.97230 + 6.39405i 0.256772 + 0.832434i 0.988550 + 0.150892i \(0.0482145\pi\)
−0.731778 + 0.681543i \(0.761309\pi\)
\(60\) 4.98401 + 3.20155i 0.643433 + 0.413318i
\(61\) 0.464039 0.182122i 0.0594141 0.0233183i −0.335448 0.942059i \(-0.608888\pi\)
0.394862 + 0.918740i \(0.370792\pi\)
\(62\) −0.103769 + 0.00142228i −0.0131787 + 0.000180630i
\(63\) −13.8357 + 14.9303i −1.74313 + 1.88105i
\(64\) 7.97297 0.657114i 0.996621 0.0821393i
\(65\) 4.60831 + 4.27588i 0.571590 + 0.530358i
\(66\) 17.2503 5.58104i 2.12336 0.686978i
\(67\) 8.52787 4.92357i 1.04185 0.601510i 0.121490 0.992593i \(-0.461233\pi\)
0.920355 + 0.391083i \(0.127899\pi\)
\(68\) −1.26447 2.97903i −0.153339 0.361260i
\(69\) −2.51815 2.00816i −0.303150 0.241754i
\(70\) −0.301693 3.37549i −0.0360593 0.403449i
\(71\) 4.24655 + 5.32501i 0.503973 + 0.631962i 0.967120 0.254319i \(-0.0818513\pi\)
−0.463147 + 0.886281i \(0.653280\pi\)
\(72\) −0.732849 + 21.7485i −0.0863671 + 2.56308i
\(73\) −1.59925 1.09035i −0.187178 0.127616i 0.466105 0.884729i \(-0.345657\pi\)
−0.653284 + 0.757113i \(0.726609\pi\)
\(74\) −1.45229 + 10.6210i −0.168825 + 1.23467i
\(75\) 2.03709 + 13.5152i 0.235223 + 1.56060i
\(76\) 0.0527953 + 1.92560i 0.00605603 + 0.220882i
\(77\) −8.57391 5.83761i −0.977087 0.665258i
\(78\) −6.71301 + 31.3885i −0.760098 + 3.55405i
\(79\) 1.44464 2.50218i 0.162534 0.281518i −0.773243 0.634110i \(-0.781367\pi\)
0.935777 + 0.352593i \(0.114700\pi\)
\(80\) −2.60604 2.51679i −0.291365 0.281386i
\(81\) −26.8079 4.04065i −2.97866 0.448961i
\(82\) 12.8575 + 3.77382i 1.41987 + 0.416749i
\(83\) 3.74554 + 7.77768i 0.411126 + 0.853712i 0.998998 + 0.0447577i \(0.0142516\pi\)
−0.587872 + 0.808954i \(0.700034\pi\)
\(84\) 14.0181 10.1447i 1.52950 1.10687i
\(85\) −0.635902 + 1.32046i −0.0689732 + 0.143224i
\(86\) 6.88380 7.62597i 0.742299 0.822329i
\(87\) −1.23427 16.4702i −0.132328 1.76579i
\(88\) −11.0143 + 1.28248i −1.17413 + 0.136713i
\(89\) −1.03192 + 13.7701i −0.109384 + 1.45962i 0.624859 + 0.780737i \(0.285156\pi\)
−0.734243 + 0.678887i \(0.762463\pi\)
\(90\) 7.61983 6.24936i 0.803201 0.658740i
\(91\) 16.5398 7.97812i 1.73385 0.836334i
\(92\) 1.26994 + 1.50586i 0.132400 + 0.156997i
\(93\) −0.0707325 + 0.229309i −0.00733462 + 0.0237782i
\(94\) 0.370572 + 4.17608i 0.0382216 + 0.430729i
\(95\) 0.639494 0.593363i 0.0656107 0.0608778i
\(96\) 4.22936 18.0085i 0.431658 1.83799i
\(97\) 13.1899 1.33923 0.669614 0.742710i \(-0.266460\pi\)
0.669614 + 0.742710i \(0.266460\pi\)
\(98\) −9.50233 2.77593i −0.959880 0.280412i
\(99\) 30.1624i 3.03144i
\(100\) 0.395992 8.34990i 0.0395992 0.834990i
\(101\) −2.48275 2.67576i −0.247042 0.266248i 0.597341 0.801987i \(-0.296224\pi\)
−0.844384 + 0.535739i \(0.820033\pi\)
\(102\) −7.45400 + 0.661445i −0.738056 + 0.0654928i
\(103\) −0.269755 0.0832085i −0.0265798 0.00819878i 0.281437 0.959580i \(-0.409189\pi\)
−0.308017 + 0.951381i \(0.599665\pi\)
\(104\) 7.78351 18.0224i 0.763236 1.76724i
\(105\) −7.64096 1.73889i −0.745681 0.169698i
\(106\) 2.36006 1.93559i 0.229229 0.188001i
\(107\) 7.22554 + 0.541480i 0.698520 + 0.0523468i 0.419256 0.907868i \(-0.362291\pi\)
0.279263 + 0.960215i \(0.409910\pi\)
\(108\) 28.8718 + 10.4276i 2.77819 + 1.00339i
\(109\) −13.0240 + 0.976013i −1.24747 + 0.0934851i −0.682043 0.731312i \(-0.738908\pi\)
−0.565429 + 0.824797i \(0.691289\pi\)
\(110\) 3.72764 + 3.36486i 0.355417 + 0.320827i
\(111\) 22.3329 + 10.7550i 2.11975 + 1.02082i
\(112\) −9.62199 + 4.40651i −0.909192 + 0.416376i
\(113\) −0.203528 + 0.0980137i −0.0191463 + 0.00922035i −0.443432 0.896308i \(-0.646239\pi\)
0.424286 + 0.905528i \(0.360525\pi\)
\(114\) 4.27398 + 1.25447i 0.400295 + 0.117491i
\(115\) 0.132959 0.882125i 0.0123985 0.0822586i
\(116\) −1.23122 + 10.0261i −0.114316 + 0.930904i
\(117\) 46.2451 + 26.6996i 4.27536 + 2.46838i
\(118\) −9.25370 1.97907i −0.851872 0.182188i
\(119\) 2.91394 + 3.13648i 0.267121 + 0.287521i
\(120\) −7.39197 + 3.94198i −0.674792 + 0.359852i
\(121\) 4.32113 0.651306i 0.392830 0.0592096i
\(122\) −0.0955086 + 0.698483i −0.00864694 + 0.0632377i
\(123\) 17.4543 25.6007i 1.57380 2.30834i
\(124\) 0.0698719 0.129067i 0.00627468 0.0115905i
\(125\) −6.50040 + 5.18390i −0.581414 + 0.463662i
\(126\) −8.87867 27.3834i −0.790975 2.43951i
\(127\) 6.18126 7.75105i 0.548498 0.687795i −0.427887 0.903832i \(-0.640742\pi\)
0.976385 + 0.216037i \(0.0693133\pi\)
\(128\) −4.69229 + 10.2948i −0.414744 + 0.909938i
\(129\) −11.8776 20.5727i −1.04577 1.81132i
\(130\) −8.45872 + 2.73668i −0.741879 + 0.240022i
\(131\) 5.11366 5.51121i 0.446782 0.481517i −0.468996 0.883200i \(-0.655384\pi\)
0.915779 + 0.401683i \(0.131575\pi\)
\(132\) −5.01831 + 25.1447i −0.436788 + 2.18857i
\(133\) −0.932503 2.37155i −0.0808583 0.205639i
\(134\) 0.190854 + 13.9246i 0.0164872 + 1.20291i
\(135\) −5.07888 12.9408i −0.437121 1.11377i
\(136\) 4.54988 + 0.495533i 0.390149 + 0.0424916i
\(137\) 6.75547 2.08379i 0.577159 0.178030i 0.00758678 0.999971i \(-0.497585\pi\)
0.569572 + 0.821941i \(0.307109\pi\)
\(138\) 4.21688 1.72207i 0.358965 0.146592i
\(139\) −8.20348 + 1.87239i −0.695810 + 0.158814i −0.555775 0.831333i \(-0.687579\pi\)
−0.140035 + 0.990147i \(0.544721\pi\)
\(140\) 4.37469 + 1.95757i 0.369729 + 0.165445i
\(141\) 9.45129 + 2.15720i 0.795942 + 0.181669i
\(142\) −9.50398 + 1.56599i −0.797556 + 0.131415i
\(143\) −9.94123 + 25.3298i −0.831327 + 2.11819i
\(144\) −26.3387 15.9166i −2.19489 1.32638i
\(145\) 3.77973 2.57698i 0.313889 0.214006i
\(146\) 2.44974 1.22137i 0.202742 0.101081i
\(147\) −12.8708 + 18.9296i −1.06156 + 1.56129i
\(148\) −12.1073 9.12381i −0.995214 0.749973i
\(149\) −2.83147 4.15300i −0.231963 0.340227i 0.692556 0.721365i \(-0.256485\pi\)
−0.924518 + 0.381138i \(0.875532\pi\)
\(150\) −18.0882 6.81453i −1.47690 0.556404i
\(151\) −5.49310 + 13.9962i −0.447022 + 1.13899i 0.512831 + 0.858490i \(0.328597\pi\)
−0.959853 + 0.280504i \(0.909498\pi\)
\(152\) −2.41326 1.26399i −0.195741 0.102523i
\(153\) −2.77023 + 12.1372i −0.223960 + 0.981233i
\(154\) 13.1237 6.55351i 1.05754 0.528097i
\(155\) −0.0647991 + 0.0147900i −0.00520479 + 0.00118796i
\(156\) −34.1098 29.9521i −2.73097 2.39809i
\(157\) −4.99541 16.1947i −0.398677 1.29248i −0.903252 0.429111i \(-0.858827\pi\)
0.504575 0.863368i \(-0.331649\pi\)
\(158\) 2.09133 + 3.51029i 0.166377 + 0.279264i
\(159\) −2.57851 6.56994i −0.204489 0.521030i
\(160\) 4.90536 1.47947i 0.387803 0.116962i
\(161\) −2.25759 1.30151i −0.177923 0.102573i
\(162\) 23.4918 30.3005i 1.84569 2.38063i
\(163\) −8.53338 + 9.19679i −0.668386 + 0.720348i −0.972659 0.232236i \(-0.925396\pi\)
0.304274 + 0.952585i \(0.401586\pi\)
\(164\) −13.5330 + 13.2653i −1.05675 + 1.03585i
\(165\) 10.0561 5.80590i 0.782867 0.451989i
\(166\) −12.1855 0.745397i −0.945781 0.0578540i
\(167\) −0.484243 + 0.607221i −0.0374718 + 0.0469882i −0.800214 0.599714i \(-0.795281\pi\)
0.762742 + 0.646702i \(0.223852\pi\)
\(168\) 2.84570 + 24.3052i 0.219551 + 1.87519i
\(169\) −21.9305 27.5000i −1.68696 2.11539i
\(170\) −1.19094 1.69636i −0.0913410 0.130105i
\(171\) 4.17432 6.12260i 0.319218 0.468207i
\(172\) 4.66131 + 13.7607i 0.355422 + 1.04924i
\(173\) −1.05907 7.02648i −0.0805197 0.534213i −0.992332 0.123605i \(-0.960554\pi\)
0.911812 0.410608i \(-0.134684\pi\)
\(174\) 21.1815 + 9.84518i 1.60577 + 0.746361i
\(175\) 3.26621 + 10.5649i 0.246902 + 0.798634i
\(176\) 6.01969 14.4804i 0.453751 1.09150i
\(177\) −10.9407 + 18.9498i −0.822352 + 1.42436i
\(178\) −16.2844 10.7786i −1.22057 0.807889i
\(179\) 0.0379538 0.251807i 0.00283680 0.0188209i −0.987368 0.158446i \(-0.949352\pi\)
0.990204 + 0.139625i \(0.0445897\pi\)
\(180\) 2.45408 + 13.7190i 0.182917 + 1.02255i
\(181\) −5.37978 11.1712i −0.399876 0.830351i −0.999547 0.0301039i \(-0.990416\pi\)
0.599671 0.800247i \(-0.295298\pi\)
\(182\) −1.56915 + 25.9224i −0.116314 + 1.92150i
\(183\) 1.46871 + 0.707293i 0.108570 + 0.0522846i
\(184\) −2.73530 + 0.528083i −0.201649 + 0.0389308i
\(185\) 0.513063 + 6.84635i 0.0377211 + 0.503354i
\(186\) −0.234217 0.245588i −0.0171737 0.0180074i
\(187\) −6.32609 0.474075i −0.462610 0.0346678i
\(188\) −5.41041 2.42515i −0.394594 0.176872i
\(189\) −40.6086 + 0.0258076i −2.95384 + 0.00187722i
\(190\) 0.290987 + 1.19891i 0.0211104 + 0.0869783i
\(191\) −5.27667 1.62764i −0.381806 0.117772i 0.0979101 0.995195i \(-0.468784\pi\)
−0.479716 + 0.877424i \(0.659260\pi\)
\(192\) 19.3090 + 17.6509i 1.39351 + 1.27384i
\(193\) 15.8499 14.7065i 1.14090 1.05860i 0.143277 0.989683i \(-0.454236\pi\)
0.997622 0.0689168i \(-0.0219543\pi\)
\(194\) −9.10437 + 16.2805i −0.653656 + 1.16887i
\(195\) 20.5574i 1.47215i
\(196\) 9.98542 9.81281i 0.713245 0.700915i
\(197\) 0.495829i 0.0353263i 0.999844 + 0.0176632i \(0.00562265\pi\)
−0.999844 + 0.0176632i \(0.994377\pi\)
\(198\) 37.2301 + 20.8198i 2.64583 + 1.47960i
\(199\) −13.8900 + 12.8880i −0.984634 + 0.913607i −0.996267 0.0863256i \(-0.972487\pi\)
0.0116331 + 0.999932i \(0.496297\pi\)
\(200\) 10.0331 + 6.25235i 0.709449 + 0.442108i
\(201\) 30.7706 + 9.49147i 2.17039 + 0.669477i
\(202\) 5.01648 1.21754i 0.352958 0.0856661i
\(203\) −2.98182 13.0260i −0.209283 0.914249i
\(204\) 4.32873 9.65719i 0.303072 0.676139i
\(205\) 8.55796 + 0.641330i 0.597714 + 0.0447924i
\(206\) 0.288906 0.275530i 0.0201290 0.0191971i
\(207\) −0.566282 7.55650i −0.0393593 0.525213i
\(208\) 16.8728 + 22.0474i 1.16992 + 1.52871i
\(209\) 3.40209 + 1.63836i 0.235328 + 0.113328i
\(210\) 7.42056 8.23111i 0.512067 0.568001i
\(211\) −1.66716 3.46188i −0.114772 0.238326i 0.835668 0.549235i \(-0.185081\pi\)
−0.950440 + 0.310909i \(0.899367\pi\)
\(212\) 0.760093 + 4.24912i 0.0522034 + 0.291831i
\(213\) −3.31955 + 22.0238i −0.227452 + 1.50904i
\(214\) −5.65583 + 8.54488i −0.386624 + 0.584116i
\(215\) 3.28980 5.69809i 0.224362 0.388607i
\(216\) −32.7999 + 28.4394i −2.23175 + 1.93506i
\(217\) −0.0288150 + 0.192003i −0.00195609 + 0.0130340i
\(218\) 7.78516 16.7495i 0.527278 1.13442i
\(219\) −0.943372 6.25887i −0.0637472 0.422935i
\(220\) −6.72635 + 2.27849i −0.453490 + 0.153616i
\(221\) 6.32668 9.27954i 0.425579 0.624210i
\(222\) −28.6905 + 20.1423i −1.92558 + 1.35186i
\(223\) −7.30388 9.15877i −0.489104 0.613317i 0.474629 0.880186i \(-0.342582\pi\)
−0.963733 + 0.266869i \(0.914011\pi\)
\(224\) 1.20258 14.9182i 0.0803508 0.996767i
\(225\) −20.0493 + 25.1410i −1.33662 + 1.67607i
\(226\) 0.0195056 0.318873i 0.00129750 0.0212111i
\(227\) −6.36649 + 3.67569i −0.422559 + 0.243964i −0.696171 0.717876i \(-0.745115\pi\)
0.273613 + 0.961840i \(0.411781\pi\)
\(228\) −4.49855 + 4.40956i −0.297924 + 0.292030i
\(229\) −8.70186 + 9.37837i −0.575035 + 0.619740i −0.951856 0.306546i \(-0.900827\pi\)
0.376821 + 0.926286i \(0.377017\pi\)
\(230\) 0.997050 + 0.773006i 0.0657435 + 0.0509705i
\(231\) −5.07673 33.5373i −0.334024 2.20659i
\(232\) −11.5256 8.44031i −0.756694 0.554134i
\(233\) −7.64766 19.4859i −0.501015 1.27656i −0.928093 0.372350i \(-0.878552\pi\)
0.427078 0.904215i \(-0.359543\pi\)
\(234\) −64.8769 + 38.6518i −4.24113 + 2.52674i
\(235\) 0.791442 + 2.56579i 0.0516280 + 0.167374i
\(236\) 8.83023 10.0560i 0.574799 0.654588i
\(237\) 9.21135 2.10243i 0.598341 0.136568i
\(238\) −5.88279 + 1.43176i −0.381325 + 0.0928075i
\(239\) 4.43399 19.4266i 0.286811 1.25660i −0.602062 0.798449i \(-0.705654\pi\)
0.888873 0.458153i \(-0.151489\pi\)
\(240\) 0.236678 11.8450i 0.0152775 0.764594i
\(241\) 5.73329 14.6082i 0.369314 0.940996i −0.618560 0.785737i \(-0.712284\pi\)
0.987874 0.155259i \(-0.0496211\pi\)
\(242\) −2.17876 + 5.78323i −0.140056 + 0.371760i
\(243\) −24.0027 35.2054i −1.53977 2.25843i
\(244\) −0.796227 0.600020i −0.0509732 0.0384124i
\(245\) −6.32301 0.465763i −0.403963 0.0297565i
\(246\) 19.5516 + 39.2152i 1.24656 + 2.50027i
\(247\) −5.52346 + 3.76583i −0.351450 + 0.239614i
\(248\) 0.111080 + 0.175333i 0.00705359 + 0.0111337i
\(249\) −10.3134 + 26.2781i −0.653584 + 1.66530i
\(250\) −1.91165 11.6018i −0.120904 0.733762i
\(251\) 17.3886 + 3.96882i 1.09756 + 0.250510i 0.732698 0.680553i \(-0.238261\pi\)
0.364857 + 0.931063i \(0.381118\pi\)
\(252\) 39.9285 + 7.94242i 2.51526 + 0.500325i
\(253\) 3.76457 0.859239i 0.236677 0.0540199i
\(254\) 5.30064 + 12.9799i 0.332592 + 0.814429i
\(255\) −4.57976 + 1.41267i −0.286796 + 0.0884647i
\(256\) −9.46817 12.8978i −0.591761 0.806114i
\(257\) −0.560055 1.42700i −0.0349353 0.0890137i 0.912342 0.409430i \(-0.134272\pi\)
−0.947277 + 0.320416i \(0.896177\pi\)
\(258\) 33.5919 0.460416i 2.09134 0.0286643i
\(259\) 19.1678 + 5.89914i 1.19103 + 0.366555i
\(260\) 2.46074 12.3298i 0.152609 0.764661i
\(261\) 26.4304 28.4851i 1.63600 1.76319i
\(262\) 3.27287 + 10.1160i 0.202199 + 0.624971i
\(263\) −9.56129 16.5606i −0.589574 1.02117i −0.994288 0.106729i \(-0.965962\pi\)
0.404714 0.914443i \(-0.367371\pi\)
\(264\) −27.5727 23.5505i −1.69698 1.44943i
\(265\) 1.21882 1.52835i 0.0748715 0.0938858i
\(266\) 3.57091 + 0.485965i 0.218947 + 0.0297964i
\(267\) −35.3043 + 28.1542i −2.16059 + 1.72301i
\(268\) −17.3192 9.37599i −1.05794 0.572730i
\(269\) 1.53183 2.24679i 0.0933976 0.136989i −0.776696 0.629876i \(-0.783106\pi\)
0.870094 + 0.492887i \(0.164058\pi\)
\(270\) 19.4788 + 2.66347i 1.18544 + 0.162094i
\(271\) −10.5533 + 1.59065i −0.641067 + 0.0966254i −0.461528 0.887125i \(-0.652699\pi\)
−0.179539 + 0.983751i \(0.557461\pi\)
\(272\) −3.75222 + 5.27397i −0.227512 + 0.319781i
\(273\) 55.9134 + 21.9034i 3.38403 + 1.32565i
\(274\) −2.09094 + 9.77677i −0.126318 + 0.590636i
\(275\) −14.1908 8.19305i −0.855736 0.494059i
\(276\) −0.785145 + 6.39365i −0.0472602 + 0.384853i
\(277\) −1.78442 + 11.8389i −0.107216 + 0.711329i 0.869045 + 0.494732i \(0.164734\pi\)
−0.976261 + 0.216597i \(0.930504\pi\)
\(278\) 3.35136 11.4181i 0.201001 0.684815i
\(279\) −0.508669 + 0.244962i −0.0304532 + 0.0146655i
\(280\) −5.43592 + 4.04855i −0.324858 + 0.241947i
\(281\) −3.93404 1.89454i −0.234685 0.113019i 0.312845 0.949804i \(-0.398718\pi\)
−0.547531 + 0.836786i \(0.684432\pi\)
\(282\) −9.18647 + 10.1769i −0.547047 + 0.606026i
\(283\) 4.31807 0.323595i 0.256683 0.0192357i 0.0542328 0.998528i \(-0.482729\pi\)
0.202450 + 0.979293i \(0.435110\pi\)
\(284\) 4.62723 12.8119i 0.274576 0.760246i
\(285\) 2.84477 + 0.213186i 0.168510 + 0.0126281i
\(286\) −24.4032 29.7547i −1.44299 1.75943i
\(287\) 10.8626 22.5931i 0.641199 1.33363i
\(288\) 37.8266 21.5239i 2.22895 1.26831i
\(289\) −13.7427 4.23906i −0.808394 0.249356i
\(290\) 0.571836 + 6.44417i 0.0335794 + 0.378415i
\(291\) 29.3374 + 31.6182i 1.71979 + 1.85349i
\(292\) −0.183383 + 3.86682i −0.0107317 + 0.226288i
\(293\) 24.5414i 1.43372i 0.697215 + 0.716862i \(0.254422\pi\)
−0.697215 + 0.716862i \(0.745578\pi\)
\(294\) −14.4811 28.9529i −0.844554 1.68857i
\(295\) −6.06057 −0.352860
\(296\) 19.6188 8.64654i 1.14032 0.502570i
\(297\) 44.1102 40.9283i 2.55954 2.37490i
\(298\) 7.08057 0.628308i 0.410166 0.0363969i
\(299\) −2.01500 + 6.53245i −0.116530 + 0.377782i
\(300\) 20.8968 17.6229i 1.20648 1.01746i
\(301\) −11.9928 15.0190i −0.691256 0.865678i
\(302\) −13.4841 16.4412i −0.775925 0.946084i
\(303\) 0.892012 11.9031i 0.0512447 0.683814i
\(304\) 3.22594 2.10625i 0.185020 0.120802i
\(305\) 0.0337412 + 0.450245i 0.00193201 + 0.0257809i
\(306\) −13.0690 11.7971i −0.747105 0.674396i
\(307\) −5.45810 + 11.3339i −0.311510 + 0.646857i −0.996670 0.0815349i \(-0.974018\pi\)
0.685160 + 0.728392i \(0.259732\pi\)
\(308\) −0.969555 + 20.7224i −0.0552455 + 1.18077i
\(309\) −0.400536 0.831722i −0.0227857 0.0473150i
\(310\) 0.0264724 0.0901917i 0.00150353 0.00512255i
\(311\) −24.9012 3.75325i −1.41202 0.212827i −0.601654 0.798757i \(-0.705492\pi\)
−0.810362 + 0.585929i \(0.800730\pi\)
\(312\) 60.5150 21.4278i 3.42599 1.21311i
\(313\) −6.91016 + 11.9687i −0.390585 + 0.676513i −0.992527 0.122027i \(-0.961061\pi\)
0.601942 + 0.798540i \(0.294394\pi\)
\(314\) 23.4376 + 5.01255i 1.32266 + 0.282875i
\(315\) −9.22843 15.9607i −0.519963 0.899282i
\(316\) −5.77638 + 0.158374i −0.324947 + 0.00890922i
\(317\) −4.19958 27.8624i −0.235872 1.56491i −0.722545 0.691324i \(-0.757028\pi\)
0.486673 0.873584i \(-0.338210\pi\)
\(318\) 9.88925 + 1.35223i 0.554561 + 0.0758291i
\(319\) 16.3605 + 11.1544i 0.916010 + 0.624525i
\(320\) −1.55981 + 7.07600i −0.0871963 + 0.395560i
\(321\) 14.7733 + 18.5252i 0.824566 + 1.03397i
\(322\) 3.16480 1.88822i 0.176367 0.105226i
\(323\) −1.21851 0.971729i −0.0677997 0.0540684i
\(324\) 21.1852 + 49.9115i 1.17696 + 2.77286i
\(325\) 25.1232 14.5049i 1.39359 0.804587i
\(326\) −5.46158 16.8811i −0.302489 0.934955i
\(327\) −31.3081 29.0497i −1.73134 1.60645i
\(328\) −7.03242 25.8606i −0.388300 1.42791i
\(329\) 7.82186 + 0.581169i 0.431233 + 0.0320409i
\(330\) 0.225056 + 16.4200i 0.0123889 + 0.903892i
\(331\) −12.0588 + 4.73275i −0.662814 + 0.260135i −0.672811 0.739815i \(-0.734913\pi\)
0.00999663 + 0.999950i \(0.496818\pi\)
\(332\) 9.33119 14.5263i 0.512115 0.797236i
\(333\) 17.1896 + 55.7273i 0.941983 + 3.05384i
\(334\) −0.415255 1.01685i −0.0227217 0.0556395i
\(335\) 1.98464 + 8.69528i 0.108433 + 0.475074i
\(336\) −31.9647 13.2643i −1.74382 0.723627i
\(337\) −1.41639 + 6.20561i −0.0771557 + 0.338041i −0.998743 0.0501307i \(-0.984036\pi\)
0.921587 + 0.388172i \(0.126893\pi\)
\(338\) 49.0815 8.08727i 2.66968 0.439890i
\(339\) −0.687648 0.269882i −0.0373479 0.0146580i
\(340\) 2.91591 0.299079i 0.158137 0.0162198i
\(341\) −0.162064 0.237704i −0.00877626 0.0128724i
\(342\) 4.67591 + 9.37860i 0.252844 + 0.507137i
\(343\) −8.00381 + 16.7015i −0.432165 + 0.901794i
\(344\) −20.2026 3.74483i −1.08925 0.201908i
\(345\) 2.41033 1.64333i 0.129768 0.0884740i
\(346\) 9.40396 + 3.54283i 0.505560 + 0.190464i
\(347\) −10.8077 4.24172i −0.580190 0.227708i 0.0570527 0.998371i \(-0.481830\pi\)
−0.637242 + 0.770664i \(0.719925\pi\)
\(348\) −26.7728 + 19.3491i −1.43517 + 1.03722i
\(349\) −1.58077 0.360800i −0.0846166 0.0193132i 0.180003 0.983666i \(-0.442389\pi\)
−0.264620 + 0.964353i \(0.585246\pi\)
\(350\) −15.2950 3.26096i −0.817554 0.174306i
\(351\) 23.7053 + 103.860i 1.26529 + 5.54362i
\(352\) 13.7184 + 17.4254i 0.731191 + 0.928777i
\(353\) −23.6993 + 7.31026i −1.26139 + 0.389086i −0.852128 0.523333i \(-0.824688\pi\)
−0.409258 + 0.912419i \(0.634212\pi\)
\(354\) −15.8383 26.5845i −0.841795 1.41295i
\(355\) −5.74248 + 2.25376i −0.304779 + 0.119617i
\(356\) 24.5446 12.6602i 1.30086 0.670988i
\(357\) −1.03735 + 13.9615i −0.0549021 + 0.738919i
\(358\) 0.284613 + 0.220658i 0.0150422 + 0.0116621i
\(359\) −8.35572 7.75297i −0.440998 0.409186i 0.428174 0.903696i \(-0.359157\pi\)
−0.869172 + 0.494510i \(0.835348\pi\)
\(360\) −18.6276 6.44047i −0.981758 0.339442i
\(361\) −9.03616 15.6511i −0.475587 0.823741i
\(362\) 17.5023 + 1.07063i 0.919900 + 0.0562709i
\(363\) 11.1725 + 8.90978i 0.586405 + 0.467642i
\(364\) −30.9134 19.8299i −1.62031 1.03937i
\(365\) 1.37065 1.09306i 0.0717430 0.0572131i
\(366\) −1.88681 + 1.32464i −0.0986251 + 0.0692403i
\(367\) 17.6602 + 12.0405i 0.921855 + 0.628510i 0.928446 0.371468i \(-0.121145\pi\)
−0.00659039 + 0.999978i \(0.502098\pi\)
\(368\) 1.23623 3.74075i 0.0644431 0.195000i
\(369\) 72.0837 10.8649i 3.75253 0.565602i
\(370\) −8.80474 4.09245i −0.457736 0.212756i
\(371\) −2.85828 4.94344i −0.148395 0.256650i
\(372\) 0.464805 0.119581i 0.0240990 0.00619997i
\(373\) 9.14727 + 5.28118i 0.473628 + 0.273449i 0.717757 0.696294i \(-0.245169\pi\)
−0.244129 + 0.969743i \(0.578502\pi\)
\(374\) 4.95178 7.48119i 0.256050 0.386843i
\(375\) −26.8851 4.05227i −1.38834 0.209258i
\(376\) 6.72798 5.00420i 0.346969 0.258072i
\(377\) −31.5842 + 15.2101i −1.62667 + 0.783361i
\(378\) 27.9984 50.1418i 1.44008 2.57902i
\(379\) 7.69587 15.9806i 0.395310 0.820870i −0.604397 0.796683i \(-0.706586\pi\)
0.999707 0.0241872i \(-0.00769977\pi\)
\(380\) −1.68070 0.468385i −0.0862180 0.0240276i
\(381\) 32.3291 2.42273i 1.65627 0.124120i
\(382\) 5.65127 5.38961i 0.289144 0.275757i
\(383\) −2.13775 + 28.5263i −0.109234 + 1.45763i 0.626006 + 0.779818i \(0.284689\pi\)
−0.735240 + 0.677807i \(0.762930\pi\)
\(384\) −35.1150 + 11.6499i −1.79195 + 0.594504i
\(385\) 7.34141 5.86221i 0.374153 0.298766i
\(386\) 7.21212 + 29.7151i 0.367087 + 1.51246i
\(387\) 16.4736 53.4062i 0.837401 2.71479i
\(388\) −13.8110 22.4754i −0.701149 1.14102i
\(389\) −18.4947 19.9326i −0.937720 1.01062i −0.999921 0.0125586i \(-0.996002\pi\)
0.0622008 0.998064i \(-0.480188\pi\)
\(390\) −25.3745 14.1899i −1.28489 0.718532i
\(391\) −1.59376 −0.0805998
\(392\) 5.21967 + 19.0986i 0.263633 + 0.964623i
\(393\) 24.5852 1.24016
\(394\) −0.612012 0.342249i −0.0308327 0.0172422i
\(395\) 1.77995 + 1.91834i 0.0895593 + 0.0965219i
\(396\) −51.3965 + 31.5829i −2.58277 + 1.58710i
\(397\) −3.23667 + 10.4930i −0.162444 + 0.526630i −0.999799 0.0200289i \(-0.993624\pi\)
0.837356 + 0.546658i \(0.184100\pi\)
\(398\) −6.32031 26.0407i −0.316808 1.30530i
\(399\) 3.61086 7.51024i 0.180769 0.375982i
\(400\) −14.6428 + 8.06838i −0.732141 + 0.403419i
\(401\) −2.74759 + 36.6641i −0.137208 + 1.83092i 0.326810 + 0.945090i \(0.394026\pi\)
−0.464018 + 0.885826i \(0.653593\pi\)
\(402\) −32.9551 + 31.4292i −1.64365 + 1.56755i
\(403\) 0.507908 0.0380624i 0.0253007 0.00189602i
\(404\) −1.95981 + 7.03236i −0.0975043 + 0.349873i
\(405\) 10.6541 22.1234i 0.529406 1.09932i
\(406\) 18.1365 + 5.31077i 0.900101 + 0.263569i
\(407\) −26.7744 + 12.8939i −1.32716 + 0.639126i
\(408\) 8.93214 + 12.0090i 0.442207 + 0.594532i
\(409\) 24.8634 + 3.74755i 1.22941 + 0.185304i 0.731451 0.681894i \(-0.238843\pi\)
0.497963 + 0.867198i \(0.334081\pi\)
\(410\) −6.69878 + 10.1206i −0.330829 + 0.499820i
\(411\) 20.0210 + 11.5591i 0.987561 + 0.570169i
\(412\) 0.140673 + 0.546789i 0.00693045 + 0.0269383i
\(413\) −6.45737 + 16.4839i −0.317747 + 0.811120i
\(414\) 9.71802 + 4.51694i 0.477615 + 0.221996i
\(415\) −7.73150 + 1.16534i −0.379524 + 0.0572041i
\(416\) −38.8602 + 5.60814i −1.90528 + 0.274962i
\(417\) −22.7349 15.5004i −1.11333 0.759058i
\(418\) −4.37058 + 3.06839i −0.213772 + 0.150080i
\(419\) 13.6865 10.9146i 0.668629 0.533214i −0.229299 0.973356i \(-0.573643\pi\)
0.897928 + 0.440142i \(0.145072\pi\)
\(420\) 5.03775 + 14.8409i 0.245817 + 0.724163i
\(421\) 30.0724 + 23.9819i 1.46564 + 1.16881i 0.950102 + 0.311940i \(0.100979\pi\)
0.515536 + 0.856868i \(0.327593\pi\)
\(422\) 5.42384 + 0.331780i 0.264028 + 0.0161508i
\(423\) 11.4040 + 19.7523i 0.554480 + 0.960388i
\(424\) −5.76944 1.99478i −0.280189 0.0968751i
\(425\) 4.95780 + 4.60017i 0.240489 + 0.223141i
\(426\) −24.8930 19.2994i −1.20607 0.935059i
\(427\) 1.26055 + 0.387952i 0.0610025 + 0.0187743i
\(428\) −6.64315 12.8793i −0.321109 0.622542i
\(429\) −82.8313 + 32.5089i −3.99913 + 1.56954i
\(430\) 4.76248 + 7.99380i 0.229667 + 0.385495i
\(431\) 1.17562 0.362630i 0.0566275 0.0174673i −0.266312 0.963887i \(-0.585805\pi\)
0.322939 + 0.946420i \(0.395329\pi\)
\(432\) −12.4631 60.1161i −0.599630 2.89234i
\(433\) −7.15589 31.3520i −0.343890 1.50668i −0.790785 0.612094i \(-0.790327\pi\)
0.446895 0.894586i \(-0.352530\pi\)
\(434\) −0.217103 0.168098i −0.0104213 0.00806896i
\(435\) 14.5844 + 3.32880i 0.699270 + 0.159604i
\(436\) 15.3005 + 21.1708i 0.732760 + 1.01390i
\(437\) 0.883076 + 0.346582i 0.0422433 + 0.0165793i
\(438\) 8.37661 + 3.15579i 0.400250 + 0.150790i
\(439\) 8.67385 5.91373i 0.413980 0.282247i −0.338366 0.941015i \(-0.609874\pi\)
0.752347 + 0.658767i \(0.228922\pi\)
\(440\) 1.83051 9.87521i 0.0872660 0.470782i
\(441\) −53.2435 + 8.09439i −2.53540 + 0.385447i
\(442\) 7.08690 + 14.2144i 0.337090 + 0.676111i
\(443\) 20.7407 + 30.4211i 0.985422 + 1.44535i 0.893226 + 0.449608i \(0.148436\pi\)
0.0921964 + 0.995741i \(0.470611\pi\)
\(444\) −5.05831 49.3167i −0.240057 2.34046i
\(445\) −11.6424 4.56932i −0.551905 0.216607i
\(446\) 16.3464 2.69343i 0.774025 0.127538i
\(447\) 3.65754 16.0247i 0.172996 0.757944i
\(448\) 17.5838 + 11.7818i 0.830756 + 0.556636i
\(449\) 4.08246 + 17.8864i 0.192663 + 0.844113i 0.975168 + 0.221468i \(0.0710849\pi\)
−0.782504 + 0.622645i \(0.786058\pi\)
\(450\) −17.1929 42.1009i −0.810482 1.98466i
\(451\) 10.9492 + 35.4964i 0.515578 + 1.67146i
\(452\) 0.380127 + 0.244180i 0.0178797 + 0.0114853i
\(453\) −45.7690 + 17.9630i −2.15042 + 0.843976i
\(454\) −0.142482 10.3955i −0.00668701 0.487883i
\(455\) 2.48939 + 16.4451i 0.116704 + 0.770957i
\(456\) −2.33766 8.59638i −0.109471 0.402562i
\(457\) 12.4287 + 11.5321i 0.581389 + 0.539451i 0.915101 0.403225i \(-0.132111\pi\)
−0.333712 + 0.942675i \(0.608301\pi\)
\(458\) −5.56942 17.2144i −0.260242 0.804374i
\(459\) −21.5087 + 12.4181i −1.00394 + 0.579626i
\(460\) −1.64236 + 0.697108i −0.0765752 + 0.0325028i
\(461\) 11.6806 + 9.31500i 0.544022 + 0.433843i 0.856549 0.516066i \(-0.172604\pi\)
−0.312527 + 0.949909i \(0.601176\pi\)
\(462\) 44.9000 + 16.8830i 2.08894 + 0.785466i
\(463\) −0.974625 1.22214i −0.0452947 0.0567977i 0.758668 0.651477i \(-0.225850\pi\)
−0.803963 + 0.594679i \(0.797279\pi\)
\(464\) 18.3737 8.40033i 0.852976 0.389976i
\(465\) −0.179583 0.122437i −0.00832794 0.00567790i
\(466\) 29.3307 + 4.01059i 1.35872 + 0.185787i
\(467\) −3.58696 23.7979i −0.165985 1.10124i −0.904336 0.426821i \(-0.859633\pi\)
0.738351 0.674416i \(-0.235605\pi\)
\(468\) −2.92705 106.758i −0.135303 4.93491i
\(469\) 25.7645 + 3.86664i 1.18970 + 0.178545i
\(470\) −3.71331 0.794159i −0.171282 0.0366318i
\(471\) 27.7103 47.9957i 1.27682 2.21153i
\(472\) 6.31718 + 17.8405i 0.290772 + 0.821176i
\(473\) 28.1615 + 4.24466i 1.29487 + 0.195170i
\(474\) −3.76311 + 12.8210i −0.172845 + 0.588887i
\(475\) −1.74668 3.62702i −0.0801431 0.166419i
\(476\) 2.29337 8.24953i 0.105116 0.378117i
\(477\) 7.20463 14.9606i 0.329878 0.684998i
\(478\) 20.9181 + 18.8823i 0.956770 + 0.863656i
\(479\) −1.12364 14.9939i −0.0513404 0.685091i −0.962195 0.272362i \(-0.912195\pi\)
0.910854 0.412728i \(-0.135424\pi\)
\(480\) 14.4572 + 8.46824i 0.659878 + 0.386521i
\(481\) 3.93165 52.4643i 0.179268 2.39216i
\(482\) 14.0738 + 17.1601i 0.641042 + 0.781621i
\(483\) −1.90150 8.30668i −0.0865213 0.377967i
\(484\) −5.63446 6.68120i −0.256112 0.303691i
\(485\) −3.52130 + 11.4158i −0.159894 + 0.518363i
\(486\) 60.0228 5.32624i 2.72269 0.241603i
\(487\) 29.1333 27.0318i 1.32016 1.22493i 0.364233 0.931308i \(-0.381331\pi\)
0.955923 0.293618i \(-0.0948593\pi\)
\(488\) 1.29022 0.568633i 0.0584054 0.0257408i
\(489\) −41.0264 −1.85528
\(490\) 4.93940 7.48313i 0.223139 0.338053i
\(491\) 16.9392i 0.764454i −0.924068 0.382227i \(-0.875157\pi\)
0.924068 0.382227i \(-0.124843\pi\)
\(492\) −61.8998 2.93558i −2.79066 0.132346i
\(493\) −5.55890 5.99106i −0.250360 0.269824i
\(494\) −0.835646 9.41711i −0.0375975 0.423696i
\(495\) 26.1054 + 8.05246i 1.17335 + 0.361931i
\(496\) −0.293091 + 0.0160837i −0.0131602 + 0.000722181i
\(497\) 0.0114521 + 18.0201i 0.000513698 + 0.808310i
\(498\) −25.3167 30.8686i −1.13447 1.38325i
\(499\) −10.0435 0.752660i −0.449611 0.0336937i −0.151999 0.988381i \(-0.548571\pi\)
−0.297612 + 0.954687i \(0.596190\pi\)
\(500\) 15.6399 + 5.64861i 0.699436 + 0.252613i
\(501\) −2.53268 + 0.189798i −0.113152 + 0.00847954i
\(502\) −16.9013 + 18.7236i −0.754344 + 0.835673i
\(503\) 24.2387 + 11.6727i 1.08075 + 0.520461i 0.887556 0.460700i \(-0.152401\pi\)
0.193193 + 0.981161i \(0.438116\pi\)
\(504\) −37.3643 + 43.8022i −1.66434 + 1.95111i
\(505\) 2.97868 1.43446i 0.132550 0.0638325i
\(506\) −1.53794 + 5.23978i −0.0683697 + 0.232937i
\(507\) 17.1432 113.738i 0.761355 5.05126i
\(508\) −19.6801 2.41673i −0.873163 0.107225i
\(509\) −21.6896 12.5225i −0.961376 0.555051i −0.0647798 0.997900i \(-0.520635\pi\)
−0.896596 + 0.442849i \(0.853968\pi\)
\(510\) 1.41752 6.62799i 0.0627687 0.293492i
\(511\) −1.51257 4.89259i −0.0669122 0.216436i
\(512\) 22.4555 2.78397i 0.992402 0.123035i
\(513\) 14.6181 2.20332i 0.645405 0.0972791i
\(514\) 2.14795 + 0.293705i 0.0947422 + 0.0129548i
\(515\) 0.144033 0.211258i 0.00634686 0.00930914i
\(516\) −22.6187 + 41.7809i −0.995731 + 1.83930i
\(517\) −9.08669 + 7.24639i −0.399632 + 0.318696i
\(518\) −20.5121 + 19.5873i −0.901250 + 0.860616i
\(519\) 14.4880 18.1673i 0.635951 0.797457i
\(520\) 13.5204 + 11.5480i 0.592907 + 0.506415i
\(521\) 8.78304 + 15.2127i 0.384792 + 0.666480i 0.991740 0.128262i \(-0.0409398\pi\)
−0.606948 + 0.794741i \(0.707606\pi\)
\(522\) 16.9161 + 52.2856i 0.740398 + 2.28848i
\(523\) −14.5765 + 15.7098i −0.637388 + 0.686941i −0.966300 0.257420i \(-0.917128\pi\)
0.328912 + 0.944361i \(0.393318\pi\)
\(524\) −14.7455 2.94287i −0.644162 0.128560i
\(525\) −18.0610 + 31.3285i −0.788247 + 1.36729i
\(526\) 27.0409 0.370627i 1.17904 0.0161601i
\(527\) 0.0433820 + 0.110535i 0.00188975 + 0.00481500i
\(528\) 48.1011 17.7777i 2.09333 0.773677i
\(529\) −21.0512 + 6.49343i −0.915269 + 0.282323i
\(530\) 1.04518 + 2.55937i 0.0453997 + 0.111172i
\(531\) −50.1897 + 11.4555i −2.17805 + 0.497125i
\(532\) −3.06468 + 4.07221i −0.132871 + 0.176553i
\(533\) −64.1155 14.6339i −2.77715 0.633866i
\(534\) −10.3824 63.0104i −0.449289 2.72673i
\(535\) −2.39765 + 6.10912i −0.103660 + 0.264120i
\(536\) 23.5277 14.9056i 1.01624 0.643826i
\(537\) 0.688039 0.469097i 0.0296911 0.0202430i
\(538\) 1.71590 + 3.44163i 0.0739777 + 0.148379i
\(539\) −8.12234 26.2136i −0.349854 1.12910i
\(540\) −16.7329 + 22.2046i −0.720071 + 0.955534i
\(541\) 20.9180 + 30.6810i 0.899334 + 1.31908i 0.947339 + 0.320233i \(0.103761\pi\)
−0.0480048 + 0.998847i \(0.515286\pi\)
\(542\) 5.32110 14.1241i 0.228561 0.606683i
\(543\) 14.8133 37.7436i 0.635699 1.61973i
\(544\) −3.91977 8.27183i −0.168059 0.354652i
\(545\) 2.63228 11.5328i 0.112754 0.494010i
\(546\) −65.6303 + 53.8961i −2.80872 + 2.30654i
\(547\) −1.99084 + 0.454397i −0.0851223 + 0.0194286i −0.264870 0.964284i \(-0.585329\pi\)
0.179748 + 0.983713i \(0.442472\pi\)
\(548\) −10.6244 9.32936i −0.453851 0.398530i
\(549\) 1.13046 + 3.66486i 0.0482468 + 0.156412i
\(550\) 19.9081 11.8607i 0.848884 0.505741i
\(551\) 1.77727 + 4.52840i 0.0757141 + 0.192916i
\(552\) −7.34986 5.38237i −0.312831 0.229089i
\(553\) 7.11410 2.79730i 0.302522 0.118953i
\(554\) −13.3813 10.3744i −0.568516 0.440766i
\(555\) −15.2706 + 16.4578i −0.648202 + 0.698595i
\(556\) 11.7804 + 12.0181i 0.499599 + 0.509681i
\(557\) 32.3272 18.6641i 1.36975 0.790824i 0.378851 0.925457i \(-0.376319\pi\)
0.990895 + 0.134634i \(0.0429858\pi\)
\(558\) 0.0487497 0.796947i 0.00206374 0.0337374i
\(559\) −31.4364 + 39.4200i −1.32962 + 1.66729i
\(560\) −1.24503 9.50420i −0.0526123 0.401626i
\(561\) −12.9343 16.2191i −0.546087 0.684771i
\(562\) 5.05396 3.54816i 0.213188 0.149670i
\(563\) −8.39990 + 12.3204i −0.354014 + 0.519243i −0.961397 0.275166i \(-0.911267\pi\)
0.607383 + 0.794409i \(0.292219\pi\)
\(564\) −6.22055 18.3637i −0.261933 0.773252i
\(565\) −0.0304947 0.202319i −0.00128292 0.00851162i
\(566\) −2.58115 + 5.55325i −0.108494 + 0.233421i
\(567\) −48.8210 52.5495i −2.05029 2.20687i
\(568\) 12.6200 + 14.5550i 0.529524 + 0.610713i
\(569\) 5.09548 8.82563i 0.213614 0.369990i −0.739229 0.673454i \(-0.764810\pi\)
0.952843 + 0.303464i \(0.0981433\pi\)
\(570\) −2.22676 + 3.36421i −0.0932687 + 0.140911i
\(571\) −4.84280 + 32.1299i −0.202665 + 1.34459i 0.623790 + 0.781592i \(0.285592\pi\)
−0.826455 + 0.563002i \(0.809646\pi\)
\(572\) 53.5713 9.58296i 2.23993 0.400684i
\(573\) −7.83486 16.2693i −0.327306 0.679658i
\(574\) 20.3892 + 29.0030i 0.851029 + 1.21056i
\(575\) −3.70899 1.78616i −0.154676 0.0744879i
\(576\) 0.457433 + 61.5471i 0.0190597 + 2.56446i
\(577\) 2.97073 + 39.6417i 0.123673 + 1.65031i 0.621782 + 0.783191i \(0.286409\pi\)
−0.498108 + 0.867115i \(0.665972\pi\)
\(578\) 14.7183 14.0369i 0.612202 0.583856i
\(579\) 70.5078 + 5.28383i 2.93020 + 0.219588i
\(580\) −8.34888 3.74229i −0.346669 0.155390i
\(581\) −5.06815 + 22.2702i −0.210262 + 0.923925i
\(582\) −59.2773 + 14.3871i −2.45712 + 0.596365i
\(583\) 8.08553 + 2.49406i 0.334869 + 0.103293i
\(584\) −4.64631 2.89544i −0.192266 0.119814i
\(585\) −35.4545 + 32.8970i −1.46586 + 1.36012i
\(586\) −30.2920 16.9398i −1.25135 0.699778i
\(587\) 20.6640i 0.852896i 0.904512 + 0.426448i \(0.140235\pi\)
−0.904512 + 0.426448i \(0.859765\pi\)
\(588\) 45.7328 + 2.11061i 1.88599 + 0.0870401i
\(589\) 0.0706799i 0.00291231i
\(590\) 4.18334 7.48069i 0.172225 0.307975i
\(591\) −1.18858 + 1.10284i −0.0488917 + 0.0453648i
\(592\) −2.86941 + 30.1843i −0.117932 + 1.24057i
\(593\) −32.8870 10.1443i −1.35051 0.416576i −0.466694 0.884419i \(-0.654555\pi\)
−0.883812 + 0.467843i \(0.845031\pi\)
\(594\) 20.0713 + 82.6972i 0.823537 + 3.39311i
\(595\) −3.49255 + 1.68466i −0.143181 + 0.0690642i
\(596\) −4.11187 + 9.17338i −0.168429 + 0.375756i
\(597\) −61.7892 4.63046i −2.52886 0.189512i
\(598\) −6.67228 6.99621i −0.272850 0.286096i
\(599\) −1.54989 20.6819i −0.0633268 0.845038i −0.934931 0.354828i \(-0.884539\pi\)
0.871605 0.490210i \(-0.163080\pi\)
\(600\) 7.32819 + 37.9577i 0.299172 + 1.54962i
\(601\) −15.7690 7.59394i −0.643230 0.309763i 0.0836835 0.996492i \(-0.473332\pi\)
−0.726913 + 0.686729i \(0.759046\pi\)
\(602\) 26.8163 4.43610i 1.09295 0.180802i
\(603\) 32.8710 + 68.2574i 1.33861 + 2.77966i
\(604\) 29.6012 5.29514i 1.20446 0.215456i
\(605\) −0.589911 + 3.91380i −0.0239833 + 0.159119i
\(606\) 14.0765 + 9.31719i 0.571818 + 0.378485i
\(607\) −21.9793 + 38.0692i −0.892112 + 1.54518i −0.0547727 + 0.998499i \(0.517443\pi\)
−0.837339 + 0.546684i \(0.815890\pi\)
\(608\) 0.373074 + 5.43569i 0.0151301 + 0.220446i
\(609\) 24.5932 36.1209i 0.996567 1.46369i
\(610\) −0.579037 0.269136i −0.0234445 0.0108970i
\(611\) −3.06670 20.3462i −0.124065 0.823121i
\(612\) 23.5824 7.98832i 0.953261 0.322909i
\(613\) 3.57123 5.23804i 0.144241 0.211562i −0.747319 0.664465i \(-0.768659\pi\)
0.891560 + 0.452903i \(0.149612\pi\)
\(614\) −10.2221 14.5603i −0.412532 0.587606i
\(615\) 17.4976 + 21.9412i 0.705570 + 0.884757i
\(616\) −24.9089 15.5005i −1.00361 0.624533i
\(617\) 16.7201 20.9664i 0.673128 0.844076i −0.321573 0.946885i \(-0.604212\pi\)
0.994701 + 0.102809i \(0.0327831\pi\)
\(618\) 1.30308 + 0.0797105i 0.0524177 + 0.00320643i
\(619\) 3.58159 2.06783i 0.143956 0.0831132i −0.426292 0.904586i \(-0.640180\pi\)
0.570248 + 0.821472i \(0.306847\pi\)
\(620\) 0.0930528 + 0.0949307i 0.00373709 + 0.00381251i
\(621\) 10.2824 11.0818i 0.412619 0.444697i
\(622\) 21.8209 28.1453i 0.874938 1.12853i
\(623\) −24.8326 + 26.7973i −0.994898 + 1.07361i
\(624\) −15.3220 + 89.4856i −0.613369 + 3.58229i
\(625\) 4.88375 + 12.4436i 0.195350 + 0.497744i
\(626\) −10.0035 16.7908i −0.399820 0.671097i
\(627\) 3.63965 + 11.7995i 0.145354 + 0.471225i
\(628\) −22.3650 + 25.4696i −0.892461 + 1.01635i
\(629\) 11.9581 2.72936i 0.476800 0.108827i
\(630\) 26.0706 0.373899i 1.03868 0.0148965i
\(631\) −0.369027 + 1.61681i −0.0146907 + 0.0643643i −0.981742 0.190218i \(-0.939081\pi\)
0.967051 + 0.254582i \(0.0819378\pi\)
\(632\) 3.79169 7.23922i 0.150825 0.287961i
\(633\) 4.59053 11.6965i 0.182457 0.464894i
\(634\) 37.2899 + 14.0485i 1.48097 + 0.557939i
\(635\) 5.05829 + 7.41915i 0.200732 + 0.294420i
\(636\) −8.49519 + 11.2731i −0.336856 + 0.447008i
\(637\) 47.3807 + 10.7510i 1.87729 + 0.425970i
\(638\) −25.0610 + 12.4947i −0.992173 + 0.494670i
\(639\) −43.2955 + 29.5184i −1.71274 + 1.16773i
\(640\) −7.65738 6.80956i −0.302685 0.269171i
\(641\) −0.851106 + 2.16858i −0.0336167 + 0.0856539i −0.946696 0.322127i \(-0.895602\pi\)
0.913080 + 0.407781i \(0.133697\pi\)
\(642\) −33.0633 + 5.44792i −1.30491 + 0.215012i
\(643\) −23.7336 5.41704i −0.935963 0.213627i −0.272773 0.962078i \(-0.587941\pi\)
−0.663190 + 0.748451i \(0.730798\pi\)
\(644\) 0.146151 + 5.20973i 0.00575917 + 0.205292i
\(645\) 20.9765 4.78775i 0.825950 0.188518i
\(646\) 2.04051 0.833290i 0.0802827 0.0327854i
\(647\) 30.1456 9.29867i 1.18514 0.365568i 0.361335 0.932436i \(-0.382321\pi\)
0.823809 + 0.566868i \(0.191845\pi\)
\(648\) −76.2300 8.30230i −2.99460 0.326145i
\(649\) −9.58400 24.4196i −0.376205 0.958554i
\(650\) 0.562258 + 41.0222i 0.0220536 + 1.60902i
\(651\) −0.524353 + 0.357986i −0.0205510 + 0.0140306i
\(652\) 24.6065 + 4.91090i 0.963666 + 0.192326i
\(653\) 30.9542 33.3607i 1.21133 1.30550i 0.272078 0.962275i \(-0.412289\pi\)
0.939252 0.343229i \(-0.111521\pi\)
\(654\) 57.4672 18.5925i 2.24715 0.727026i
\(655\) 3.40474 + 5.89718i 0.133034 + 0.230422i
\(656\) 36.7744 + 9.17013i 1.43580 + 0.358034i
\(657\) 9.28476 11.6427i 0.362233 0.454226i
\(658\) −6.11643 + 9.25353i −0.238443 + 0.360740i
\(659\) −23.1951 + 18.4974i −0.903551 + 0.720558i −0.960636 0.277811i \(-0.910391\pi\)
0.0570846 + 0.998369i \(0.481820\pi\)
\(660\) −20.4229 11.0562i −0.794961 0.430363i
\(661\) −18.5575 + 27.2188i −0.721803 + 1.05869i 0.273500 + 0.961872i \(0.411819\pi\)
−0.995302 + 0.0968177i \(0.969134\pi\)
\(662\) 2.48195 18.1513i 0.0964639 0.705470i
\(663\) 36.3166 5.47385i 1.41042 0.212587i
\(664\) 11.4893 + 21.5446i 0.445870 + 0.836091i
\(665\) 2.30151 0.173946i 0.0892489 0.00674532i
\(666\) −80.6505 17.2486i −3.12514 0.668369i
\(667\) 4.30816 + 2.48732i 0.166812 + 0.0963092i
\(668\) 1.54175 + 0.189328i 0.0596521 + 0.00732532i
\(669\) 5.70947 37.8798i 0.220741 1.46452i
\(670\) −12.1027 3.55228i −0.467567 0.137237i
\(671\) −1.76080 + 0.847956i −0.0679749 + 0.0327350i
\(672\) 38.4362 30.2989i 1.48271 1.16881i
\(673\) −3.85062 1.85436i −0.148430 0.0714803i 0.358194 0.933647i \(-0.383393\pi\)
−0.506624 + 0.862167i \(0.669107\pi\)
\(674\) −6.68205 6.03174i −0.257383 0.232334i
\(675\) −63.9723 + 4.79406i −2.46229 + 0.184523i
\(676\) −23.8965 + 66.1646i −0.919095 + 2.54479i
\(677\) −12.2192 0.915700i −0.469621 0.0351932i −0.162181 0.986761i \(-0.551853\pi\)
−0.307439 + 0.951568i \(0.599472\pi\)
\(678\) 0.807774 0.662491i 0.0310224 0.0254428i
\(679\) 27.2975 + 21.7406i 1.04758 + 0.834329i
\(680\) −1.64356 + 3.80561i −0.0630278 + 0.145938i
\(681\) −22.9718 7.08586i −0.880282 0.271531i
\(682\) 0.405269 0.0359623i 0.0155185 0.00137707i
\(683\) 22.0206 + 23.7325i 0.842594 + 0.908100i 0.996800 0.0799386i \(-0.0254724\pi\)
−0.154206 + 0.988039i \(0.549282\pi\)
\(684\) −14.8038 0.702064i −0.566036 0.0268441i
\(685\) 6.40314i 0.244652i
\(686\) −15.0903 21.4075i −0.576150 0.817344i
\(687\) −41.8365 −1.59616
\(688\) 18.5673 22.3516i 0.707870 0.852146i
\(689\) −10.9812 + 10.1890i −0.418350 + 0.388172i
\(690\) 0.364659 + 4.10943i 0.0138823 + 0.156443i
\(691\) 6.31871 20.4848i 0.240375 0.779277i −0.752338 0.658777i \(-0.771074\pi\)
0.992713 0.120500i \(-0.0384497\pi\)
\(692\) −10.8641 + 9.16204i −0.412992 + 0.348289i
\(693\) 49.7162 62.4235i 1.88856 2.37127i
\(694\) 12.6957 10.4123i 0.481924 0.395247i
\(695\) 0.569537 7.59995i 0.0216038 0.288282i
\(696\) −5.40295 46.4020i −0.204798 1.75886i
\(697\) −1.14577 15.2892i −0.0433990 0.579119i
\(698\) 1.53648 1.70213i 0.0581565 0.0644266i
\(699\) 29.7006 61.6739i 1.12338 2.33272i
\(700\) 14.5825 16.6281i 0.551169 0.628482i
\(701\) 5.73531 + 11.9095i 0.216620 + 0.449815i 0.980755 0.195240i \(-0.0625486\pi\)
−0.764136 + 0.645055i \(0.776834\pi\)
\(702\) −144.559 42.4297i −5.45602 1.60141i
\(703\) −7.21932 1.08814i −0.272282 0.0410399i
\(704\) −30.9777 + 4.90487i −1.16752 + 0.184859i
\(705\) −4.39026 + 7.60414i −0.165347 + 0.286389i
\(706\) 7.33536 34.2985i 0.276070 1.29084i
\(707\) −0.727822 9.62998i −0.0273726 0.362173i
\(708\) 43.7463 1.19941i 1.64409 0.0450767i
\(709\) 1.64497 + 10.9137i 0.0617782 + 0.409871i 0.998250 + 0.0591294i \(0.0188325\pi\)
−0.936472 + 0.350742i \(0.885929\pi\)
\(710\) 1.18192 8.64373i 0.0443566 0.324393i
\(711\) 18.3664 + 12.5220i 0.688794 + 0.469612i
\(712\) −1.31534 + 39.0347i −0.0492943 + 1.46289i
\(713\) −0.0450642 0.0565087i −0.00168767 0.00211627i
\(714\) −16.5169 10.9174i −0.618129 0.408573i
\(715\) −19.2689 15.3664i −0.720615 0.574671i
\(716\) −0.468818 + 0.198993i −0.0175206 + 0.00743671i
\(717\) 56.4309 32.5804i 2.10745 1.21674i
\(718\) 15.3372 4.96210i 0.572381 0.185184i
\(719\) −16.6635 15.4615i −0.621443 0.576615i 0.305325 0.952248i \(-0.401235\pi\)
−0.926768 + 0.375633i \(0.877425\pi\)
\(720\) 20.8074 18.5468i 0.775445 0.691199i
\(721\) −0.421129 0.616840i −0.0156837 0.0229723i
\(722\) 25.5557 0.350271i 0.951085 0.0130357i
\(723\) 47.7704 18.7485i 1.77660 0.697264i
\(724\) −13.4025 + 20.8644i −0.498102 + 0.775421i
\(725\) −6.22235 20.1724i −0.231092 0.749183i
\(726\) −18.7094 + 7.64044i −0.694371 + 0.283563i
\(727\) 0.655500 + 2.87193i 0.0243112 + 0.106514i 0.985628 0.168932i \(-0.0540317\pi\)
−0.961317 + 0.275446i \(0.911175\pi\)
\(728\) 45.8147 24.4694i 1.69800 0.906896i
\(729\) 12.9073 56.5504i 0.478046 2.09446i
\(730\) 0.403084 + 2.44631i 0.0149188 + 0.0905419i
\(731\) −10.9422 4.29449i −0.404711 0.158837i
\(732\) −0.332655 3.24327i −0.0122953 0.119875i
\(733\) −8.11085 11.8964i −0.299581 0.439405i 0.646703 0.762742i \(-0.276147\pi\)
−0.946284 + 0.323337i \(0.895195\pi\)
\(734\) −27.0519 + 13.4873i −0.998505 + 0.497826i
\(735\) −12.9474 16.1932i −0.477571 0.597297i
\(736\) 3.76397 + 4.10798i 0.138742 + 0.151422i
\(737\) −31.8971 + 21.7471i −1.17495 + 0.801065i
\(738\) −36.3454 + 96.4739i −1.33789 + 3.55125i
\(739\) −7.01079 2.75153i −0.257896 0.101217i 0.232871 0.972508i \(-0.425188\pi\)
−0.490767 + 0.871291i \(0.663283\pi\)
\(740\) 11.1289 8.04304i 0.409107 0.295668i
\(741\) −21.3128 4.86451i −0.782945 0.178702i
\(742\) 8.07473 0.115806i 0.296433 0.00425139i
\(743\) −5.90629 25.8771i −0.216681 0.949340i −0.959911 0.280305i \(-0.909564\pi\)
0.743230 0.669036i \(-0.233293\pi\)
\(744\) −0.173233 + 0.656259i −0.00635103 + 0.0240596i
\(745\) 4.35032 1.34190i 0.159383 0.0491633i
\(746\) −12.8326 + 7.64530i −0.469836 + 0.279914i
\(747\) −61.8246 + 24.2644i −2.26204 + 0.887786i
\(748\) 5.81620 + 11.2760i 0.212661 + 0.412292i
\(749\) 14.0613 + 13.0304i 0.513790 + 0.476120i
\(750\) 23.5594 30.3877i 0.860266 1.10960i
\(751\) −3.93803 3.65396i −0.143701 0.133335i 0.605047 0.796190i \(-0.293154\pi\)
−0.748748 + 0.662855i \(0.769345\pi\)
\(752\) 1.53276 + 11.7587i 0.0558942 + 0.428794i
\(753\) 29.1624 + 50.5107i 1.06274 + 1.84071i
\(754\) 3.02696 49.4838i 0.110235 1.80210i
\(755\) −10.6471 8.49082i −0.387489 0.309012i
\(756\) 42.5650 + 69.1697i 1.54807 + 2.51568i
\(757\) 8.97552 7.15774i 0.326221 0.260152i −0.446660 0.894704i \(-0.647387\pi\)
0.772881 + 0.634552i \(0.218815\pi\)
\(758\) 14.4131 + 20.5299i 0.523508 + 0.745679i
\(759\) 10.4330 + 7.11312i 0.378695 + 0.258190i
\(760\) 1.73825 1.75121i 0.0630529 0.0635232i
\(761\) −9.91839 + 1.49496i −0.359542 + 0.0541922i −0.326329 0.945256i \(-0.605812\pi\)
−0.0332122 + 0.999448i \(0.510574\pi\)
\(762\) −19.3249 + 41.5768i −0.700067 + 1.50617i
\(763\) −28.5629 19.4473i −1.03405 0.704039i
\(764\) 2.75169 + 10.6957i 0.0995527 + 0.386957i
\(765\) −9.76511 5.63789i −0.353058 0.203838i
\(766\) −33.7350 22.3291i −1.21890 0.806783i
\(767\) 45.9240 + 6.92193i 1.65822 + 0.249936i
\(768\) 9.85865 51.3845i 0.355743 1.85418i
\(769\) −22.7341 + 10.9481i −0.819811 + 0.394800i −0.796284 0.604923i \(-0.793204\pi\)
−0.0235270 + 0.999723i \(0.507490\pi\)
\(770\) 2.16841 + 13.1081i 0.0781439 + 0.472382i
\(771\) 2.17504