Properties

Label 225.2.q.a.31.16
Level $225$
Weight $2$
Character 225.31
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 31.16
Character \(\chi\) \(=\) 225.31
Dual form 225.2.q.a.196.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.349998 - 0.388712i) q^{2} +(-0.835354 - 1.51730i) q^{3} +(0.180458 + 1.71695i) q^{4} +(-0.130882 - 2.23223i) q^{5} +(-0.882163 - 0.206338i) q^{6} +(-1.68864 - 2.92481i) q^{7} +(1.57689 + 1.14568i) q^{8} +(-1.60437 + 2.53496i) q^{9} +O(q^{10})\) \(q+(0.349998 - 0.388712i) q^{2} +(-0.835354 - 1.51730i) q^{3} +(0.180458 + 1.71695i) q^{4} +(-0.130882 - 2.23223i) q^{5} +(-0.882163 - 0.206338i) q^{6} +(-1.68864 - 2.92481i) q^{7} +(1.57689 + 1.14568i) q^{8} +(-1.60437 + 2.53496i) q^{9} +(-0.913505 - 0.730402i) q^{10} +(2.76572 - 3.07165i) q^{11} +(2.45437 - 1.70807i) q^{12} +(-3.39970 - 3.77575i) q^{13} +(-1.72793 - 0.367283i) q^{14} +(-3.27763 + 2.06329i) q^{15} +(-2.38011 + 0.505907i) q^{16} +(0.0810977 + 0.0589209i) q^{17} +(0.423842 + 1.51087i) q^{18} +(2.55513 + 1.85641i) q^{19} +(3.80901 - 0.627543i) q^{20} +(-3.02719 + 5.00542i) q^{21} +(-0.225989 - 2.15014i) q^{22} +(1.92791 + 0.409791i) q^{23} +(0.421071 - 3.34966i) q^{24} +(-4.96574 + 0.584319i) q^{25} -2.65757 q^{26} +(5.18649 + 0.316716i) q^{27} +(4.71702 - 3.42711i) q^{28} +(6.19799 + 2.75952i) q^{29} +(-0.345136 + 1.99620i) q^{30} +(2.22457 - 0.990444i) q^{31} +(-2.58553 + 4.47827i) q^{32} +(-6.97096 - 1.63051i) q^{33} +(0.0512873 - 0.0109015i) q^{34} +(-6.30785 + 4.15225i) q^{35} +(-4.64191 - 2.29716i) q^{36} +(0.930291 - 2.86314i) q^{37} +(1.61590 - 0.343471i) q^{38} +(-2.88897 + 8.31243i) q^{39} +(2.35104 - 3.66994i) q^{40} +(-3.88818 - 4.31827i) q^{41} +(0.886157 + 2.92859i) q^{42} +(5.61908 + 9.73253i) q^{43} +(5.77296 + 4.19430i) q^{44} +(5.86860 + 3.24955i) q^{45} +(0.834057 - 0.605978i) q^{46} +(8.50718 + 3.78764i) q^{47} +(2.75584 + 3.18871i) q^{48} +(-2.20301 + 3.81573i) q^{49} +(-1.51087 + 2.13475i) q^{50} +(0.0216552 - 0.172269i) q^{51} +(5.86925 - 6.51846i) q^{52} +(1.84804 - 1.34268i) q^{53} +(1.93837 - 1.90520i) q^{54} +(-7.21862 - 5.77172i) q^{55} +(0.688092 - 6.54676i) q^{56} +(0.682287 - 5.42765i) q^{57} +(3.24195 - 1.44341i) q^{58} +(5.66566 + 6.29235i) q^{59} +(-4.13404 - 5.25517i) q^{60} +(2.32441 - 2.58152i) q^{61} +(0.393599 - 1.21137i) q^{62} +(10.1235 + 0.411846i) q^{63} +(-0.668023 - 2.05596i) q^{64} +(-7.98339 + 8.08310i) q^{65} +(-3.07362 + 2.13902i) q^{66} +(-12.3948 + 5.51853i) q^{67} +(-0.0865293 + 0.149873i) q^{68} +(-0.988716 - 3.26753i) q^{69} +(-0.593706 + 3.90522i) q^{70} +(6.75154 - 4.90528i) q^{71} +(-5.43417 + 2.15926i) q^{72} +(3.28345 + 10.1054i) q^{73} +(-0.787338 - 1.36371i) q^{74} +(5.03473 + 7.04638i) q^{75} +(-2.72627 + 4.72203i) q^{76} +(-13.6543 - 2.90231i) q^{77} +(2.22001 + 4.03231i) q^{78} +(-13.1297 - 5.84572i) q^{79} +(1.44082 + 5.24674i) q^{80} +(-3.85200 - 8.13401i) q^{81} -3.03942 q^{82} +(0.648356 - 6.16870i) q^{83} +(-9.14032 - 4.29425i) q^{84} +(0.120911 - 0.188741i) q^{85} +(5.74982 + 1.22216i) q^{86} +(-0.990504 - 11.7094i) q^{87} +(7.88038 - 1.67503i) q^{88} +(-2.14728 - 6.60864i) q^{89} +(3.31714 - 1.14386i) q^{90} +(-5.30248 + 16.3193i) q^{91} +(-0.355681 + 3.38408i) q^{92} +(-3.36110 - 2.54796i) q^{93} +(4.44980 - 1.98118i) q^{94} +(3.80953 - 5.94663i) q^{95} +(8.95468 + 0.182073i) q^{96} +(-1.59492 - 0.710105i) q^{97} +(0.712171 + 2.19184i) q^{98} +(3.34925 + 11.9390i) 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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.349998 0.388712i 0.247486 0.274861i −0.606584 0.795020i \(-0.707461\pi\)
0.854070 + 0.520159i \(0.174127\pi\)
\(3\) −0.835354 1.51730i −0.482292 0.876011i
\(4\) 0.180458 + 1.71695i 0.0902292 + 0.858473i
\(5\) −0.130882 2.23223i −0.0585323 0.998286i
\(6\) −0.882163 0.206338i −0.360142 0.0842372i
\(7\) −1.68864 2.92481i −0.638246 1.10547i −0.985817 0.167821i \(-0.946327\pi\)
0.347571 0.937654i \(-0.387006\pi\)
\(8\) 1.57689 + 1.14568i 0.557516 + 0.405059i
\(9\) −1.60437 + 2.53496i −0.534790 + 0.844985i
\(10\) −0.913505 0.730402i −0.288876 0.230973i
\(11\) 2.76572 3.07165i 0.833897 0.926137i −0.164284 0.986413i \(-0.552531\pi\)
0.998182 + 0.0602761i \(0.0191981\pi\)
\(12\) 2.45437 1.70807i 0.708515 0.493076i
\(13\) −3.39970 3.77575i −0.942906 1.04720i −0.998810 0.0487673i \(-0.984471\pi\)
0.0559039 0.998436i \(-0.482196\pi\)
\(14\) −1.72793 0.367283i −0.461809 0.0981605i
\(15\) −3.27763 + 2.06329i −0.846279 + 0.532740i
\(16\) −2.38011 + 0.505907i −0.595027 + 0.126477i
\(17\) 0.0810977 + 0.0589209i 0.0196691 + 0.0142904i 0.597576 0.801812i \(-0.296130\pi\)
−0.577907 + 0.816102i \(0.696130\pi\)
\(18\) 0.423842 + 1.51087i 0.0999006 + 0.356115i
\(19\) 2.55513 + 1.85641i 0.586188 + 0.425890i 0.840950 0.541113i \(-0.181997\pi\)
−0.254762 + 0.967004i \(0.581997\pi\)
\(20\) 3.80901 0.627543i 0.851720 0.140323i
\(21\) −3.02719 + 5.00542i −0.660587 + 1.09227i
\(22\) −0.225989 2.15014i −0.0481810 0.458412i
\(23\) 1.92791 + 0.409791i 0.401998 + 0.0854473i 0.404474 0.914550i \(-0.367455\pi\)
−0.00247582 + 0.999997i \(0.500788\pi\)
\(24\) 0.421071 3.34966i 0.0859508 0.683747i
\(25\) −4.96574 + 0.584319i −0.993148 + 0.116864i
\(26\) −2.65757 −0.521192
\(27\) 5.18649 + 0.316716i 0.998141 + 0.0609520i
\(28\) 4.71702 3.42711i 0.891432 0.647663i
\(29\) 6.19799 + 2.75952i 1.15094 + 0.512431i 0.891362 0.453292i \(-0.149750\pi\)
0.259576 + 0.965723i \(0.416417\pi\)
\(30\) −0.345136 + 1.99620i −0.0630129 + 0.364455i
\(31\) 2.22457 0.990444i 0.399545 0.177889i −0.197120 0.980379i \(-0.563159\pi\)
0.596665 + 0.802490i \(0.296492\pi\)
\(32\) −2.58553 + 4.47827i −0.457061 + 0.791653i
\(33\) −6.97096 1.63051i −1.21349 0.283835i
\(34\) 0.0512873 0.0109015i 0.00879570 0.00186958i
\(35\) −6.30785 + 4.15225i −1.06622 + 0.701858i
\(36\) −4.64191 2.29716i −0.773651 0.382860i
\(37\) 0.930291 2.86314i 0.152939 0.470698i −0.845007 0.534755i \(-0.820404\pi\)
0.997946 + 0.0640571i \(0.0204040\pi\)
\(38\) 1.61590 0.343471i 0.262134 0.0557183i
\(39\) −2.88897 + 8.31243i −0.462606 + 1.33105i
\(40\) 2.35104 3.66994i 0.371732 0.580269i
\(41\) −3.88818 4.31827i −0.607232 0.674400i 0.358623 0.933483i \(-0.383246\pi\)
−0.965855 + 0.259083i \(0.916580\pi\)
\(42\) 0.886157 + 2.92859i 0.136737 + 0.451892i
\(43\) 5.61908 + 9.73253i 0.856902 + 1.48420i 0.874869 + 0.484359i \(0.160947\pi\)
−0.0179676 + 0.999839i \(0.505720\pi\)
\(44\) 5.77296 + 4.19430i 0.870306 + 0.632314i
\(45\) 5.86860 + 3.24955i 0.874839 + 0.484414i
\(46\) 0.834057 0.605978i 0.122975 0.0893465i
\(47\) 8.50718 + 3.78764i 1.24090 + 0.552484i 0.918988 0.394286i \(-0.129008\pi\)
0.321912 + 0.946770i \(0.395675\pi\)
\(48\) 2.75584 + 3.18871i 0.397771 + 0.460251i
\(49\) −2.20301 + 3.81573i −0.314716 + 0.545105i
\(50\) −1.51087 + 2.13475i −0.213669 + 0.301900i
\(51\) 0.0216552 0.172269i 0.00303233 0.0241225i
\(52\) 5.86925 6.51846i 0.813919 0.903948i
\(53\) 1.84804 1.34268i 0.253848 0.184432i −0.453582 0.891214i \(-0.649854\pi\)
0.707431 + 0.706783i \(0.249854\pi\)
\(54\) 1.93837 1.90520i 0.263779 0.259265i
\(55\) −7.21862 5.77172i −0.973359 0.778259i
\(56\) 0.688092 6.54676i 0.0919502 0.874847i
\(57\) 0.682287 5.42765i 0.0903711 0.718910i
\(58\) 3.24195 1.44341i 0.425689 0.189529i
\(59\) 5.66566 + 6.29235i 0.737606 + 0.819195i 0.988879 0.148722i \(-0.0475158\pi\)
−0.251273 + 0.967916i \(0.580849\pi\)
\(60\) −4.13404 5.25517i −0.533702 0.678439i
\(61\) 2.32441 2.58152i 0.297610 0.330530i −0.575730 0.817640i \(-0.695282\pi\)
0.873341 + 0.487110i \(0.161949\pi\)
\(62\) 0.393599 1.21137i 0.0499871 0.153844i
\(63\) 10.1235 + 0.411846i 1.27544 + 0.0518877i
\(64\) −0.668023 2.05596i −0.0835028 0.256995i
\(65\) −7.98339 + 8.08310i −0.990218 + 1.00258i
\(66\) −3.07362 + 2.13902i −0.378336 + 0.263295i
\(67\) −12.3948 + 5.51853i −1.51427 + 0.674195i −0.984730 0.174091i \(-0.944301\pi\)
−0.529538 + 0.848286i \(0.677635\pi\)
\(68\) −0.0865293 + 0.149873i −0.0104932 + 0.0181748i
\(69\) −0.988716 3.26753i −0.119027 0.393365i
\(70\) −0.593706 + 3.90522i −0.0709615 + 0.466763i
\(71\) 6.75154 4.90528i 0.801260 0.582149i −0.110024 0.993929i \(-0.535093\pi\)
0.911283 + 0.411780i \(0.135093\pi\)
\(72\) −5.43417 + 2.15926i −0.640423 + 0.254471i
\(73\) 3.28345 + 10.1054i 0.384299 + 1.18275i 0.936988 + 0.349362i \(0.113602\pi\)
−0.552689 + 0.833387i \(0.686398\pi\)
\(74\) −0.787338 1.36371i −0.0915262 0.158528i
\(75\) 5.03473 + 7.04638i 0.581361 + 0.813646i
\(76\) −2.72627 + 4.72203i −0.312724 + 0.541654i
\(77\) −13.6543 2.90231i −1.55605 0.330749i
\(78\) 2.22001 + 4.03231i 0.251366 + 0.456569i
\(79\) −13.1297 5.84572i −1.47721 0.657695i −0.499243 0.866462i \(-0.666388\pi\)
−0.977965 + 0.208767i \(0.933055\pi\)
\(80\) 1.44082 + 5.24674i 0.161088 + 0.586604i
\(81\) −3.85200 8.13401i −0.428000 0.903779i
\(82\) −3.03942 −0.335648
\(83\) 0.648356 6.16870i 0.0711664 0.677103i −0.899541 0.436837i \(-0.856099\pi\)
0.970707 0.240266i \(-0.0772346\pi\)
\(84\) −9.14032 4.29425i −0.997290 0.468542i
\(85\) 0.120911 0.188741i 0.0131146 0.0204718i
\(86\) 5.74982 + 1.22216i 0.620019 + 0.131789i
\(87\) −0.990504 11.7094i −0.106193 1.25538i
\(88\) 7.88038 1.67503i 0.840051 0.178558i
\(89\) −2.14728 6.60864i −0.227611 0.700514i −0.998016 0.0629597i \(-0.979946\pi\)
0.770405 0.637555i \(-0.220054\pi\)
\(90\) 3.31714 1.14386i 0.349657 0.120574i
\(91\) −5.30248 + 16.3193i −0.555851 + 1.71073i
\(92\) −0.355681 + 3.38408i −0.0370823 + 0.352814i
\(93\) −3.36110 2.54796i −0.348530 0.264211i
\(94\) 4.44980 1.98118i 0.458962 0.204343i
\(95\) 3.80953 5.94663i 0.390849 0.610111i
\(96\) 8.95468 + 0.182073i 0.913933 + 0.0185828i
\(97\) −1.59492 0.710105i −0.161940 0.0721002i 0.324166 0.946000i \(-0.394916\pi\)
−0.486106 + 0.873900i \(0.661583\pi\)
\(98\) 0.712171 + 2.19184i 0.0719402 + 0.221409i
\(99\) 3.34925 + 11.9390i 0.336612 + 1.19992i
\(100\) −1.89935 8.42047i −0.189935 0.842047i
\(101\) −6.20087 10.7402i −0.617010 1.06869i −0.990028 0.140868i \(-0.955011\pi\)
0.373019 0.927824i \(-0.378323\pi\)
\(102\) −0.0593837 0.0687114i −0.00587987 0.00680344i
\(103\) −0.915698 8.71228i −0.0902264 0.858447i −0.942243 0.334931i \(-0.891287\pi\)
0.852016 0.523516i \(-0.175380\pi\)
\(104\) −1.03516 9.84891i −0.101506 0.965765i
\(105\) 11.5695 + 6.10228i 1.12906 + 0.595521i
\(106\) 0.124895 1.18829i 0.0121308 0.115417i
\(107\) 3.09879 0.299571 0.149786 0.988718i \(-0.452142\pi\)
0.149786 + 0.988718i \(0.452142\pi\)
\(108\) 0.392161 + 8.96208i 0.0377357 + 0.862377i
\(109\) −0.863050 + 2.65620i −0.0826652 + 0.254417i −0.983843 0.179032i \(-0.942704\pi\)
0.901178 + 0.433449i \(0.142704\pi\)
\(110\) −4.77004 + 0.785876i −0.454806 + 0.0749303i
\(111\) −5.12135 + 0.980210i −0.486097 + 0.0930374i
\(112\) 5.49883 + 6.10707i 0.519590 + 0.577064i
\(113\) −5.57890 6.19600i −0.524819 0.582870i 0.421206 0.906965i \(-0.361607\pi\)
−0.946025 + 0.324095i \(0.894940\pi\)
\(114\) −1.87100 2.16488i −0.175235 0.202760i
\(115\) 0.662419 4.35719i 0.0617709 0.406310i
\(116\) −3.61948 + 11.1396i −0.336060 + 1.03429i
\(117\) 15.0257 2.56039i 1.38913 0.236708i
\(118\) 4.42888 0.407712
\(119\) 0.0353877 0.336692i 0.00324399 0.0308645i
\(120\) −7.53234 0.501519i −0.687605 0.0457822i
\(121\) −0.635978 6.05093i −0.0578162 0.550085i
\(122\) −0.189929 1.80705i −0.0171954 0.163603i
\(123\) −3.30407 + 9.50680i −0.297918 + 0.857199i
\(124\) 2.10198 + 3.64074i 0.188764 + 0.326948i
\(125\) 1.95426 + 11.0082i 0.174795 + 0.984605i
\(126\) 3.70328 3.79097i 0.329915 0.337727i
\(127\) 2.69804 + 8.30372i 0.239412 + 0.736836i 0.996505 + 0.0835285i \(0.0266189\pi\)
−0.757093 + 0.653307i \(0.773381\pi\)
\(128\) −10.4810 4.66643i −0.926396 0.412458i
\(129\) 10.0732 16.6559i 0.886896 1.46647i
\(130\) 0.347828 + 5.93231i 0.0305065 + 0.520298i
\(131\) 0.853198 0.379868i 0.0745443 0.0331893i −0.369126 0.929379i \(-0.620343\pi\)
0.443670 + 0.896190i \(0.353676\pi\)
\(132\) 1.54153 12.2630i 0.134173 1.06736i
\(133\) 1.11496 10.6081i 0.0966790 0.919839i
\(134\) −2.19304 + 6.74949i −0.189450 + 0.583067i
\(135\) 0.0281650 11.6189i 0.00242406 0.999997i
\(136\) 0.0603779 + 0.185824i 0.00517736 + 0.0159343i
\(137\) −6.06883 + 1.28997i −0.518495 + 0.110210i −0.459724 0.888062i \(-0.652052\pi\)
−0.0587713 + 0.998271i \(0.518718\pi\)
\(138\) −1.61618 0.759304i −0.137578 0.0646363i
\(139\) 5.58874 + 1.18792i 0.474031 + 0.100758i 0.438731 0.898618i \(-0.355428\pi\)
0.0352997 + 0.999377i \(0.488761\pi\)
\(140\) −8.26749 10.0809i −0.698731 0.851995i
\(141\) −1.35954 16.0719i −0.114494 1.35350i
\(142\) 0.456283 4.34124i 0.0382904 0.364309i
\(143\) −21.0004 −1.75614
\(144\) 2.53612 6.84513i 0.211343 0.570427i
\(145\) 5.34870 14.1965i 0.444185 1.17896i
\(146\) 5.07730 + 2.26056i 0.420200 + 0.187085i
\(147\) 7.62989 + 0.155137i 0.629303 + 0.0127954i
\(148\) 5.08374 + 1.08058i 0.417881 + 0.0888234i
\(149\) −10.5541 + 18.2802i −0.864623 + 1.49757i 0.00279771 + 0.999996i \(0.499109\pi\)
−0.867421 + 0.497575i \(0.834224\pi\)
\(150\) 4.50116 + 0.509156i 0.367518 + 0.0415725i
\(151\) 8.84475 + 15.3196i 0.719776 + 1.24669i 0.961088 + 0.276241i \(0.0890888\pi\)
−0.241313 + 0.970447i \(0.577578\pi\)
\(152\) 1.90232 + 5.85473i 0.154298 + 0.474882i
\(153\) −0.279472 + 0.111048i −0.0225940 + 0.00897771i
\(154\) −5.90715 + 4.29179i −0.476011 + 0.345843i
\(155\) −2.50206 4.83614i −0.200970 0.388448i
\(156\) −14.7933 3.46016i −1.18441 0.277035i
\(157\) 0.489023 0.847013i 0.0390283 0.0675990i −0.845851 0.533419i \(-0.820907\pi\)
0.884880 + 0.465820i \(0.154240\pi\)
\(158\) −6.86768 + 3.05769i −0.546363 + 0.243257i
\(159\) −3.58102 1.68241i −0.283993 0.133424i
\(160\) 10.3349 + 5.18538i 0.817049 + 0.409940i
\(161\) −2.05699 6.33077i −0.162114 0.498935i
\(162\) −4.50998 1.34957i −0.354338 0.106032i
\(163\) 3.86004 11.8800i 0.302341 0.930511i −0.678314 0.734772i \(-0.737289\pi\)
0.980656 0.195740i \(-0.0627107\pi\)
\(164\) 6.71258 7.45507i 0.524164 0.582143i
\(165\) −2.72730 + 15.7742i −0.212320 + 1.22802i
\(166\) −2.17093 2.41106i −0.168496 0.187134i
\(167\) 17.9693 8.00045i 1.39051 0.619094i 0.431406 0.902158i \(-0.358018\pi\)
0.959101 + 0.283064i \(0.0913509\pi\)
\(168\) −10.5082 + 4.42482i −0.810722 + 0.341382i
\(169\) −1.33945 + 12.7440i −0.103034 + 0.980307i
\(170\) −0.0310472 0.113058i −0.00238121 0.00867119i
\(171\) −8.80530 + 3.49878i −0.673358 + 0.267558i
\(172\) −15.6962 + 11.4040i −1.19683 + 0.869545i
\(173\) 2.53963 2.82054i 0.193084 0.214442i −0.638827 0.769350i \(-0.720580\pi\)
0.831911 + 0.554908i \(0.187247\pi\)
\(174\) −4.89825 3.71323i −0.371335 0.281500i
\(175\) 10.0944 + 13.5371i 0.763063 + 1.02331i
\(176\) −5.02875 + 8.71005i −0.379056 + 0.656545i
\(177\) 4.81453 13.8528i 0.361882 1.04124i
\(178\) −3.32040 1.47834i −0.248875 0.110806i
\(179\) 3.68369 2.67636i 0.275332 0.200040i −0.441547 0.897238i \(-0.645570\pi\)
0.716879 + 0.697198i \(0.245570\pi\)
\(180\) −4.52026 + 10.6625i −0.336920 + 0.794734i
\(181\) 15.5083 + 11.2674i 1.15272 + 0.837501i 0.988840 0.148979i \(-0.0475988\pi\)
0.163881 + 0.986480i \(0.447599\pi\)
\(182\) 4.48767 + 7.77288i 0.332648 + 0.576164i
\(183\) −5.85863 1.37033i −0.433082 0.101298i
\(184\) 2.57063 + 2.85497i 0.189509 + 0.210471i
\(185\) −6.51296 1.70189i −0.478843 0.125126i
\(186\) −2.16680 + 0.414719i −0.158878 + 0.0304087i
\(187\) 0.405278 0.0861445i 0.0296369 0.00629951i
\(188\) −4.96798 + 15.2899i −0.362328 + 1.11513i
\(189\) −7.83179 15.7043i −0.569679 1.14232i
\(190\) −0.978200 3.56212i −0.0709661 0.258423i
\(191\) 17.1993 3.65583i 1.24450 0.264526i 0.461832 0.886968i \(-0.347192\pi\)
0.782666 + 0.622441i \(0.213859\pi\)
\(192\) −2.56147 + 2.73104i −0.184858 + 0.197096i
\(193\) −9.88753 + 17.1257i −0.711720 + 1.23273i 0.252491 + 0.967599i \(0.418750\pi\)
−0.964211 + 0.265136i \(0.914583\pi\)
\(194\) −0.834246 + 0.371430i −0.0598954 + 0.0266671i
\(195\) 18.9334 + 5.36091i 1.35585 + 0.383903i
\(196\) −6.94896 3.09388i −0.496354 0.220991i
\(197\) 0.487820 0.354422i 0.0347558 0.0252515i −0.570272 0.821456i \(-0.693162\pi\)
0.605028 + 0.796205i \(0.293162\pi\)
\(198\) 5.81309 + 2.87675i 0.413118 + 0.204442i
\(199\) −18.7806 −1.33132 −0.665659 0.746256i \(-0.731850\pi\)
−0.665659 + 0.746256i \(0.731850\pi\)
\(200\) −8.49989 4.76774i −0.601033 0.337130i
\(201\) 18.7273 + 14.1967i 1.32092 + 1.00136i
\(202\) −6.34515 1.34870i −0.446443 0.0948944i
\(203\) −2.39510 22.7878i −0.168103 1.59939i
\(204\) 0.299684 + 0.00609340i 0.0209821 + 0.000426624i
\(205\) −9.13049 + 9.24452i −0.637701 + 0.645665i
\(206\) −3.70706 2.69334i −0.258283 0.187654i
\(207\) −4.13189 + 4.22972i −0.287186 + 0.293986i
\(208\) 10.0018 + 7.26675i 0.693501 + 0.503858i
\(209\) 12.7690 2.71414i 0.883254 0.187741i
\(210\) 6.42132 2.36141i 0.443113 0.162953i
\(211\) 16.2367 + 3.45121i 1.11778 + 0.237591i 0.729520 0.683959i \(-0.239743\pi\)
0.388259 + 0.921550i \(0.373077\pi\)
\(212\) 2.63881 + 2.93069i 0.181234 + 0.201281i
\(213\) −13.0827 6.14643i −0.896410 0.421146i
\(214\) 1.08457 1.20454i 0.0741397 0.0823405i
\(215\) 20.9899 13.8169i 1.43150 0.942306i
\(216\) 7.81569 + 6.44149i 0.531790 + 0.438288i
\(217\) −6.65336 4.83395i −0.451660 0.328150i
\(218\) 0.730430 + 1.26514i 0.0494709 + 0.0856862i
\(219\) 12.5901 13.4236i 0.850757 0.907080i
\(220\) 8.60708 13.4355i 0.580289 0.905824i
\(221\) −0.0532371 0.506517i −0.00358112 0.0340720i
\(222\) −1.41144 + 2.33380i −0.0947299 + 0.156635i
\(223\) 1.96044 2.17729i 0.131281 0.145802i −0.673920 0.738804i \(-0.735391\pi\)
0.805201 + 0.593002i \(0.202057\pi\)
\(224\) 17.4641 1.16687
\(225\) 6.48565 13.5254i 0.432377 0.901693i
\(226\) −4.36106 −0.290094
\(227\) −14.7974 + 16.4341i −0.982135 + 1.09077i 0.0137281 + 0.999906i \(0.495630\pi\)
−0.995863 + 0.0908658i \(0.971037\pi\)
\(228\) 9.44212 + 0.191984i 0.625319 + 0.0127145i
\(229\) 1.89375 + 18.0179i 0.125143 + 1.19065i 0.859226 + 0.511595i \(0.170945\pi\)
−0.734084 + 0.679059i \(0.762388\pi\)
\(230\) −1.46185 1.78250i −0.0963914 0.117534i
\(231\) 7.00251 + 23.1421i 0.460731 + 1.52264i
\(232\) 6.61204 + 11.4524i 0.434102 + 0.751887i
\(233\) 6.92161 + 5.02884i 0.453450 + 0.329450i 0.790956 0.611873i \(-0.209584\pi\)
−0.337507 + 0.941323i \(0.609584\pi\)
\(234\) 4.26372 6.73681i 0.278728 0.440399i
\(235\) 7.34146 19.4858i 0.478904 1.27111i
\(236\) −9.78122 + 10.8631i −0.636703 + 0.707131i
\(237\) 2.09826 + 24.8049i 0.136297 + 1.61125i
\(238\) −0.118490 0.131597i −0.00768060 0.00853017i
\(239\) 20.8239 + 4.42625i 1.34698 + 0.286310i 0.824269 0.566198i \(-0.191586\pi\)
0.522714 + 0.852508i \(0.324920\pi\)
\(240\) 6.75726 6.56903i 0.436179 0.424029i
\(241\) −2.78868 + 0.592751i −0.179634 + 0.0381825i −0.296851 0.954924i \(-0.595936\pi\)
0.117216 + 0.993106i \(0.462603\pi\)
\(242\) −2.57466 1.87060i −0.165506 0.120247i
\(243\) −9.12390 + 12.6394i −0.585299 + 0.810818i
\(244\) 4.85179 + 3.52503i 0.310604 + 0.225667i
\(245\) 8.80594 + 4.41823i 0.562591 + 0.282271i
\(246\) 2.53899 + 4.61170i 0.161880 + 0.294031i
\(247\) −1.67734 15.9588i −0.106726 1.01543i
\(248\) 4.64265 + 0.986825i 0.294808 + 0.0626634i
\(249\) −9.90134 + 4.16930i −0.627472 + 0.264218i
\(250\) 4.96302 + 3.09321i 0.313889 + 0.195632i
\(251\) 1.54809 0.0977144 0.0488572 0.998806i \(-0.484442\pi\)
0.0488572 + 0.998806i \(0.484442\pi\)
\(252\) 1.11975 + 17.4558i 0.0705374 + 1.09961i
\(253\) 6.59081 4.78851i 0.414361 0.301051i
\(254\) 4.17206 + 1.85752i 0.261779 + 0.116551i
\(255\) −0.387379 0.0257925i −0.0242586 0.00161519i
\(256\) −1.53247 + 0.682301i −0.0957796 + 0.0426438i
\(257\) −5.00583 + 8.67035i −0.312255 + 0.540842i −0.978850 0.204578i \(-0.934418\pi\)
0.666595 + 0.745420i \(0.267751\pi\)
\(258\) −2.94875 9.74511i −0.183581 0.606704i
\(259\) −9.94508 + 2.11389i −0.617957 + 0.131351i
\(260\) −15.3189 12.2484i −0.950039 0.759613i
\(261\) −16.9391 + 11.2843i −1.04851 + 0.698484i
\(262\) 0.150958 0.464602i 0.00932623 0.0287032i
\(263\) −14.1384 + 3.00521i −0.871811 + 0.185309i −0.622030 0.782993i \(-0.713692\pi\)
−0.249781 + 0.968302i \(0.580359\pi\)
\(264\) −9.12441 10.5576i −0.561569 0.649777i
\(265\) −3.23906 3.94953i −0.198974 0.242618i
\(266\) −3.73327 4.14621i −0.228901 0.254221i
\(267\) −8.23352 + 8.77860i −0.503883 + 0.537242i
\(268\) −11.7118 20.2854i −0.715410 1.23913i
\(269\) −24.3691 17.7052i −1.48581 1.07951i −0.975626 0.219442i \(-0.929576\pi\)
−0.510187 0.860064i \(-0.670424\pi\)
\(270\) −4.50656 4.07755i −0.274260 0.248152i
\(271\) −7.60294 + 5.52386i −0.461846 + 0.335551i −0.794255 0.607585i \(-0.792139\pi\)
0.332409 + 0.943135i \(0.392139\pi\)
\(272\) −0.222830 0.0992101i −0.0135110 0.00601550i
\(273\) 29.1907 5.58700i 1.76670 0.338141i
\(274\) −1.62265 + 2.81051i −0.0980280 + 0.169789i
\(275\) −11.9390 + 16.8691i −0.719952 + 1.01724i
\(276\) 5.43176 2.28723i 0.326954 0.137675i
\(277\) 6.85333 7.61140i 0.411777 0.457324i −0.501203 0.865330i \(-0.667109\pi\)
0.912980 + 0.408005i \(0.133776\pi\)
\(278\) 2.41781 1.75664i 0.145011 0.105356i
\(279\) −1.05830 + 7.22823i −0.0633590 + 0.432743i
\(280\) −14.7040 0.679129i −0.878729 0.0405857i
\(281\) −0.158141 + 1.50461i −0.00943389 + 0.0897575i −0.998226 0.0595432i \(-0.981036\pi\)
0.988792 + 0.149301i \(0.0477022\pi\)
\(282\) −6.72319 5.09667i −0.400360 0.303502i
\(283\) −21.7756 + 9.69511i −1.29442 + 0.576315i −0.934266 0.356577i \(-0.883944\pi\)
−0.360158 + 0.932891i \(0.617277\pi\)
\(284\) 9.64047 + 10.7068i 0.572057 + 0.635333i
\(285\) −12.2051 0.812640i −0.722967 0.0481367i
\(286\) −7.35010 + 8.16311i −0.434620 + 0.482695i
\(287\) −6.06437 + 18.6642i −0.357968 + 1.10171i
\(288\) −7.20407 13.7390i −0.424504 0.809578i
\(289\) −5.25018 16.1584i −0.308834 0.950494i
\(290\) −3.64634 7.04787i −0.214120 0.413865i
\(291\) 0.254885 + 3.01316i 0.0149416 + 0.176634i
\(292\) −16.7579 + 7.46111i −0.980684 + 0.436629i
\(293\) −0.224026 + 0.388025i −0.0130878 + 0.0226687i −0.872495 0.488623i \(-0.837499\pi\)
0.859407 + 0.511292i \(0.170833\pi\)
\(294\) 2.73075 2.91153i 0.159261 0.169804i
\(295\) 13.3045 13.4706i 0.774616 0.784291i
\(296\) 4.74722 3.44905i 0.275926 0.200472i
\(297\) 15.3172 15.0551i 0.888797 0.873587i
\(298\) 3.41183 + 10.5005i 0.197642 + 0.608279i
\(299\) −5.00706 8.67248i −0.289566 0.501542i
\(300\) −11.1897 + 9.91595i −0.646038 + 0.572498i
\(301\) 18.9772 32.8695i 1.09383 1.89457i
\(302\) 9.05055 + 1.92375i 0.520801 + 0.110700i
\(303\) −11.1162 + 18.3804i −0.638607 + 1.05593i
\(304\) −7.02066 3.12580i −0.402663 0.179277i
\(305\) −6.06678 4.85075i −0.347383 0.277753i
\(306\) −0.0546490 + 0.147501i −0.00312408 + 0.00843207i
\(307\) 5.99405 0.342099 0.171049 0.985262i \(-0.445284\pi\)
0.171049 + 0.985262i \(0.445284\pi\)
\(308\) 2.51908 23.9675i 0.143538 1.36567i
\(309\) −12.4542 + 8.66722i −0.708493 + 0.493061i
\(310\) −2.75558 0.720057i −0.156506 0.0408965i
\(311\) 21.7763 + 4.62870i 1.23482 + 0.262469i 0.778671 0.627433i \(-0.215894\pi\)
0.456151 + 0.889902i \(0.349228\pi\)
\(312\) −14.0790 + 9.79797i −0.797065 + 0.554701i
\(313\) −3.43837 + 0.730848i −0.194348 + 0.0413099i −0.304057 0.952654i \(-0.598341\pi\)
0.109709 + 0.993964i \(0.465008\pi\)
\(314\) −0.158087 0.486542i −0.00892137 0.0274572i
\(315\) −0.405645 22.6519i −0.0228555 1.27629i
\(316\) 7.66743 23.5979i 0.431327 1.32749i
\(317\) −0.430998 + 4.10067i −0.0242072 + 0.230317i 0.975729 + 0.218984i \(0.0702741\pi\)
−0.999936 + 0.0113329i \(0.996393\pi\)
\(318\) −1.90732 + 0.803143i −0.106957 + 0.0450380i
\(319\) 25.6182 11.4060i 1.43435 0.638612i
\(320\) −4.50196 + 1.76027i −0.251667 + 0.0984022i
\(321\) −2.58859 4.70178i −0.144481 0.262428i
\(322\) −3.18079 1.41618i −0.177259 0.0789206i
\(323\) 0.0978338 + 0.301102i 0.00544362 + 0.0167537i
\(324\) 13.2705 8.08153i 0.737252 0.448974i
\(325\) 19.0883 + 16.7629i 1.05883 + 0.929836i
\(326\) −3.26689 5.65841i −0.180936 0.313390i
\(327\) 4.75118 0.909361i 0.262741 0.0502878i
\(328\) −1.18390 11.2641i −0.0653700 0.621954i
\(329\) −3.28744 31.2779i −0.181242 1.72440i
\(330\) 5.17708 + 6.58108i 0.284989 + 0.362276i
\(331\) −1.64139 + 15.6168i −0.0902192 + 0.858378i 0.852036 + 0.523483i \(0.175368\pi\)
−0.942255 + 0.334895i \(0.891299\pi\)
\(332\) 10.7083 0.587696
\(333\) 5.76541 + 6.95178i 0.315942 + 0.380955i
\(334\) 3.17935 9.78504i 0.173966 0.535413i
\(335\) 13.9409 + 26.9459i 0.761673 + 1.47221i
\(336\) 4.67276 13.4449i 0.254920 0.733480i
\(337\) −17.3925 19.3164i −0.947432 1.05223i −0.998566 0.0535378i \(-0.982950\pi\)
0.0511340 0.998692i \(-0.483716\pi\)
\(338\) 4.48494 + 4.98103i 0.243949 + 0.270933i
\(339\) −4.74080 + 13.6407i −0.257485 + 0.740860i
\(340\) 0.345877 + 0.173538i 0.0187578 + 0.00941142i
\(341\) 3.11026 9.57240i 0.168430 0.518375i
\(342\) −1.72182 + 4.64730i −0.0931054 + 0.251297i
\(343\) −8.76057 −0.473026
\(344\) −2.28968 + 21.7848i −0.123451 + 1.17456i
\(345\) −7.16450 + 2.63471i −0.385724 + 0.141848i
\(346\) −0.207515 1.97437i −0.0111561 0.106143i
\(347\) 1.28335 + 12.2103i 0.0688939 + 0.655482i 0.973414 + 0.229051i \(0.0735624\pi\)
−0.904520 + 0.426430i \(0.859771\pi\)
\(348\) 19.9256 3.81370i 1.06812 0.204436i
\(349\) −12.3258 21.3489i −0.659784 1.14278i −0.980671 0.195662i \(-0.937314\pi\)
0.320888 0.947117i \(-0.396019\pi\)
\(350\) 8.79507 + 0.814168i 0.470116 + 0.0435191i
\(351\) −16.4367 20.6596i −0.877324 1.10273i
\(352\) 6.60480 + 20.3275i 0.352037 + 1.08346i
\(353\) 23.3008 + 10.3742i 1.24018 + 0.552162i 0.918775 0.394781i \(-0.129179\pi\)
0.321401 + 0.946943i \(0.395846\pi\)
\(354\) −3.69968 6.71992i −0.196636 0.357160i
\(355\) −11.8334 14.4290i −0.628051 0.765812i
\(356\) 10.9592 4.87934i 0.580836 0.258605i
\(357\) −0.540422 + 0.227563i −0.0286021 + 0.0120439i
\(358\) 0.248951 2.36861i 0.0131575 0.125185i
\(359\) 2.79781 8.61076i 0.147663 0.454459i −0.849681 0.527297i \(-0.823206\pi\)
0.997344 + 0.0728380i \(0.0232056\pi\)
\(360\) 5.53121 + 11.8477i 0.291521 + 0.624430i
\(361\) −2.78888 8.58330i −0.146783 0.451753i
\(362\) 9.80765 2.08468i 0.515479 0.109568i
\(363\) −8.64978 + 6.01963i −0.453996 + 0.315949i
\(364\) −28.9763 6.15911i −1.51877 0.322825i
\(365\) 22.1279 8.65204i 1.15823 0.452869i
\(366\) −2.58318 + 1.79771i −0.135025 + 0.0939676i
\(367\) 2.47023 23.5027i 0.128945 1.22683i −0.718341 0.695691i \(-0.755098\pi\)
0.847286 0.531137i \(-0.178235\pi\)
\(368\) −4.79596 −0.250007
\(369\) 17.1847 2.92828i 0.894599 0.152440i
\(370\) −2.94107 + 1.93601i −0.152899 + 0.100648i
\(371\) −7.04777 3.13787i −0.365902 0.162910i
\(372\) 3.76818 6.23063i 0.195371 0.323043i
\(373\) 1.61169 + 0.342575i 0.0834500 + 0.0177378i 0.249447 0.968388i \(-0.419751\pi\)
−0.165997 + 0.986126i \(0.553084\pi\)
\(374\) 0.108361 0.187687i 0.00560322 0.00970506i
\(375\) 15.0702 12.1610i 0.778222 0.627989i
\(376\) 9.07549 + 15.7192i 0.468033 + 0.810656i
\(377\) −10.6520 32.7836i −0.548608 1.68844i
\(378\) −8.84557 2.45217i −0.454967 0.126126i
\(379\) 17.3280 12.5895i 0.890077 0.646679i −0.0458208 0.998950i \(-0.514590\pi\)
0.935898 + 0.352271i \(0.114590\pi\)
\(380\) 10.8975 + 5.46764i 0.559030 + 0.280484i
\(381\) 10.3454 11.0303i 0.530009 0.565097i
\(382\) 4.59866 7.96511i 0.235288 0.407531i
\(383\) −10.3862 + 4.62425i −0.530712 + 0.236288i −0.654556 0.756013i \(-0.727144\pi\)
0.123844 + 0.992302i \(0.460478\pi\)
\(384\) 1.67497 + 19.8008i 0.0854753 + 1.01046i
\(385\) −4.69154 + 30.8595i −0.239103 + 1.57274i
\(386\) 3.19635 + 9.83736i 0.162690 + 0.500709i
\(387\) −33.6866 1.37045i −1.71239 0.0696639i
\(388\) 0.931395 2.86654i 0.0472844 0.145527i
\(389\) −9.72454 + 10.8002i −0.493054 + 0.547592i −0.937396 0.348265i \(-0.886771\pi\)
0.444342 + 0.895857i \(0.353437\pi\)
\(390\) 8.71050 5.48333i 0.441074 0.277659i
\(391\) 0.132204 + 0.146827i 0.00668585 + 0.00742538i
\(392\) −7.84553 + 3.49305i −0.396259 + 0.176426i
\(393\) −1.28909 0.977229i −0.0650262 0.0492947i
\(394\) 0.0329679 0.313669i 0.00166090 0.0158024i
\(395\) −11.3306 + 30.0737i −0.570103 + 1.51317i
\(396\) −19.8943 + 7.90499i −0.999727 + 0.397241i
\(397\) −22.7814 + 16.5516i −1.14336 + 0.830703i −0.987584 0.157089i \(-0.949789\pi\)
−0.155780 + 0.987792i \(0.549789\pi\)
\(398\) −6.57316 + 7.30023i −0.329483 + 0.365928i
\(399\) −17.0270 + 7.16980i −0.852416 + 0.358939i
\(400\) 11.5234 3.90295i 0.576169 0.195147i
\(401\) −4.58244 + 7.93701i −0.228836 + 0.396356i −0.957463 0.288555i \(-0.906825\pi\)
0.728627 + 0.684910i \(0.240159\pi\)
\(402\) 12.0729 2.31072i 0.602143 0.115248i
\(403\) −11.3025 5.03221i −0.563019 0.250672i
\(404\) 17.3214 12.5847i 0.861772 0.626114i
\(405\) −17.6529 + 9.66317i −0.877177 + 0.480167i
\(406\) −9.69618 7.04469i −0.481213 0.349622i
\(407\) −6.22164 10.7762i −0.308395 0.534156i
\(408\) 0.231513 0.246840i 0.0114616 0.0122204i
\(409\) 10.7270 + 11.9135i 0.530416 + 0.589086i 0.947490 0.319786i \(-0.103611\pi\)
−0.417074 + 0.908872i \(0.636944\pi\)
\(410\) 0.397806 + 6.78470i 0.0196462 + 0.335072i
\(411\) 7.02688 + 8.13062i 0.346611 + 0.401054i
\(412\) 14.7933 3.14441i 0.728813 0.154914i
\(413\) 8.83668 27.1965i 0.434825 1.33825i
\(414\) 0.197992 + 3.08651i 0.00973079 + 0.151694i
\(415\) −13.8548 0.639911i −0.680107 0.0314120i
\(416\) 25.6988 5.46245i 1.25999 0.267819i
\(417\) −2.86614 9.47210i −0.140356 0.463851i
\(418\) 3.41412 5.91343i 0.166990 0.289235i
\(419\) −26.9841 + 12.0141i −1.31826 + 0.586927i −0.940757 0.339082i \(-0.889884\pi\)
−0.377503 + 0.926009i \(0.623217\pi\)
\(420\) −8.38948 + 20.9654i −0.409365 + 1.02301i
\(421\) 24.5088 + 10.9120i 1.19449 + 0.531820i 0.905020 0.425368i \(-0.139855\pi\)
0.289466 + 0.957188i \(0.406522\pi\)
\(422\) 7.02433 5.10348i 0.341939 0.248433i
\(423\) −23.2502 + 15.4886i −1.13046 + 0.753079i
\(424\) 4.45245 0.216230
\(425\) −0.437138 0.245199i −0.0212043 0.0118939i
\(426\) −6.96810 + 2.93416i −0.337606 + 0.142160i
\(427\) −11.4755 2.43920i −0.555341 0.118041i
\(428\) 0.559203 + 5.32046i 0.0270301 + 0.257174i
\(429\) 17.5428 + 31.8638i 0.846972 + 1.53840i
\(430\) 1.97560 12.9949i 0.0952721 0.626670i
\(431\) 7.77127 + 5.64616i 0.374329 + 0.271966i 0.759004 0.651086i \(-0.225686\pi\)
−0.384675 + 0.923052i \(0.625686\pi\)
\(432\) −12.5046 + 1.87007i −0.601629 + 0.0899736i
\(433\) 10.7896 + 7.83912i 0.518516 + 0.376724i 0.816045 0.577989i \(-0.196162\pi\)
−0.297529 + 0.954713i \(0.596162\pi\)
\(434\) −4.20768 + 0.894370i −0.201975 + 0.0429311i
\(435\) −26.0084 + 3.74358i −1.24701 + 0.179491i
\(436\) −4.71629 1.00248i −0.225869 0.0480100i
\(437\) 4.16534 + 4.62608i 0.199255 + 0.221295i
\(438\) −0.811405 9.59213i −0.0387704 0.458329i
\(439\) −4.88122 + 5.42114i −0.232968 + 0.258737i −0.848282 0.529545i \(-0.822363\pi\)
0.615314 + 0.788282i \(0.289029\pi\)
\(440\) −4.77045 17.3716i −0.227422 0.828160i
\(441\) −6.13827 11.7064i −0.292298 0.557447i
\(442\) −0.215522 0.156586i −0.0102514 0.00744804i
\(443\) −5.86605 10.1603i −0.278704 0.482730i 0.692359 0.721554i \(-0.256572\pi\)
−0.971063 + 0.238823i \(0.923238\pi\)
\(444\) −2.60716 8.61621i −0.123730 0.408907i
\(445\) −14.4710 + 5.65818i −0.685991 + 0.268223i
\(446\) −0.160189 1.52410i −0.00758517 0.0721680i
\(447\) 36.5528 + 0.743219i 1.72889 + 0.0351531i
\(448\) −4.88525 + 5.42562i −0.230806 + 0.256337i
\(449\) −11.6170 −0.548239 −0.274120 0.961696i \(-0.588386\pi\)
−0.274120 + 0.961696i \(0.588386\pi\)
\(450\) −2.98752 7.25491i −0.140833 0.342000i
\(451\) −24.0178 −1.13096
\(452\) 9.63144 10.6968i 0.453025 0.503135i
\(453\) 15.8558 26.2174i 0.744970 1.23180i
\(454\) 1.20910 + 11.5038i 0.0567459 + 0.539901i
\(455\) 37.1226 + 9.70046i 1.74033 + 0.454765i
\(456\) 7.29425 7.77715i 0.341584 0.364198i
\(457\) 5.87515 + 10.1761i 0.274828 + 0.476016i 0.970092 0.242739i \(-0.0780457\pi\)
−0.695264 + 0.718755i \(0.744712\pi\)
\(458\) 7.66658 + 5.57009i 0.358236 + 0.260273i
\(459\) 0.401951 + 0.331278i 0.0187615 + 0.0154627i
\(460\) 7.60060 + 0.351047i 0.354380 + 0.0163677i
\(461\) −16.8831 + 18.7506i −0.786324 + 0.873301i −0.994494 0.104791i \(-0.966582\pi\)
0.208170 + 0.978093i \(0.433249\pi\)
\(462\) 11.4465 + 5.37772i 0.532538 + 0.250194i
\(463\) 13.7694 + 15.2924i 0.639917 + 0.710699i 0.972638 0.232326i \(-0.0746336\pi\)
−0.332722 + 0.943025i \(0.607967\pi\)
\(464\) −16.1480 3.43235i −0.749650 0.159343i
\(465\) −5.24774 + 7.83625i −0.243358 + 0.363397i
\(466\) 4.37732 0.930428i 0.202776 0.0431013i
\(467\) 9.19766 + 6.68249i 0.425617 + 0.309229i 0.779894 0.625912i \(-0.215273\pi\)
−0.354277 + 0.935141i \(0.615273\pi\)
\(468\) 7.10758 + 25.3363i 0.328548 + 1.17117i
\(469\) 37.0710 + 26.9337i 1.71178 + 1.24368i
\(470\) −5.00485 9.67369i −0.230857 0.446214i
\(471\) −1.69368 0.0344371i −0.0780405 0.00158678i
\(472\) 1.72512 + 16.4134i 0.0794050 + 0.755488i
\(473\) 45.4358 + 9.65767i 2.08914 + 0.444060i
\(474\) 10.3764 + 7.86604i 0.476602 + 0.361299i
\(475\) −13.7729 7.72545i −0.631943 0.354468i
\(476\) 0.584467 0.0267890
\(477\) 0.438697 + 6.83887i 0.0200866 + 0.313130i
\(478\) 9.00885 6.54531i 0.412055 0.299375i
\(479\) −38.5201 17.1502i −1.76003 0.783614i −0.989200 0.146569i \(-0.953177\pi\)
−0.770826 0.637045i \(-0.780156\pi\)
\(480\) −0.765578 20.0128i −0.0349437 0.913454i
\(481\) −13.9732 + 6.22127i −0.637123 + 0.283666i
\(482\) −0.745621 + 1.29145i −0.0339621 + 0.0588241i
\(483\) −7.88733 + 8.40950i −0.358886 + 0.382645i
\(484\) 10.2744 2.18388i 0.467016 0.0992674i
\(485\) −1.37637 + 3.65318i −0.0624979 + 0.165882i
\(486\) 1.71974 + 7.97034i 0.0780090 + 0.361542i
\(487\) 5.00668 15.4090i 0.226874 0.698248i −0.771221 0.636567i \(-0.780354\pi\)
0.998096 0.0616809i \(-0.0196461\pi\)
\(488\) 6.62294 1.40775i 0.299806 0.0637258i
\(489\) −21.2499 + 4.06716i −0.960955 + 0.183923i
\(490\) 4.79948 1.87661i 0.216819 0.0847764i
\(491\) 2.59049 + 2.87703i 0.116907 + 0.129838i 0.798757 0.601653i \(-0.205491\pi\)
−0.681850 + 0.731492i \(0.738824\pi\)
\(492\) −16.9189 3.95734i −0.762764 0.178411i
\(493\) 0.340049 + 0.588982i 0.0153150 + 0.0265264i
\(494\) −6.79044 4.93354i −0.305516 0.221971i
\(495\) 26.2124 9.03892i 1.17816 0.406269i
\(496\) −4.79365 + 3.48279i −0.215241 + 0.156382i
\(497\) −25.7479 11.4637i −1.15495 0.514218i
\(498\) −1.84479 + 5.30802i −0.0826672 + 0.237858i
\(499\) −5.14142 + 8.90521i −0.230162 + 0.398652i −0.957856 0.287250i \(-0.907259\pi\)
0.727694 + 0.685902i \(0.240592\pi\)
\(500\) −18.5479 + 5.34189i −0.829486 + 0.238897i
\(501\) −27.1498 20.5815i −1.21296 0.919516i
\(502\) 0.541828 0.601761i 0.0241830 0.0268579i
\(503\) 16.4188 11.9290i 0.732078 0.531886i −0.158142 0.987416i \(-0.550550\pi\)
0.890220 + 0.455531i \(0.150550\pi\)
\(504\) 15.4918 + 12.2477i 0.690059 + 0.545556i
\(505\) −23.1631 + 15.2475i −1.03075 + 0.678505i
\(506\) 0.445421 4.23790i 0.0198014 0.188397i
\(507\) 20.4553 8.61341i 0.908452 0.382535i
\(508\) −13.7702 + 6.13087i −0.610952 + 0.272013i
\(509\) 24.7800 + 27.5210i 1.09835 + 1.21985i 0.973745 + 0.227640i \(0.0731008\pi\)
0.124608 + 0.992206i \(0.460233\pi\)
\(510\) −0.145608 + 0.141552i −0.00644762 + 0.00626801i
\(511\) 24.0119 26.6679i 1.06222 1.17972i
\(512\) 6.81947 20.9882i 0.301381 0.927555i
\(513\) 12.6642 + 10.4375i 0.559139 + 0.460828i
\(514\) 1.61824 + 4.98044i 0.0713776 + 0.219678i
\(515\) −19.3280 + 3.18434i −0.851694 + 0.140319i
\(516\) 30.4151 + 14.2895i 1.33895 + 0.629058i
\(517\) 35.1628 15.6555i 1.54646 0.688528i
\(518\) −2.65906 + 4.60563i −0.116833 + 0.202360i
\(519\) −6.40109 1.49722i −0.280977 0.0657205i
\(520\) −21.8496 + 3.59977i −0.958168 + 0.157860i
\(521\) −11.4682 + 8.33217i −0.502433 + 0.365039i −0.809946 0.586505i \(-0.800503\pi\)
0.307513 + 0.951544i \(0.400503\pi\)
\(522\) −1.54230 + 10.5340i −0.0675048 + 0.461059i
\(523\) −3.47821 10.7048i −0.152092 0.468090i 0.845763 0.533559i \(-0.179146\pi\)
−0.997855 + 0.0654688i \(0.979146\pi\)
\(524\) 0.806181 + 1.39635i 0.0352182 + 0.0609996i
\(525\) 12.1075 26.6244i 0.528413 1.16199i
\(526\) −3.78025 + 6.54759i −0.164827 + 0.285488i
\(527\) 0.238765 + 0.0507512i 0.0104008 + 0.00221076i
\(528\) 17.4165 + 0.354125i 0.757956 + 0.0154113i
\(529\) −17.4626 7.77486i −0.759244 0.338037i
\(530\) −2.66890 0.123268i −0.115929 0.00535441i
\(531\) −25.0406 + 4.26694i −1.08667 + 0.185170i
\(532\) 18.4147 0.798381
\(533\) −3.08603 + 29.3616i −0.133671 + 1.27179i
\(534\) 0.530634 + 6.27296i 0.0229628 + 0.271458i
\(535\) −0.405577 6.91723i −0.0175346 0.299058i
\(536\) −25.8678 5.49836i −1.11732 0.237493i
\(537\) −7.13800 3.35354i −0.308028 0.144716i
\(538\) −15.4114 + 3.27579i −0.664432 + 0.141229i
\(539\) 5.62766 + 17.3202i 0.242400 + 0.746032i
\(540\) 19.9541 2.04837i 0.858690 0.0881479i
\(541\) −4.62861 + 14.2454i −0.199000 + 0.612458i 0.800907 + 0.598789i \(0.204351\pi\)
−0.999907 + 0.0136691i \(0.995649\pi\)
\(542\) −0.513823 + 4.88870i −0.0220706 + 0.209988i
\(543\) 4.14111 32.9429i 0.177712 1.41372i
\(544\) −0.473544 + 0.210835i −0.0203030 + 0.00903949i
\(545\) 6.04221 + 1.57888i 0.258820 + 0.0676319i
\(546\) 8.04496 13.3022i 0.344292 0.569283i
\(547\) 12.1606 + 5.41427i 0.519951 + 0.231497i 0.649895 0.760024i \(-0.274813\pi\)
−0.129943 + 0.991521i \(0.541480\pi\)
\(548\) −3.30998 10.1871i −0.141395 0.435170i
\(549\) 2.81483 + 10.0340i 0.120134 + 0.428240i
\(550\) 2.37857 + 10.5450i 0.101423 + 0.449640i
\(551\) 10.7139 + 18.5570i 0.456427 + 0.790555i
\(552\) 2.18445 6.28531i 0.0929763 0.267520i
\(553\) 5.07372 + 48.2733i 0.215757 + 2.05279i
\(554\) −0.559990 5.32795i −0.0237917 0.226363i
\(555\) 2.85835 + 11.3038i 0.121330 + 0.479818i
\(556\) −1.03107 + 9.80994i −0.0437269 + 0.416034i
\(557\) −11.7342 −0.497192 −0.248596 0.968607i \(-0.579969\pi\)
−0.248596 + 0.968607i \(0.579969\pi\)
\(558\) 2.43930 + 2.94124i 0.103264 + 0.124513i
\(559\) 17.6444 54.3039i 0.746279 2.29681i
\(560\) 12.9127 13.0740i 0.545661 0.552476i
\(561\) −0.469257 0.542965i −0.0198121 0.0229240i
\(562\) 0.529511 + 0.588082i 0.0223361 + 0.0248067i
\(563\) −1.14734 1.27425i −0.0483544 0.0537030i 0.718482 0.695545i \(-0.244837\pi\)
−0.766837 + 0.641842i \(0.778170\pi\)
\(564\) 27.3493 5.23456i 1.15161 0.220415i
\(565\) −13.1007 + 13.2644i −0.551152 + 0.558036i
\(566\) −3.85280 + 11.8577i −0.161945 + 0.498416i
\(567\) −17.2858 + 25.0018i −0.725935 + 1.04998i
\(568\) 16.2663 0.682520
\(569\) −1.80029 + 17.1286i −0.0754722 + 0.718070i 0.889716 + 0.456514i \(0.150902\pi\)
−0.965188 + 0.261556i \(0.915764\pi\)
\(570\) −4.58764 + 4.45985i −0.192155 + 0.186802i
\(571\) 0.102140 + 0.971802i 0.00427445 + 0.0406686i 0.996451 0.0841723i \(-0.0268246\pi\)
−0.992177 + 0.124841i \(0.960158\pi\)
\(572\) −3.78970 36.0566i −0.158455 1.50760i
\(573\) −19.9145 23.0425i −0.831939 0.962615i
\(574\) 5.13249 + 8.88973i 0.214226 + 0.371050i
\(575\) −9.81297 0.908397i −0.409229 0.0378828i
\(576\) 6.28353 + 1.60511i 0.261814 + 0.0668797i
\(577\) −1.42881 4.39743i −0.0594822 0.183067i 0.916900 0.399116i \(-0.130683\pi\)
−0.976383 + 0.216049i \(0.930683\pi\)
\(578\) −8.11852 3.61460i −0.337686 0.150348i
\(579\) 34.2443 + 0.696281i 1.42315 + 0.0289365i
\(580\) 25.3399 + 6.62155i 1.05218 + 0.274945i
\(581\) −19.1371 + 8.52040i −0.793942 + 0.353486i
\(582\) 1.26046 + 0.955522i 0.0522477 + 0.0396076i
\(583\) 0.986932 9.39003i 0.0408746 0.388895i
\(584\) −6.39992 + 19.6969i −0.264831 + 0.815065i
\(585\) −7.68200 33.2058i −0.317611 1.37289i
\(586\) 0.0724213 + 0.222890i 0.00299170 + 0.00920749i
\(587\) 38.1643 8.11207i 1.57521 0.334821i 0.664313 0.747455i \(-0.268724\pi\)
0.910897 + 0.412634i \(0.135391\pi\)
\(588\) 1.11052 + 13.1281i 0.0457969 + 0.541394i
\(589\) 7.52275 + 1.59901i 0.309970 + 0.0658861i
\(590\) −0.579662 9.88631i −0.0238643 0.407013i
\(591\) −0.945266 0.444100i −0.0388830 0.0182678i
\(592\) −0.765708 + 7.28523i −0.0314704 + 0.299421i
\(593\) −0.233927 −0.00960624 −0.00480312 0.999988i \(-0.501529\pi\)
−0.00480312 + 0.999988i \(0.501529\pi\)
\(594\) −0.491106 11.2233i −0.0201503 0.460496i
\(595\) −0.756206 0.0349267i −0.0310014 0.00143186i
\(596\) −33.2907 14.8220i −1.36364 0.607131i
\(597\) 15.6884 + 28.4956i 0.642084 + 1.16625i
\(598\) −5.12356 1.08905i −0.209518 0.0445344i
\(599\) 17.3587 30.0662i 0.709258 1.22847i −0.255875 0.966710i \(-0.582363\pi\)
0.965133 0.261761i \(-0.0843032\pi\)
\(600\) −0.133658 + 16.8796i −0.00545657 + 0.689106i
\(601\) −15.4400 26.7429i −0.629811 1.09086i −0.987589 0.157058i \(-0.949799\pi\)
0.357779 0.933806i \(-0.383534\pi\)
\(602\) −6.13479 18.8809i −0.250035 0.769530i
\(603\) 5.89663 40.2741i 0.240129 1.64009i
\(604\) −24.7068 + 17.9505i −1.00530 + 0.730396i
\(605\) −13.4239 + 2.21161i −0.545757 + 0.0899148i
\(606\) 3.25406 + 10.7541i 0.132187 + 0.436856i
\(607\) −3.80766 + 6.59506i −0.154548 + 0.267685i −0.932894 0.360150i \(-0.882725\pi\)
0.778346 + 0.627835i \(0.216059\pi\)
\(608\) −14.9199 + 6.64276i −0.605081 + 0.269399i
\(609\) −32.5751 + 22.6699i −1.32001 + 0.918633i
\(610\) −4.00891 + 0.660477i −0.162316 + 0.0267419i
\(611\) −14.6207 44.9978i −0.591489 1.82041i
\(612\) −0.241097 0.459800i −0.00974576 0.0185863i
\(613\) −9.39803 + 28.9242i −0.379583 + 1.16824i 0.560752 + 0.827984i \(0.310512\pi\)
−0.940334 + 0.340252i \(0.889488\pi\)
\(614\) 2.09791 2.32996i 0.0846647 0.0940296i
\(615\) 21.6539 + 6.13120i 0.873168 + 0.247234i
\(616\) −18.2063 20.2201i −0.733551 0.814691i
\(617\) 42.4408 18.8959i 1.70860 0.760719i 0.710213 0.703987i \(-0.248599\pi\)
0.998389 0.0567314i \(-0.0180679\pi\)
\(618\) −0.989882 + 7.87460i −0.0398189 + 0.316763i
\(619\) −1.33153 + 12.6687i −0.0535187 + 0.509197i 0.934622 + 0.355644i \(0.115738\pi\)
−0.988140 + 0.153553i \(0.950928\pi\)
\(620\) 7.85187 5.16862i 0.315339 0.207577i
\(621\) 9.86932 + 2.73598i 0.396042 + 0.109791i
\(622\) 9.42090 6.84469i 0.377744 0.274447i
\(623\) −15.7030 + 17.4400i −0.629129 + 0.698719i
\(624\) 2.67074 21.2460i 0.106915 0.850521i
\(625\) 24.3171 5.80316i 0.972686 0.232126i
\(626\) −0.919333 + 1.59233i −0.0367439 + 0.0636423i
\(627\) −14.7848 17.1071i −0.590449 0.683193i
\(628\) 1.54252 + 0.686776i 0.0615534 + 0.0274053i
\(629\) 0.244143 0.177381i 0.00973463 0.00707263i
\(630\) −8.94703 7.77043i −0.356458 0.309581i
\(631\) −31.3529 22.7792i −1.24814 0.906827i −0.250028 0.968239i \(-0.580440\pi\)
−0.998113 + 0.0614115i \(0.980440\pi\)
\(632\) −14.0068 24.2605i −0.557162 0.965032i
\(633\) −8.32686 27.5188i −0.330963 1.09377i
\(634\) 1.44313 + 1.60276i 0.0573141 + 0.0636538i
\(635\) 18.1827 7.10947i 0.721559 0.282131i
\(636\) 2.24239 6.45202i 0.0889165 0.255839i
\(637\) 21.8968 4.65431i 0.867583 0.184411i
\(638\) 4.53269 13.9502i 0.179451 0.552293i
\(639\) 1.60271 + 24.9847i 0.0634023 + 0.988380i
\(640\) −9.04479 + 24.0067i −0.357527 + 0.948950i
\(641\) −32.7872 + 6.96913i −1.29502 + 0.275264i −0.803344 0.595516i \(-0.796948\pi\)
−0.491673 + 0.870780i \(0.663614\pi\)
\(642\) −2.73364 0.639399i −0.107888 0.0252351i
\(643\) −12.4860 + 21.6263i −0.492399 + 0.852860i −0.999962 0.00875512i \(-0.997213\pi\)
0.507563 + 0.861615i \(0.330546\pi\)
\(644\) 10.4984 4.67419i 0.413695 0.184189i
\(645\) −38.4983 20.3058i −1.51587 0.799540i
\(646\) 0.151284 + 0.0673558i 0.00595217 + 0.00265008i
\(647\) −17.8362 + 12.9588i −0.701214 + 0.509462i −0.880327 0.474367i \(-0.842677\pi\)
0.179114 + 0.983828i \(0.442677\pi\)
\(648\) 3.24477 17.2396i 0.127467 0.677236i
\(649\) 34.9976 1.37377
\(650\) 13.1968 1.55287i 0.517620 0.0609085i
\(651\) −1.77662 + 14.1332i −0.0696312 + 0.553923i
\(652\) 21.0939 + 4.48364i 0.826099 + 0.175593i
\(653\) 0.573436 + 5.45588i 0.0224403 + 0.213505i 0.999996 + 0.00282794i \(0.000900164\pi\)
−0.977556 + 0.210677i \(0.932433\pi\)
\(654\) 1.30943 2.16512i 0.0512026 0.0846628i
\(655\) −0.959624 1.85482i −0.0374956 0.0724738i
\(656\) 11.4389 + 8.31087i 0.446615 + 0.324485i
\(657\) −30.8846 7.88941i −1.20492 0.307795i
\(658\) −13.3087 9.66932i −0.518826 0.376949i
\(659\) −19.7873 + 4.20593i −0.770806 + 0.163840i −0.576495 0.817100i \(-0.695580\pi\)
−0.194310 + 0.980940i \(0.562247\pi\)
\(660\) −27.5756 1.83604i −1.07338 0.0714679i
\(661\) −13.2971 2.82638i −0.517196 0.109934i −0.0580841 0.998312i \(-0.518499\pi\)
−0.459112 + 0.888378i \(0.651832\pi\)
\(662\) 5.49596 + 6.10389i 0.213607 + 0.237234i
\(663\) −0.724064 + 0.503897i −0.0281203 + 0.0195698i
\(664\) 8.08975 8.98457i 0.313943 0.348669i
\(665\) −23.8257 1.10043i −0.923921 0.0426729i
\(666\) 4.72013 + 0.192026i 0.182901 + 0.00744084i
\(667\) 10.8184 + 7.86001i 0.418889 + 0.304341i
\(668\) 16.9791 + 29.4086i 0.656940 + 1.13785i
\(669\) −4.94126 1.15576i −0.191040 0.0446843i
\(670\) 15.3535 + 4.01200i 0.593156 + 0.154997i
\(671\) −1.50084 14.2795i −0.0579393 0.551256i
\(672\) −14.5887 26.4982i −0.562772 1.02219i
\(673\) 15.9018 17.6607i 0.612969 0.680771i −0.354123 0.935199i \(-0.615221\pi\)
0.967092 + 0.254428i \(0.0818872\pi\)
\(674\) −13.5959 −0.523693
\(675\) −25.9398 + 1.45784i −0.998424 + 0.0561122i
\(676\) −22.1225 −0.850865
\(677\) −23.4852 + 26.0829i −0.902608 + 1.00245i 0.0973658 + 0.995249i \(0.468958\pi\)
−0.999974 + 0.00719937i \(0.997708\pi\)
\(678\) 3.64303 + 6.61702i 0.139910 + 0.254125i
\(679\) 0.616327 + 5.86396i 0.0236524 + 0.225038i
\(680\) 0.406900 0.159099i 0.0156039 0.00610115i
\(681\) 37.2965 + 8.72365i 1.42920 + 0.334291i
\(682\) −2.63232 4.55932i −0.100797 0.174585i
\(683\) 35.4803 + 25.7779i 1.35762 + 0.986365i 0.998593 + 0.0530363i \(0.0168899\pi\)
0.359023 + 0.933329i \(0.383110\pi\)
\(684\) −7.59621 14.4869i −0.290448 0.553919i
\(685\) 3.67382 + 13.3782i 0.140369 + 0.511155i
\(686\) −3.06618 + 3.40534i −0.117067 + 0.130017i
\(687\) 25.7565 17.9247i 0.982671 0.683869i
\(688\) −18.2978 20.3217i −0.697596 0.774759i
\(689\) −11.3524 2.41303i −0.432493 0.0919291i
\(690\) −1.48342 + 3.70707i −0.0564727 + 0.141126i
\(691\) 24.5384 5.21581i 0.933486 0.198419i 0.284028 0.958816i \(-0.408329\pi\)
0.649458 + 0.760397i \(0.274996\pi\)
\(692\) 5.30102 + 3.85142i 0.201515 + 0.146409i
\(693\) 29.2638 29.9567i 1.11164 1.13796i
\(694\) 5.19545 + 3.77472i 0.197217 + 0.143286i
\(695\) 1.92026 12.6309i 0.0728395 0.479116i
\(696\) 11.8533 19.5992i 0.449297 0.742907i
\(697\) −0.0608865 0.579296i −0.00230624 0.0219424i
\(698\) −12.6126 2.68088i −0.477393 0.101473i
\(699\) 1.84825 14.7030i 0.0699071 0.556118i
\(700\) −21.4209 + 19.7744i −0.809636 + 0.747402i
\(701\) 4.91096 0.185485 0.0927423 0.995690i \(-0.470437\pi\)
0.0927423 + 0.995690i \(0.470437\pi\)
\(702\) −13.7834 0.841694i −0.520222 0.0317677i
\(703\) 7.69220 5.58871i 0.290117 0.210782i
\(704\) −8.16276 3.63430i −0.307646 0.136973i
\(705\) −35.6983 + 5.13833i −1.34448 + 0.193521i
\(706\) 12.1878 5.42636i 0.458694 0.204224i
\(707\) −20.9421 + 36.2728i −0.787608 + 1.36418i
\(708\) 24.6534 + 5.76643i 0.926531 + 0.216716i
\(709\) 18.2361 3.87619i 0.684869 0.145573i 0.147680 0.989035i \(-0.452819\pi\)
0.537189 + 0.843462i \(0.319486\pi\)
\(710\) −9.75039 0.450339i −0.365926 0.0169009i
\(711\) 35.8836 23.9045i 1.34574 0.896490i
\(712\) 4.18536 12.8812i 0.156853 0.482744i
\(713\) 4.69466 0.997881i 0.175816 0.0373709i
\(714\) −0.100690 + 0.289715i −0.00376823 + 0.0108423i
\(715\) 2.74858 + 46.8778i 0.102791 + 1.75313i
\(716\) 5.25991 + 5.84172i 0.196572 + 0.218316i
\(717\) −10.6794 35.2934i −0.398828 1.31806i
\(718\) −2.36788 4.10129i −0.0883686 0.153059i
\(719\) 12.2939 + 8.93208i 0.458487 + 0.333110i 0.792937 0.609303i \(-0.208551\pi\)
−0.334451 + 0.942413i \(0.608551\pi\)
\(720\) −15.6119 4.76530i −0.581820 0.177592i
\(721\) −23.9355 + 17.3902i −0.891405 + 0.647643i
\(722\) −4.31254 1.92007i −0.160496 0.0714575i
\(723\) 3.22891 + 3.73609i 0.120084 + 0.138947i
\(724\) −16.5470 + 28.6602i −0.614963 + 1.06515i
\(725\) −32.3901 10.0815i −1.20294 0.374417i
\(726\) −0.687501 + 5.46913i −0.0255156 + 0.202979i
\(727\) −21.4119 + 23.7804i −0.794125 + 0.881965i −0.995225 0.0976054i \(-0.968882\pi\)
0.201100 + 0.979571i \(0.435548\pi\)
\(728\) −27.0582 + 19.6589i −1.00284 + 0.728608i
\(729\) 26.7994 + 3.28529i 0.992570 + 0.121677i
\(730\) 4.38157 11.6296i 0.162169 0.430430i
\(731\) −0.117755 + 1.12037i −0.00435534 + 0.0414383i
\(732\) 1.29555 10.3062i 0.0478850 0.380930i
\(733\) 18.6585 8.30729i 0.689167 0.306837i −0.0321094 0.999484i \(-0.510223\pi\)
0.721276 + 0.692648i \(0.243556\pi\)
\(734\) −8.27119 9.18609i −0.305295 0.339065i
\(735\) −0.652315 17.0520i −0.0240610 0.628973i
\(736\) −6.81983 + 7.57418i −0.251382 + 0.279188i
\(737\) −17.3297 + 53.3353i −0.638347 + 1.96463i
\(738\) 4.87635 7.70479i 0.179501 0.283617i
\(739\) −9.35272 28.7847i −0.344045 1.05886i −0.962093 0.272722i \(-0.912076\pi\)
0.618048 0.786141i \(-0.287924\pi\)
\(740\) 1.74674 11.4895i 0.0642115 0.422364i
\(741\) −22.8130 + 15.8762i −0.838057 + 0.583228i
\(742\) −3.68644 + 1.64131i −0.135333 + 0.0602543i
\(743\) −2.81735 + 4.87980i −0.103359 + 0.179022i −0.913066 0.407811i \(-0.866292\pi\)
0.809708 + 0.586833i \(0.199626\pi\)
\(744\) −2.38095 7.86861i −0.0872897 0.288477i
\(745\) 42.1870 + 21.1666i 1.54561 + 0.775484i
\(746\) 0.697250 0.506582i 0.0255281 0.0185473i
\(747\) 14.5972 + 11.5404i 0.534083 + 0.422242i
\(748\) 0.221041 + 0.680295i 0.00808207 + 0.0248741i
\(749\) −5.23275 9.06338i −0.191200 0.331169i
\(750\) 0.547435 10.1143i 0.0199895 0.369321i
\(751\) 11.3957 19.7379i 0.415835 0.720247i −0.579681 0.814844i \(-0.696823\pi\)
0.995516 + 0.0945967i \(0.0301561\pi\)
\(752\) −22.1642 4.71114i −0.808245 0.171798i
\(753\) −1.29320 2.34891i −0.0471269 0.0855989i
\(754\) −16.4716 7.33362i −0.599859 0.267075i
\(755\) 33.0392 21.7486i 1.20242 0.791513i
\(756\) 25.5502 16.2807i 0.929251 0.592125i
\(757\) 41.0082 1.49047 0.745234 0.666803i \(-0.232338\pi\)
0.745234 + 0.666803i \(0.232338\pi\)
\(758\) 1.17106 11.1419i 0.0425348 0.404692i
\(759\) −12.7712 6.00011i −0.463566 0.217790i
\(760\) 12.8202 5.01270i 0.465036 0.181830i
\(761\) 4.08424 + 0.868131i 0.148053 + 0.0314697i 0.281342 0.959608i \(-0.409220\pi\)
−0.133289 + 0.991077i \(0.542554\pi\)
\(762\) −0.666739 7.88194i −0.0241534 0.285533i
\(763\) 9.22625 1.96110i 0.334013 0.0709966i
\(764\) 9.38062 + 28.8706i 0.339379 + 1.04450i
\(765\) 0.284463 + 0.609314i 0.0102848 + 0.0220298i
\(766\) −1.83766 + 5.65574i −0.0663974 + 0.204350i
\(767\) 4.49680 42.7842i 0.162370 1.54485i
\(768\) 2.31541 + 1.75525i 0.0835501 + 0.0633372i
\(769\) −6.36851 + 2.83544i −0.229654 + 0.102249i −0.518338 0.855176i \(-0.673449\pi\)
0.288684 + 0.957425i \(0.406782\pi\)
\(770\) 10.3534 + 12.6244i 0.373112 + 0.454952i