Properties

Label 441.2.y.a.25.4
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.533217 + 2.33617i) q^{2} +(1.50562 + 0.856211i) q^{3} +(-3.37146 - 1.62361i) q^{4} +(0.810456 + 2.06501i) q^{5} +(-2.80308 + 3.06086i) q^{6} +(1.78727 - 1.95082i) q^{7} +(2.60267 - 3.26364i) q^{8} +(1.53381 + 2.57826i) q^{9} +O(q^{10})\) \(q+(-0.533217 + 2.33617i) q^{2} +(1.50562 + 0.856211i) q^{3} +(-3.37146 - 1.62361i) q^{4} +(0.810456 + 2.06501i) q^{5} +(-2.80308 + 3.06086i) q^{6} +(1.78727 - 1.95082i) q^{7} +(2.60267 - 3.26364i) q^{8} +(1.53381 + 2.57826i) q^{9} +(-5.25637 + 0.792271i) q^{10} +(-3.87240 + 1.19448i) q^{11} +(-3.68599 - 5.33122i) q^{12} +(-0.720250 + 0.222168i) q^{13} +(3.60445 + 5.21557i) q^{14} +(-0.547840 + 3.80305i) q^{15} +(1.57041 + 1.96924i) q^{16} +(-0.536710 + 7.16190i) q^{17} +(-6.84112 + 2.20847i) q^{18} +(-0.480533 - 0.832307i) q^{19} +(0.620347 - 8.27795i) q^{20} +(4.36126 - 1.40692i) q^{21} +(-0.725679 - 9.68351i) q^{22} +(-0.508812 + 0.346902i) q^{23} +(6.71300 - 2.68539i) q^{24} +(0.0578353 - 0.0536633i) q^{25} +(-0.134973 - 1.80109i) q^{26} +(0.101802 + 5.19516i) q^{27} +(-9.19305 + 3.67527i) q^{28} +(0.599840 - 8.00430i) q^{29} +(-8.59247 - 3.30770i) q^{30} +0.283781 q^{31} +(2.08408 - 1.00364i) q^{32} +(-6.85310 - 1.51715i) q^{33} +(-16.4453 - 5.07269i) q^{34} +(5.47695 + 2.10967i) q^{35} +(-0.985077 - 11.1828i) q^{36} +(9.54258 + 6.50602i) q^{37} +(2.20064 - 0.678809i) q^{38} +(-1.27465 - 0.282185i) q^{39} +(8.84880 + 2.72949i) q^{40} +(3.34735 + 0.504532i) q^{41} +(0.961314 + 10.9389i) q^{42} +(-5.57380 + 0.840115i) q^{43} +(14.9950 + 2.26013i) q^{44} +(-4.08105 + 5.25690i) q^{45} +(-0.539117 - 1.37365i) q^{46} +(0.605043 - 2.65087i) q^{47} +(0.678371 + 4.30953i) q^{48} +(-0.611364 - 6.97325i) q^{49} +(0.0945281 + 0.163728i) q^{50} +(-6.94018 + 10.3236i) q^{51} +(2.78900 + 0.420375i) q^{52} +(11.0198 - 7.51315i) q^{53} +(-12.1911 - 2.53232i) q^{54} +(-5.60501 - 7.02846i) q^{55} +(-1.71511 - 10.9103i) q^{56} +(-0.0108715 - 1.66458i) q^{57} +(18.3796 + 5.66936i) q^{58} +(-3.71979 - 4.66447i) q^{59} +(8.02168 - 11.9323i) q^{60} +(7.61552 - 3.66744i) q^{61} +(-0.151317 + 0.662963i) q^{62} +(7.77103 + 1.61586i) q^{63} +(2.35436 + 10.3151i) q^{64} +(-1.04251 - 1.30727i) q^{65} +(7.19852 - 15.2011i) q^{66} -0.902009 q^{67} +(13.4376 - 23.2746i) q^{68} +(-1.06310 + 0.0866539i) q^{69} +(-7.84896 + 11.6702i) q^{70} +(-0.131043 - 0.0631069i) q^{71} +(12.4065 + 1.70456i) q^{72} +(6.50032 + 2.00508i) q^{73} +(-20.2875 + 18.8240i) q^{74} +(0.133025 - 0.0312776i) q^{75} +(0.268755 + 3.58628i) q^{76} +(-4.59080 + 9.68918i) q^{77} +(1.33890 - 2.82733i) q^{78} -1.44471 q^{79} +(-2.79374 + 4.83890i) q^{80} +(-4.29487 + 7.90911i) q^{81} +(-2.96354 + 7.55098i) q^{82} +(0.715065 + 0.220568i) q^{83} +(-16.9881 - 2.33761i) q^{84} +(-15.2244 + 4.69610i) q^{85} +(1.00939 - 13.4693i) q^{86} +(7.75650 - 11.5379i) q^{87} +(-6.18022 + 15.7469i) q^{88} +(-10.1370 + 9.40578i) q^{89} +(-10.1049 - 12.3371i) q^{90} +(-0.853870 + 1.80215i) q^{91} +(2.27867 - 0.343454i) q^{92} +(0.427268 + 0.242977i) q^{93} +(5.87027 + 2.82697i) q^{94} +(1.32927 - 1.66685i) q^{95} +(3.99716 + 0.273306i) q^{96} +(5.42962 - 9.40439i) q^{97} +(16.6167 + 2.29000i) q^{98} +(-9.01918 - 8.15196i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.533217 + 2.33617i −0.377041 + 1.65193i 0.329428 + 0.944181i \(0.393144\pi\)
−0.706469 + 0.707744i \(0.749713\pi\)
\(3\) 1.50562 + 0.856211i 0.869272 + 0.494333i
\(4\) −3.37146 1.62361i −1.68573 0.811804i
\(5\) 0.810456 + 2.06501i 0.362447 + 0.923500i 0.989501 + 0.144525i \(0.0461653\pi\)
−0.627054 + 0.778976i \(0.715740\pi\)
\(6\) −2.80308 + 3.06086i −1.14435 + 1.24959i
\(7\) 1.78727 1.95082i 0.675523 0.737339i
\(8\) 2.60267 3.26364i 0.920182 1.15387i
\(9\) 1.53381 + 2.57826i 0.511269 + 0.859421i
\(10\) −5.25637 + 0.792271i −1.66221 + 0.250538i
\(11\) −3.87240 + 1.19448i −1.16757 + 0.360148i −0.817139 0.576440i \(-0.804441\pi\)
−0.350432 + 0.936588i \(0.613965\pi\)
\(12\) −3.68599 5.33122i −1.06405 1.53899i
\(13\) −0.720250 + 0.222168i −0.199761 + 0.0616182i −0.393021 0.919529i \(-0.628570\pi\)
0.193260 + 0.981148i \(0.438094\pi\)
\(14\) 3.60445 + 5.21557i 0.963329 + 1.39392i
\(15\) −0.547840 + 3.80305i −0.141452 + 0.981943i
\(16\) 1.57041 + 1.96924i 0.392603 + 0.492309i
\(17\) −0.536710 + 7.16190i −0.130171 + 1.73702i 0.424924 + 0.905229i \(0.360301\pi\)
−0.555095 + 0.831787i \(0.687318\pi\)
\(18\) −6.84112 + 2.20847i −1.61247 + 0.520541i
\(19\) −0.480533 0.832307i −0.110242 0.190944i 0.805626 0.592425i \(-0.201829\pi\)
−0.915868 + 0.401480i \(0.868496\pi\)
\(20\) 0.620347 8.27795i 0.138714 1.85101i
\(21\) 4.36126 1.40692i 0.951705 0.307015i
\(22\) −0.725679 9.68351i −0.154715 2.06453i
\(23\) −0.508812 + 0.346902i −0.106095 + 0.0723340i −0.615205 0.788367i \(-0.710927\pi\)
0.509111 + 0.860701i \(0.329974\pi\)
\(24\) 6.71300 2.68539i 1.37029 0.548152i
\(25\) 0.0578353 0.0536633i 0.0115671 0.0107327i
\(26\) −0.134973 1.80109i −0.0264704 0.353223i
\(27\) 0.101802 + 5.19516i 0.0195917 + 0.999808i
\(28\) −9.19305 + 3.67527i −1.73732 + 0.694561i
\(29\) 0.599840 8.00430i 0.111387 1.48636i −0.609210 0.793009i \(-0.708514\pi\)
0.720598 0.693353i \(-0.243867\pi\)
\(30\) −8.59247 3.30770i −1.56876 0.603901i
\(31\) 0.283781 0.0509686 0.0254843 0.999675i \(-0.491887\pi\)
0.0254843 + 0.999675i \(0.491887\pi\)
\(32\) 2.08408 1.00364i 0.368416 0.177420i
\(33\) −6.85310 1.51715i −1.19297 0.264103i
\(34\) −16.4453 5.07269i −2.82034 0.869960i
\(35\) 5.47695 + 2.10967i 0.925774 + 0.356599i
\(36\) −0.985077 11.1828i −0.164179 1.86380i
\(37\) 9.54258 + 6.50602i 1.56879 + 1.06958i 0.961391 + 0.275186i \(0.0887395\pi\)
0.607399 + 0.794397i \(0.292213\pi\)
\(38\) 2.20064 0.678809i 0.356992 0.110117i
\(39\) −1.27465 0.282185i −0.204107 0.0451857i
\(40\) 8.84880 + 2.72949i 1.39912 + 0.431571i
\(41\) 3.34735 + 0.504532i 0.522769 + 0.0787947i 0.405125 0.914261i \(-0.367228\pi\)
0.117643 + 0.993056i \(0.462466\pi\)
\(42\) 0.961314 + 10.9389i 0.148334 + 1.68790i
\(43\) −5.57380 + 0.840115i −0.849997 + 0.128116i −0.559572 0.828782i \(-0.689035\pi\)
−0.290424 + 0.956898i \(0.593796\pi\)
\(44\) 14.9950 + 2.26013i 2.26058 + 0.340727i
\(45\) −4.08105 + 5.25690i −0.608367 + 0.783652i
\(46\) −0.539117 1.37365i −0.0794884 0.202533i
\(47\) 0.605043 2.65087i 0.0882547 0.386669i −0.911439 0.411436i \(-0.865027\pi\)
0.999693 + 0.0247672i \(0.00788445\pi\)
\(48\) 0.678371 + 4.30953i 0.0979145 + 0.622027i
\(49\) −0.611364 6.97325i −0.0873377 0.996179i
\(50\) 0.0945281 + 0.163728i 0.0133683 + 0.0231546i
\(51\) −6.94018 + 10.3236i −0.971819 + 1.44559i
\(52\) 2.78900 + 0.420375i 0.386765 + 0.0582955i
\(53\) 11.0198 7.51315i 1.51368 1.03201i 0.530857 0.847461i \(-0.321870\pi\)
0.982823 0.184549i \(-0.0590824\pi\)
\(54\) −12.1911 2.53232i −1.65899 0.344605i
\(55\) −5.60501 7.02846i −0.755780 0.947718i
\(56\) −1.71511 10.9103i −0.229191 1.45795i
\(57\) −0.0108715 1.66458i −0.00143997 0.220479i
\(58\) 18.3796 + 5.66936i 2.41336 + 0.744423i
\(59\) −3.71979 4.66447i −0.484275 0.607262i 0.478327 0.878182i \(-0.341244\pi\)
−0.962602 + 0.270920i \(0.912672\pi\)
\(60\) 8.02168 11.9323i 1.03559 1.54046i
\(61\) 7.61552 3.66744i 0.975067 0.469568i 0.122662 0.992449i \(-0.460857\pi\)
0.852406 + 0.522881i \(0.175143\pi\)
\(62\) −0.151317 + 0.662963i −0.0192173 + 0.0841963i
\(63\) 7.77103 + 1.61586i 0.979058 + 0.203580i
\(64\) 2.35436 + 10.3151i 0.294295 + 1.28939i
\(65\) −1.04251 1.30727i −0.129307 0.162146i
\(66\) 7.19852 15.2011i 0.886077 1.87112i
\(67\) −0.902009 −0.110198 −0.0550989 0.998481i \(-0.517547\pi\)
−0.0550989 + 0.998481i \(0.517547\pi\)
\(68\) 13.4376 23.2746i 1.62955 2.82246i
\(69\) −1.06310 + 0.0866539i −0.127982 + 0.0104319i
\(70\) −7.84896 + 11.6702i −0.938130 + 1.39486i
\(71\) −0.131043 0.0631069i −0.0155519 0.00748941i 0.426092 0.904680i \(-0.359890\pi\)
−0.441644 + 0.897191i \(0.645604\pi\)
\(72\) 12.4065 + 1.70456i 1.46212 + 0.200885i
\(73\) 6.50032 + 2.00508i 0.760805 + 0.234677i 0.650795 0.759253i \(-0.274436\pi\)
0.110010 + 0.993931i \(0.464912\pi\)
\(74\) −20.2875 + 18.8240i −2.35837 + 2.18825i
\(75\) 0.133025 0.0312776i 0.0153604 0.00361162i
\(76\) 0.268755 + 3.58628i 0.0308283 + 0.411375i
\(77\) −4.59080 + 9.68918i −0.523170 + 1.10418i
\(78\) 1.33890 2.82733i 0.151600 0.320133i
\(79\) −1.44471 −0.162543 −0.0812715 0.996692i \(-0.525898\pi\)
−0.0812715 + 0.996692i \(0.525898\pi\)
\(80\) −2.79374 + 4.83890i −0.312349 + 0.541005i
\(81\) −4.29487 + 7.90911i −0.477208 + 0.878790i
\(82\) −2.96354 + 7.55098i −0.327268 + 0.833866i
\(83\) 0.715065 + 0.220568i 0.0784885 + 0.0242105i 0.333751 0.942661i \(-0.391686\pi\)
−0.255262 + 0.966872i \(0.582162\pi\)
\(84\) −16.9881 2.33761i −1.85355 0.255054i
\(85\) −15.2244 + 4.69610i −1.65131 + 0.509363i
\(86\) 1.00939 13.4693i 0.108845 1.45244i
\(87\) 7.75650 11.5379i 0.831584 1.23699i
\(88\) −6.18022 + 15.7469i −0.658813 + 1.67863i
\(89\) −10.1370 + 9.40578i −1.07452 + 0.997011i −1.00000 0.000208781i \(-0.999934\pi\)
−0.0745219 + 0.997219i \(0.523743\pi\)
\(90\) −10.1049 12.3371i −1.06515 1.30045i
\(91\) −0.853870 + 1.80215i −0.0895098 + 0.188916i
\(92\) 2.27867 0.343454i 0.237568 0.0358076i
\(93\) 0.427268 + 0.242977i 0.0443056 + 0.0251955i
\(94\) 5.87027 + 2.82697i 0.605473 + 0.291580i
\(95\) 1.32927 1.66685i 0.136380 0.171016i
\(96\) 3.99716 + 0.273306i 0.407959 + 0.0278942i
\(97\) 5.42962 9.40439i 0.551295 0.954871i −0.446887 0.894591i \(-0.647467\pi\)
0.998182 0.0602801i \(-0.0191994\pi\)
\(98\) 16.6167 + 2.29000i 1.67854 + 0.231325i
\(99\) −9.01918 8.15196i −0.906462 0.819303i
\(100\) −0.282117 + 0.0870217i −0.0282117 + 0.00870217i
\(101\) −9.79797 1.47681i −0.974934 0.146948i −0.357794 0.933801i \(-0.616471\pi\)
−0.617141 + 0.786853i \(0.711709\pi\)
\(102\) −20.4171 21.7182i −2.02159 2.15042i
\(103\) 5.33478 + 13.5928i 0.525652 + 1.33934i 0.909408 + 0.415905i \(0.136535\pi\)
−0.383757 + 0.923434i \(0.625370\pi\)
\(104\) −1.14950 + 2.92887i −0.112717 + 0.287199i
\(105\) 6.43991 + 7.86579i 0.628471 + 0.767623i
\(106\) 11.6761 + 29.7502i 1.13408 + 2.88960i
\(107\) −3.03131 + 2.81264i −0.293047 + 0.271908i −0.812971 0.582305i \(-0.802151\pi\)
0.519923 + 0.854213i \(0.325961\pi\)
\(108\) 8.09167 17.6805i 0.778622 1.70131i
\(109\) −2.70416 2.50909i −0.259011 0.240327i 0.539969 0.841685i \(-0.318436\pi\)
−0.798980 + 0.601358i \(0.794627\pi\)
\(110\) 19.4084 9.34660i 1.85052 0.891163i
\(111\) 8.79701 + 17.9661i 0.834975 + 1.70526i
\(112\) 6.64836 + 0.455960i 0.628211 + 0.0430842i
\(113\) 13.3109 12.3507i 1.25218 1.16185i 0.272311 0.962209i \(-0.412212\pi\)
0.979869 0.199644i \(-0.0639784\pi\)
\(114\) 3.89455 + 0.862184i 0.364758 + 0.0807509i
\(115\) −1.12873 0.769552i −0.105254 0.0717611i
\(116\) −15.0182 + 26.0123i −1.39440 + 2.41518i
\(117\) −1.67753 1.51623i −0.155088 0.140176i
\(118\) 12.8805 6.20290i 1.18574 0.571024i
\(119\) 13.0123 + 13.8472i 1.19284 + 1.26937i
\(120\) 10.9859 + 11.6860i 1.00287 + 1.06678i
\(121\) 4.48006 3.05445i 0.407278 0.277677i
\(122\) 4.50706 + 19.7467i 0.408050 + 1.78778i
\(123\) 4.60787 + 3.62567i 0.415477 + 0.326916i
\(124\) −0.956756 0.460749i −0.0859192 0.0413765i
\(125\) 10.1510 + 4.88848i 0.907936 + 0.437239i
\(126\) −7.91859 + 17.2929i −0.705444 + 1.54057i
\(127\) −14.4749 + 6.97076i −1.28444 + 0.618555i −0.946528 0.322622i \(-0.895436\pi\)
−0.337914 + 0.941177i \(0.609721\pi\)
\(128\) −20.7270 −1.83203
\(129\) −9.11136 3.50745i −0.802211 0.308814i
\(130\) 3.60988 1.73843i 0.316608 0.152470i
\(131\) 14.2378 2.14600i 1.24396 0.187497i 0.506114 0.862467i \(-0.331082\pi\)
0.737845 + 0.674970i \(0.235843\pi\)
\(132\) 20.6416 + 16.2418i 1.79662 + 1.41366i
\(133\) −2.48252 0.550123i −0.215262 0.0477017i
\(134\) 0.480966 2.10725i 0.0415491 0.182039i
\(135\) −10.6455 + 4.42067i −0.916222 + 0.380471i
\(136\) 21.9770 + 20.3917i 1.88451 + 1.74857i
\(137\) −5.41579 + 13.7992i −0.462702 + 1.17895i 0.489099 + 0.872228i \(0.337326\pi\)
−0.951801 + 0.306717i \(0.900770\pi\)
\(138\) 0.364424 2.52979i 0.0310218 0.215350i
\(139\) 4.19884 + 0.632874i 0.356141 + 0.0536796i 0.324676 0.945825i \(-0.394745\pi\)
0.0314649 + 0.999505i \(0.489983\pi\)
\(140\) −15.0400 16.0051i −1.27111 1.35268i
\(141\) 3.18067 3.47317i 0.267861 0.292493i
\(142\) 0.217303 0.272489i 0.0182357 0.0228668i
\(143\) 2.52372 1.72064i 0.211044 0.143887i
\(144\) −2.66850 + 7.06936i −0.222375 + 0.589114i
\(145\) 17.0151 5.24847i 1.41303 0.435861i
\(146\) −8.15030 + 14.1167i −0.674524 + 1.16831i
\(147\) 5.05009 11.0226i 0.416524 0.909125i
\(148\) −21.6092 37.4282i −1.77626 3.07658i
\(149\) −2.97442 2.75985i −0.243674 0.226096i 0.548876 0.835904i \(-0.315056\pi\)
−0.792549 + 0.609808i \(0.791247\pi\)
\(150\) 0.00213859 + 0.327448i 0.000174615 + 0.0267360i
\(151\) −0.632844 8.44471i −0.0515001 0.687221i −0.961884 0.273457i \(-0.911833\pi\)
0.910384 0.413764i \(-0.135786\pi\)
\(152\) −3.96702 0.597932i −0.321768 0.0484987i
\(153\) −19.2885 + 9.60119i −1.55938 + 0.776210i
\(154\) −20.1877 15.8913i −1.62677 1.28056i
\(155\) 0.229992 + 0.586011i 0.0184734 + 0.0470695i
\(156\) 3.83926 + 3.02090i 0.307387 + 0.241866i
\(157\) 2.14951 + 2.69540i 0.171550 + 0.215117i 0.860172 0.510003i \(-0.170356\pi\)
−0.688623 + 0.725120i \(0.741784\pi\)
\(158\) 0.770345 3.37510i 0.0612854 0.268509i
\(159\) 23.0245 1.87674i 1.82596 0.148835i
\(160\) 3.76158 + 3.49023i 0.297379 + 0.275927i
\(161\) −0.232640 + 1.61260i −0.0183346 + 0.127091i
\(162\) −16.1870 14.2508i −1.27177 1.11965i
\(163\) 2.94560 7.50527i 0.230717 0.587858i −0.767892 0.640579i \(-0.778694\pi\)
0.998609 + 0.0527211i \(0.0167894\pi\)
\(164\) −10.4663 7.13579i −0.817280 0.557212i
\(165\) −2.42120 15.3813i −0.188490 1.19743i
\(166\) −0.896570 + 1.55291i −0.0695874 + 0.120529i
\(167\) −9.67124 6.59374i −0.748383 0.510239i 0.128047 0.991768i \(-0.459129\pi\)
−0.876430 + 0.481529i \(0.840082\pi\)
\(168\) 6.75923 17.8953i 0.521486 1.38065i
\(169\) −10.2717 + 7.00313i −0.790131 + 0.538702i
\(170\) −2.85301 38.0708i −0.218816 2.91990i
\(171\) 1.40886 2.51554i 0.107738 0.192368i
\(172\) 20.1558 + 6.21725i 1.53687 + 0.474061i
\(173\) 12.5004 + 6.01988i 0.950388 + 0.457683i 0.843822 0.536623i \(-0.180300\pi\)
0.106566 + 0.994306i \(0.466014\pi\)
\(174\) 22.8186 + 24.2727i 1.72987 + 1.84011i
\(175\) −0.00132021 0.208737i −9.97982e−5 0.0157790i
\(176\) −8.43347 5.74984i −0.635697 0.433411i
\(177\) −1.60684 10.2079i −0.120777 0.767269i
\(178\) −16.5683 28.6972i −1.24185 2.15094i
\(179\) 1.78761 23.8540i 0.133612 1.78293i −0.380080 0.924954i \(-0.624104\pi\)
0.513692 0.857975i \(-0.328277\pi\)
\(180\) 22.2942 11.0974i 1.66171 0.827149i
\(181\) −2.04024 8.93887i −0.151650 0.664421i −0.992406 0.123007i \(-0.960746\pi\)
0.840756 0.541414i \(-0.182111\pi\)
\(182\) −3.75483 2.95572i −0.278327 0.219093i
\(183\) 14.6062 + 0.998701i 1.07972 + 0.0738261i
\(184\) −0.192104 + 2.56345i −0.0141621 + 0.188980i
\(185\) −5.70115 + 24.9784i −0.419157 + 1.83645i
\(186\) −0.795462 + 0.868613i −0.0583261 + 0.0636898i
\(187\) −6.47636 28.3748i −0.473599 2.07497i
\(188\) −6.34385 + 7.95493i −0.462673 + 0.580173i
\(189\) 10.3167 + 9.08653i 0.750432 + 0.660947i
\(190\) 3.18527 + 3.99421i 0.231084 + 0.289770i
\(191\) −12.3830 + 15.5277i −0.896000 + 1.12355i 0.0957559 + 0.995405i \(0.469473\pi\)
−0.991756 + 0.128143i \(0.959098\pi\)
\(192\) −5.28713 + 17.5465i −0.381566 + 1.26631i
\(193\) 2.96425 3.71705i 0.213371 0.267559i −0.663615 0.748074i \(-0.730979\pi\)
0.876987 + 0.480515i \(0.159550\pi\)
\(194\) 19.0751 + 17.6991i 1.36951 + 1.27072i
\(195\) −0.450333 2.86086i −0.0322490 0.204870i
\(196\) −9.26064 + 24.5026i −0.661474 + 1.75019i
\(197\) −22.1698 −1.57953 −0.789766 0.613408i \(-0.789798\pi\)
−0.789766 + 0.613408i \(0.789798\pi\)
\(198\) 23.8536 16.7236i 1.69520 1.18850i
\(199\) −6.85760 17.4729i −0.486122 1.23862i −0.938030 0.346555i \(-0.887352\pi\)
0.451908 0.892065i \(-0.350744\pi\)
\(200\) −0.0246118 0.328421i −0.00174032 0.0232229i
\(201\) −1.35809 0.772309i −0.0957920 0.0544745i
\(202\) 8.67452 22.1023i 0.610337 1.55511i
\(203\) −14.5428 15.4760i −1.02071 1.08620i
\(204\) 40.1600 23.5374i 2.81176 1.64795i
\(205\) 1.67102 + 7.32122i 0.116709 + 0.511336i
\(206\) −34.5998 + 5.21508i −2.41068 + 0.363352i
\(207\) −1.67482 0.779769i −0.116408 0.0541977i
\(208\) −1.56859 1.06945i −0.108762 0.0741528i
\(209\) 2.85499 + 2.64904i 0.197483 + 0.183238i
\(210\) −21.8097 + 10.8506i −1.50501 + 0.748762i
\(211\) 6.16257 5.71803i 0.424249 0.393646i −0.438948 0.898512i \(-0.644649\pi\)
0.863197 + 0.504867i \(0.168458\pi\)
\(212\) −49.3510 + 7.43847i −3.38944 + 0.510876i
\(213\) −0.143268 0.207216i −0.00981659 0.0141982i
\(214\) −4.95448 8.58141i −0.338681 0.586613i
\(215\) −6.25217 10.8291i −0.426394 0.738537i
\(216\) 17.2201 + 13.1890i 1.17168 + 0.897399i
\(217\) 0.507192 0.553605i 0.0344305 0.0375812i
\(218\) 7.30357 4.97949i 0.494660 0.337254i
\(219\) 8.07026 + 8.58454i 0.545338 + 0.580090i
\(220\) 7.48559 + 32.7965i 0.504678 + 2.21114i
\(221\) −1.20458 5.27760i −0.0810286 0.355010i
\(222\) −46.6626 + 10.9715i −3.13179 + 0.736362i
\(223\) 15.4311 10.5207i 1.03334 0.704520i 0.0770770 0.997025i \(-0.475441\pi\)
0.956264 + 0.292505i \(0.0944889\pi\)
\(224\) 1.76689 5.85942i 0.118055 0.391499i
\(225\) 0.227066 + 0.0668054i 0.0151378 + 0.00445369i
\(226\) 21.7557 + 37.6821i 1.44717 + 2.50657i
\(227\) −0.905861 1.56900i −0.0601241 0.104138i 0.834397 0.551164i \(-0.185816\pi\)
−0.894521 + 0.447026i \(0.852483\pi\)
\(228\) −2.66597 + 5.62971i −0.176558 + 0.372836i
\(229\) 9.88392 1.48976i 0.653148 0.0984462i 0.185895 0.982570i \(-0.440482\pi\)
0.467253 + 0.884123i \(0.345244\pi\)
\(230\) 2.39966 2.22656i 0.158229 0.146815i
\(231\) −15.2080 + 10.6576i −1.00061 + 0.701217i
\(232\) −24.5620 22.7902i −1.61257 1.49625i
\(233\) −8.46196 5.76927i −0.554362 0.377957i 0.253495 0.967337i \(-0.418420\pi\)
−0.807856 + 0.589379i \(0.799372\pi\)
\(234\) 4.43667 3.11053i 0.290034 0.203341i
\(235\) 5.96443 0.898993i 0.389077 0.0586439i
\(236\) 4.96784 + 21.7655i 0.323379 + 1.41681i
\(237\) −2.17519 1.23698i −0.141294 0.0803504i
\(238\) −39.2880 + 23.0154i −2.54666 + 1.49187i
\(239\) −5.94407 + 15.1452i −0.384490 + 0.979664i 0.599330 + 0.800502i \(0.295434\pi\)
−0.983820 + 0.179162i \(0.942661\pi\)
\(240\) −8.34944 + 4.89353i −0.538954 + 0.315876i
\(241\) −1.25476 16.7436i −0.0808262 1.07855i −0.879220 0.476416i \(-0.841936\pi\)
0.798394 0.602136i \(-0.205683\pi\)
\(242\) 4.74689 + 12.0949i 0.305142 + 0.777488i
\(243\) −13.2383 + 8.23084i −0.849239 + 0.528008i
\(244\) −31.6299 −2.02489
\(245\) 13.9043 6.91399i 0.888316 0.441719i
\(246\) −10.9272 + 8.83152i −0.696693 + 0.563077i
\(247\) 0.531016 + 0.492710i 0.0337877 + 0.0313504i
\(248\) 0.738588 0.926160i 0.0469004 0.0588112i
\(249\) 0.887766 + 0.944339i 0.0562599 + 0.0598450i
\(250\) −16.8331 + 21.1080i −1.06462 + 1.33499i
\(251\) 9.91489 + 12.4329i 0.625822 + 0.784756i 0.989151 0.146905i \(-0.0469312\pi\)
−0.363329 + 0.931661i \(0.618360\pi\)
\(252\) −23.5762 18.0649i −1.48516 1.13798i
\(253\) 1.55595 1.95111i 0.0978220 0.122665i
\(254\) −8.56663 37.5329i −0.537518 2.35502i
\(255\) −26.9430 5.96471i −1.68724 0.373525i
\(256\) 6.34327 27.7917i 0.396454 1.73698i
\(257\) 0.202026 2.69585i 0.0126020 0.168162i −0.987352 0.158545i \(-0.949320\pi\)
0.999954 0.00961722i \(-0.00306130\pi\)
\(258\) 13.0523 19.4155i 0.812603 1.20876i
\(259\) 29.7472 6.98783i 1.84840 0.434202i
\(260\) 1.39229 + 6.10001i 0.0863461 + 0.378307i
\(261\) 21.5572 10.7305i 1.33436 0.664202i
\(262\) −2.57839 + 34.4062i −0.159293 + 2.12562i
\(263\) −10.2530 17.7587i −0.632225 1.09505i −0.987096 0.160130i \(-0.948809\pi\)
0.354871 0.934915i \(-0.384525\pi\)
\(264\) −22.7878 + 18.4174i −1.40249 + 1.13351i
\(265\) 24.4458 + 16.6668i 1.50169 + 1.02384i
\(266\) 2.60890 5.50626i 0.159962 0.337611i
\(267\) −23.3159 + 5.48214i −1.42691 + 0.335502i
\(268\) 3.04108 + 1.46451i 0.185764 + 0.0894591i
\(269\) 13.7720 + 4.24811i 0.839695 + 0.259012i 0.684628 0.728892i \(-0.259965\pi\)
0.155067 + 0.987904i \(0.450441\pi\)
\(270\) −4.65108 27.2270i −0.283055 1.65698i
\(271\) −0.931351 12.4280i −0.0565756 0.754948i −0.951288 0.308305i \(-0.900238\pi\)
0.894712 0.446643i \(-0.147381\pi\)
\(272\) −14.9463 + 10.1902i −0.906254 + 0.617874i
\(273\) −2.82862 + 1.98226i −0.171196 + 0.119972i
\(274\) −29.3496 20.0102i −1.77307 1.20886i
\(275\) −0.159862 + 0.276888i −0.00964002 + 0.0166970i
\(276\) 3.72489 + 1.43391i 0.224212 + 0.0863111i
\(277\) 3.32523 + 2.26711i 0.199794 + 0.136217i 0.659085 0.752069i \(-0.270944\pi\)
−0.459291 + 0.888286i \(0.651896\pi\)
\(278\) −3.71740 + 9.47177i −0.222955 + 0.568079i
\(279\) 0.435266 + 0.731663i 0.0260587 + 0.0438035i
\(280\) 21.1399 12.3840i 1.26335 0.740088i
\(281\) 0.0407866 + 0.0378444i 0.00243312 + 0.00225761i 0.681388 0.731922i \(-0.261376\pi\)
−0.678955 + 0.734180i \(0.737567\pi\)
\(282\) 6.41794 + 9.28255i 0.382183 + 0.552768i
\(283\) 3.19913 14.0163i 0.190168 0.833182i −0.786356 0.617774i \(-0.788035\pi\)
0.976524 0.215408i \(-0.0691082\pi\)
\(284\) 0.339344 + 0.425524i 0.0201364 + 0.0252502i
\(285\) 3.42856 1.37152i 0.203090 0.0812418i
\(286\) 2.67403 + 6.81332i 0.158119 + 0.402880i
\(287\) 6.96686 5.62833i 0.411241 0.332230i
\(288\) 5.78422 + 3.83391i 0.340838 + 0.225915i
\(289\) −34.1946 5.15401i −2.01145 0.303177i
\(290\) 3.18859 + 42.5488i 0.187241 + 2.49855i
\(291\) 16.2271 9.51057i 0.951250 0.557519i
\(292\) −18.6601 17.3140i −1.09200 1.01323i
\(293\) −1.77773 3.07912i −0.103856 0.179884i 0.809414 0.587238i \(-0.199785\pi\)
−0.913270 + 0.407354i \(0.866451\pi\)
\(294\) 23.0578 + 17.6753i 1.34476 + 1.03084i
\(295\) 6.61744 11.4617i 0.385282 0.667329i
\(296\) 46.0695 14.2105i 2.67773 0.825971i
\(297\) −6.59970 19.9961i −0.382954 1.16029i
\(298\) 8.03351 5.47715i 0.465369 0.317283i
\(299\) 0.289401 0.362898i 0.0167365 0.0209869i
\(300\) −0.499271 0.110530i −0.0288254 0.00638145i
\(301\) −8.32295 + 12.3750i −0.479727 + 0.713281i
\(302\) 20.0658 + 3.02443i 1.15466 + 0.174036i
\(303\) −13.4876 10.6126i −0.774842 0.609680i
\(304\) 0.884374 2.25335i 0.0507223 0.129238i
\(305\) 13.7453 + 12.7538i 0.787056 + 0.730281i
\(306\) −12.1451 50.1807i −0.694291 2.86864i
\(307\) −1.63192 + 7.14992i −0.0931388 + 0.408068i −0.999908 0.0135595i \(-0.995684\pi\)
0.906769 + 0.421627i \(0.138541\pi\)
\(308\) 31.2091 25.2130i 1.77830 1.43664i
\(309\) −3.60613 + 25.0333i −0.205145 + 1.42410i
\(310\) −1.49166 + 0.224832i −0.0847206 + 0.0127696i
\(311\) 11.0599 5.32619i 0.627152 0.302020i −0.0931810 0.995649i \(-0.529704\pi\)
0.720332 + 0.693629i \(0.243989\pi\)
\(312\) −4.23843 + 3.42556i −0.239954 + 0.193934i
\(313\) −24.5875 −1.38977 −0.694884 0.719122i \(-0.744544\pi\)
−0.694884 + 0.719122i \(0.744544\pi\)
\(314\) −7.44309 + 3.58440i −0.420038 + 0.202279i
\(315\) 2.96131 + 17.3568i 0.166851 + 0.977948i
\(316\) 4.87079 + 2.34565i 0.274003 + 0.131953i
\(317\) 4.10050 + 1.97469i 0.230307 + 0.110910i 0.545479 0.838125i \(-0.316348\pi\)
−0.315172 + 0.949035i \(0.602062\pi\)
\(318\) −7.89264 + 54.7899i −0.442597 + 3.07246i
\(319\) 7.23813 + 31.7123i 0.405258 + 1.77555i
\(320\) −19.3927 + 13.2217i −1.08409 + 0.739117i
\(321\) −6.97222 + 1.63934i −0.389151 + 0.0914992i
\(322\) −3.64328 1.40335i −0.203032 0.0782059i
\(323\) 6.21881 2.99482i 0.346024 0.166636i
\(324\) 27.3213 19.6920i 1.51785 1.09400i
\(325\) −0.0297336 + 0.0515001i −0.00164932 + 0.00285671i
\(326\) 15.9630 + 10.8834i 0.884108 + 0.602775i
\(327\) −1.92313 6.09307i −0.106349 0.336948i
\(328\) 10.3587 9.61143i 0.571961 0.530702i
\(329\) −4.08998 5.91813i −0.225488 0.326277i
\(330\) 37.2244 + 2.54522i 2.04914 + 0.140110i
\(331\) 7.53249 3.62746i 0.414023 0.199383i −0.215264 0.976556i \(-0.569061\pi\)
0.629287 + 0.777173i \(0.283347\pi\)
\(332\) −2.05269 1.90462i −0.112656 0.104530i
\(333\) −2.13775 + 34.5822i −0.117148 + 1.89510i
\(334\) 20.5610 19.0778i 1.12505 1.04389i
\(335\) −0.731039 1.86266i −0.0399409 0.101768i
\(336\) 9.61953 + 6.37890i 0.524789 + 0.347998i
\(337\) −12.1802 + 31.0345i −0.663495 + 1.69056i 0.0581617 + 0.998307i \(0.481476\pi\)
−0.721657 + 0.692251i \(0.756619\pi\)
\(338\) −10.8835 27.7307i −0.591984 1.50835i
\(339\) 30.6159 7.19857i 1.66283 0.390972i
\(340\) 58.9529 + 8.88572i 3.19717 + 0.481896i
\(341\) −1.09891 + 0.338970i −0.0595095 + 0.0183563i
\(342\) 5.12551 + 4.63268i 0.277156 + 0.250506i
\(343\) −14.6962 11.2704i −0.793520 0.608544i
\(344\) −11.7649 + 20.3774i −0.634322 + 1.09868i
\(345\) −1.04054 2.12508i −0.0560207 0.114411i
\(346\) −20.7289 + 25.9932i −1.11439 + 1.39741i
\(347\) −7.92842 3.81812i −0.425620 0.204968i 0.208797 0.977959i \(-0.433045\pi\)
−0.634417 + 0.772991i \(0.718760\pi\)
\(348\) −44.8837 + 26.3059i −2.40602 + 1.41015i
\(349\) 25.6094 3.85999i 1.37084 0.206621i 0.577992 0.816043i \(-0.303837\pi\)
0.792846 + 0.609422i \(0.208598\pi\)
\(350\) 0.488349 + 0.108218i 0.0261034 + 0.00578447i
\(351\) −1.22752 3.71919i −0.0655201 0.198516i
\(352\) −6.87155 + 6.37587i −0.366255 + 0.339835i
\(353\) 8.51648 21.6996i 0.453286 1.15496i −0.503456 0.864021i \(-0.667939\pi\)
0.956743 0.290935i \(-0.0939662\pi\)
\(354\) 24.7041 + 1.68915i 1.31301 + 0.0897772i
\(355\) 0.0241118 0.321750i 0.00127972 0.0170767i
\(356\) 49.4478 15.2526i 2.62073 0.808388i
\(357\) 7.73548 + 31.9900i 0.409405 + 1.69309i
\(358\) 54.7738 + 16.8955i 2.89489 + 0.892954i
\(359\) −9.94939 + 25.3506i −0.525109 + 1.33795i 0.384744 + 0.923023i \(0.374290\pi\)
−0.909853 + 0.414932i \(0.863806\pi\)
\(360\) 6.53500 + 27.0010i 0.344425 + 1.42308i
\(361\) 9.03818 15.6546i 0.475693 0.823925i
\(362\) 21.9706 1.15475
\(363\) 9.36053 0.762983i 0.491300 0.0400462i
\(364\) 5.80476 4.68951i 0.304252 0.245797i
\(365\) 1.12771 + 15.0483i 0.0590271 + 0.787661i
\(366\) −10.1214 + 33.5901i −0.529055 + 1.75578i
\(367\) −9.95753 + 9.23924i −0.519779 + 0.482284i −0.895881 0.444294i \(-0.853455\pi\)
0.376102 + 0.926578i \(0.377264\pi\)
\(368\) −1.48218 0.457191i −0.0772638 0.0238327i
\(369\) 3.83338 + 9.40421i 0.199558 + 0.489563i
\(370\) −55.3139 26.6378i −2.87563 1.38483i
\(371\) 5.03848 34.9255i 0.261585 1.81324i
\(372\) −1.04602 1.51290i −0.0542334 0.0784402i
\(373\) 6.42279 11.1246i 0.332559 0.576010i −0.650454 0.759546i \(-0.725421\pi\)
0.983013 + 0.183536i \(0.0587545\pi\)
\(374\) 69.7418 3.60626
\(375\) 11.0981 + 16.0516i 0.573102 + 0.828903i
\(376\) −7.07676 8.87398i −0.364956 0.457640i
\(377\) 1.34626 + 5.89836i 0.0693361 + 0.303781i
\(378\) −26.7288 + 19.2566i −1.37478 + 0.990453i
\(379\) 2.29145 10.0395i 0.117704 0.515694i −0.881361 0.472444i \(-0.843372\pi\)
0.999064 0.0432494i \(-0.0137710\pi\)
\(380\) −7.18790 + 3.46151i −0.368731 + 0.177572i
\(381\) −27.7622 1.89824i −1.42230 0.0972500i
\(382\) −29.6727 37.2084i −1.51819 1.90375i
\(383\) −33.7245 10.4026i −1.72324 0.531549i −0.734166 0.678971i \(-0.762426\pi\)
−0.989074 + 0.147422i \(0.952903\pi\)
\(384\) −31.2071 17.7467i −1.59253 0.905631i
\(385\) −23.7289 1.62738i −1.20934 0.0829391i
\(386\) 7.10309 + 8.90700i 0.361538 + 0.453354i
\(387\) −10.7152 13.0821i −0.544683 0.665003i
\(388\) −33.5748 + 22.8909i −1.70450 + 1.16211i
\(389\) −6.62190 0.998091i −0.335744 0.0506052i −0.0209931 0.999780i \(-0.506683\pi\)
−0.314751 + 0.949174i \(0.601921\pi\)
\(390\) 6.92359 + 0.473401i 0.350590 + 0.0239716i
\(391\) −2.21139 3.83024i −0.111835 0.193704i
\(392\) −24.3494 16.1538i −1.22983 0.815889i
\(393\) 23.2741 + 8.95946i 1.17403 + 0.451945i
\(394\) 11.8213 51.7925i 0.595548 2.60927i
\(395\) −1.17088 2.98335i −0.0589132 0.150108i
\(396\) 17.1722 + 42.1276i 0.862935 + 2.11699i
\(397\) 4.57672 + 0.689829i 0.229699 + 0.0346215i 0.262883 0.964828i \(-0.415327\pi\)
−0.0331841 + 0.999449i \(0.510565\pi\)
\(398\) 44.4763 6.70372i 2.22939 0.336027i
\(399\) −3.26672 2.95384i −0.163540 0.147877i
\(400\) 0.196501 + 0.0296178i 0.00982505 + 0.00148089i
\(401\) −0.823674 0.254070i −0.0411323 0.0126876i 0.274121 0.961695i \(-0.411613\pi\)
−0.315253 + 0.949008i \(0.602089\pi\)
\(402\) 2.52840 2.76092i 0.126105 0.137702i
\(403\) −0.204393 + 0.0630470i −0.0101816 + 0.00314060i
\(404\) 30.6357 + 20.8870i 1.52418 + 1.03917i
\(405\) −19.8132 2.45896i −0.984526 0.122187i
\(406\) 43.9091 25.7226i 2.17917 1.27659i
\(407\) −44.7239 13.7955i −2.21688 0.683818i
\(408\) 15.6295 + 49.5191i 0.773777 + 2.45156i
\(409\) −29.6374 + 14.2726i −1.46547 + 0.705735i −0.985204 0.171386i \(-0.945175\pi\)
−0.480269 + 0.877121i \(0.659461\pi\)
\(410\) −17.9947 −0.888693
\(411\) −19.9692 + 16.1394i −0.985006 + 0.796095i
\(412\) 4.08340 54.4891i 0.201174 2.68449i
\(413\) −15.7478 1.08002i −0.774897 0.0531443i
\(414\) 2.71472 3.49689i 0.133421 0.171863i
\(415\) 0.124053 + 1.65538i 0.00608954 + 0.0812592i
\(416\) −1.27808 + 1.18589i −0.0626630 + 0.0581428i
\(417\) 5.78000 + 4.54796i 0.283048 + 0.222715i
\(418\) −7.71094 + 5.25723i −0.377155 + 0.257140i
\(419\) 2.02058 + 26.9627i 0.0987116 + 1.31721i 0.798123 + 0.602495i \(0.205827\pi\)
−0.699411 + 0.714719i \(0.746554\pi\)
\(420\) −8.94092 36.9751i −0.436272 1.80420i
\(421\) −2.31329 + 30.8687i −0.112743 + 1.50445i 0.598285 + 0.801283i \(0.295849\pi\)
−0.711028 + 0.703164i \(0.751770\pi\)
\(422\) 10.0723 + 17.4458i 0.490314 + 0.849248i
\(423\) 7.76265 2.50596i 0.377433 0.121844i
\(424\) 4.16056 55.5188i 0.202055 2.69623i
\(425\) 0.353290 + 0.443012i 0.0171371 + 0.0214893i
\(426\) 0.560485 0.224209i 0.0271556 0.0108630i
\(427\) 6.45645 21.4112i 0.312450 1.03616i
\(428\) 14.7865 4.56104i 0.714734 0.220466i
\(429\) 5.27300 0.429806i 0.254583 0.0207512i
\(430\) 28.6324 8.83192i 1.38078 0.425913i
\(431\) −15.1355 + 2.28131i −0.729051 + 0.109887i −0.503071 0.864245i \(-0.667796\pi\)
−0.225980 + 0.974132i \(0.572558\pi\)
\(432\) −10.0706 + 8.35901i −0.484523 + 0.402173i
\(433\) −11.4986 + 14.4188i −0.552588 + 0.692924i −0.977168 0.212467i \(-0.931850\pi\)
0.424580 + 0.905390i \(0.360422\pi\)
\(434\) 1.02287 + 1.48008i 0.0490996 + 0.0710462i
\(435\) 30.1121 + 6.66630i 1.44377 + 0.319625i
\(436\) 5.04316 + 12.8498i 0.241524 + 0.615392i
\(437\) 0.533230 + 0.256790i 0.0255078 + 0.0122839i
\(438\) −24.3582 + 14.2761i −1.16388 + 0.682140i
\(439\) −4.96933 + 21.7721i −0.237173 + 1.03912i 0.706362 + 0.707851i \(0.250335\pi\)
−0.943535 + 0.331273i \(0.892522\pi\)
\(440\) −37.5264 −1.78900
\(441\) 17.0412 12.2719i 0.811484 0.584375i
\(442\) 12.9717 0.617000
\(443\) −3.87088 + 16.9594i −0.183911 + 0.805768i 0.795833 + 0.605516i \(0.207033\pi\)
−0.979744 + 0.200252i \(0.935824\pi\)
\(444\) −0.488882 74.8547i −0.0232013 3.55245i
\(445\) −27.6386 13.3101i −1.31020 0.630958i
\(446\) 16.3502 + 41.6595i 0.774202 + 1.97263i
\(447\) −2.11533 6.70203i −0.100052 0.316995i
\(448\) 24.3308 + 13.8429i 1.14952 + 0.654017i
\(449\) −12.1337 + 15.2152i −0.572626 + 0.718050i −0.980835 0.194838i \(-0.937582\pi\)
0.408210 + 0.912888i \(0.366153\pi\)
\(450\) −0.277145 + 0.494845i −0.0130647 + 0.0233272i
\(451\) −13.5649 + 2.04458i −0.638747 + 0.0962757i
\(452\) −64.9296 + 20.0281i −3.05403 + 0.942044i
\(453\) 6.27763 13.2564i 0.294949 0.622840i
\(454\) 4.14847 1.27963i 0.194698 0.0600562i
\(455\) −4.41348 0.302687i −0.206907 0.0141902i
\(456\) −5.46089 4.29687i −0.255729 0.201219i
\(457\) 4.75636 + 5.96429i 0.222493 + 0.278998i 0.880532 0.473986i \(-0.157185\pi\)
−0.658039 + 0.752984i \(0.728614\pi\)
\(458\) −1.78993 + 23.8849i −0.0836379 + 1.11607i
\(459\) −37.2618 2.05920i −1.73923 0.0961152i
\(460\) 2.55600 + 4.42712i 0.119174 + 0.206415i
\(461\) −1.74092 + 23.2310i −0.0810829 + 1.08198i 0.797162 + 0.603765i \(0.206334\pi\)
−0.878245 + 0.478211i \(0.841285\pi\)
\(462\) −16.7888 41.2113i −0.781085 1.91732i
\(463\) 1.75957 + 23.4799i 0.0817744 + 1.09120i 0.875593 + 0.483049i \(0.160471\pi\)
−0.793819 + 0.608154i \(0.791910\pi\)
\(464\) 16.7044 11.3888i 0.775480 0.528714i
\(465\) −0.155467 + 1.07923i −0.00720960 + 0.0500483i
\(466\) 17.9901 16.6924i 0.833375 0.773259i
\(467\) −2.94414 39.2868i −0.136238 1.81797i −0.478189 0.878257i \(-0.658707\pi\)
0.341951 0.939718i \(-0.388912\pi\)
\(468\) 3.19396 + 7.83556i 0.147641 + 0.362199i
\(469\) −1.61213 + 1.75965i −0.0744412 + 0.0812532i
\(470\) −1.08013 + 14.4133i −0.0498226 + 0.664836i
\(471\) 0.928524 + 5.89870i 0.0427841 + 0.271798i
\(472\) −24.9045 −1.14632
\(473\) 20.5805 9.91103i 0.946291 0.455710i
\(474\) 4.04965 4.42206i 0.186007 0.203112i
\(475\) −0.0724561 0.0223498i −0.00332452 0.00102548i
\(476\) −21.3879 67.8122i −0.980314 3.10817i
\(477\) 36.2731 + 16.8881i 1.66083 + 0.773254i
\(478\) −32.2124 21.9621i −1.47336 1.00452i
\(479\) −24.8109 + 7.65316i −1.13364 + 0.349682i −0.804120 0.594467i \(-0.797363\pi\)
−0.329520 + 0.944149i \(0.606887\pi\)
\(480\) 2.67515 + 8.47568i 0.122103 + 0.386860i
\(481\) −8.31847 2.56591i −0.379289 0.116995i
\(482\) 39.7851 + 5.99664i 1.81216 + 0.273139i
\(483\) −1.73100 + 2.22879i −0.0787631 + 0.101413i
\(484\) −20.0635 + 3.02409i −0.911979 + 0.137459i
\(485\) 23.8206 + 3.59038i 1.08164 + 0.163031i
\(486\) −12.1698 35.3159i −0.552032 1.60196i
\(487\) −1.46916 3.74335i −0.0665739 0.169627i 0.893715 0.448635i \(-0.148090\pi\)
−0.960289 + 0.279008i \(0.909994\pi\)
\(488\) 7.85145 34.3995i 0.355418 1.55719i
\(489\) 10.8611 8.77806i 0.491154 0.396958i
\(490\) 8.73826 + 36.1696i 0.394754 + 1.63398i
\(491\) −15.9201 27.5743i −0.718462 1.24441i −0.961609 0.274423i \(-0.911513\pi\)
0.243147 0.969989i \(-0.421820\pi\)
\(492\) −9.64855 19.7052i −0.434990 0.888378i
\(493\) 57.0041 + 8.59198i 2.56733 + 0.386963i
\(494\) −1.43420 + 0.977824i −0.0645279 + 0.0439944i
\(495\) 9.52421 25.2315i 0.428082 1.13407i
\(496\) 0.445654 + 0.558832i 0.0200104 + 0.0250923i
\(497\) −0.357318 + 0.142852i −0.0160279 + 0.00640777i
\(498\) −2.67951 + 1.57044i −0.120072 + 0.0703730i
\(499\) 21.5192 + 6.63780i 0.963332 + 0.297149i 0.736237 0.676724i \(-0.236601\pi\)
0.227095 + 0.973873i \(0.427077\pi\)
\(500\) −26.2868 32.9626i −1.17558 1.47413i
\(501\) −8.91562 18.2083i −0.398321 0.813487i
\(502\) −34.3321 + 16.5335i −1.53232 + 0.737926i
\(503\) 4.93208 21.6088i 0.219910 0.963490i −0.737633 0.675202i \(-0.764057\pi\)
0.957544 0.288289i \(-0.0930863\pi\)
\(504\) 25.4990 21.1563i 1.13582 0.942377i
\(505\) −4.89121 21.4298i −0.217656 0.953613i
\(506\) 3.72846 + 4.67534i 0.165750 + 0.207844i
\(507\) −21.4615 + 1.74934i −0.953138 + 0.0776908i
\(508\) 60.1193 2.66736
\(509\) −1.55612 + 2.69528i −0.0689738 + 0.119466i −0.898450 0.439076i \(-0.855306\pi\)
0.829476 + 0.558542i \(0.188639\pi\)
\(510\) 28.3011 59.7631i 1.25319 2.64636i
\(511\) 15.5293 9.09731i 0.686978 0.402441i
\(512\) 24.1951 + 11.6517i 1.06928 + 0.514939i
\(513\) 4.27505 2.58117i 0.188748 0.113962i
\(514\) 6.19025 + 1.90944i 0.273040 + 0.0842218i
\(515\) −23.7457 + 22.0328i −1.04636 + 0.970879i
\(516\) 25.0238 + 26.6185i 1.10161 + 1.17181i
\(517\) 0.823431 + 10.9879i 0.0362145 + 0.483248i
\(518\) 0.463102 + 73.2206i 0.0203475 + 3.21713i
\(519\) 13.6666 + 19.7667i 0.599898 + 0.867660i
\(520\) −6.97975 −0.306082
\(521\) 5.35857 9.28132i 0.234763 0.406622i −0.724441 0.689337i \(-0.757902\pi\)
0.959204 + 0.282715i \(0.0912352\pi\)
\(522\) 13.5737 + 56.0832i 0.594104 + 2.45469i
\(523\) −4.04403 + 10.3040i −0.176833 + 0.450563i −0.991619 0.129199i \(-0.958759\pi\)
0.814786 + 0.579762i \(0.196855\pi\)
\(524\) −51.4862 15.8814i −2.24919 0.693782i
\(525\) 0.176735 0.315409i 0.00771334 0.0137656i
\(526\) 46.9544 14.4835i 2.04731 0.631511i
\(527\) −0.152308 + 2.03241i −0.00663465 + 0.0885333i
\(528\) −7.77456 15.8779i −0.338344 0.690998i
\(529\) −8.26430 + 21.0571i −0.359317 + 0.915525i
\(530\) −51.9715 + 48.2225i −2.25750 + 2.09465i
\(531\) 6.32078 16.7450i 0.274299 0.726670i
\(532\) 7.47652 + 5.88535i 0.324148 + 0.255162i
\(533\) −2.52302 + 0.380284i −0.109284 + 0.0164719i
\(534\) −0.374839 57.3931i −0.0162209 2.48364i
\(535\) −8.26487 3.98015i −0.357322 0.172077i
\(536\) −2.34763 + 2.94383i −0.101402 + 0.127154i
\(537\) 23.1155 34.3845i 0.997506 1.48380i
\(538\) −17.2678 + 29.9087i −0.744467 + 1.28946i
\(539\) 10.6968 + 26.2729i 0.460745 + 1.13166i
\(540\) 43.0684 + 2.38009i 1.85337 + 0.102423i
\(541\) 25.2431 7.78647i 1.08529 0.334766i 0.300025 0.953931i \(-0.403005\pi\)
0.785261 + 0.619165i \(0.212529\pi\)
\(542\) 29.5306 + 4.45103i 1.26845 + 0.191188i
\(543\) 4.58172 15.2054i 0.196620 0.652528i
\(544\) 6.06941 + 15.4646i 0.260224 + 0.663040i
\(545\) 2.98969 7.61761i 0.128064 0.326303i
\(546\) −3.12265 7.66514i −0.133637 0.328038i
\(547\) −10.7934 27.5010i −0.461491 1.17586i −0.952455 0.304680i \(-0.901451\pi\)
0.490964 0.871180i \(-0.336645\pi\)
\(548\) 40.6636 37.7303i 1.73706 1.61176i
\(549\) 21.1364 + 14.0097i 0.902078 + 0.597918i
\(550\) −0.561619 0.521106i −0.0239475 0.0222200i
\(551\) −6.95028 + 3.34708i −0.296092 + 0.142590i
\(552\) −2.48409 + 3.69511i −0.105730 + 0.157274i
\(553\) −2.58209 + 2.81837i −0.109801 + 0.119849i
\(554\) −7.06943 + 6.55947i −0.300351 + 0.278685i
\(555\) −29.9705 + 32.7266i −1.27218 + 1.38917i
\(556\) −13.1287 8.95098i −0.556780 0.379606i
\(557\) 0.0265873 0.0460506i 0.00112654 0.00195123i −0.865462 0.500975i \(-0.832975\pi\)
0.866588 + 0.499024i \(0.166308\pi\)
\(558\) −1.94138 + 0.626722i −0.0821853 + 0.0265313i
\(559\) 3.82788 1.84341i 0.161902 0.0779680i
\(560\) 4.44664 + 14.0985i 0.187905 + 0.595769i
\(561\) 14.5438 48.2669i 0.614041 2.03783i
\(562\) −0.110159 + 0.0751053i −0.00464679 + 0.00316812i
\(563\) −8.12383 35.5928i −0.342378 1.50006i −0.794038 0.607868i \(-0.792025\pi\)
0.451660 0.892190i \(-0.350832\pi\)
\(564\) −16.3625 + 6.54547i −0.688987 + 0.275614i
\(565\) 36.2921 + 17.4774i 1.52682 + 0.735278i
\(566\) 31.0387 + 14.9474i 1.30465 + 0.628288i
\(567\) 7.75315 + 22.5142i 0.325602 + 0.945507i
\(568\) −0.547019 + 0.263431i −0.0229524 + 0.0110533i
\(569\) 8.26955 0.346678 0.173339 0.984862i \(-0.444544\pi\)
0.173339 + 0.984862i \(0.444544\pi\)
\(570\) 1.37594 + 8.74104i 0.0576319 + 0.366122i
\(571\) −14.1785 + 6.82801i −0.593352 + 0.285743i −0.706362 0.707851i \(-0.749665\pi\)
0.113010 + 0.993594i \(0.463951\pi\)
\(572\) −11.3023 + 1.70354i −0.472571 + 0.0712286i
\(573\) −31.9391 + 12.7765i −1.33428 + 0.533747i
\(574\) 9.43393 + 19.2769i 0.393765 + 0.804603i
\(575\) −0.0108114 + 0.0473677i −0.000450865 + 0.00197537i
\(576\) −22.9840 + 21.8916i −0.957665 + 0.912148i
\(577\) −14.3189 13.2860i −0.596105 0.553105i 0.323360 0.946276i \(-0.395187\pi\)
−0.919465 + 0.393171i \(0.871378\pi\)
\(578\) 30.2738 77.1364i 1.25922 3.20845i
\(579\) 7.64562 3.05846i 0.317741 0.127105i
\(580\) −65.8871 9.93089i −2.73581 0.412358i
\(581\) 1.70830 1.00075i 0.0708722 0.0415179i
\(582\) 13.5658 + 42.9806i 0.562320 + 1.78160i
\(583\) −33.6986 + 42.2567i −1.39565 + 1.75009i
\(584\) 23.4620 15.9961i 0.970866 0.661925i
\(585\) 1.77146 4.69296i 0.0732411 0.194030i
\(586\) 8.14128 2.51125i 0.336313 0.103739i
\(587\) 3.21087 5.56140i 0.132527 0.229543i −0.792123 0.610361i \(-0.791024\pi\)
0.924650 + 0.380818i \(0.124358\pi\)
\(588\) −34.9224 + 28.9627i −1.44018 + 1.19440i
\(589\) −0.136366 0.236193i −0.00561887 0.00973217i
\(590\) 23.2481 + 21.5711i 0.957110 + 0.888068i
\(591\) −33.3794 18.9820i −1.37304 0.780815i
\(592\) 2.17390 + 29.0087i 0.0893469 + 1.19225i
\(593\) 39.1796 + 5.90537i 1.60891 + 0.242504i 0.891125 0.453758i \(-0.149917\pi\)
0.717787 + 0.696263i \(0.245155\pi\)
\(594\) 50.2335 4.75581i 2.06110 0.195133i
\(595\) −18.0488 + 38.0931i −0.739928 + 1.56167i
\(596\) 5.54719 + 14.1340i 0.227222 + 0.578951i
\(597\) 4.63550 32.1791i 0.189718 1.31700i
\(598\) 0.693479 + 0.869595i 0.0283584 + 0.0355604i
\(599\) 8.93175 39.1326i 0.364942 1.59891i −0.375520 0.926814i \(-0.622536\pi\)
0.740461 0.672099i \(-0.234607\pi\)
\(600\) 0.244142 0.515552i 0.00996705 0.0210473i
\(601\) −29.9690 27.8072i −1.22246 1.13428i −0.986714 0.162464i \(-0.948056\pi\)
−0.235747 0.971814i \(-0.575754\pi\)
\(602\) −24.4721 26.0424i −0.997410 1.06141i
\(603\) −1.38351 2.32561i −0.0563408 0.0947064i
\(604\) −11.5773 + 29.4985i −0.471073 + 1.20028i
\(605\) 9.93836 + 6.77586i 0.404052 + 0.275478i
\(606\) 31.9848 25.8506i 1.29929 1.05011i
\(607\) 20.8047 36.0348i 0.844436 1.46261i −0.0416748 0.999131i \(-0.513269\pi\)
0.886110 0.463474i \(-0.153397\pi\)
\(608\) −1.83680 1.25231i −0.0744922 0.0507879i
\(609\) −8.64535 35.7528i −0.350327 1.44878i
\(610\) −37.1244 + 25.3110i −1.50312 + 1.02481i
\(611\) 0.153155 + 2.04371i 0.00619598 + 0.0826796i
\(612\) 80.6188 1.05310i 3.25882 0.0425691i
\(613\) −5.48498 1.69189i −0.221536 0.0683348i 0.182000 0.983299i \(-0.441743\pi\)
−0.403536 + 0.914964i \(0.632219\pi\)
\(614\) −15.8333 7.62492i −0.638980 0.307717i
\(615\) −3.75257 + 12.4537i −0.151318 + 0.502183i
\(616\) 19.6737 + 40.2004i 0.792675 + 1.61972i
\(617\) −12.6778 8.64357i −0.510389 0.347977i 0.280583 0.959830i \(-0.409472\pi\)
−0.790972 + 0.611853i \(0.790425\pi\)
\(618\) −56.5594 21.7727i −2.27515 0.875828i
\(619\) 18.8045 + 32.5703i 0.755815 + 1.30911i 0.944968 + 0.327162i \(0.106092\pi\)
−0.189153 + 0.981948i \(0.560574\pi\)
\(620\) 0.176043 2.34913i 0.00707005 0.0943432i
\(621\) −1.85401 2.60804i −0.0743987 0.104657i
\(622\) 6.54556 + 28.6780i 0.262453 + 1.14988i
\(623\) 0.231398 + 36.5861i 0.00927076 + 1.46579i
\(624\) −1.44604 2.95323i −0.0578878 0.118224i
\(625\) −1.83831 + 24.5305i −0.0735323 + 0.981220i
\(626\) 13.1105 57.4407i 0.524000 2.29579i
\(627\) 2.03040 + 6.43293i 0.0810863 + 0.256906i
\(628\) −2.87071 12.5774i −0.114554 0.501893i
\(629\) −51.7171 + 64.8511i −2.06209 + 2.58578i
\(630\) −42.1277 2.33682i −1.67841 0.0931011i
\(631\) 8.89232 + 11.1506i 0.353998 + 0.443899i 0.926665 0.375889i \(-0.122663\pi\)
−0.572667 + 0.819788i \(0.694091\pi\)
\(632\) −3.76011 + 4.71503i −0.149569 + 0.187554i
\(633\) 14.1744 3.33275i 0.563380 0.132465i
\(634\) −6.79968 + 8.52653i −0.270050 + 0.338632i
\(635\) −26.1260 24.2414i −1.03678 0.961989i
\(636\) −80.6730 31.0553i −3.19889 1.23142i
\(637\) 1.98957 + 4.88666i 0.0788295 + 0.193616i
\(638\) −77.9450 −3.08587
\(639\) −0.0382883 0.434657i −0.00151466 0.0171948i
\(640\) −16.7983 42.8015i −0.664012 1.69188i
\(641\) −1.49323 19.9258i −0.0589791 0.787021i −0.945767 0.324845i \(-0.894688\pi\)
0.886788 0.462176i \(-0.152931\pi\)
\(642\) −0.112089 17.1625i −0.00442382 0.677348i
\(643\) 1.77971 4.53462i 0.0701849 0.178828i −0.891477 0.453066i \(-0.850330\pi\)
0.961662 + 0.274238i \(0.0884255\pi\)
\(644\) 3.40257 5.05911i 0.134080 0.199357i
\(645\) −0.141448 21.6577i −0.00556951 0.852770i
\(646\) 3.68045 + 16.1251i 0.144805 + 0.634434i
\(647\) 6.04606 0.911297i 0.237695 0.0358268i −0.0291143 0.999576i \(-0.509269\pi\)
0.266809 + 0.963749i \(0.414031\pi\)
\(648\) 14.6344 + 34.6017i 0.574893 + 1.35928i
\(649\) 19.9761 + 13.6195i 0.784130 + 0.534611i
\(650\) −0.104459 0.0969236i −0.00409721 0.00380166i
\(651\) 1.23764 0.399257i 0.0485071 0.0156481i
\(652\) −22.1166 + 20.5212i −0.866152 + 0.803672i
\(653\) 1.81078 0.272931i 0.0708613 0.0106806i −0.113516 0.993536i \(-0.536211\pi\)
0.184377 + 0.982856i \(0.440973\pi\)
\(654\) 15.2599 1.24385i 0.596710 0.0486382i
\(655\) 15.9706 + 27.6619i 0.624023 + 1.08084i
\(656\) 4.26318 + 7.38405i 0.166449 + 0.288299i
\(657\) 4.80061 + 19.8349i 0.187289 + 0.773835i
\(658\) 16.0066 6.39927i 0.624004 0.249469i
\(659\) 26.4309 18.0203i 1.02960 0.701970i 0.0741888 0.997244i \(-0.476363\pi\)
0.955413 + 0.295274i \(0.0954109\pi\)
\(660\) −16.8102 + 55.7884i −0.654337 + 2.17156i
\(661\) 2.89394 + 12.6792i 0.112561 + 0.493164i 0.999510 + 0.0312959i \(0.00996342\pi\)
−0.886949 + 0.461868i \(0.847179\pi\)
\(662\) 4.45792 + 19.5314i 0.173262 + 0.759111i
\(663\) 2.70509 8.97745i 0.105057 0.348655i
\(664\) 2.58093 1.75965i 0.100160 0.0682876i
\(665\) −0.875964 5.57227i −0.0339684 0.216084i
\(666\) −79.6503 23.4340i −3.08639 0.908049i
\(667\) 2.47150 + 4.28077i 0.0956970 + 0.165752i
\(668\) 21.9005 + 37.9328i 0.847356 + 1.46766i
\(669\) 32.2413 2.62801i 1.24652 0.101605i
\(670\) 4.74129 0.714635i 0.183172 0.0276088i
\(671\) −25.1096 + 23.2983i −0.969347 + 0.899422i
\(672\) 7.67716 7.30926i 0.296153 0.281961i
\(673\) −31.6469 29.3640i −1.21990 1.13190i −0.987223 0.159346i \(-0.949061\pi\)
−0.232676 0.972554i \(-0.574748\pi\)
\(674\) −66.0074 45.0031i −2.54251 1.73345i
\(675\) 0.284677 + 0.295000i 0.0109572 + 0.0113546i
\(676\) 46.0009 6.93352i 1.76927 0.266674i
\(677\) −0.378829 1.65976i −0.0145596 0.0637896i 0.967126 0.254297i \(-0.0818440\pi\)
−0.981686 + 0.190507i \(0.938987\pi\)
\(678\) 0.492199 + 75.3625i 0.0189028 + 2.89428i
\(679\) −8.64204 27.4003i −0.331651 1.05153i
\(680\) −24.2976 + 61.9093i −0.931770 + 2.37411i
\(681\) −0.0204941 3.13793i −0.000785335 0.120246i
\(682\) −0.205934 2.74800i −0.00788562 0.105226i
\(683\) −2.16076 5.50552i −0.0826791 0.210663i 0.883556 0.468326i \(-0.155143\pi\)
−0.966235 + 0.257663i \(0.917047\pi\)
\(684\) −8.83416 + 6.19359i −0.337783 + 0.236818i
\(685\) −32.8847 −1.25646
\(686\) 34.1659 28.3233i 1.30446 1.08139i
\(687\) 16.1570 + 6.21970i 0.616429 + 0.237296i
\(688\) −10.4076 9.65680i −0.396784 0.368162i
\(689\) −6.26780 + 7.85958i −0.238784 + 0.299426i
\(690\) 5.51940 1.29775i 0.210120 0.0494044i
\(691\) −14.3788 + 18.0305i −0.546997 + 0.685912i −0.976095 0.217346i \(-0.930260\pi\)
0.429098 + 0.903258i \(0.358831\pi\)
\(692\) −32.3706 40.5915i −1.23055 1.54306i
\(693\) −32.0226 + 3.02505i −1.21644 + 0.114912i
\(694\) 13.1474 16.4863i 0.499067 0.625811i
\(695\) 2.09609 + 9.18356i 0.0795092 + 0.348352i
\(696\) −17.4679 55.3437i −0.662120 2.09780i
\(697\) −5.40997 + 23.7026i −0.204917 + 0.897801i
\(698\) −4.63773 + 61.8862i −0.175541 + 2.34243i
\(699\) −7.80083 15.9316i −0.295054 0.602587i
\(700\) −0.334455 + 0.705890i −0.0126412 + 0.0266801i
\(701\) 0.0518237 + 0.227055i 0.00195736 + 0.00857573i 0.975897 0.218231i \(-0.0700286\pi\)
−0.973940 + 0.226807i \(0.927171\pi\)
\(702\) 9.34322 0.884561i 0.352637 0.0333856i
\(703\) 0.829485 11.0687i 0.0312846 0.417464i
\(704\) −21.4382 37.1320i −0.807982 1.39947i
\(705\) 9.74992 + 3.75326i 0.367203 + 0.141356i
\(706\) 46.1530 + 31.4666i 1.73699 + 1.18426i
\(707\) −20.3925 + 16.4746i −0.766941 + 0.619591i
\(708\) −11.1562 + 37.0242i −0.419275 + 1.39145i
\(709\) −20.4189 9.83323i −0.766848 0.369295i 0.00920872 0.999958i \(-0.497069\pi\)
−0.776057 + 0.630663i \(0.782783\pi\)
\(710\) 0.738808 + 0.227892i 0.0277270 + 0.00855263i
\(711\) −2.21591 3.72485i −0.0831032 0.139693i
\(712\) 4.31380 + 57.5637i 0.161667 + 2.15729i
\(713\) −0.144391 + 0.0984443i −0.00540749 + 0.00368677i
\(714\) −78.8589 + 1.01384i −2.95122 + 0.0379420i
\(715\) 5.59851 + 3.81700i 0.209372 + 0.142748i
\(716\) −44.7563 + 77.5202i −1.67262 + 2.89706i
\(717\) −21.9170 + 17.7137i −0.818507 + 0.661529i
\(718\) −53.9183 36.7609i −2.01221 1.37190i
\(719\) −5.19826 + 13.2450i −0.193862 + 0.493953i −0.994444 0.105271i \(-0.966429\pi\)
0.800581 + 0.599224i \(0.204524\pi\)
\(720\) −16.7610 + 0.218944i −0.624646 + 0.00815957i
\(721\) 36.0517 + 13.8868i 1.34264 + 0.517170i
\(722\) 31.7525 + 29.4620i 1.18171 + 1.09646i
\(723\) 12.4469 26.2839i 0.462904 0.977510i
\(724\) −7.63464 + 33.4495i −0.283739 + 1.24314i
\(725\) −0.394846 0.495121i −0.0146642 0.0183883i
\(726\) −3.20873 + 22.2747i −0.119087 + 0.826691i
\(727\) 11.6064 + 29.5726i 0.430457 + 1.09679i 0.967419 + 0.253180i \(0.0814766\pi\)
−0.536962 + 0.843606i \(0.680428\pi\)
\(728\) 3.65922 + 7.47711i 0.135620 + 0.277120i
\(729\) −26.9793 + 1.05775i −0.999232 + 0.0391759i
\(730\) −35.7567 5.38945i −1.32341 0.199472i
\(731\) −3.02531 40.3699i −0.111895 1.49313i
\(732\) −47.6227 27.0818i −1.76019 1.00097i
\(733\) −16.7268 15.5202i −0.617819 0.573252i 0.307922 0.951412i \(-0.400367\pi\)
−0.925740 + 0.378160i \(0.876557\pi\)
\(734\) −16.2750 28.1890i −0.600719 1.04048i
\(735\) 26.8545 + 1.49518i 0.990545 + 0.0551505i
\(736\) −0.712239 + 1.23363i −0.0262535 + 0.0454723i
\(737\) 3.49294 1.07743i 0.128664 0.0396876i
\(738\) −24.0139 + 3.94096i −0.883964 + 0.145069i
\(739\) 2.87917 1.96298i 0.105912 0.0722095i −0.509206 0.860645i \(-0.670061\pi\)
0.615118 + 0.788435i \(0.289108\pi\)
\(740\) 59.7762 74.9570i 2.19742 2.75547i
\(741\) 0.377646 + 1.19650i 0.0138732 + 0.0439544i
\(742\) 78.9055 + 30.3936i 2.89671 + 1.11579i
\(743\) −14.3058 2.15625i −0.524829 0.0791052i −0.118716 0.992928i \(-0.537878\pi\)
−0.406113 + 0.913823i \(0.633116\pi\)
\(744\) 1.90502 0.762062i 0.0698416 0.0279386i
\(745\) 3.28849 8.37894i 0.120481 0.306980i
\(746\) 22.5643 + 20.9366i 0.826136 + 0.766542i
\(747\) 0.528088 + 2.18193i 0.0193217 + 0.0798328i
\(748\) −24.2348 + 106.179i −0.886111 + 3.88231i
\(749\) 0.0691957 + 10.9405i 0.00252835 + 0.399756i
\(750\) −43.4171 + 17.3680i −1.58537 + 0.634191i
\(751\) 31.1939 4.70172i 1.13828 0.171568i 0.447261 0.894404i \(-0.352400\pi\)
0.691020 + 0.722835i \(0.257162\pi\)
\(752\) 6.17035 2.97149i 0.225010 0.108359i
\(753\) 4.28293 + 27.2085i 0.156079 + 0.991531i
\(754\) −14.4975 −0.527966
\(755\) 16.9255 8.15090i 0.615983 0.296642i
\(756\) −20.0295 47.3851i −0.728465 1.72338i
\(757\) 4.28232 + 2.06226i 0.155644 + 0.0749540i 0.510084 0.860125i \(-0.329614\pi\)
−0.354440 + 0.935079i \(0.615329\pi\)
\(758\) 22.2322 + 10.7064i 0.807508 + 0.388875i
\(759\) 4.01324 1.60541i 0.145671 0.0582725i
\(760\) −1.98036 8.67653i −0.0718353 0.314731i
\(761\) 24.3014 16.5684i 0.880924 0.600604i −0.0361389 0.999347i \(-0.511506\pi\)
0.917063 + 0.398743i \(0.130554\pi\)
\(762\) 19.2379 63.8452i 0.696916 2.31287i
\(763\) −9.72781 + 0.790900i −0.352171 + 0.0286325i
\(764\) 66.9596 32.2460i 2.42251 1.16662i
\(765\) −35.4590 32.0495i −1.28202 1.15875i
\(766\) 42.2848 73.2394i 1.52781 2.64625i
\(767\) 3.71547 + 2.53317i 0.134158 + 0.0914673i
\(768\) 33.3461 36.4126i 1.20327 1.31393i
\(769\) 2.18710 2.02933i 0.0788689 0.0731796i −0.639753 0.768580i \(-0.720964\pi\)
0.718622 + 0.695401i \(0.244773\pi\)
\(770\) 16.4545 54.5671i 0.592979 1.96646i
\(771\) 2.61239