Properties

Label 225.2.q.a.16.19
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.19
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.825259 - 0.367429i) q^{2} +(-0.453689 + 1.67158i) q^{3} +(-0.792213 + 0.879842i) q^{4} +(-1.78097 - 1.35209i) q^{5} +(0.239774 + 1.54618i) q^{6} +(-1.53265 + 2.65463i) q^{7} +(-0.888808 + 2.73547i) q^{8} +(-2.58833 - 1.51675i) q^{9} +O(q^{10})\) \(q+(0.825259 - 0.367429i) q^{2} +(-0.453689 + 1.67158i) q^{3} +(-0.792213 + 0.879842i) q^{4} +(-1.78097 - 1.35209i) q^{5} +(0.239774 + 1.54618i) q^{6} +(-1.53265 + 2.65463i) q^{7} +(-0.888808 + 2.73547i) q^{8} +(-2.58833 - 1.51675i) q^{9} +(-1.96656 - 0.461443i) q^{10} +(-1.20016 + 0.534345i) q^{11} +(-1.11130 - 1.72342i) q^{12} +(4.56466 + 2.03232i) q^{13} +(-0.289446 + 2.75390i) q^{14} +(3.06813 - 2.36360i) q^{15} +(0.0240823 + 0.229128i) q^{16} +(1.36059 - 4.18745i) q^{17} +(-2.69334 - 0.300684i) q^{18} +(-1.05356 + 3.24253i) q^{19} +(2.60053 - 0.495830i) q^{20} +(-3.74207 - 3.76632i) q^{21} +(-0.794108 + 0.881946i) q^{22} +(-0.595839 + 5.66903i) q^{23} +(-4.16930 - 2.72676i) q^{24} +(1.34371 + 4.81606i) q^{25} +4.51376 q^{26} +(3.70966 - 3.63846i) q^{27} +(-1.12147 - 3.45152i) q^{28} +(6.43584 + 1.36798i) q^{29} +(1.66354 - 3.07790i) q^{30} +(-5.33344 + 1.13366i) q^{31} +(-2.77218 - 4.80156i) q^{32} +(-0.348700 - 2.24858i) q^{33} +(-0.415756 - 3.95565i) q^{34} +(6.31890 - 2.65554i) q^{35} +(3.38501 - 1.07573i) q^{36} +(5.90992 - 4.29381i) q^{37} +(0.321938 + 3.06303i) q^{38} +(-5.46811 + 6.70813i) q^{39} +(5.28154 - 3.67004i) q^{40} +(1.45477 + 0.647706i) q^{41} +(-4.47203 - 1.73324i) q^{42} +(-2.24167 + 3.88268i) q^{43} +(0.480642 - 1.47926i) q^{44} +(2.55896 + 6.20095i) q^{45} +(1.59124 + 4.89734i) q^{46} +(6.49659 + 1.38089i) q^{47} +(-0.393930 - 0.0636974i) q^{48} +(-1.19804 - 2.07507i) q^{49} +(2.87847 + 3.48078i) q^{50} +(6.38236 + 4.17412i) q^{51} +(-5.40430 + 2.40615i) q^{52} +(-2.18021 - 6.70999i) q^{53} +(1.72456 - 4.36571i) q^{54} +(2.85993 + 0.671068i) q^{55} +(-5.89943 - 6.55198i) q^{56} +(-4.94214 - 3.23221i) q^{57} +(5.81387 - 1.23578i) q^{58} +(-3.22129 - 1.43421i) q^{59} +(-0.351016 + 4.57194i) q^{60} +(-11.2015 + 4.98723i) q^{61} +(-3.98493 + 2.89522i) q^{62} +(7.99343 - 4.54641i) q^{63} +(-4.42478 - 3.21479i) q^{64} +(-5.38165 - 9.79132i) q^{65} +(-1.11396 - 1.72754i) q^{66} +(-5.39308 + 1.14633i) q^{67} +(2.60642 + 4.51446i) q^{68} +(-9.20588 - 3.56797i) q^{69} +(4.23901 - 4.51325i) q^{70} +(-2.00148 - 6.15992i) q^{71} +(6.44956 - 5.73220i) q^{72} +(5.08449 + 3.69410i) q^{73} +(3.29954 - 5.71498i) q^{74} +(-8.66004 + 0.0611220i) q^{75} +(-2.01827 - 3.49574i) q^{76} +(0.420936 - 4.00494i) q^{77} +(-2.04784 + 7.54509i) q^{78} +(-2.76067 - 0.586798i) q^{79} +(0.266911 - 0.440631i) q^{80} +(4.39893 + 7.85171i) q^{81} +1.43855 q^{82} +(8.07261 + 8.96554i) q^{83} +(6.27828 - 0.308700i) q^{84} +(-8.08497 + 5.61810i) q^{85} +(-0.423346 + 4.02787i) q^{86} +(-5.20655 + 10.1374i) q^{87} +(-0.394974 - 3.75793i) q^{88} +(5.99213 + 4.35354i) q^{89} +(4.39021 + 4.17715i) q^{90} +(-12.3911 + 9.00265i) q^{91} +(-4.51581 - 5.01532i) q^{92} +(0.524729 - 9.42958i) q^{93} +(5.86875 - 1.24744i) q^{94} +(6.26055 - 4.35034i) q^{95} +(9.28387 - 2.45550i) q^{96} +(16.6509 + 3.53925i) q^{97} +(-1.75113 - 1.27227i) q^{98} +(3.91688 + 0.437280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.825259 0.367429i 0.583546 0.259811i −0.0936607 0.995604i \(-0.529857\pi\)
0.677207 + 0.735793i \(0.263190\pi\)
\(3\) −0.453689 + 1.67158i −0.261938 + 0.965085i
\(4\) −0.792213 + 0.879842i −0.396106 + 0.439921i
\(5\) −1.78097 1.35209i −0.796474 0.604673i
\(6\) 0.239774 + 1.54618i 0.0978875 + 0.631226i
\(7\) −1.53265 + 2.65463i −0.579288 + 1.00336i 0.416273 + 0.909239i \(0.363336\pi\)
−0.995561 + 0.0941164i \(0.969997\pi\)
\(8\) −0.888808 + 2.73547i −0.314241 + 0.967134i
\(9\) −2.58833 1.51675i −0.862777 0.505584i
\(10\) −1.96656 0.461443i −0.621880 0.145921i
\(11\) −1.20016 + 0.534345i −0.361861 + 0.161111i −0.579610 0.814894i \(-0.696795\pi\)
0.217749 + 0.976005i \(0.430129\pi\)
\(12\) −1.11130 1.72342i −0.320806 0.497508i
\(13\) 4.56466 + 2.03232i 1.26601 + 0.563663i 0.926271 0.376857i \(-0.122995\pi\)
0.339737 + 0.940520i \(0.389662\pi\)
\(14\) −0.289446 + 2.75390i −0.0773578 + 0.736010i
\(15\) 3.06813 2.36360i 0.792187 0.610279i
\(16\) 0.0240823 + 0.229128i 0.00602058 + 0.0572820i
\(17\) 1.36059 4.18745i 0.329991 1.01561i −0.639147 0.769085i \(-0.720712\pi\)
0.969137 0.246522i \(-0.0792877\pi\)
\(18\) −2.69334 0.300684i −0.634827 0.0708720i
\(19\) −1.05356 + 3.24253i −0.241703 + 0.743887i 0.754458 + 0.656349i \(0.227900\pi\)
−0.996161 + 0.0875381i \(0.972100\pi\)
\(20\) 2.60053 0.495830i 0.581497 0.110871i
\(21\) −3.74207 3.76632i −0.816586 0.821878i
\(22\) −0.794108 + 0.881946i −0.169304 + 0.188032i
\(23\) −0.595839 + 5.66903i −0.124241 + 1.18207i 0.737723 + 0.675104i \(0.235901\pi\)
−0.861964 + 0.506970i \(0.830766\pi\)
\(24\) −4.16930 2.72676i −0.851055 0.556598i
\(25\) 1.34371 + 4.81606i 0.268742 + 0.963212i
\(26\) 4.51376 0.885221
\(27\) 3.70966 3.63846i 0.713925 0.700222i
\(28\) −1.12147 3.45152i −0.211937 0.652277i
\(29\) 6.43584 + 1.36798i 1.19511 + 0.254027i 0.762158 0.647392i \(-0.224140\pi\)
0.432948 + 0.901419i \(0.357473\pi\)
\(30\) 1.66354 3.07790i 0.303720 0.561945i
\(31\) −5.33344 + 1.13366i −0.957915 + 0.203611i −0.660239 0.751056i \(-0.729545\pi\)
−0.297676 + 0.954667i \(0.596212\pi\)
\(32\) −2.77218 4.80156i −0.490057 0.848803i
\(33\) −0.348700 2.24858i −0.0607008 0.391428i
\(34\) −0.415756 3.95565i −0.0713015 0.678389i
\(35\) 6.31890 2.65554i 1.06809 0.448868i
\(36\) 3.38501 1.07573i 0.564169 0.179289i
\(37\) 5.90992 4.29381i 0.971584 0.705897i 0.0157722 0.999876i \(-0.494979\pi\)
0.955812 + 0.293978i \(0.0949793\pi\)
\(38\) 0.321938 + 3.06303i 0.0522252 + 0.496890i
\(39\) −5.46811 + 6.70813i −0.875598 + 1.07416i
\(40\) 5.28154 3.67004i 0.835084 0.580285i
\(41\) 1.45477 + 0.647706i 0.227197 + 0.101155i 0.517178 0.855878i \(-0.326982\pi\)
−0.289981 + 0.957032i \(0.593649\pi\)
\(42\) −4.47203 1.73324i −0.690049 0.267445i
\(43\) −2.24167 + 3.88268i −0.341851 + 0.592103i −0.984776 0.173826i \(-0.944387\pi\)
0.642926 + 0.765929i \(0.277720\pi\)
\(44\) 0.480642 1.47926i 0.0724595 0.223008i
\(45\) 2.55896 + 6.20095i 0.381467 + 0.924382i
\(46\) 1.59124 + 4.89734i 0.234616 + 0.722074i
\(47\) 6.49659 + 1.38089i 0.947624 + 0.201424i 0.655703 0.755019i \(-0.272372\pi\)
0.291921 + 0.956442i \(0.405706\pi\)
\(48\) −0.393930 0.0636974i −0.0568590 0.00919393i
\(49\) −1.19804 2.07507i −0.171149 0.296438i
\(50\) 2.87847 + 3.48078i 0.407077 + 0.492256i
\(51\) 6.38236 + 4.17412i 0.893710 + 0.584494i
\(52\) −5.40430 + 2.40615i −0.749441 + 0.333673i
\(53\) −2.18021 6.70999i −0.299475 0.921688i −0.981682 0.190529i \(-0.938980\pi\)
0.682207 0.731159i \(-0.261020\pi\)
\(54\) 1.72456 4.36571i 0.234683 0.594098i
\(55\) 2.85993 + 0.671068i 0.385633 + 0.0904868i
\(56\) −5.89943 6.55198i −0.788344 0.875545i
\(57\) −4.94214 3.23221i −0.654603 0.428116i
\(58\) 5.81387 1.23578i 0.763398 0.162265i
\(59\) −3.22129 1.43421i −0.419377 0.186719i 0.186189 0.982514i \(-0.440386\pi\)
−0.605566 + 0.795795i \(0.707053\pi\)
\(60\) −0.351016 + 4.57194i −0.0453160 + 0.590235i
\(61\) −11.2015 + 4.98723i −1.43420 + 0.638549i −0.969091 0.246702i \(-0.920653\pi\)
−0.465113 + 0.885251i \(0.653986\pi\)
\(62\) −3.98493 + 2.89522i −0.506087 + 0.367694i
\(63\) 7.99343 4.54641i 1.00708 0.572794i
\(64\) −4.42478 3.21479i −0.553097 0.401848i
\(65\) −5.38165 9.79132i −0.667511 1.21446i
\(66\) −1.11396 1.72754i −0.137119 0.212646i
\(67\) −5.39308 + 1.14633i −0.658869 + 0.140047i −0.525200 0.850979i \(-0.676009\pi\)
−0.133669 + 0.991026i \(0.542676\pi\)
\(68\) 2.60642 + 4.51446i 0.316075 + 0.547458i
\(69\) −9.20588 3.56797i −1.10826 0.429533i
\(70\) 4.23901 4.51325i 0.506659 0.539437i
\(71\) −2.00148 6.15992i −0.237532 0.731048i −0.996775 0.0802415i \(-0.974431\pi\)
0.759244 0.650807i \(-0.225569\pi\)
\(72\) 6.44956 5.73220i 0.760087 0.675547i
\(73\) 5.08449 + 3.69410i 0.595094 + 0.432361i 0.844134 0.536132i \(-0.180115\pi\)
−0.249040 + 0.968493i \(0.580115\pi\)
\(74\) 3.29954 5.71498i 0.383564 0.664352i
\(75\) −8.66004 + 0.0611220i −0.999975 + 0.00705776i
\(76\) −2.01827 3.49574i −0.231511 0.400989i
\(77\) 0.420936 4.00494i 0.0479702 0.456406i
\(78\) −2.04784 + 7.54509i −0.231872 + 0.854313i
\(79\) −2.76067 0.586798i −0.310599 0.0660199i 0.0499748 0.998750i \(-0.484086\pi\)
−0.360574 + 0.932731i \(0.617419\pi\)
\(80\) 0.266911 0.440631i 0.0298416 0.0492641i
\(81\) 4.39893 + 7.85171i 0.488770 + 0.872413i
\(82\) 1.43855 0.158861
\(83\) 8.07261 + 8.96554i 0.886084 + 0.984096i 0.999956 0.00939965i \(-0.00299205\pi\)
−0.113872 + 0.993495i \(0.536325\pi\)
\(84\) 6.27828 0.308700i 0.685017 0.0336820i
\(85\) −8.08497 + 5.61810i −0.876938 + 0.609368i
\(86\) −0.423346 + 4.02787i −0.0456506 + 0.434336i
\(87\) −5.20655 + 10.1374i −0.558201 + 1.08684i
\(88\) −0.394974 3.75793i −0.0421044 0.400596i
\(89\) 5.99213 + 4.35354i 0.635164 + 0.461474i 0.858185 0.513340i \(-0.171592\pi\)
−0.223021 + 0.974814i \(0.571592\pi\)
\(90\) 4.39021 + 4.17715i 0.462769 + 0.440310i
\(91\) −12.3911 + 9.00265i −1.29894 + 0.943734i
\(92\) −4.51581 5.01532i −0.470806 0.522883i
\(93\) 0.524729 9.42958i 0.0544118 0.977802i
\(94\) 5.86875 1.24744i 0.605315 0.128664i
\(95\) 6.26055 4.35034i 0.642318 0.446335i
\(96\) 9.28387 2.45550i 0.947531 0.250613i
\(97\) 16.6509 + 3.53925i 1.69064 + 0.359357i 0.949929 0.312466i \(-0.101155\pi\)
0.740712 + 0.671823i \(0.234488\pi\)
\(98\) −1.75113 1.27227i −0.176891 0.128519i
\(99\) 3.91688 + 0.437280i 0.393661 + 0.0439483i
\(100\) −5.30188 2.63309i −0.530188 0.263309i
\(101\) −6.32691 + 10.9585i −0.629551 + 1.09042i 0.358090 + 0.933687i \(0.383428\pi\)
−0.987642 + 0.156728i \(0.949905\pi\)
\(102\) 6.80080 + 1.09967i 0.673379 + 0.108883i
\(103\) 12.4211 13.7950i 1.22389 1.35926i 0.311334 0.950300i \(-0.399224\pi\)
0.912551 0.408962i \(-0.134109\pi\)
\(104\) −9.61644 + 10.6801i −0.942970 + 1.04727i
\(105\) 1.57211 + 11.7673i 0.153423 + 1.14837i
\(106\) −4.26468 4.73641i −0.414222 0.460041i
\(107\) −12.3221 −1.19122 −0.595611 0.803273i \(-0.703090\pi\)
−0.595611 + 0.803273i \(0.703090\pi\)
\(108\) 0.262426 + 6.14635i 0.0252519 + 0.591433i
\(109\) −0.372310 + 0.270499i −0.0356608 + 0.0259091i −0.605473 0.795866i \(-0.707016\pi\)
0.569812 + 0.821775i \(0.307016\pi\)
\(110\) 2.60675 0.497016i 0.248544 0.0473886i
\(111\) 4.49616 + 11.8269i 0.426756 + 1.12256i
\(112\) −0.645159 0.287244i −0.0609618 0.0271420i
\(113\) −10.8046 4.81051i −1.01641 0.452535i −0.170214 0.985407i \(-0.554446\pi\)
−0.846196 + 0.532872i \(0.821113\pi\)
\(114\) −5.26615 0.851521i −0.493220 0.0797523i
\(115\) 8.72620 9.29074i 0.813722 0.866366i
\(116\) −6.30216 + 4.57879i −0.585141 + 0.425130i
\(117\) −8.73233 12.1838i −0.807305 1.12639i
\(118\) −3.18537 −0.293237
\(119\) 9.03084 + 10.0298i 0.827855 + 0.919427i
\(120\) 3.73858 + 10.4935i 0.341284 + 0.957926i
\(121\) −6.20558 + 6.89200i −0.564144 + 0.626545i
\(122\) −7.41168 + 8.23151i −0.671022 + 0.745246i
\(123\) −1.74270 + 2.13791i −0.157134 + 0.192768i
\(124\) 3.22778 5.59068i 0.289863 0.502058i
\(125\) 4.11863 10.3941i 0.368382 0.929675i
\(126\) 4.92616 6.68898i 0.438857 0.595902i
\(127\) 14.1647 + 10.2913i 1.25691 + 0.913201i 0.998602 0.0528609i \(-0.0168340\pi\)
0.258311 + 0.966062i \(0.416834\pi\)
\(128\) 6.01361 + 1.27823i 0.531533 + 0.112981i
\(129\) −5.47317 5.50864i −0.481886 0.485009i
\(130\) −8.03887 6.10300i −0.705055 0.535269i
\(131\) 5.13306 1.09107i 0.448478 0.0953269i 0.0218643 0.999761i \(-0.493040\pi\)
0.426613 + 0.904434i \(0.359707\pi\)
\(132\) 2.25464 + 1.47456i 0.196241 + 0.128344i
\(133\) −6.99297 7.76648i −0.606367 0.673439i
\(134\) −4.02949 + 2.92759i −0.348095 + 0.252906i
\(135\) −11.5263 + 1.46420i −0.992028 + 0.126018i
\(136\) 10.2453 + 7.44368i 0.878531 + 0.638290i
\(137\) 0.190067 + 1.80837i 0.0162385 + 0.154499i 0.999636 0.0269631i \(-0.00858365\pi\)
−0.983398 + 0.181462i \(0.941917\pi\)
\(138\) −8.90821 + 0.438013i −0.758317 + 0.0372861i
\(139\) 1.07343 10.2130i 0.0910470 0.866254i −0.849728 0.527222i \(-0.823234\pi\)
0.940775 0.339032i \(-0.110100\pi\)
\(140\) −2.66946 + 7.66338i −0.225611 + 0.647674i
\(141\) −5.25570 + 10.2330i −0.442609 + 0.861778i
\(142\) −3.91507 4.34813i −0.328546 0.364887i
\(143\) −6.56427 −0.548932
\(144\) 0.285197 0.629586i 0.0237664 0.0524655i
\(145\) −9.61241 11.1382i −0.798267 0.924974i
\(146\) 5.55334 + 1.18040i 0.459598 + 0.0976905i
\(147\) 4.01217 1.06118i 0.330918 0.0875247i
\(148\) −0.904043 + 8.60140i −0.0743119 + 0.707031i
\(149\) −3.40851 5.90371i −0.279236 0.483651i 0.691959 0.721937i \(-0.256748\pi\)
−0.971195 + 0.238286i \(0.923415\pi\)
\(150\) −7.12432 + 3.23239i −0.581698 + 0.263924i
\(151\) 9.80375 16.9806i 0.797818 1.38186i −0.123216 0.992380i \(-0.539321\pi\)
0.921034 0.389482i \(-0.127346\pi\)
\(152\) −7.93342 5.76397i −0.643485 0.467519i
\(153\) −9.87298 + 8.77485i −0.798183 + 0.709405i
\(154\) −1.12415 3.45978i −0.0905866 0.278797i
\(155\) 11.0315 + 5.19228i 0.886072 + 0.417054i
\(156\) −1.57019 10.1253i −0.125716 0.810676i
\(157\) 7.62958 + 13.2148i 0.608907 + 1.05466i 0.991421 + 0.130708i \(0.0417251\pi\)
−0.382514 + 0.923950i \(0.624942\pi\)
\(158\) −2.49387 + 0.530089i −0.198402 + 0.0421716i
\(159\) 12.2054 0.600134i 0.967951 0.0475937i
\(160\) −1.55496 + 12.2997i −0.122930 + 0.972374i
\(161\) −14.1360 10.2704i −1.11407 0.809419i
\(162\) 6.51520 + 4.86340i 0.511883 + 0.382105i
\(163\) −0.570284 + 0.414336i −0.0446681 + 0.0324533i −0.609895 0.792482i \(-0.708789\pi\)
0.565227 + 0.824935i \(0.308789\pi\)
\(164\) −1.72237 + 0.766848i −0.134494 + 0.0598808i
\(165\) −2.41926 + 4.47613i −0.188339 + 0.348466i
\(166\) 9.95619 + 4.43278i 0.772750 + 0.344051i
\(167\) 4.41742 0.938953i 0.341831 0.0726583i −0.0337978 0.999429i \(-0.510760\pi\)
0.375628 + 0.926770i \(0.377427\pi\)
\(168\) 13.6286 6.88878i 1.05147 0.531481i
\(169\) 8.00710 + 8.89278i 0.615930 + 0.684060i
\(170\) −4.60794 + 7.60704i −0.353413 + 0.583433i
\(171\) 7.64507 6.79475i 0.584633 0.519607i
\(172\) −1.64027 5.04822i −0.125069 0.384923i
\(173\) −3.97911 + 1.77162i −0.302527 + 0.134693i −0.552386 0.833589i \(-0.686282\pi\)
0.249859 + 0.968282i \(0.419616\pi\)
\(174\) −0.571995 + 10.2790i −0.0433629 + 0.779248i
\(175\) −14.8443 3.81428i −1.12212 0.288333i
\(176\) −0.151336 0.262122i −0.0114074 0.0197582i
\(177\) 3.85886 4.73395i 0.290050 0.355826i
\(178\) 6.54467 + 1.39111i 0.490544 + 0.104268i
\(179\) −0.115016 0.353983i −0.00859671 0.0264579i 0.946666 0.322216i \(-0.104428\pi\)
−0.955263 + 0.295758i \(0.904428\pi\)
\(180\) −7.48309 2.66099i −0.557757 0.198338i
\(181\) 1.51210 4.65376i 0.112393 0.345912i −0.879001 0.476820i \(-0.841789\pi\)
0.991394 + 0.130908i \(0.0417894\pi\)
\(182\) −6.91802 + 11.9824i −0.512797 + 0.888191i
\(183\) −3.25453 20.9868i −0.240582 1.55139i
\(184\) −14.9779 6.66857i −1.10418 0.491614i
\(185\) −16.3310 0.343591i −1.20068 0.0252613i
\(186\) −3.03166 7.97465i −0.222292 0.584730i
\(187\) 0.604626 + 5.75263i 0.0442146 + 0.420674i
\(188\) −6.36165 + 4.62201i −0.463971 + 0.337094i
\(189\) 3.97315 + 15.4243i 0.289004 + 1.12195i
\(190\) 3.56813 5.89046i 0.258859 0.427339i
\(191\) −0.438688 4.17383i −0.0317423 0.302008i −0.998862 0.0476875i \(-0.984815\pi\)
0.967120 0.254321i \(-0.0818518\pi\)
\(192\) 7.38123 5.93783i 0.532695 0.428526i
\(193\) 1.47540 + 2.55547i 0.106202 + 0.183946i 0.914228 0.405199i \(-0.132798\pi\)
−0.808027 + 0.589146i \(0.799464\pi\)
\(194\) 15.0417 3.19722i 1.07993 0.229547i
\(195\) 18.8085 4.55362i 1.34691 0.326092i
\(196\) 2.77483 + 0.589809i 0.198202 + 0.0421292i
\(197\) −2.11764 6.51743i −0.150876 0.464348i 0.846844 0.531842i \(-0.178500\pi\)
−0.997720 + 0.0674935i \(0.978500\pi\)
\(198\) 3.39311 1.07831i 0.241138 0.0766318i
\(199\) 9.62725 0.682458 0.341229 0.939980i \(-0.389157\pi\)
0.341229 + 0.939980i \(0.389157\pi\)
\(200\) −14.3685 0.604870i −1.01601 0.0427708i
\(201\) 0.530596 9.53501i 0.0374253 0.672548i
\(202\) −1.19486 + 11.3683i −0.0840700 + 0.799872i
\(203\) −13.4954 + 14.9881i −0.947190 + 1.05196i
\(204\) −8.72876 + 2.30867i −0.611135 + 0.161639i
\(205\) −1.71515 3.12053i −0.119791 0.217947i
\(206\) 5.18192 15.9483i 0.361042 1.11117i
\(207\) 10.1407 13.7696i 0.704830 0.957052i
\(208\) −0.355733 + 1.09483i −0.0246656 + 0.0759130i
\(209\) −0.468188 4.45451i −0.0323852 0.308125i
\(210\) 5.62105 + 9.13344i 0.387890 + 0.630267i
\(211\) 0.649884 6.18323i 0.0447398 0.425671i −0.949111 0.314942i \(-0.898015\pi\)
0.993851 0.110729i \(-0.0353185\pi\)
\(212\) 7.63092 + 3.39750i 0.524094 + 0.233341i
\(213\) 11.2048 0.550936i 0.767742 0.0377495i
\(214\) −10.1689 + 4.52749i −0.695133 + 0.309493i
\(215\) 9.24207 3.88400i 0.630304 0.264887i
\(216\) 6.65572 + 13.3816i 0.452864 + 0.910500i
\(217\) 5.16487 15.8958i 0.350614 1.07908i
\(218\) −0.207863 + 0.360029i −0.0140783 + 0.0243842i
\(219\) −8.48174 + 6.82314i −0.573143 + 0.461065i
\(220\) −2.85611 + 1.98466i −0.192559 + 0.133805i
\(221\) 14.7208 16.3492i 0.990231 1.09976i
\(222\) 8.05605 + 8.10826i 0.540687 + 0.544191i
\(223\) 14.2889 6.36182i 0.956854 0.426019i 0.131928 0.991259i \(-0.457883\pi\)
0.824926 + 0.565240i \(0.191217\pi\)
\(224\) 16.9951 1.13554
\(225\) 3.82679 14.5036i 0.255120 0.966909i
\(226\) −10.6841 −0.710696
\(227\) −3.05923 + 1.36206i −0.203048 + 0.0904029i −0.505741 0.862685i \(-0.668781\pi\)
0.302693 + 0.953088i \(0.402114\pi\)
\(228\) 6.75906 1.78771i 0.447630 0.118394i
\(229\) 15.8284 17.5792i 1.04597 1.16167i 0.0594174 0.998233i \(-0.481076\pi\)
0.986554 0.163436i \(-0.0522576\pi\)
\(230\) 3.78769 10.8735i 0.249753 0.716979i
\(231\) 6.50359 + 2.52063i 0.427905 + 0.165845i
\(232\) −9.46229 + 16.3892i −0.621230 + 1.07600i
\(233\) −6.81754 + 20.9822i −0.446632 + 1.37459i 0.434053 + 0.900888i \(0.357083\pi\)
−0.880684 + 0.473704i \(0.842917\pi\)
\(234\) −11.6831 6.84625i −0.763748 0.447553i
\(235\) −9.70314 11.2433i −0.632963 0.733431i
\(236\) 3.81383 1.69803i 0.248259 0.110532i
\(237\) 2.23336 4.34844i 0.145072 0.282462i
\(238\) 11.1380 + 4.95896i 0.721969 + 0.321441i
\(239\) 1.51232 14.3888i 0.0978238 0.930731i −0.830013 0.557744i \(-0.811667\pi\)
0.927837 0.372987i \(-0.121666\pi\)
\(240\) 0.615454 + 0.646072i 0.0397274 + 0.0417038i
\(241\) −0.931272 8.86046i −0.0599885 0.570753i −0.982693 0.185244i \(-0.940693\pi\)
0.922704 0.385509i \(-0.125974\pi\)
\(242\) −2.58889 + 7.96779i −0.166420 + 0.512189i
\(243\) −15.1205 + 3.79091i −0.969979 + 0.243187i
\(244\) 4.48600 13.8065i 0.287187 0.883870i
\(245\) −0.672000 + 5.31549i −0.0429325 + 0.339594i
\(246\) −0.652654 + 2.40465i −0.0416117 + 0.153315i
\(247\) −11.3990 + 12.6599i −0.725300 + 0.805527i
\(248\) 1.63932 15.5971i 0.104097 0.990415i
\(249\) −18.6490 + 9.42641i −1.18183 + 0.597374i
\(250\) −0.420149 10.0911i −0.0265725 0.638218i
\(251\) 12.4010 0.782742 0.391371 0.920233i \(-0.372001\pi\)
0.391371 + 0.920233i \(0.372001\pi\)
\(252\) −2.33237 + 10.6347i −0.146926 + 0.669922i
\(253\) −2.31412 7.12212i −0.145487 0.447764i
\(254\) 15.4708 + 3.28843i 0.970727 + 0.206334i
\(255\) −5.72301 16.0635i −0.358389 1.00594i
\(256\) 16.1321 3.42897i 1.00825 0.214311i
\(257\) 15.6534 + 27.1124i 0.976431 + 1.69123i 0.675130 + 0.737699i \(0.264088\pi\)
0.301301 + 0.953529i \(0.402579\pi\)
\(258\) −6.54082 2.53505i −0.407214 0.157826i
\(259\) 2.34062 + 22.2695i 0.145439 + 1.38376i
\(260\) 12.8782 + 3.02181i 0.798673 + 0.187405i
\(261\) −14.5832 13.3024i −0.902678 0.823395i
\(262\) 3.83522 2.78645i 0.236940 0.172147i
\(263\) −2.67571 25.4577i −0.164992 1.56979i −0.693244 0.720703i \(-0.743819\pi\)
0.528252 0.849087i \(-0.322847\pi\)
\(264\) 6.46086 + 1.04470i 0.397638 + 0.0642969i
\(265\) −5.18962 + 14.8981i −0.318796 + 0.915185i
\(266\) −8.62464 3.83994i −0.528810 0.235442i
\(267\) −9.99583 + 8.04115i −0.611735 + 0.492110i
\(268\) 3.26387 5.65319i 0.199373 0.345324i
\(269\) 0.317149 0.976085i 0.0193369 0.0595129i −0.940922 0.338622i \(-0.890039\pi\)
0.960259 + 0.279109i \(0.0900392\pi\)
\(270\) −8.97421 + 5.44345i −0.546153 + 0.331278i
\(271\) 6.14011 + 18.8973i 0.372985 + 1.14793i 0.944828 + 0.327567i \(0.106229\pi\)
−0.571843 + 0.820363i \(0.693771\pi\)
\(272\) 0.992228 + 0.210905i 0.0601627 + 0.0127880i
\(273\) −9.42691 24.7970i −0.570543 1.50078i
\(274\) 0.821301 + 1.42253i 0.0496166 + 0.0859384i
\(275\) −4.18611 5.06203i −0.252432 0.305252i
\(276\) 10.4323 5.27313i 0.627948 0.317405i
\(277\) 16.5366 7.36256i 0.993587 0.442373i 0.155456 0.987843i \(-0.450315\pi\)
0.838131 + 0.545470i \(0.183649\pi\)
\(278\) −2.86669 8.82276i −0.171933 0.529154i
\(279\) 15.5242 + 5.15522i 0.929410 + 0.308635i
\(280\) 1.64785 + 19.6454i 0.0984778 + 1.17404i
\(281\) −17.1957 19.0978i −1.02581 1.13928i −0.990164 0.139913i \(-0.955318\pi\)
−0.0356460 0.999364i \(-0.511349\pi\)
\(282\) −0.577394 + 10.3760i −0.0343833 + 0.617882i
\(283\) −8.60803 + 1.82969i −0.511694 + 0.108764i −0.456521 0.889713i \(-0.650905\pi\)
−0.0551737 + 0.998477i \(0.517571\pi\)
\(284\) 7.00535 + 3.11898i 0.415691 + 0.185078i
\(285\) 4.43158 + 12.4387i 0.262504 + 0.736804i
\(286\) −5.41722 + 2.41190i −0.320327 + 0.142619i
\(287\) −3.94908 + 2.86917i −0.233107 + 0.169362i
\(288\) −0.107445 + 16.6327i −0.00633125 + 0.980093i
\(289\) −1.93028 1.40243i −0.113546 0.0824960i
\(290\) −12.0252 5.65999i −0.706145 0.332366i
\(291\) −13.4705 + 26.2275i −0.789652 + 1.53748i
\(292\) −7.27822 + 1.54703i −0.425926 + 0.0905333i
\(293\) −3.17339 5.49647i −0.185391 0.321107i 0.758317 0.651886i \(-0.226022\pi\)
−0.943708 + 0.330779i \(0.892689\pi\)
\(294\) 2.92117 2.34994i 0.170366 0.137051i
\(295\) 3.79785 + 6.90977i 0.221119 + 0.402302i
\(296\) 6.49279 + 19.9828i 0.377386 + 1.16147i
\(297\) −2.50799 + 6.34897i −0.145528 + 0.368405i
\(298\) −4.98210 3.61971i −0.288605 0.209684i
\(299\) −14.2411 + 24.6662i −0.823582 + 1.42649i
\(300\) 6.80682 7.66788i 0.392992 0.442705i
\(301\) −6.87138 11.9016i −0.396060 0.685996i
\(302\) 1.85147 17.6156i 0.106540 1.01366i
\(303\) −15.4476 15.5477i −0.887440 0.893191i
\(304\) −0.768325 0.163313i −0.0440665 0.00936662i
\(305\) 26.6927 + 6.26331i 1.52842 + 0.358636i
\(306\) −4.92363 + 10.8691i −0.281465 + 0.621347i
\(307\) −25.8730 −1.47665 −0.738325 0.674445i \(-0.764383\pi\)
−0.738325 + 0.674445i \(0.764383\pi\)
\(308\) 3.19024 + 3.54312i 0.181781 + 0.201888i
\(309\) 17.4241 + 27.0214i 0.991222 + 1.53720i
\(310\) 11.0116 + 0.231676i 0.625419 + 0.0131583i
\(311\) −0.350514 + 3.33492i −0.0198758 + 0.189106i −0.999955 0.00950197i \(-0.996975\pi\)
0.980079 + 0.198608i \(0.0636421\pi\)
\(312\) −13.4898 20.9201i −0.763709 1.18437i
\(313\) 0.927483 + 8.82441i 0.0524244 + 0.498785i 0.988957 + 0.148204i \(0.0473492\pi\)
−0.936532 + 0.350581i \(0.885984\pi\)
\(314\) 11.1519 + 8.10232i 0.629338 + 0.457241i
\(315\) −20.3832 2.71079i −1.14846 0.152736i
\(316\) 2.70333 1.96408i 0.152074 0.110488i
\(317\) −21.3777 23.7423i −1.20069 1.33350i −0.928534 0.371249i \(-0.878930\pi\)
−0.272157 0.962253i \(-0.587737\pi\)
\(318\) 9.85210 4.97988i 0.552478 0.279258i
\(319\) −8.45500 + 1.79717i −0.473389 + 0.100622i
\(320\) 3.53372 + 11.7081i 0.197541 + 0.654504i
\(321\) 5.59040 20.5973i 0.312026 1.14963i
\(322\) −15.4395 3.28176i −0.860407 0.182885i
\(323\) 12.1445 + 8.82347i 0.675736 + 0.490951i
\(324\) −10.3932 2.34987i −0.577397 0.130548i
\(325\) −3.65418 + 24.7145i −0.202697 + 1.37091i
\(326\) −0.318393 + 0.551473i −0.0176342 + 0.0305433i
\(327\) −0.283247 0.745067i −0.0156636 0.0412023i
\(328\) −3.06479 + 3.40380i −0.169225 + 0.187943i
\(329\) −13.6228 + 15.1296i −0.751047 + 0.834122i
\(330\) −0.351856 + 4.58287i −0.0193690 + 0.252279i
\(331\) −8.25522 9.16835i −0.453748 0.503938i 0.472251 0.881464i \(-0.343442\pi\)
−0.925999 + 0.377526i \(0.876775\pi\)
\(332\) −14.2835 −0.783908
\(333\) −21.8095 + 2.14992i −1.19515 + 0.117815i
\(334\) 3.30052 2.39797i 0.180596 0.131211i
\(335\) 11.1549 + 5.25033i 0.609455 + 0.286856i
\(336\) 0.772851 0.948114i 0.0421625 0.0517239i
\(337\) −6.54409 2.91362i −0.356479 0.158715i 0.220680 0.975346i \(-0.429172\pi\)
−0.577160 + 0.816631i \(0.695839\pi\)
\(338\) 9.87539 + 4.39681i 0.537151 + 0.239155i
\(339\) 12.9431 15.8782i 0.702970 0.862386i
\(340\) 1.46198 11.5642i 0.0792872 0.627158i
\(341\) 5.79521 4.21047i 0.313828 0.228010i
\(342\) 3.81258 8.41645i 0.206161 0.455109i
\(343\) −14.1124 −0.761998
\(344\) −8.62854 9.58296i −0.465219 0.516679i
\(345\) 11.5712 + 18.8016i 0.622972 + 1.01224i
\(346\) −2.63286 + 2.92408i −0.141543 + 0.157200i
\(347\) 0.212737 0.236268i 0.0114203 0.0126835i −0.737408 0.675448i \(-0.763950\pi\)
0.748828 + 0.662764i \(0.230617\pi\)
\(348\) −4.79457 12.6119i −0.257016 0.676068i
\(349\) −7.13603 + 12.3600i −0.381983 + 0.661614i −0.991346 0.131278i \(-0.958092\pi\)
0.609363 + 0.792892i \(0.291425\pi\)
\(350\) −13.6519 + 2.30645i −0.729723 + 0.123285i
\(351\) 24.3279 9.06912i 1.29852 0.484074i
\(352\) 5.89274 + 4.28133i 0.314084 + 0.228196i
\(353\) 14.5817 + 3.09943i 0.776104 + 0.164966i 0.578902 0.815397i \(-0.303481\pi\)
0.197202 + 0.980363i \(0.436815\pi\)
\(354\) 1.44517 5.32459i 0.0768099 0.282999i
\(355\) −4.76418 + 13.6768i −0.252857 + 0.725890i
\(356\) −8.57746 + 1.82320i −0.454605 + 0.0966292i
\(357\) −20.8627 + 10.5453i −1.10417 + 0.558118i
\(358\) −0.224982 0.249868i −0.0118907 0.0132059i
\(359\) 12.3016 8.93763i 0.649253 0.471710i −0.213763 0.976885i \(-0.568572\pi\)
0.863017 + 0.505175i \(0.168572\pi\)
\(360\) −19.2369 + 1.48851i −1.01387 + 0.0784514i
\(361\) 5.96733 + 4.33552i 0.314070 + 0.228185i
\(362\) −0.462054 4.39615i −0.0242850 0.231057i
\(363\) −8.70509 13.4999i −0.456899 0.708562i
\(364\) 1.89547 18.0342i 0.0993497 0.945249i
\(365\) −4.06058 13.4538i −0.212540 0.704202i
\(366\) −10.3970 16.1237i −0.543460 0.842801i
\(367\) 5.63960 + 6.26341i 0.294385 + 0.326948i 0.872134 0.489267i \(-0.162736\pi\)
−0.577749 + 0.816214i \(0.696069\pi\)
\(368\) −1.31328 −0.0684595
\(369\) −2.78302 3.88301i −0.144878 0.202141i
\(370\) −13.6035 + 5.71693i −0.707215 + 0.297209i
\(371\) 21.1540 + 4.49643i 1.09826 + 0.233443i
\(372\) 7.88084 + 7.93192i 0.408603 + 0.411251i
\(373\) −3.37560 + 32.1167i −0.174782 + 1.66294i 0.458257 + 0.888820i \(0.348474\pi\)
−0.633039 + 0.774120i \(0.718193\pi\)
\(374\) 2.61266 + 4.52525i 0.135097 + 0.233995i
\(375\) 15.5059 + 11.6003i 0.800722 + 0.599036i
\(376\) −9.55160 + 16.5439i −0.492586 + 0.853184i
\(377\) 26.5972 + 19.3240i 1.36983 + 0.995238i
\(378\) 8.94620 + 11.2692i 0.460143 + 0.579624i
\(379\) 5.98776 + 18.4284i 0.307571 + 0.946605i 0.978705 + 0.205270i \(0.0658072\pi\)
−0.671135 + 0.741335i \(0.734193\pi\)
\(380\) −1.13208 + 8.95468i −0.0580744 + 0.459365i
\(381\) −23.6290 + 19.0083i −1.21055 + 0.973826i
\(382\) −1.89562 3.28331i −0.0969883 0.167989i
\(383\) 25.8583 5.49635i 1.32130 0.280851i 0.507326 0.861754i \(-0.330634\pi\)
0.813972 + 0.580904i \(0.197301\pi\)
\(384\) −4.86497 + 9.47229i −0.248265 + 0.483381i
\(385\) −6.16471 + 6.56354i −0.314183 + 0.334509i
\(386\) 2.15654 + 1.56682i 0.109765 + 0.0797489i
\(387\) 11.6912 6.64961i 0.594299 0.338019i
\(388\) −16.3050 + 11.8463i −0.827762 + 0.601405i
\(389\) 9.64786 4.29550i 0.489166 0.217791i −0.147305 0.989091i \(-0.547060\pi\)
0.636471 + 0.771300i \(0.280393\pi\)
\(390\) 13.8488 10.6687i 0.701260 0.540231i
\(391\) 22.9281 + 10.2082i 1.15952 + 0.516253i
\(392\) 6.74111 1.43287i 0.340477 0.0723707i
\(393\) −0.505014 + 9.07531i −0.0254746 + 0.457789i
\(394\) −4.14230 4.60049i −0.208686 0.231769i
\(395\) 4.12326 + 4.77774i 0.207464 + 0.240394i
\(396\) −3.48774 + 3.09981i −0.175265 + 0.155772i
\(397\) −0.814060 2.50542i −0.0408565 0.125743i 0.928548 0.371213i \(-0.121058\pi\)
−0.969404 + 0.245469i \(0.921058\pi\)
\(398\) 7.94498 3.53733i 0.398246 0.177310i
\(399\) 16.1549 8.16571i 0.808756 0.408797i
\(400\) −1.07113 + 0.423864i −0.0535567 + 0.0211932i
\(401\) 3.74794 + 6.49163i 0.187163 + 0.324177i 0.944303 0.329076i \(-0.106737\pi\)
−0.757140 + 0.653253i \(0.773404\pi\)
\(402\) −3.06556 8.06381i −0.152896 0.402186i
\(403\) −26.6493 5.66448i −1.32750 0.282168i
\(404\) −4.62951 14.2482i −0.230327 0.708873i
\(405\) 2.78185 19.9314i 0.138231 0.990400i
\(406\) −5.63011 + 17.3277i −0.279417 + 0.859959i
\(407\) −4.79846 + 8.31118i −0.237851 + 0.411970i
\(408\) −17.0909 + 13.7488i −0.846125 + 0.680665i
\(409\) 30.1389 + 13.4187i 1.49027 + 0.663513i 0.980451 0.196766i \(-0.0630438\pi\)
0.509824 + 0.860279i \(0.329710\pi\)
\(410\) −2.56201 1.94505i −0.126529 0.0960590i
\(411\) −3.10905 0.502725i −0.153358 0.0247976i
\(412\) 2.29728 + 21.8572i 0.113179 + 1.07683i
\(413\) 8.74443 6.35320i 0.430285 0.312620i
\(414\) 3.30939 15.0895i 0.162647 0.741607i
\(415\) −2.25487 26.8822i −0.110687 1.31960i
\(416\) −2.89577 27.5514i −0.141977 1.35082i
\(417\) 16.5848 + 6.42784i 0.812160 + 0.314772i
\(418\) −2.02309 3.50410i −0.0989527 0.171391i
\(419\) −17.7269 + 3.76797i −0.866017 + 0.184078i −0.619438 0.785045i \(-0.712640\pi\)
−0.246579 + 0.969123i \(0.579306\pi\)
\(420\) −11.5988 7.93901i −0.565965 0.387384i
\(421\) −23.5464 5.00494i −1.14758 0.243926i −0.405408 0.914136i \(-0.632871\pi\)
−0.742171 + 0.670210i \(0.766204\pi\)
\(422\) −1.73558 5.34155i −0.0844865 0.260023i
\(423\) −14.7209 13.4279i −0.715752 0.652888i
\(424\) 20.2928 0.985503
\(425\) 21.9953 + 0.925935i 1.06693 + 0.0449145i
\(426\) 9.04445 4.57164i 0.438205 0.221497i
\(427\) 3.92875 37.3795i 0.190125 1.80892i
\(428\) 9.76172 10.8415i 0.471851 0.524043i
\(429\) 2.97814 10.9727i 0.143786 0.529766i
\(430\) 6.20000 6.60111i 0.298991 0.318334i
\(431\) −5.44510 + 16.7583i −0.262281 + 0.807218i 0.730026 + 0.683419i \(0.239508\pi\)
−0.992307 + 0.123799i \(0.960492\pi\)
\(432\) 0.923010 + 0.762365i 0.0444083 + 0.0366793i
\(433\) 0.572909 1.76323i 0.0275322 0.0847355i −0.936346 0.351078i \(-0.885815\pi\)
0.963878 + 0.266342i \(0.0858152\pi\)
\(434\) −1.57823 15.0159i −0.0757576 0.720786i
\(435\) 22.9793 11.0146i 1.10177 0.528110i
\(436\) 0.0569525 0.541866i 0.00272753 0.0259507i
\(437\) −17.7542 7.90469i −0.849299 0.378132i
\(438\) −4.49261 + 8.74729i −0.214665 + 0.417962i
\(439\) −8.78739 + 3.91240i −0.419399 + 0.186728i −0.605576 0.795788i \(-0.707057\pi\)
0.186176 + 0.982516i \(0.440390\pi\)
\(440\) −4.37761 + 7.22680i −0.208695 + 0.344524i
\(441\) −0.0464339 + 7.18809i −0.00221114 + 0.342290i
\(442\) 6.14136 18.9011i 0.292114 0.899036i
\(443\) −18.6090 + 32.2317i −0.884138 + 1.53137i −0.0374398 + 0.999299i \(0.511920\pi\)
−0.846698 + 0.532073i \(0.821413\pi\)
\(444\) −13.9677 5.41354i −0.662879 0.256915i
\(445\) −4.78544 15.8554i −0.226851 0.751618i
\(446\) 9.45451 10.5003i 0.447684 0.497203i
\(447\) 11.4149 3.01913i 0.539907 0.142800i
\(448\) 15.3157 6.81899i 0.723599 0.322167i
\(449\) −27.8383 −1.31377 −0.656885 0.753991i \(-0.728126\pi\)
−0.656885 + 0.753991i \(0.728126\pi\)
\(450\) −2.17096 13.3753i −0.102340 0.630519i
\(451\) −2.09206 −0.0985111
\(452\) 12.7920 5.69537i 0.601686 0.267888i
\(453\) 23.9365 + 24.0916i 1.12464 + 1.13192i
\(454\) −2.02420 + 2.24810i −0.0950003 + 0.105509i
\(455\) 34.2405 + 0.720393i 1.60522 + 0.0337725i
\(456\) 13.2342 10.6463i 0.619749 0.498557i
\(457\) 4.49089 7.77846i 0.210075 0.363861i −0.741663 0.670773i \(-0.765962\pi\)
0.951738 + 0.306912i \(0.0992958\pi\)
\(458\) 6.60342 20.3232i 0.308558 0.949643i
\(459\) −10.1886 20.4845i −0.475562 0.956134i
\(460\) 1.26137 + 15.0379i 0.0588119 + 0.701147i
\(461\) −10.6691 + 4.75018i −0.496909 + 0.221238i −0.639860 0.768492i \(-0.721008\pi\)
0.142951 + 0.989730i \(0.454341\pi\)
\(462\) 6.29330 0.309439i 0.292791 0.0143964i
\(463\) 24.8731 + 11.0742i 1.15595 + 0.514662i 0.892960 0.450137i \(-0.148625\pi\)
0.262990 + 0.964799i \(0.415291\pi\)
\(464\) −0.158452 + 1.50757i −0.00735597 + 0.0699874i
\(465\) −13.6842 + 16.0843i −0.634588 + 0.745893i
\(466\) 2.08324 + 19.8207i 0.0965043 + 0.918177i
\(467\) −1.51920 + 4.67562i −0.0703002 + 0.216362i −0.980034 0.198830i \(-0.936286\pi\)
0.909734 + 0.415192i \(0.136286\pi\)
\(468\) 17.6377 + 1.96907i 0.815301 + 0.0910201i
\(469\) 5.22261 16.0736i 0.241158 0.742208i
\(470\) −12.1387 5.71341i −0.559917 0.263540i
\(471\) −25.5510 + 6.75801i −1.17733 + 0.311392i
\(472\) 6.78636 7.53701i 0.312367 0.346919i
\(473\) 0.615664 5.85765i 0.0283083 0.269335i
\(474\) 0.245359 4.40919i 0.0112697 0.202521i
\(475\) −17.0319 0.716992i −0.781477 0.0328978i
\(476\) −15.9789 −0.732394
\(477\) −4.53428 + 20.6745i −0.207611 + 0.946621i
\(478\) −4.03879 12.4301i −0.184730 0.568541i
\(479\) −34.0425 7.23596i −1.55544 0.330619i −0.651626 0.758541i \(-0.725913\pi\)
−0.903816 + 0.427921i \(0.859246\pi\)
\(480\) −19.8544 8.17946i −0.906223 0.373339i
\(481\) 35.7031 7.58893i 1.62792 0.346026i
\(482\) −4.02413 6.97000i −0.183294 0.317475i
\(483\) 23.5810 18.9698i 1.07297 0.863154i
\(484\) −1.14772 10.9199i −0.0521692 0.496357i
\(485\) −24.8693 28.8168i −1.12926 1.30850i
\(486\) −11.0854 + 8.68418i −0.502845 + 0.393923i
\(487\) 10.2778 7.46726i 0.465732 0.338374i −0.330044 0.943966i \(-0.607064\pi\)
0.795775 + 0.605592i \(0.207064\pi\)
\(488\) −3.68643 35.0740i −0.166877 1.58773i
\(489\) −0.433862 1.14125i −0.0196199 0.0516092i
\(490\) 1.39849 + 4.63357i 0.0631774 + 0.209323i
\(491\) 10.3803 + 4.62163i 0.468458 + 0.208571i 0.627369 0.778722i \(-0.284132\pi\)
−0.158911 + 0.987293i \(0.550798\pi\)
\(492\) −0.500425 3.22698i −0.0225609 0.145484i
\(493\) 14.4849 25.0885i 0.652366 1.12993i
\(494\) −4.75552 + 14.6360i −0.213961 + 0.658504i
\(495\) −6.38460 6.07475i −0.286967 0.273040i
\(496\) −0.388194 1.19474i −0.0174304 0.0536454i
\(497\) 19.4199 + 4.12782i 0.871101 + 0.185158i
\(498\) −11.9267 + 14.6314i −0.534450 + 0.655650i
\(499\) −9.68467 16.7743i −0.433545 0.750923i 0.563630 0.826027i \(-0.309404\pi\)
−0.997176 + 0.0751046i \(0.976071\pi\)
\(500\) 5.88231 + 11.8581i 0.263065 + 0.530309i
\(501\) −0.434607 + 7.81005i −0.0194168 + 0.348927i
\(502\) 10.2340 4.55647i 0.456766 0.203365i
\(503\) 5.93488 + 18.2657i 0.264623 + 0.814427i 0.991780 + 0.127955i \(0.0408413\pi\)
−0.727157 + 0.686471i \(0.759159\pi\)
\(504\) 5.33196 + 25.9067i 0.237504 + 1.15397i
\(505\) 26.0850 10.9623i 1.16077 0.487815i
\(506\) −4.52662 5.02732i −0.201233 0.223491i
\(507\) −18.4977 + 9.34991i −0.821511 + 0.415244i
\(508\) −20.2761 + 4.30982i −0.899607 + 0.191217i
\(509\) −13.1641 5.86104i −0.583489 0.259786i 0.0936937 0.995601i \(-0.470133\pi\)
−0.677182 + 0.735815i \(0.736799\pi\)
\(510\) −10.6252 11.1538i −0.470490 0.493897i
\(511\) −17.5992 + 7.83567i −0.778543 + 0.346630i
\(512\) 2.10561 1.52982i 0.0930558 0.0676090i
\(513\) 7.88945 + 15.8620i 0.348328 + 0.700325i
\(514\) 22.8800 + 16.6233i 1.00919 + 0.733222i
\(515\) −40.7737 + 7.77410i −1.79670 + 0.342568i
\(516\) 9.18265 0.451507i 0.404244 0.0198765i
\(517\) −8.53481 + 1.81413i −0.375360 + 0.0797853i
\(518\) 10.1141 + 17.5181i 0.444388 + 0.769703i
\(519\) −1.15611 7.45516i −0.0507476 0.327245i
\(520\) 31.5671 6.01873i 1.38431 0.263939i
\(521\) 4.65920 + 14.3396i 0.204123 + 0.628227i 0.999748 + 0.0224375i \(0.00714269\pi\)
−0.795625 + 0.605790i \(0.792857\pi\)
\(522\) −16.9226 5.61960i −0.740682 0.245963i
\(523\) 12.9615 + 9.41708i 0.566767 + 0.411780i 0.833929 0.551871i \(-0.186086\pi\)
−0.267162 + 0.963652i \(0.586086\pi\)
\(524\) −3.10651 + 5.38064i −0.135709 + 0.235054i
\(525\) 13.1106 23.0829i 0.572192 1.00742i
\(526\) −11.5621 20.0261i −0.504130 0.873178i
\(527\) −2.50947 + 23.8760i −0.109314 + 1.04005i
\(528\) 0.506816 0.134048i 0.0220563 0.00583368i
\(529\) −9.28544 1.97368i −0.403715 0.0858122i
\(530\) 1.19123 + 14.2016i 0.0517436 + 0.616879i
\(531\) 6.16244 + 8.59812i 0.267427 + 0.373127i
\(532\) 12.3732 0.536446
\(533\) 5.32419 + 5.91312i 0.230616 + 0.256126i
\(534\) −5.29460 + 10.3088i −0.229120 + 0.446105i
\(535\) 21.9453 + 16.6606i 0.948778 + 0.720299i
\(536\) 1.65765 15.7715i 0.0715995 0.681223i
\(537\) 0.643891 0.0316599i 0.0277860 0.00136622i
\(538\) −0.0969116 0.922052i −0.00417816 0.0397525i
\(539\) 2.54664 + 1.85024i 0.109692 + 0.0796956i
\(540\) 7.84304 11.3013i 0.337511 0.486330i
\(541\) 12.8369 9.32652i 0.551900 0.400979i −0.276586 0.960989i \(-0.589203\pi\)
0.828485 + 0.560011i \(0.189203\pi\)
\(542\) 12.0106 + 13.3391i 0.515900 + 0.572964i
\(543\) 7.09310 + 4.63895i 0.304394 + 0.199076i
\(544\) −23.8781 + 5.07544i −1.02376 + 0.217608i
\(545\) 1.02881 + 0.0216454i 0.0440694 + 0.000927186i
\(546\) −16.8908 17.0003i −0.722859 0.727544i
\(547\) 15.4623 + 3.28661i 0.661119 + 0.140525i 0.526239 0.850337i \(-0.323602\pi\)
0.134880 + 0.990862i \(0.456935\pi\)
\(548\) −1.74165 1.26538i −0.0743996 0.0540545i
\(549\) 36.5576 + 4.08128i 1.56024 + 0.174185i
\(550\) −5.31456 2.63939i −0.226614 0.112544i
\(551\) −11.2163 + 19.4271i −0.477829 + 0.827624i
\(552\) 17.9423 22.0112i 0.763676 0.936858i
\(553\) 5.78887 6.42919i 0.246168 0.273397i
\(554\) 10.9417 12.1520i 0.464870 0.516290i
\(555\) 7.98353 27.1426i 0.338882 1.15214i
\(556\) 8.13542 + 9.03530i 0.345019 + 0.383182i
\(557\) 32.3933 1.37255 0.686273 0.727344i \(-0.259245\pi\)
0.686273 + 0.727344i \(0.259245\pi\)
\(558\) 14.7057 1.44965i 0.622540 0.0613685i
\(559\) −18.1233 + 13.1673i −0.766533 + 0.556919i
\(560\) 0.760631 + 1.38389i 0.0321425 + 0.0584798i
\(561\) −9.89027 1.59923i −0.417568 0.0675195i
\(562\) −21.2080 9.44240i −0.894605 0.398304i
\(563\) −16.9161 7.53153i −0.712928 0.317416i 0.0180307 0.999837i \(-0.494260\pi\)
−0.730959 + 0.682421i \(0.760927\pi\)
\(564\) −4.83983 12.7309i −0.203793 0.536069i
\(565\) 12.7384 + 23.1761i 0.535909 + 0.975027i
\(566\) −6.43157 + 4.67281i −0.270339 + 0.196413i
\(567\) −27.5854 0.356410i −1.15848 0.0149678i
\(568\) 18.6292 0.781664
\(569\) −6.48119 7.19809i −0.271705 0.301759i 0.591814 0.806074i \(-0.298412\pi\)
−0.863520 + 0.504315i \(0.831745\pi\)
\(570\) 8.22753 + 8.63684i 0.344613 + 0.361757i
\(571\) −20.0597 + 22.2785i −0.839471 + 0.932327i −0.998489 0.0549489i \(-0.982500\pi\)
0.159018 + 0.987276i \(0.449167\pi\)
\(572\) 5.20030 5.77552i 0.217436 0.241487i
\(573\) 7.17591 + 1.16032i 0.299778 + 0.0484732i
\(574\) −2.20480 + 3.81882i −0.0920264 + 0.159394i
\(575\) −28.1030 + 4.74794i −1.17198 + 0.198003i
\(576\) 6.57676 + 15.0322i 0.274032 + 0.626343i
\(577\) −26.5530 19.2919i −1.10542 0.803131i −0.123480 0.992347i \(-0.539405\pi\)
−0.981936 + 0.189216i \(0.939405\pi\)
\(578\) −2.10828 0.448128i −0.0876928 0.0186397i
\(579\) −4.94103 + 1.30685i −0.205342 + 0.0543110i
\(580\) 17.4149 + 0.366395i 0.723114 + 0.0152137i
\(581\) −36.1727 + 7.68874i −1.50070 + 0.318983i
\(582\) −1.47987 + 26.5939i −0.0613427 + 1.10235i
\(583\) 6.20205 + 6.88807i 0.256862 + 0.285275i
\(584\) −14.6242 + 10.6251i −0.605155 + 0.439671i
\(585\) −0.921503 + 33.5058i −0.0380995 + 1.38529i
\(586\) −4.63843 3.37002i −0.191612 0.139214i
\(587\) 0.106692 + 1.01511i 0.00440367 + 0.0418981i 0.996503 0.0835562i \(-0.0266278\pi\)
−0.992099 + 0.125454i \(0.959961\pi\)
\(588\) −2.24482 + 4.37076i −0.0925749 + 0.180247i
\(589\) 1.94319 18.4882i 0.0800677 0.761793i
\(590\) 5.67306 + 4.30691i 0.233556 + 0.177313i
\(591\) 11.8551 0.582912i 0.487655 0.0239778i
\(592\) 1.12615 + 1.25072i 0.0462847 + 0.0514043i
\(593\) 4.83840 0.198689 0.0993446 0.995053i \(-0.468325\pi\)
0.0993446 + 0.995053i \(0.468325\pi\)
\(594\) 0.263053 + 6.16105i 0.0107932 + 0.252791i
\(595\) −2.52253 30.0732i −0.103413 1.23288i
\(596\) 7.89460 + 1.67805i 0.323375 + 0.0687355i
\(597\) −4.36778 + 16.0927i −0.178761 + 0.658630i
\(598\) −2.68947 + 25.5886i −0.109981 + 1.04640i
\(599\) −4.41032 7.63890i −0.180201 0.312117i 0.761748 0.647874i \(-0.224341\pi\)
−0.941949 + 0.335756i \(0.891008\pi\)
\(600\) 7.52991 23.7436i 0.307407 0.969328i
\(601\) 5.73110 9.92656i 0.233777 0.404913i −0.725140 0.688602i \(-0.758225\pi\)
0.958916 + 0.283689i \(0.0915582\pi\)
\(602\) −10.0437 7.29714i −0.409349 0.297409i
\(603\) 15.6978 + 5.21286i 0.639263 + 0.212284i
\(604\) 7.17358 + 22.0780i 0.291889 + 0.898341i
\(605\) 20.3705 3.88394i 0.828180 0.157905i
\(606\) −18.4609 7.15498i −0.749924 0.290651i
\(607\) −18.0174 31.2070i −0.731302 1.26665i −0.956327 0.292299i \(-0.905580\pi\)
0.225025 0.974353i \(-0.427754\pi\)
\(608\) 18.4898 3.93014i 0.749862 0.159388i
\(609\) −18.9311 29.3585i −0.767127 1.18967i
\(610\) 24.3297 4.63882i 0.985082 0.187820i
\(611\) 26.8483 + 19.5064i 1.08617 + 0.789145i
\(612\) 0.101020 15.6382i 0.00408350 0.632137i
\(613\) −15.2951 + 11.1125i −0.617761 + 0.448830i −0.852139 0.523316i \(-0.824695\pi\)
0.234378 + 0.972146i \(0.424695\pi\)
\(614\) −21.3519 + 9.50648i −0.861693 + 0.383651i
\(615\) 5.99434 1.45125i 0.241715 0.0585202i
\(616\) 10.5813 + 4.71108i 0.426331 + 0.189815i
\(617\) 24.4055 5.18754i 0.982527 0.208842i 0.311476 0.950254i \(-0.399177\pi\)
0.671051 + 0.741412i \(0.265843\pi\)
\(618\) 24.3078 + 15.8976i 0.977805 + 0.639493i
\(619\) −8.91589 9.90210i −0.358360 0.397999i 0.536825 0.843693i \(-0.319623\pi\)
−0.895185 + 0.445695i \(0.852957\pi\)
\(620\) −13.3077 + 5.59259i −0.534450 + 0.224604i
\(621\) 18.4162 + 23.1981i 0.739015 + 0.930908i
\(622\) 0.936081 + 2.88096i 0.0375334 + 0.115516i
\(623\) −20.7409 + 9.23443i −0.830965 + 0.369970i
\(624\) −1.66870 1.09135i −0.0668017 0.0436889i
\(625\) −21.3889 + 12.9428i −0.855555 + 0.517712i
\(626\) 4.00776 + 6.94164i 0.160182 + 0.277444i
\(627\) 7.65847 + 1.23835i 0.305850 + 0.0494550i
\(628\) −17.6712 3.75613i −0.705158 0.149886i
\(629\) −9.93916 30.5896i −0.396300 1.21969i
\(630\) −17.8174 + 5.25228i −0.709864 + 0.209256i
\(631\) 12.8766 39.6300i 0.512608 1.57764i −0.274986 0.961448i \(-0.588673\pi\)
0.787593 0.616195i \(-0.211327\pi\)
\(632\) 4.05887 7.03017i 0.161453 0.279645i
\(633\) 10.0409 + 3.89159i 0.399090 + 0.154677i
\(634\) −26.3657 11.7388i −1.04712 0.466207i
\(635\) −11.3122 37.4803i −0.448911 1.48736i
\(636\) −9.14125 + 11.2142i −0.362474 + 0.444674i
\(637\) −1.25145 11.9068i −0.0495843 0.471763i
\(638\) −6.31724 + 4.58974i −0.250102 + 0.181710i
\(639\) −4.16257 + 18.9797i −0.164669 + 0.750824i
\(640\) −8.98178 10.4074i −0.355036 0.411390i
\(641\) 1.38523 + 13.1796i 0.0547135 + 0.520564i 0.987215 + 0.159397i \(0.0509549\pi\)
−0.932501 + 0.361167i \(0.882378\pi\)
\(642\) −2.95452 19.0522i −0.116606 0.751930i
\(643\) −18.9481 32.8190i −0.747239 1.29426i −0.949141 0.314851i \(-0.898046\pi\)
0.201902 0.979406i \(-0.435288\pi\)
\(644\) 20.2350 4.30108i 0.797370 0.169486i
\(645\) 2.29938 + 17.2109i 0.0905382 + 0.677680i
\(646\) 13.2643 + 2.81942i 0.521878 + 0.110929i
\(647\) 2.22129 + 6.83642i 0.0873278 + 0.268767i 0.985178 0.171533i \(-0.0548720\pi\)
−0.897851 + 0.440300i \(0.854872\pi\)
\(648\) −25.3879 + 5.05447i −0.997332 + 0.198558i
\(649\) 4.63243 0.181839
\(650\) 6.06519 + 21.7385i 0.237896 + 0.852655i
\(651\) 24.2278 + 15.8452i 0.949563 + 0.621023i
\(652\) 0.0872367 0.830002i 0.00341645 0.0325054i
\(653\) −26.4265 + 29.3496i −1.03415 + 1.14854i −0.0453968 + 0.998969i \(0.514455\pi\)
−0.988751 + 0.149569i \(0.952211\pi\)
\(654\) −0.507511 0.510800i −0.0198452 0.0199739i
\(655\) −10.6170 4.99720i −0.414842 0.195257i
\(656\) −0.113373 + 0.348927i −0.00442648 + 0.0136233i
\(657\) −7.55732 17.2735i −0.294839 0.673902i
\(658\) −5.68325 + 17.4912i −0.221556 + 0.681879i
\(659\) 0.726501 + 6.91219i 0.0283004 + 0.269261i 0.999517 + 0.0310641i \(0.00988960\pi\)
−0.971217 + 0.238197i \(0.923444\pi\)
\(660\) −2.02172 5.67462i −0.0786953 0.220884i
\(661\) 3.40322 32.3795i 0.132370 1.25942i −0.703582 0.710614i \(-0.748417\pi\)
0.835952 0.548803i \(-0.184916\pi\)
\(662\) −10.1814 4.53306i −0.395712 0.176182i
\(663\) 20.6502 + 32.0244i 0.801986 + 1.24373i
\(664\) −31.6999 + 14.1137i −1.23020 + 0.547719i
\(665\) 1.95330 + 23.2870i 0.0757458 + 0.903030i
\(666\) −17.2085 + 9.78767i −0.666816 + 0.379265i
\(667\) −11.5898 + 35.6698i −0.448760 + 1.38114i
\(668\) −2.67341 + 4.63048i −0.103437 + 0.179159i
\(669\) 4.15156 + 26.7712i 0.160508 + 1.03504i
\(670\) 11.1348 + 0.234267i 0.430174 + 0.00905051i
\(671\) 10.7787 11.9709i 0.416106 0.462133i
\(672\) −7.71051 + 28.4087i −0.297439 + 1.09589i
\(673\) −6.96780 + 3.10226i −0.268589 + 0.119583i −0.536612 0.843829i \(-0.680296\pi\)
0.268023 + 0.963412i \(0.413630\pi\)
\(674\) −6.47112 −0.249258
\(675\) 22.5078 + 12.9769i 0.866324 + 0.499482i
\(676\) −14.1676 −0.544906
\(677\) −5.26216 + 2.34286i −0.202241 + 0.0900436i −0.505358 0.862910i \(-0.668639\pi\)
0.303117 + 0.952953i \(0.401973\pi\)
\(678\) 4.84726 17.8593i 0.186158 0.685882i
\(679\) −34.9154 + 38.7775i −1.33993 + 1.48814i
\(680\) −8.18214 27.1096i −0.313771 1.03961i
\(681\) −0.888842 5.73169i −0.0340605 0.219639i
\(682\) 3.23550 5.60406i 0.123894 0.214590i
\(683\) 7.75429 23.8652i 0.296709 0.913178i −0.685932 0.727665i \(-0.740605\pi\)
0.982642 0.185513i \(-0.0593946\pi\)
\(684\) −0.0782244 + 12.1093i −0.00299099 + 0.463012i
\(685\) 2.10657 3.47763i 0.0804878 0.132874i
\(686\) −11.6464 + 5.18531i −0.444661 + 0.197976i
\(687\) 22.2039 + 34.4339i 0.847130 + 1.31374i
\(688\) −0.943614 0.420124i −0.0359750 0.0160171i
\(689\) 3.68492 35.0597i 0.140384 1.33567i
\(690\) 16.4575 + 11.2646i 0.626526 + 0.428836i
\(691\) −3.55575 33.8307i −0.135267 1.28698i −0.825918 0.563791i \(-0.809342\pi\)
0.690651 0.723188i \(-0.257324\pi\)
\(692\) 1.59356 4.90449i 0.0605782 0.186441i
\(693\) −7.16403 + 9.72767i −0.272139 + 0.369523i
\(694\) 0.0887512 0.273148i 0.00336895 0.0103686i
\(695\) −15.7206 + 16.7377i −0.596316 + 0.634895i
\(696\) −23.1028 23.2525i −0.875709 0.881385i
\(697\) 4.69158 5.21053i 0.177706 0.197363i
\(698\) −1.34766 + 12.8222i −0.0510098 + 0.485326i
\(699\) −31.9803 20.9154i −1.20961 0.791095i
\(700\) 15.1158 10.0389i 0.571324 0.379435i
\(701\) −43.0578 −1.62627 −0.813135 0.582076i \(-0.802241\pi\)
−0.813135 + 0.582076i \(0.802241\pi\)
\(702\) 16.7445 16.4231i 0.631981 0.619851i
\(703\) 7.69632 + 23.6868i 0.290272 + 0.893366i
\(704\) 7.02824 + 1.49390i 0.264887 + 0.0563034i
\(705\) 23.1962 11.1186i 0.873620 0.418750i
\(706\) 13.1725 2.79990i 0.495753 0.105375i
\(707\) −19.3939 33.5912i −0.729383 1.26333i
\(708\) 1.10809 + 7.14549i 0.0416445 + 0.268544i
\(709\) −0.358984 3.41550i −0.0134819 0.128272i 0.985711 0.168447i \(-0.0538751\pi\)
−0.999193 + 0.0401750i \(0.987208\pi\)
\(710\) 1.09357 + 13.0374i 0.0410410 + 0.489285i
\(711\) 6.25550 + 5.70607i 0.234600 + 0.213995i
\(712\) −17.2348 + 12.5218i −0.645902 + 0.469275i
\(713\) −3.24887 30.9109i −0.121671 1.15762i
\(714\) −13.3425 + 16.3682i −0.499329 + 0.612564i
\(715\) 11.6908 + 8.87548i 0.437210 + 0.331924i
\(716\) 0.402566 + 0.179234i 0.0150446 + 0.00669829i
\(717\) 23.3658 + 9.05598i 0.872611 + 0.338202i
\(718\) 6.86806 11.8958i 0.256314 0.443948i
\(719\) −3.21496 + 9.89464i −0.119898 + 0.369008i −0.992937 0.118642i \(-0.962146\pi\)
0.873039 + 0.487650i \(0.162146\pi\)
\(720\) −1.35918 + 0.735662i −0.0506538 + 0.0274165i
\(721\) 17.5835 + 54.1163i 0.654842 + 2.01540i
\(722\) 6.51759 + 1.38536i 0.242560 + 0.0515576i
\(723\) 15.2334 + 2.46320i 0.566538 + 0.0916075i
\(724\) 2.89667 + 5.01718i 0.107654 + 0.186462i
\(725\) 2.05964 + 32.8336i 0.0764930 + 1.21941i
\(726\) −12.1442 7.94243i −0.450714 0.294771i
\(727\) −22.3505 + 9.95109i −0.828934 + 0.369065i −0.776934 0.629582i \(-0.783226\pi\)
−0.0520001 + 0.998647i \(0.516560\pi\)
\(728\) −13.6132 41.8970i −0.504538 1.55281i
\(729\) 0.523207 26.9949i 0.0193780 0.999812i
\(730\) −8.29433 9.61086i −0.306987 0.355714i
\(731\) 13.2086 + 14.6696i 0.488536 + 0.542574i
\(732\) 21.0433 + 13.7625i 0.777785 + 0.508678i
\(733\) 23.4045 4.97477i 0.864464 0.183747i 0.245721 0.969341i \(-0.420975\pi\)
0.618743 + 0.785593i \(0.287642\pi\)
\(734\) 6.95549 + 3.09678i 0.256732 + 0.114304i
\(735\) −8.58037 3.53488i −0.316492 0.130386i
\(736\) 28.8719 12.8546i 1.06423 0.473827i
\(737\) 5.86001 4.25755i 0.215856 0.156829i
\(738\) −3.72345 2.18192i −0.137062 0.0803177i
\(739\) 34.3422 + 24.9510i 1.26330 + 0.917839i 0.998915 0.0465793i \(-0.0148320\pi\)
0.264382 + 0.964418i \(0.414832\pi\)
\(740\) 13.2399 14.0965i 0.486710 0.518197i
\(741\) −15.9903 24.7979i −0.587419 0.910974i
\(742\) 19.1097 4.06189i 0.701538 0.149117i
\(743\) −6.21697 10.7681i −0.228079 0.395044i 0.729160 0.684343i \(-0.239911\pi\)
−0.957239 + 0.289300i \(0.906578\pi\)
\(744\) 25.3279 + 9.81647i 0.928568 + 0.359889i
\(745\) −1.91189 + 15.1229i −0.0700462 + 0.554062i
\(746\) 9.01486 + 27.7449i 0.330058 + 1.01581i
\(747\) −7.29610 35.4499i −0.266950 1.29705i
\(748\) −5.54040 4.02533i −0.202577 0.147181i
\(749\) 18.8855 32.7106i 0.690060 1.19522i
\(750\) 17.0587 + 3.87592i 0.622895 + 0.141528i
\(751\) −21.2022 36.7234i −0.773681 1.34005i −0.935533 0.353240i \(-0.885080\pi\)
0.161852 0.986815i \(-0.448253\pi\)
\(752\) −0.159948 + 1.52180i −0.00583270 + 0.0554945i
\(753\) −5.62618 + 20.7291i −0.205029 + 0.755412i
\(754\) 29.0498 + 6.17473i 1.05793 + 0.224870i
\(755\) −40.4195 + 16.9864i −1.47102 + 0.618198i
\(756\) −16.7185 8.72357i −0.608046 0.317273i
\(757\) 28.4481 1.03397 0.516983 0.855996i \(-0.327055\pi\)
0.516983 + 0.855996i \(0.327055\pi\)
\(758\) 11.7126 + 13.0082i 0.425421 + 0.472478i
\(759\) 12.9550 0.636994i 0.470238 0.0231214i
\(760\) 6.33579 + 20.9921i 0.229823 + 0.761465i
\(761\) −2.86142 + 27.2246i −0.103726 + 0.986890i 0.811610 + 0.584199i \(0.198591\pi\)
−0.915336 + 0.402690i \(0.868075\pi\)
\(762\) −12.5158 + 24.3688i −0.453400 + 0.882787i
\(763\) −0.147453 1.40293i −0.00533817 0.0507893i
\(764\) 4.01985 + 2.92059i 0.145433 + 0.105663i
\(765\) 29.4479 2.27861i 1.06469 0.0823833i
\(766\) 19.3203 14.0370i 0.698070 0.507178i
\(767\) −11.7893 13.0934i −0.425688 0.472775i
\(768\) −1.58715 + 28.5216i −0.0572712 + 1.02919i
\(769\) −22.8442 + 4.85569i −0.823783 + 0.175101i −0.600471 0.799646i \(-0.705020\pi\)
−0.223312 + 0.974747i \(0.571687\pi\)
\(770\) −2.67585 + 7.68171i −0.0964309 + 0.276830i
\(771\)