Properties

Label 225.2.q.a.106.3
Level $225$
Weight $2$
Character 225.106
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 106.3
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.40744 - 0.511718i) q^{2} +(1.05412 + 1.37435i) q^{3} +(3.70683 + 1.65039i) q^{4} +(1.50334 + 1.65528i) q^{5} +(-1.83444 - 3.84808i) q^{6} +(2.55879 - 4.43196i) q^{7} +(-4.09710 - 2.97672i) q^{8} +(-0.777680 + 2.89745i) q^{9} +O(q^{10})\) \(q+(-2.40744 - 0.511718i) q^{2} +(1.05412 + 1.37435i) q^{3} +(3.70683 + 1.65039i) q^{4} +(1.50334 + 1.65528i) q^{5} +(-1.83444 - 3.84808i) q^{6} +(2.55879 - 4.43196i) q^{7} +(-4.09710 - 2.97672i) q^{8} +(-0.777680 + 2.89745i) q^{9} +(-2.77218 - 4.75428i) q^{10} +(1.54858 + 0.329161i) q^{11} +(1.63922 + 6.83418i) q^{12} +(-0.872558 + 0.185468i) q^{13} +(-8.42805 + 9.36030i) q^{14} +(-0.690238 + 3.81098i) q^{15} +(2.91012 + 3.23201i) q^{16} +(-3.04259 - 2.21057i) q^{17} +(3.35489 - 6.57749i) q^{18} +(3.69404 + 2.68388i) q^{19} +(2.84079 + 8.61695i) q^{20} +(8.78832 - 1.15512i) q^{21} +(-3.55968 - 1.58487i) q^{22} +(3.66725 - 4.07289i) q^{23} +(-0.227764 - 8.76865i) q^{24} +(-0.479912 + 4.97692i) q^{25} +2.19554 q^{26} +(-4.80188 + 1.98544i) q^{27} +(16.7994 - 12.2055i) q^{28} +(0.00441000 + 0.0419584i) q^{29} +(3.61185 - 8.82151i) q^{30} +(-0.205934 + 1.95934i) q^{31} +(-0.287768 - 0.498429i) q^{32} +(1.18000 + 2.47526i) q^{33} +(6.19366 + 6.87876i) q^{34} +(11.1829 - 2.42724i) q^{35} +(-7.66464 + 9.45688i) q^{36} +(-1.43995 + 4.43171i) q^{37} +(-7.51981 - 8.35159i) q^{38} +(-1.17468 - 1.00370i) q^{39} +(-1.23205 - 11.2569i) q^{40} +(-0.748156 + 0.159025i) q^{41} +(-21.7485 - 1.71626i) q^{42} +(-4.11709 + 7.13101i) q^{43} +(5.19708 + 3.77590i) q^{44} +(-5.96521 + 3.06859i) q^{45} +(-10.9129 + 7.92865i) q^{46} +(-0.426471 - 4.05760i) q^{47} +(-1.37432 + 7.40644i) q^{48} +(-9.59482 - 16.6187i) q^{49} +(3.70214 - 11.7361i) q^{50} +(-0.169142 - 6.51178i) q^{51} +(-3.54052 - 0.752561i) q^{52} +(-2.00012 + 1.45317i) q^{53} +(12.5762 - 2.32263i) q^{54} +(1.78319 + 3.05818i) q^{55} +(-23.6763 + 10.5414i) q^{56} +(0.205358 + 7.90603i) q^{57} +(0.0108540 - 0.103269i) q^{58} +(-9.31606 + 1.98019i) q^{59} +(-8.84819 + 12.9875i) q^{60} +(7.08784 + 1.50657i) q^{61} +(1.49840 - 4.61160i) q^{62} +(10.8514 + 10.8606i) q^{63} +(-2.25016 - 6.92529i) q^{64} +(-1.61876 - 1.16551i) q^{65} +(-1.57414 - 6.56288i) q^{66} +(-0.375946 + 3.57689i) q^{67} +(-7.63006 - 13.2156i) q^{68} +(9.46329 + 0.746785i) q^{69} +(-28.1642 + 0.120956i) q^{70} +(-1.57130 + 1.14162i) q^{71} +(11.8111 - 9.55620i) q^{72} +(-4.42033 - 13.6044i) q^{73} +(5.73438 - 9.93224i) q^{74} +(-7.34591 + 4.58668i) q^{75} +(9.26375 + 16.0453i) q^{76} +(5.42132 - 6.02098i) q^{77} +(2.31435 + 3.01744i) q^{78} +(-0.355789 - 3.38511i) q^{79} +(-0.974982 + 9.67589i) q^{80} +(-7.79043 - 4.50657i) q^{81} +1.88252 q^{82} +(-3.54787 + 1.57961i) q^{83} +(34.4832 + 10.2223i) q^{84} +(-0.914942 - 8.35958i) q^{85} +(13.5607 - 15.0607i) q^{86} +(-0.0530169 + 0.0502899i) q^{87} +(-5.36486 - 5.95828i) q^{88} +(-0.935601 - 2.87948i) q^{89} +(15.9312 - 4.33494i) q^{90} +(-1.41071 + 4.34171i) q^{91} +(20.3157 - 9.04514i) q^{92} +(-2.90989 + 1.78234i) q^{93} +(-1.04964 + 9.98667i) q^{94} +(1.11084 + 10.1495i) q^{95} +(0.381675 - 0.920896i) q^{96} +(0.544048 + 5.17627i) q^{97} +(14.5949 + 44.9184i) q^{98} +(-2.15803 + 4.23095i) 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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.40744 0.511718i −1.70232 0.361839i −0.748712 0.662895i \(-0.769327\pi\)
−0.953606 + 0.301056i \(0.902661\pi\)
\(3\) 1.05412 + 1.37435i 0.608594 + 0.793482i
\(4\) 3.70683 + 1.65039i 1.85341 + 0.825193i
\(5\) 1.50334 + 1.65528i 0.672316 + 0.740264i
\(6\) −1.83444 3.84808i −0.748908 1.57097i
\(7\) 2.55879 4.43196i 0.967132 1.67512i 0.263357 0.964698i \(-0.415170\pi\)
0.703775 0.710423i \(-0.251496\pi\)
\(8\) −4.09710 2.97672i −1.44854 1.05243i
\(9\) −0.777680 + 2.89745i −0.259227 + 0.965817i
\(10\) −2.77218 4.75428i −0.876639 1.50344i
\(11\) 1.54858 + 0.329161i 0.466914 + 0.0992457i 0.435360 0.900256i \(-0.356621\pi\)
0.0315541 + 0.999502i \(0.489954\pi\)
\(12\) 1.63922 + 6.83418i 0.473201 + 1.97286i
\(13\) −0.872558 + 0.185468i −0.242004 + 0.0514396i −0.327317 0.944915i \(-0.606144\pi\)
0.0853127 + 0.996354i \(0.472811\pi\)
\(14\) −8.42805 + 9.36030i −2.25249 + 2.50164i
\(15\) −0.690238 + 3.81098i −0.178219 + 0.983991i
\(16\) 2.91012 + 3.23201i 0.727529 + 0.808003i
\(17\) −3.04259 2.21057i −0.737936 0.536142i 0.154128 0.988051i \(-0.450743\pi\)
−0.892064 + 0.451909i \(0.850743\pi\)
\(18\) 3.35489 6.57749i 0.790756 1.55033i
\(19\) 3.69404 + 2.68388i 0.847472 + 0.615724i 0.924448 0.381309i \(-0.124527\pi\)
−0.0769761 + 0.997033i \(0.524527\pi\)
\(20\) 2.84079 + 8.61695i 0.635219 + 1.92681i
\(21\) 8.78832 1.15512i 1.91777 0.252068i
\(22\) −3.55968 1.58487i −0.758926 0.337896i
\(23\) 3.66725 4.07289i 0.764674 0.849257i −0.227544 0.973768i \(-0.573070\pi\)
0.992218 + 0.124511i \(0.0397363\pi\)
\(24\) −0.227764 8.76865i −0.0464922 1.78989i
\(25\) −0.479912 + 4.97692i −0.0959825 + 0.995383i
\(26\) 2.19554 0.430581
\(27\) −4.80188 + 1.98544i −0.924122 + 0.382099i
\(28\) 16.7994 12.2055i 3.17480 2.30662i
\(29\) 0.00441000 + 0.0419584i 0.000818917 + 0.00779148i 0.994924 0.100632i \(-0.0320864\pi\)
−0.994105 + 0.108423i \(0.965420\pi\)
\(30\) 3.61185 8.82151i 0.659431 1.61058i
\(31\) −0.205934 + 1.95934i −0.0369869 + 0.351907i 0.960340 + 0.278833i \(0.0899476\pi\)
−0.997327 + 0.0730740i \(0.976719\pi\)
\(32\) −0.287768 0.498429i −0.0508707 0.0881106i
\(33\) 1.18000 + 2.47526i 0.205412 + 0.430888i
\(34\) 6.19366 + 6.87876i 1.06220 + 1.17970i
\(35\) 11.1829 2.42724i 1.89025 0.410278i
\(36\) −7.66464 + 9.45688i −1.27744 + 1.57615i
\(37\) −1.43995 + 4.43171i −0.236726 + 0.728569i 0.760161 + 0.649734i \(0.225120\pi\)
−0.996888 + 0.0788345i \(0.974880\pi\)
\(38\) −7.51981 8.35159i −1.21987 1.35481i
\(39\) −1.17468 1.00370i −0.188099 0.160720i
\(40\) −1.23205 11.2569i −0.194804 1.77987i
\(41\) −0.748156 + 0.159025i −0.116842 + 0.0248356i −0.265962 0.963984i \(-0.585689\pi\)
0.149119 + 0.988819i \(0.452356\pi\)
\(42\) −21.7485 1.71626i −3.35586 0.264824i
\(43\) −4.11709 + 7.13101i −0.627850 + 1.08747i 0.360132 + 0.932901i \(0.382732\pi\)
−0.987982 + 0.154567i \(0.950602\pi\)
\(44\) 5.19708 + 3.77590i 0.783489 + 0.569238i
\(45\) −5.96521 + 3.06859i −0.889242 + 0.457438i
\(46\) −10.9129 + 7.92865i −1.60901 + 1.16902i
\(47\) −0.426471 4.05760i −0.0622072 0.591862i −0.980576 0.196137i \(-0.937160\pi\)
0.918369 0.395725i \(-0.129507\pi\)
\(48\) −1.37432 + 7.40644i −0.198366 + 1.06903i
\(49\) −9.59482 16.6187i −1.37069 2.37410i
\(50\) 3.70214 11.7361i 0.523561 1.65973i
\(51\) −0.169142 6.51178i −0.0236847 0.911831i
\(52\) −3.54052 0.752561i −0.490982 0.104361i
\(53\) −2.00012 + 1.45317i −0.274737 + 0.199608i −0.716619 0.697465i \(-0.754311\pi\)
0.441882 + 0.897073i \(0.354311\pi\)
\(54\) 12.5762 2.32263i 1.71141 0.316071i
\(55\) 1.78319 + 3.05818i 0.240446 + 0.412364i
\(56\) −23.6763 + 10.5414i −3.16388 + 1.40865i
\(57\) 0.205358 + 7.90603i 0.0272003 + 1.04718i
\(58\) 0.0108540 0.103269i 0.00142520 0.0135599i
\(59\) −9.31606 + 1.98019i −1.21285 + 0.257799i −0.769557 0.638579i \(-0.779523\pi\)
−0.443292 + 0.896377i \(0.646189\pi\)
\(60\) −8.84819 + 12.9875i −1.14230 + 1.67668i
\(61\) 7.08784 + 1.50657i 0.907505 + 0.192896i 0.637940 0.770086i \(-0.279787\pi\)
0.269565 + 0.962982i \(0.413120\pi\)
\(62\) 1.49840 4.61160i 0.190297 0.585674i
\(63\) 10.8514 + 10.8606i 1.36715 + 1.36831i
\(64\) −2.25016 6.92529i −0.281270 0.865661i
\(65\) −1.61876 1.16551i −0.200782 0.144563i
\(66\) −1.57414 6.56288i −0.193764 0.807835i
\(67\) −0.375946 + 3.57689i −0.0459291 + 0.436986i 0.947259 + 0.320468i \(0.103840\pi\)
−0.993189 + 0.116519i \(0.962827\pi\)
\(68\) −7.63006 13.2156i −0.925280 1.60263i
\(69\) 9.46329 + 0.746785i 1.13925 + 0.0899024i
\(70\) −28.1642 + 0.120956i −3.36626 + 0.0144570i
\(71\) −1.57130 + 1.14162i −0.186479 + 0.135485i −0.677108 0.735884i \(-0.736767\pi\)
0.490629 + 0.871369i \(0.336767\pi\)
\(72\) 11.8111 9.55620i 1.39195 1.12621i
\(73\) −4.42033 13.6044i −0.517361 1.59227i −0.778945 0.627093i \(-0.784245\pi\)
0.261584 0.965181i \(-0.415755\pi\)
\(74\) 5.73438 9.93224i 0.666608 1.15460i
\(75\) −7.34591 + 4.58668i −0.848233 + 0.529624i
\(76\) 9.26375 + 16.0453i 1.06262 + 1.84052i
\(77\) 5.42132 6.02098i 0.617816 0.686155i
\(78\) 2.31435 + 3.01744i 0.262049 + 0.341658i
\(79\) −0.355789 3.38511i −0.0400294 0.380855i −0.996135 0.0878329i \(-0.972006\pi\)
0.956106 0.293022i \(-0.0946608\pi\)
\(80\) −0.974982 + 9.67589i −0.109006 + 1.08180i
\(81\) −7.79043 4.50657i −0.865603 0.500731i
\(82\) 1.88252 0.207889
\(83\) −3.54787 + 1.57961i −0.389429 + 0.173385i −0.592105 0.805861i \(-0.701703\pi\)
0.202676 + 0.979246i \(0.435036\pi\)
\(84\) 34.4832 + 10.2223i 3.76243 + 1.11534i
\(85\) −0.914942 8.35958i −0.0992394 0.906724i
\(86\) 13.5607 15.0607i 1.46229 1.62404i
\(87\) −0.0530169 + 0.0502899i −0.00568401 + 0.00539164i
\(88\) −5.36486 5.95828i −0.571896 0.635155i
\(89\) −0.935601 2.87948i −0.0991735 0.305225i 0.889145 0.457625i \(-0.151300\pi\)
−0.988319 + 0.152400i \(0.951300\pi\)
\(90\) 15.9312 4.33494i 1.67929 0.456942i
\(91\) −1.41071 + 4.34171i −0.147882 + 0.455135i
\(92\) 20.3157 9.04514i 2.11806 0.943021i
\(93\) −2.90989 + 1.78234i −0.301742 + 0.184820i
\(94\) −1.04964 + 9.98667i −0.108262 + 1.03005i
\(95\) 1.11084 + 10.1495i 0.113970 + 1.04131i
\(96\) 0.381675 0.920896i 0.0389546 0.0939886i
\(97\) 0.544048 + 5.17627i 0.0552397 + 0.525571i 0.986795 + 0.161972i \(0.0517854\pi\)
−0.931556 + 0.363599i \(0.881548\pi\)
\(98\) 14.5949 + 44.9184i 1.47431 + 4.53744i
\(99\) −2.15803 + 4.23095i −0.216890 + 0.425226i
\(100\) −9.99279 + 17.6565i −0.999279 + 1.76565i
\(101\) 7.78401 13.4823i 0.774538 1.34154i −0.160516 0.987033i \(-0.551316\pi\)
0.935054 0.354506i \(-0.115351\pi\)
\(102\) −2.92499 + 15.7633i −0.289617 + 1.56080i
\(103\) −14.5392 6.47329i −1.43259 0.637832i −0.463854 0.885912i \(-0.653534\pi\)
−0.968740 + 0.248080i \(0.920200\pi\)
\(104\) 4.12704 + 1.83748i 0.404690 + 0.180179i
\(105\) 15.1239 + 12.8106i 1.47594 + 1.25019i
\(106\) 5.55878 2.47493i 0.539916 0.240386i
\(107\) 2.75485 0.266322 0.133161 0.991094i \(-0.457487\pi\)
0.133161 + 0.991094i \(0.457487\pi\)
\(108\) −21.0765 0.565254i −2.02809 0.0543916i
\(109\) 3.89734 11.9948i 0.373297 1.14889i −0.571323 0.820726i \(-0.693570\pi\)
0.944620 0.328166i \(-0.106430\pi\)
\(110\) −2.72801 8.27487i −0.260106 0.788978i
\(111\) −7.60860 + 2.69254i −0.722176 + 0.255565i
\(112\) 21.7705 4.62747i 2.05712 0.437254i
\(113\) 12.4858 2.65395i 1.17457 0.249662i 0.421018 0.907052i \(-0.361673\pi\)
0.753550 + 0.657390i \(0.228340\pi\)
\(114\) 3.55127 19.1384i 0.332607 1.79247i
\(115\) 12.2549 0.0526309i 1.14278 0.00490785i
\(116\) −0.0529004 + 0.162811i −0.00491168 + 0.0151166i
\(117\) 0.141187 2.67243i 0.0130527 0.247066i
\(118\) 23.4412 2.15794
\(119\) −17.5825 + 7.82823i −1.61178 + 0.717612i
\(120\) 14.1722 13.5593i 1.29374 1.23779i
\(121\) −7.75925 3.45464i −0.705386 0.314058i
\(122\) −16.2926 7.25394i −1.47506 0.656741i
\(123\) −1.00720 0.860597i −0.0908161 0.0775974i
\(124\) −3.99702 + 6.92305i −0.358943 + 0.621708i
\(125\) −8.95967 + 6.68763i −0.801377 + 0.598160i
\(126\) −20.5667 31.6992i −1.83222 2.82399i
\(127\) −2.35801 7.25722i −0.209240 0.643974i −0.999513 0.0312188i \(-0.990061\pi\)
0.790273 0.612755i \(-0.209939\pi\)
\(128\) 1.99366 + 18.9684i 0.176217 + 1.67659i
\(129\) −14.1404 + 1.85858i −1.24499 + 0.163639i
\(130\) 3.30065 + 3.63424i 0.289486 + 0.318744i
\(131\) −0.271722 + 2.58526i −0.0237404 + 0.225875i 0.976218 + 0.216790i \(0.0695586\pi\)
−0.999959 + 0.00908528i \(0.997108\pi\)
\(132\) 0.288914 + 11.1228i 0.0251467 + 0.968119i
\(133\) 21.3471 9.50435i 1.85103 0.824131i
\(134\) 2.73542 8.41877i 0.236305 0.727271i
\(135\) −10.5053 4.96365i −0.904156 0.427203i
\(136\) 5.88554 + 18.1138i 0.504681 + 1.55325i
\(137\) 3.75593 + 4.17139i 0.320891 + 0.356386i 0.881910 0.471417i \(-0.156257\pi\)
−0.561019 + 0.827803i \(0.689591\pi\)
\(138\) −22.4002 6.64037i −1.90683 0.565266i
\(139\) −1.15390 + 1.28154i −0.0978727 + 0.108699i −0.790091 0.612989i \(-0.789967\pi\)
0.692218 + 0.721688i \(0.256633\pi\)
\(140\) 45.4589 + 9.45872i 3.84198 + 0.799408i
\(141\) 5.12702 4.86330i 0.431773 0.409564i
\(142\) 4.36700 1.94432i 0.366471 0.163163i
\(143\) −1.41227 −0.118100
\(144\) −11.6277 + 5.91845i −0.968978 + 0.493204i
\(145\) −0.0628232 + 0.0703777i −0.00521718 + 0.00584455i
\(146\) 3.68009 + 35.0137i 0.304567 + 2.89776i
\(147\) 12.7259 30.7047i 1.04961 2.53248i
\(148\) −12.6517 + 14.0511i −1.03996 + 1.15500i
\(149\) −6.23532 10.7999i −0.510817 0.884761i −0.999921 0.0125357i \(-0.996010\pi\)
0.489104 0.872225i \(-0.337324\pi\)
\(150\) 20.0319 7.28313i 1.63560 0.594665i
\(151\) −3.71371 + 6.43234i −0.302218 + 0.523457i −0.976638 0.214891i \(-0.931060\pi\)
0.674420 + 0.738348i \(0.264394\pi\)
\(152\) −7.14571 21.9922i −0.579594 1.78381i
\(153\) 8.77117 7.09663i 0.709107 0.573728i
\(154\) −16.1325 + 11.7210i −1.30000 + 0.944503i
\(155\) −3.55284 + 2.60468i −0.285371 + 0.209213i
\(156\) −2.69783 5.65920i −0.216000 0.453099i
\(157\) 4.70564 + 8.15040i 0.375551 + 0.650473i 0.990409 0.138164i \(-0.0441202\pi\)
−0.614859 + 0.788637i \(0.710787\pi\)
\(158\) −0.875678 + 8.33152i −0.0696652 + 0.662820i
\(159\) −4.10552 1.21705i −0.325589 0.0965185i
\(160\) 0.392426 1.22565i 0.0310240 0.0968960i
\(161\) −8.66715 26.6748i −0.683067 2.10227i
\(162\) 16.4489 + 14.8358i 1.29235 + 1.16561i
\(163\) −0.969935 + 2.98515i −0.0759712 + 0.233815i −0.981829 0.189766i \(-0.939227\pi\)
0.905858 + 0.423581i \(0.139227\pi\)
\(164\) −3.03574 0.645266i −0.237051 0.0503868i
\(165\) −2.32331 + 5.67441i −0.180870 + 0.441752i
\(166\) 9.34960 1.98732i 0.725669 0.154246i
\(167\) −0.299893 + 2.85329i −0.0232064 + 0.220794i 0.976772 + 0.214279i \(0.0687403\pi\)
−0.999979 + 0.00651456i \(0.997926\pi\)
\(168\) −39.4451 21.4277i −3.04325 1.65318i
\(169\) −11.1491 + 4.96391i −0.857625 + 0.381839i
\(170\) −2.07507 + 20.5934i −0.159151 + 1.57944i
\(171\) −10.6492 + 8.61611i −0.814364 + 0.658890i
\(172\) −27.0303 + 19.6386i −2.06104 + 1.49743i
\(173\) −15.5462 3.30444i −1.18195 0.251232i −0.425303 0.905051i \(-0.639832\pi\)
−0.756651 + 0.653819i \(0.773166\pi\)
\(174\) 0.153369 0.0939403i 0.0116269 0.00712160i
\(175\) 20.8295 + 14.8618i 1.57456 + 1.12345i
\(176\) 3.44270 + 5.96292i 0.259503 + 0.449472i
\(177\) −12.5417 10.7162i −0.942691 0.805478i
\(178\) 0.778923 + 7.41096i 0.0583827 + 0.555475i
\(179\) 14.4077 10.4678i 1.07688 0.782399i 0.0997433 0.995013i \(-0.468198\pi\)
0.977136 + 0.212614i \(0.0681978\pi\)
\(180\) −27.1764 + 1.52981i −2.02561 + 0.114026i
\(181\) 14.8249 + 10.7709i 1.10192 + 0.800594i 0.981373 0.192114i \(-0.0615342\pi\)
0.120550 + 0.992707i \(0.461534\pi\)
\(182\) 5.61793 9.73054i 0.416429 0.721275i
\(183\) 5.40085 + 11.3293i 0.399242 + 0.837484i
\(184\) −27.1489 + 5.77068i −2.00144 + 0.425420i
\(185\) −9.50047 + 4.27886i −0.698488 + 0.314588i
\(186\) 7.91745 2.80184i 0.580536 0.205441i
\(187\) −3.98405 4.42474i −0.291343 0.323569i
\(188\) 5.11576 15.7447i 0.373105 1.14830i
\(189\) −3.48760 + 26.3620i −0.253686 + 1.91756i
\(190\) 2.51937 25.0027i 0.182775 1.81389i
\(191\) 7.36816 + 8.18317i 0.533141 + 0.592114i 0.948197 0.317682i \(-0.102905\pi\)
−0.415056 + 0.909796i \(0.636238\pi\)
\(192\) 7.14584 10.3926i 0.515707 0.750019i
\(193\) −3.22947 5.59361i −0.232463 0.402637i 0.726070 0.687621i \(-0.241345\pi\)
−0.958532 + 0.284984i \(0.908012\pi\)
\(194\) 1.33902 12.7400i 0.0961364 0.914676i
\(195\) −0.104542 3.45332i −0.00748641 0.247297i
\(196\) −8.13905 77.4379i −0.581361 5.53128i
\(197\) −20.4081 + 14.8274i −1.45402 + 1.05641i −0.469145 + 0.883121i \(0.655438\pi\)
−0.984872 + 0.173284i \(0.944562\pi\)
\(198\) 7.36037 9.08147i 0.523079 0.645392i
\(199\) 2.48202 0.175946 0.0879729 0.996123i \(-0.471961\pi\)
0.0879729 + 0.996123i \(0.471961\pi\)
\(200\) 16.7811 18.9623i 1.18660 1.34084i
\(201\) −5.31219 + 3.25377i −0.374693 + 0.229503i
\(202\) −25.6387 + 28.4746i −1.80393 + 2.00347i
\(203\) 0.197242 + 0.0878178i 0.0138437 + 0.00616360i
\(204\) 10.1200 24.4172i 0.708539 1.70955i
\(205\) −1.38797 0.999338i −0.0969399 0.0697968i
\(206\) 31.6899 + 23.0240i 2.20794 + 1.60416i
\(207\) 8.94905 + 13.7931i 0.622002 + 0.958685i
\(208\) −3.13868 2.28039i −0.217628 0.158116i
\(209\) 4.83709 + 5.37213i 0.334589 + 0.371598i
\(210\) −29.8545 38.5800i −2.06016 2.66227i
\(211\) −4.61440 + 5.12481i −0.317669 + 0.352807i −0.880739 0.473602i \(-0.842953\pi\)
0.563070 + 0.826409i \(0.309620\pi\)
\(212\) −9.81238 + 2.08569i −0.673917 + 0.143246i
\(213\) −3.22532 0.956123i −0.220995 0.0655124i
\(214\) −6.63215 1.40971i −0.453365 0.0963656i
\(215\) −17.9932 + 3.90542i −1.22713 + 0.266347i
\(216\) 25.5839 + 6.15927i 1.74076 + 0.419085i
\(217\) 8.15674 + 5.92622i 0.553716 + 0.402298i
\(218\) −15.5206 + 26.8824i −1.05118 + 1.82071i
\(219\) 14.0377 20.4157i 0.948577 1.37956i
\(220\) 1.56282 + 14.2791i 0.105366 + 0.962697i
\(221\) 3.06482 + 1.36455i 0.206162 + 0.0917894i
\(222\) 19.6951 2.58868i 1.32185 0.173741i
\(223\) 12.9012 + 2.74223i 0.863927 + 0.183633i 0.618503 0.785782i \(-0.287739\pi\)
0.245424 + 0.969416i \(0.421073\pi\)
\(224\) −2.94535 −0.196795
\(225\) −14.0471 5.26097i −0.936476 0.350731i
\(226\) −31.4170 −2.08983
\(227\) 17.1480 + 3.64491i 1.13815 + 0.241921i 0.738178 0.674606i \(-0.235686\pi\)
0.399973 + 0.916527i \(0.369020\pi\)
\(228\) −12.2868 + 29.6452i −0.813712 + 1.96330i
\(229\) 14.8442 + 6.60908i 0.980935 + 0.436740i 0.833613 0.552348i \(-0.186268\pi\)
0.147321 + 0.989089i \(0.452935\pi\)
\(230\) −29.5299 6.14435i −1.94715 0.405146i
\(231\) 13.9896 + 1.10398i 0.920450 + 0.0726364i
\(232\) 0.106830 0.185035i 0.00701373 0.0121481i
\(233\) −15.4281 11.2092i −1.01073 0.734339i −0.0463684 0.998924i \(-0.514765\pi\)
−0.964362 + 0.264586i \(0.914765\pi\)
\(234\) −1.70743 + 6.36147i −0.111618 + 0.415862i
\(235\) 6.07534 6.80590i 0.396311 0.443968i
\(236\) −37.8011 8.03488i −2.46064 0.523026i
\(237\) 4.27728 4.05728i 0.277839 0.263548i
\(238\) 46.3346 9.84873i 3.00343 0.638398i
\(239\) −4.66262 + 5.17837i −0.301600 + 0.334961i −0.874827 0.484436i \(-0.839025\pi\)
0.573227 + 0.819397i \(0.305691\pi\)
\(240\) −14.3258 + 8.85954i −0.924727 + 0.571881i
\(241\) −2.02990 2.25444i −0.130758 0.145221i 0.674210 0.738539i \(-0.264484\pi\)
−0.804968 + 0.593318i \(0.797817\pi\)
\(242\) 16.9121 + 12.2874i 1.08715 + 0.789863i
\(243\) −2.01840 15.4572i −0.129480 0.991582i
\(244\) 23.7870 + 17.2823i 1.52281 + 1.10638i
\(245\) 13.0843 40.8658i 0.835927 2.61082i
\(246\) 1.98439 + 2.58724i 0.126520 + 0.164956i
\(247\) −3.72104 1.65671i −0.236764 0.105414i
\(248\) 6.67612 7.41458i 0.423934 0.470826i
\(249\) −5.91080 3.21092i −0.374582 0.203484i
\(250\) 24.9921 11.5153i 1.58064 0.728288i
\(251\) 14.6208 0.922854 0.461427 0.887178i \(-0.347338\pi\)
0.461427 + 0.887178i \(0.347338\pi\)
\(252\) 22.3003 + 58.1675i 1.40478 + 3.66421i
\(253\) 7.01966 5.10008i 0.441322 0.320639i
\(254\) 1.96313 + 18.6780i 0.123178 + 1.17196i
\(255\) 10.5245 10.0694i 0.659072 0.630571i
\(256\) 3.38457 32.2020i 0.211536 2.01263i
\(257\) 8.94002 + 15.4846i 0.557663 + 0.965900i 0.997691 + 0.0679164i \(0.0216351\pi\)
−0.440028 + 0.897984i \(0.645032\pi\)
\(258\) 34.9932 + 2.76145i 2.17858 + 0.171921i
\(259\) 15.9566 + 17.7216i 0.991496 + 1.10117i
\(260\) −4.07692 6.99191i −0.252840 0.433620i
\(261\) −0.125002 0.0198524i −0.00773742 0.00122883i
\(262\) 1.97708 6.08482i 0.122144 0.375921i
\(263\) 8.20941 + 9.11748i 0.506214 + 0.562208i 0.941035 0.338309i \(-0.109855\pi\)
−0.434821 + 0.900517i \(0.643188\pi\)
\(264\) 2.53358 13.6539i 0.155931 0.840341i
\(265\) −5.41227 1.12614i −0.332473 0.0691783i
\(266\) −56.2555 + 11.9575i −3.44924 + 0.733160i
\(267\) 2.97119 4.32115i 0.181834 0.264450i
\(268\) −7.29682 + 12.6385i −0.445724 + 0.772017i
\(269\) −18.8007 13.6595i −1.14630 0.832835i −0.158314 0.987389i \(-0.550606\pi\)
−0.987984 + 0.154554i \(0.950606\pi\)
\(270\) 22.7510 + 17.3255i 1.38458 + 1.05439i
\(271\) 22.0116 15.9923i 1.33711 0.971466i 0.337563 0.941303i \(-0.390397\pi\)
0.999545 0.0301632i \(-0.00960270\pi\)
\(272\) −1.70970 16.2667i −0.103666 0.986313i
\(273\) −7.45409 + 2.63786i −0.451142 + 0.159651i
\(274\) −6.90762 11.9643i −0.417305 0.722793i
\(275\) −2.38139 + 7.54918i −0.143603 + 0.455233i
\(276\) 33.8463 + 18.3863i 2.03731 + 1.10672i
\(277\) −17.2246 3.66120i −1.03493 0.219980i −0.341028 0.940053i \(-0.610775\pi\)
−0.693898 + 0.720073i \(0.744108\pi\)
\(278\) 3.43374 2.49476i 0.205942 0.149626i
\(279\) −5.51692 2.12042i −0.330290 0.126946i
\(280\) −53.0425 23.3436i −3.16990 1.39505i
\(281\) 13.1803 5.86826i 0.786272 0.350071i 0.0259884 0.999662i \(-0.491727\pi\)
0.760283 + 0.649591i \(0.225060\pi\)
\(282\) −14.8316 + 9.08453i −0.883211 + 0.540976i
\(283\) 1.29863 12.3556i 0.0771954 0.734465i −0.885639 0.464374i \(-0.846279\pi\)
0.962835 0.270091i \(-0.0870539\pi\)
\(284\) −7.70866 + 1.63853i −0.457425 + 0.0972286i
\(285\) −12.7780 + 12.2254i −0.756902 + 0.724171i
\(286\) 3.39997 + 0.722686i 0.201044 + 0.0427333i
\(287\) −1.20958 + 3.72271i −0.0713993 + 0.219744i
\(288\) 1.66796 0.446176i 0.0982858 0.0262912i
\(289\) −0.882569 2.71627i −0.0519158 0.159781i
\(290\) 0.187257 0.137282i 0.0109961 0.00806151i
\(291\) −6.54052 + 6.20410i −0.383412 + 0.363691i
\(292\) 6.06708 57.7244i 0.355049 3.37807i
\(293\) 11.2824 + 19.5417i 0.659125 + 1.14164i 0.980843 + 0.194802i \(0.0624064\pi\)
−0.321718 + 0.946836i \(0.604260\pi\)
\(294\) −46.3490 + 67.4077i −2.70313 + 3.93130i
\(295\) −17.2830 12.4438i −1.00626 0.724506i
\(296\) 19.0916 13.8708i 1.10967 0.806226i
\(297\) −8.08962 + 1.49403i −0.469407 + 0.0866923i
\(298\) 9.48467 + 29.1908i 0.549432 + 1.69098i
\(299\) −2.44450 + 4.23399i −0.141369 + 0.244858i
\(300\) −34.7998 + 4.87844i −2.00917 + 0.281657i
\(301\) 21.0695 + 36.4935i 1.21443 + 2.10345i
\(302\) 12.2321 13.5851i 0.703878 0.781735i
\(303\) 26.7347 3.51395i 1.53587 0.201871i
\(304\) 2.07577 + 19.7496i 0.119053 + 1.13272i
\(305\) 8.16167 + 13.9973i 0.467336 + 0.801480i
\(306\) −24.7475 + 12.5964i −1.41472 + 0.720086i
\(307\) −27.5455 −1.57211 −0.786054 0.618158i \(-0.787879\pi\)
−0.786054 + 0.618158i \(0.787879\pi\)
\(308\) 30.0328 13.3715i 1.71128 0.761911i
\(309\) −6.42948 26.8056i −0.365760 1.52492i
\(310\) 9.88612 4.45255i 0.561494 0.252888i
\(311\) 0.339314 0.376846i 0.0192407 0.0213690i −0.733448 0.679746i \(-0.762090\pi\)
0.752688 + 0.658377i \(0.228757\pi\)
\(312\) 1.82504 + 7.60892i 0.103323 + 0.430770i
\(313\) −8.84725 9.82587i −0.500076 0.555391i 0.439273 0.898354i \(-0.355236\pi\)
−0.939349 + 0.342963i \(0.888570\pi\)
\(314\) −7.15784 22.0296i −0.403941 1.24320i
\(315\) −1.66390 + 34.2894i −0.0937501 + 1.93199i
\(316\) 4.26789 13.1352i 0.240088 0.738914i
\(317\) −9.58348 + 4.26684i −0.538262 + 0.239650i −0.657817 0.753178i \(-0.728520\pi\)
0.119555 + 0.992828i \(0.461853\pi\)
\(318\) 9.26101 + 5.03085i 0.519332 + 0.282116i
\(319\) −0.00698181 + 0.0664275i −0.000390906 + 0.00371923i
\(320\) 8.08053 14.1357i 0.451715 0.790212i
\(321\) 2.90394 + 3.78614i 0.162082 + 0.211322i
\(322\) 7.21573 + 68.6530i 0.402117 + 3.82588i
\(323\) −5.30655 16.3319i −0.295264 0.908730i
\(324\) −21.4402 29.5623i −1.19112 1.64235i
\(325\) −0.504307 4.43166i −0.0279739 0.245824i
\(326\) 3.86262 6.69025i 0.213931 0.370539i
\(327\) 20.5933 7.28757i 1.13881 0.403004i
\(328\) 3.53864 + 1.57550i 0.195389 + 0.0869927i
\(329\) −19.0744 8.49245i −1.05160 0.468204i
\(330\) 8.49694 12.4719i 0.467741 0.686557i
\(331\) −2.23440 + 0.994818i −0.122814 + 0.0546801i −0.467224 0.884139i \(-0.654746\pi\)
0.344410 + 0.938819i \(0.388079\pi\)
\(332\) −15.7583 −0.864850
\(333\) −11.7208 7.61863i −0.642298 0.417499i
\(334\) 2.18205 6.71566i 0.119397 0.367465i
\(335\) −6.48593 + 4.75500i −0.354364 + 0.259793i
\(336\) 29.3084 + 25.0424i 1.59890 + 1.36618i
\(337\) −1.79424 + 0.381377i −0.0977383 + 0.0207749i −0.256521 0.966539i \(-0.582576\pi\)
0.158783 + 0.987314i \(0.449243\pi\)
\(338\) 29.3810 6.24513i 1.59812 0.339690i
\(339\) 16.8090 + 14.3623i 0.912938 + 0.780055i
\(340\) 10.4050 32.4976i 0.564291 1.76243i
\(341\) −0.963842 + 2.96640i −0.0521950 + 0.160640i
\(342\) 30.0463 15.2934i 1.62472 0.826972i
\(343\) −62.3814 −3.36828
\(344\) 38.0951 16.9610i 2.05395 0.914477i
\(345\) 12.9904 + 16.7871i 0.699382 + 0.903786i
\(346\) 35.7356 + 15.9105i 1.92116 + 0.855354i
\(347\) −0.272573 0.121357i −0.0146325 0.00651481i 0.399407 0.916774i \(-0.369216\pi\)
−0.414040 + 0.910259i \(0.635883\pi\)
\(348\) −0.279522 + 0.0989177i −0.0149840 + 0.00530255i
\(349\) −8.44783 + 14.6321i −0.452202 + 0.783237i −0.998523 0.0543395i \(-0.982695\pi\)
0.546321 + 0.837576i \(0.316028\pi\)
\(350\) −42.5407 46.4378i −2.27389 2.48220i
\(351\) 3.82168 2.62301i 0.203986 0.140006i
\(352\) −0.281569 0.866579i −0.0150077 0.0461888i
\(353\) −0.760861 7.23910i −0.0404965 0.385299i −0.995933 0.0901008i \(-0.971281\pi\)
0.955436 0.295198i \(-0.0953856\pi\)
\(354\) 24.7097 + 32.2164i 1.31331 + 1.71228i
\(355\) −4.25191 0.884702i −0.225668 0.0469551i
\(356\) 1.28415 12.2179i 0.0680598 0.647545i
\(357\) −29.2927 15.9126i −1.55033 0.842186i
\(358\) −40.0422 + 17.8279i −2.11629 + 0.942235i
\(359\) −8.36007 + 25.7297i −0.441228 + 1.35796i 0.445340 + 0.895361i \(0.353083\pi\)
−0.886568 + 0.462598i \(0.846917\pi\)
\(360\) 33.5744 + 5.18445i 1.76952 + 0.273245i
\(361\) 0.571423 + 1.75866i 0.0300749 + 0.0925610i
\(362\) −30.1783 33.5164i −1.58614 1.76158i
\(363\) −3.43126 14.3055i −0.180094 0.750845i
\(364\) −12.3948 + 13.7658i −0.649662 + 0.721523i
\(365\) 15.8738 27.7690i 0.830873 1.45349i
\(366\) −7.20485 30.0383i −0.376603 1.57013i
\(367\) 7.03463 3.13202i 0.367205 0.163490i −0.214835 0.976650i \(-0.568921\pi\)
0.582040 + 0.813160i \(0.302255\pi\)
\(368\) 23.8358 1.24252
\(369\) 0.121057 2.29141i 0.00630199 0.119286i
\(370\) 25.0614 5.43956i 1.30288 0.282789i
\(371\) 1.32250 + 12.5828i 0.0686610 + 0.653265i
\(372\) −13.7280 + 1.80438i −0.711765 + 0.0935529i
\(373\) −15.6677 + 17.4007i −0.811241 + 0.900974i −0.996658 0.0816856i \(-0.973970\pi\)
0.185417 + 0.982660i \(0.440636\pi\)
\(374\) 7.32716 + 12.6910i 0.378879 + 0.656237i
\(375\) −18.6357 5.26419i −0.962342 0.271842i
\(376\) −10.3310 + 17.8939i −0.532782 + 0.922806i
\(377\) −0.0116299 0.0357932i −0.000598972 0.00184345i
\(378\) 21.8861 61.6804i 1.12570 3.17250i
\(379\) −5.93052 + 4.30878i −0.304630 + 0.221327i −0.729589 0.683886i \(-0.760289\pi\)
0.424959 + 0.905213i \(0.360289\pi\)
\(380\) −12.6329 + 39.4557i −0.648052 + 2.02403i
\(381\) 7.48835 10.8907i 0.383640 0.557947i
\(382\) −13.5509 23.4709i −0.693327 1.20088i
\(383\) −1.83428 + 17.4521i −0.0937276 + 0.891758i 0.842105 + 0.539314i \(0.181316\pi\)
−0.935833 + 0.352445i \(0.885350\pi\)
\(384\) −23.9677 + 22.7349i −1.22310 + 1.16019i
\(385\) 18.1165 0.0778046i 0.923303 0.00396529i
\(386\) 4.91242 + 15.1189i 0.250035 + 0.769530i
\(387\) −17.4600 17.4747i −0.887540 0.888289i
\(388\) −6.52616 + 20.0854i −0.331315 + 1.01968i
\(389\) −0.325778 0.0692462i −0.0165176 0.00351092i 0.199645 0.979868i \(-0.436021\pi\)
−0.216163 + 0.976357i \(0.569354\pi\)
\(390\) −1.51545 + 8.36716i −0.0767376 + 0.423688i
\(391\) −20.1613 + 4.28542i −1.01960 + 0.216723i
\(392\) −10.1583 + 96.6495i −0.513070 + 4.88154i
\(393\) −3.83948 + 2.35172i −0.193676 + 0.118629i
\(394\) 56.7187 25.2528i 2.85745 1.27222i
\(395\) 5.06843 5.67792i 0.255021 0.285687i
\(396\) −14.9821 + 12.1218i −0.752881 + 0.609145i
\(397\) 19.6674 14.2892i 0.987079 0.717155i 0.0277993 0.999614i \(-0.491150\pi\)
0.959279 + 0.282459i \(0.0911501\pi\)
\(398\) −5.97532 1.27009i −0.299516 0.0636640i
\(399\) 35.5646 + 19.3197i 1.78046 + 0.967197i
\(400\) −17.4821 + 12.9323i −0.874103 + 0.646616i
\(401\) −10.6053 18.3689i −0.529604 0.917301i −0.999404 0.0345279i \(-0.989007\pi\)
0.469800 0.882773i \(-0.344326\pi\)
\(402\) 14.4538 5.11493i 0.720890 0.255109i
\(403\) −0.183704 1.74783i −0.00915096 0.0870655i
\(404\) 51.1050 37.1300i 2.54257 1.84729i
\(405\) −4.25205 19.6703i −0.211286 0.977424i
\(406\) −0.429911 0.312348i −0.0213361 0.0155016i
\(407\) −3.68862 + 6.38888i −0.182838 + 0.316685i
\(408\) −18.6907 + 27.1829i −0.925328 + 1.34575i
\(409\) 15.8046 3.35938i 0.781489 0.166111i 0.200143 0.979767i \(-0.435859\pi\)
0.581347 + 0.813656i \(0.302526\pi\)
\(410\) 2.83007 + 3.11610i 0.139767 + 0.153893i
\(411\) −1.77376 + 9.55910i −0.0874931 + 0.471515i
\(412\) −43.2110 47.9907i −2.12886 2.36433i
\(413\) −15.0617 + 46.3553i −0.741140 + 2.28099i
\(414\) −14.4862 37.7854i −0.711956 1.85705i
\(415\) −7.94837 3.49802i −0.390170 0.171711i
\(416\) 0.343537 + 0.381537i 0.0168433 + 0.0187064i
\(417\) −2.97763 0.234976i −0.145815 0.0115068i
\(418\) −8.89600 15.4083i −0.435118 0.753646i
\(419\) −1.47939 + 14.0755i −0.0722731 + 0.687633i 0.897064 + 0.441900i \(0.145695\pi\)
−0.969338 + 0.245733i \(0.920971\pi\)
\(420\) 34.9193 + 72.4470i 1.70389 + 3.53505i
\(421\) 2.61246 + 24.8559i 0.127324 + 1.21140i 0.852458 + 0.522796i \(0.175111\pi\)
−0.725134 + 0.688607i \(0.758222\pi\)
\(422\) 13.7314 9.97642i 0.668432 0.485644i
\(423\) 12.0884 + 1.91984i 0.587756 + 0.0933456i
\(424\) 12.5203 0.608042
\(425\) 12.4620 14.0818i 0.604495 0.683068i
\(426\) 7.27550 + 3.95226i 0.352499 + 0.191488i
\(427\) 24.8133 27.5580i 1.20080 1.33362i
\(428\) 10.2118 + 4.54658i 0.493605 + 0.219767i
\(429\) −1.48870 1.94096i −0.0718752 0.0937105i
\(430\) 45.3161 0.194618i 2.18534 0.00938531i
\(431\) 4.09020 + 2.97170i 0.197018 + 0.143142i 0.681921 0.731426i \(-0.261145\pi\)
−0.484903 + 0.874568i \(0.661145\pi\)
\(432\) −20.3910 9.74185i −0.981062 0.468705i
\(433\) 16.2872 + 11.8334i 0.782715 + 0.568676i 0.905793 0.423721i \(-0.139276\pi\)
−0.123078 + 0.992397i \(0.539276\pi\)
\(434\) −16.6043 18.4410i −0.797033 0.885195i
\(435\) −0.162947 0.0121548i −0.00781269 0.000582780i
\(436\) 34.2428 38.0305i 1.63993 1.82133i
\(437\) 24.4781 5.20299i 1.17095 0.248893i
\(438\) −44.2419 + 41.9663i −2.11396 + 2.00523i
\(439\) 38.8328 + 8.25417i 1.85339 + 0.393950i 0.993239 0.116090i \(-0.0370360\pi\)
0.860151 + 0.510040i \(0.170369\pi\)
\(440\) 1.79740 17.8377i 0.0856877 0.850380i
\(441\) 55.6136 14.8765i 2.64827 0.708403i
\(442\) −6.68012 4.85339i −0.317741 0.230852i
\(443\) 14.2137 24.6188i 0.675313 1.16968i −0.301065 0.953604i \(-0.597342\pi\)
0.976377 0.216072i \(-0.0693246\pi\)
\(444\) −32.6475 2.57634i −1.54938 0.122268i
\(445\) 3.35983 5.87754i 0.159271 0.278622i
\(446\) −29.6556 13.2035i −1.40423 0.625205i
\(447\) 8.27008 19.9538i 0.391161 0.943784i
\(448\) −36.4503 7.74774i −1.72211 0.366046i
\(449\) −32.9656 −1.55574 −0.777871 0.628424i \(-0.783700\pi\)
−0.777871 + 0.628424i \(0.783700\pi\)
\(450\) 31.1255 + 19.8536i 1.46727 + 0.935910i
\(451\) −1.21092 −0.0570202
\(452\) 50.6629 + 10.7687i 2.38298 + 0.506518i
\(453\) −12.7550 + 1.67649i −0.599281 + 0.0787683i
\(454\) −39.4176 17.5498i −1.84996 0.823655i
\(455\) −9.30754 + 4.19197i −0.436344 + 0.196523i
\(456\) 22.6926 33.0031i 1.06268 1.54551i
\(457\) 14.1520 24.5120i 0.662004 1.14663i −0.318084 0.948063i \(-0.603039\pi\)
0.980088 0.198563i \(-0.0636273\pi\)
\(458\) −32.3547 23.5070i −1.51183 1.09841i
\(459\) 18.9991 + 4.57399i 0.886801 + 0.213496i
\(460\) 45.5137 + 20.0303i 2.12209 + 0.933916i
\(461\) −16.2616 3.45651i −0.757378 0.160986i −0.186991 0.982362i \(-0.559874\pi\)
−0.570387 + 0.821376i \(0.693207\pi\)
\(462\) −33.1143 9.81650i −1.54062 0.456705i
\(463\) −10.6551 + 2.26481i −0.495185 + 0.105255i −0.448733 0.893666i \(-0.648125\pi\)
−0.0464518 + 0.998921i \(0.514791\pi\)
\(464\) −0.122776 + 0.136357i −0.00569975 + 0.00633022i
\(465\) −7.32484 2.13722i −0.339681 0.0991112i
\(466\) 31.4064 + 34.8803i 1.45487 + 1.61580i
\(467\) 19.9438 + 14.4900i 0.922888 + 0.670517i 0.944241 0.329255i \(-0.106797\pi\)
−0.0213532 + 0.999772i \(0.506797\pi\)
\(468\) 4.93390 9.67322i 0.228069 0.447145i
\(469\) 14.8906 + 10.8187i 0.687586 + 0.499560i
\(470\) −18.1087 + 13.2760i −0.835293 + 0.612374i
\(471\) −6.24123 + 15.0587i −0.287580 + 0.693867i
\(472\) 44.0633 + 19.6182i 2.02818 + 0.903003i
\(473\) −8.72289 + 9.68775i −0.401079 + 0.445443i
\(474\) −12.3735 + 7.57890i −0.568333 + 0.348110i
\(475\) −15.1303 + 17.0969i −0.694224 + 0.784460i
\(476\) −78.0949 −3.57947
\(477\) −2.65504 6.92534i −0.121566 0.317089i
\(478\) 13.8749 10.0807i 0.634621 0.461079i
\(479\) 4.05028 + 38.5358i 0.185062 + 1.76075i 0.555150 + 0.831750i \(0.312661\pi\)
−0.370089 + 0.928996i \(0.620673\pi\)
\(480\) 2.09813 0.752644i 0.0957662 0.0343533i
\(481\) 0.434500 4.13399i 0.0198115 0.188494i
\(482\) 3.73324 + 6.46616i 0.170044 + 0.294526i
\(483\) 27.5243 40.0300i 1.25240 1.82143i
\(484\) −23.0607 25.6115i −1.04821 1.16416i
\(485\) −7.75029 + 8.68227i −0.351923 + 0.394242i
\(486\) −3.05055 + 38.2452i −0.138376 + 1.73484i
\(487\) −0.280386 + 0.862940i −0.0127055 + 0.0391036i −0.957208 0.289400i \(-0.906544\pi\)
0.944503 + 0.328503i \(0.106544\pi\)
\(488\) −24.5549 27.2710i −1.11155 1.23450i
\(489\) −5.12507 + 1.81367i −0.231764 + 0.0820168i
\(490\) −52.4115 + 91.6865i −2.36771 + 4.14197i
\(491\) −4.57995 + 0.973499i −0.206690 + 0.0439334i −0.310093 0.950706i \(-0.600360\pi\)
0.103403 + 0.994640i \(0.467027\pi\)
\(492\) −2.31320 4.85236i −0.104287 0.218761i
\(493\) 0.0793341 0.137411i 0.00357303 0.00618866i
\(494\) 8.11042 + 5.89257i 0.364905 + 0.265119i
\(495\) −10.2477 + 2.78843i −0.460598 + 0.125331i
\(496\) −6.93189 + 5.03631i −0.311251 + 0.226137i
\(497\) 1.03897 + 9.88510i 0.0466040 + 0.443407i
\(498\) 12.5868 + 10.7548i 0.564029 + 0.481932i
\(499\) 7.00291 + 12.1294i 0.313493 + 0.542986i 0.979116 0.203302i \(-0.0651673\pi\)
−0.665623 + 0.746288i \(0.731834\pi\)
\(500\) −44.2491 + 10.0030i −1.97888 + 0.447347i
\(501\) −4.23754 + 2.59554i −0.189319 + 0.115960i
\(502\) −35.1986 7.48170i −1.57099 0.333925i
\(503\) 23.8114 17.3000i 1.06170 0.771370i 0.0872979 0.996182i \(-0.472177\pi\)
0.974402 + 0.224812i \(0.0721768\pi\)
\(504\) −12.1305 76.7986i −0.540335 3.42088i
\(505\) 34.0191 7.38381i 1.51383 0.328575i
\(506\) −19.5092 + 8.68607i −0.867291 + 0.386143i
\(507\) −18.5746 10.0903i −0.824928 0.448125i
\(508\) 3.23647 30.7929i 0.143595 1.36621i
\(509\) −5.59125 + 1.18846i −0.247828 + 0.0526774i −0.330150 0.943928i \(-0.607099\pi\)
0.0823228 + 0.996606i \(0.473766\pi\)
\(510\) −30.4899 + 18.8559i −1.35012 + 0.834955i
\(511\) −71.6048 15.2201i −3.16761 0.673296i
\(512\) −12.8388 + 39.5137i −0.567399 + 1.74628i
\(513\) −23.0670 5.55334i −1.01843 0.245186i
\(514\) −13.5988 41.8529i −0.599819 1.84605i
\(515\) −11.1424 33.7981i −0.490991 1.48932i
\(516\) −55.4834 16.4477i −2.44252 0.724068i
\(517\) 0.675179 6.42390i 0.0296943 0.282523i
\(518\) −29.3462 50.8290i −1.28940 2.23330i
\(519\) −11.8460 24.8492i −0.519982 1.09076i
\(520\) 3.16282 + 9.59378i 0.138699 + 0.420715i
\(521\) −6.83148 + 4.96336i −0.299293 + 0.217449i −0.727288 0.686332i \(-0.759220\pi\)
0.427996 + 0.903781i \(0.359220\pi\)
\(522\) 0.290776 + 0.111759i 0.0127269 + 0.00489157i
\(523\) −0.335514 1.03260i −0.0146710 0.0451527i 0.943453 0.331506i \(-0.107557\pi\)
−0.958124 + 0.286354i \(0.907557\pi\)
\(524\) −5.27390 + 9.13467i −0.230392 + 0.399050i
\(525\) 1.53130 + 44.2931i 0.0668316 + 1.93311i
\(526\) −15.0981 26.1507i −0.658309 1.14022i
\(527\) 4.95782 5.50621i 0.215966 0.239854i
\(528\) −4.56615 + 11.0171i −0.198716 + 0.479457i
\(529\) −0.735583 6.99860i −0.0319819 0.304287i
\(530\) 12.4535 + 5.48067i 0.540943 + 0.238065i
\(531\) 1.50741 28.5328i 0.0654160 1.23822i
\(532\) 94.8160 4.11079
\(533\) 0.623315 0.277518i 0.0269988 0.0120206i
\(534\) −9.36418 + 8.88252i −0.405228 + 0.384384i
\(535\) 4.14149 + 4.56006i 0.179052 + 0.197149i
\(536\) 12.1877 13.5358i 0.526427 0.584656i
\(537\) 29.5738 + 8.76693i 1.27620 + 0.378321i
\(538\) 38.2718 + 42.5051i 1.65001 + 1.83253i
\(539\) −9.38811 28.8936i −0.404375 1.24454i
\(540\) −30.7496 35.7373i −1.32325 1.53789i
\(541\) 3.62252 11.1490i 0.155744 0.479331i −0.842491 0.538710i \(-0.818912\pi\)
0.998236 + 0.0593787i \(0.0189120\pi\)
\(542\) −61.1752 + 27.2369i −2.62770 + 1.16993i
\(543\) 0.824138 + 31.7283i 0.0353671 + 1.36159i
\(544\) −0.226252 + 2.15264i −0.00970048 + 0.0922939i
\(545\) 25.7138 11.5811i 1.10146 0.496079i
\(546\) 19.2951 2.53611i 0.825755 0.108535i
\(547\) 2.00229 + 19.0505i 0.0856115 + 0.814539i 0.950112 + 0.311908i \(0.100968\pi\)
−0.864501 + 0.502631i \(0.832365\pi\)
\(548\) 7.03820 + 21.6614i 0.300657 + 0.925328i
\(549\) −9.87727 + 19.3650i −0.421551 + 0.826479i
\(550\) 9.59610 16.9556i 0.409179 0.722990i
\(551\) −0.0963205 + 0.166832i −0.00410339 + 0.00710728i
\(552\) −36.5490 31.2292i −1.55563 1.32920i
\(553\) −15.9130 7.08494i −0.676691 0.301282i
\(554\) 39.5937 + 17.6283i 1.68218 + 0.748953i
\(555\) −15.8953 8.54656i −0.674716 0.362781i
\(556\) −6.39235 + 2.84606i −0.271096 + 0.120700i
\(557\) 18.2151 0.771799 0.385899 0.922541i \(-0.373891\pi\)
0.385899 + 0.922541i \(0.373891\pi\)
\(558\) 12.1966 + 7.92789i 0.516324 + 0.335614i
\(559\) 2.26983 6.98581i 0.0960034 0.295468i
\(560\) 40.3883 + 29.0796i 1.70672 + 1.22884i
\(561\) 1.88149 10.1397i 0.0794366 0.428098i
\(562\) −34.7337 + 7.38288i −1.46515 + 0.311428i
\(563\) 13.2459 2.81550i 0.558248 0.118659i 0.0798570 0.996806i \(-0.474554\pi\)
0.478391 + 0.878147i \(0.341220\pi\)
\(564\) 27.0313 9.56587i 1.13822 0.402796i
\(565\) 23.1635 + 16.6778i 0.974497 + 0.701639i
\(566\) −9.44896 + 29.0809i −0.397169 + 1.22236i
\(567\) −39.9070 + 22.9955i −1.67594 + 0.965718i
\(568\) 9.83605 0.412711
\(569\) 21.6080 9.62051i 0.905855 0.403313i 0.0997002 0.995018i \(-0.468212\pi\)
0.806155 + 0.591705i \(0.201545\pi\)
\(570\) 37.0182 22.8932i 1.55052 0.958893i
\(571\) −33.2067 14.7846i −1.38966 0.618715i −0.430760 0.902467i \(-0.641754\pi\)
−0.958898 + 0.283751i \(0.908421\pi\)
\(572\) −5.23506 2.33080i −0.218889 0.0974556i
\(573\) −3.47965 + 18.7525i −0.145365 + 0.783395i
\(574\) 4.81697 8.34323i 0.201056 0.348240i
\(575\) 18.5105 + 20.2062i 0.771940 + 0.842657i
\(576\) 21.8156 1.13408i 0.908982 0.0472532i
\(577\) 10.9221 + 33.6148i 0.454694 + 1.39940i 0.871494 + 0.490406i \(0.163151\pi\)
−0.416801 + 0.908998i \(0.636849\pi\)
\(578\) 0.734772 + 6.99088i 0.0305625 + 0.290782i
\(579\) 4.28334 10.3347i 0.178010 0.429497i
\(580\) −0.349025 + 0.157196i −0.0144925 + 0.00652719i
\(581\) −2.07748 + 19.7659i −0.0861883 + 0.820027i
\(582\) 18.9207 11.5891i 0.784287 0.480384i
\(583\) −3.57567 + 1.59199i −0.148089 + 0.0659334i
\(584\) −22.3859 + 68.8966i −0.926334 + 2.85096i
\(585\) 4.63587 3.78388i 0.191670 0.156444i
\(586\) −17.1619 52.8189i −0.708951 2.18193i
\(587\) 25.3314 + 28.1334i 1.04554 + 1.16119i 0.986638 + 0.162925i \(0.0520928\pi\)
0.0589006 + 0.998264i \(0.481240\pi\)
\(588\) 97.8473 92.8144i 4.03515 3.82760i
\(589\) −6.01935 + 6.68517i −0.248023 + 0.275457i
\(590\) 35.2402 + 38.8017i 1.45081 + 1.59744i
\(591\) −41.8905 12.4181i −1.72314 0.510814i
\(592\) −18.5138 + 8.24286i −0.760911 + 0.338780i
\(593\) 33.1095 1.35964 0.679822 0.733377i \(-0.262057\pi\)
0.679822 + 0.733377i \(0.262057\pi\)
\(594\) 20.2398 + 0.542814i 0.830449 + 0.0222719i
\(595\) −39.3904 17.3354i −1.61485 0.710684i
\(596\) −5.28927 50.3240i −0.216657 2.06135i
\(597\) 2.61634 + 3.41117i 0.107080 + 0.139610i
\(598\) 8.05159 8.94220i 0.329254 0.365674i
\(599\) 16.9563 + 29.3692i 0.692816 + 1.19999i 0.970912 + 0.239439i \(0.0769634\pi\)
−0.278096 + 0.960553i \(0.589703\pi\)
\(600\) 43.7501 + 3.07462i 1.78609 + 0.125521i
\(601\) 7.45268 12.9084i 0.304001 0.526545i −0.673037 0.739608i \(-0.735011\pi\)
0.977038 + 0.213063i \(0.0683441\pi\)
\(602\) −32.0493 98.6376i −1.30623 4.02017i
\(603\) −10.0715 3.87096i −0.410143 0.157638i
\(604\) −24.3820 + 17.7145i −0.992088 + 0.720794i
\(605\) −5.94642 18.0373i −0.241756 0.733319i
\(606\) −66.1603 5.22097i −2.68758 0.212087i
\(607\) −1.90528 3.30004i −0.0773328 0.133944i 0.824766 0.565475i \(-0.191307\pi\)
−0.902098 + 0.431530i \(0.857974\pi\)
\(608\) 0.274696 2.61355i 0.0111404 0.105994i
\(609\) 0.0872235 + 0.363650i 0.00353447 + 0.0147358i
\(610\) −12.4861 37.8740i −0.505547 1.53347i
\(611\) 1.12468 + 3.46140i 0.0454995 + 0.140033i
\(612\) 44.2254 11.8302i 1.78771 0.478206i
\(613\) 0.301134 0.926794i 0.0121627 0.0374329i −0.944791 0.327674i \(-0.893735\pi\)
0.956954 + 0.290241i \(0.0937354\pi\)
\(614\) 66.3143 + 14.0955i 2.67623 + 0.568850i
\(615\) −0.0896372 2.96097i −0.00361452 0.119398i
\(616\) −40.1344 + 8.53083i −1.61706 + 0.343717i
\(617\) −3.08552 + 29.3567i −0.124218 + 1.18186i 0.737814 + 0.675004i \(0.235858\pi\)
−0.862032 + 0.506853i \(0.830809\pi\)
\(618\) 1.76169 + 67.8230i 0.0708656 + 2.72824i
\(619\) −3.98573 + 1.77456i −0.160200 + 0.0713256i −0.485270 0.874364i \(-0.661279\pi\)
0.325070 + 0.945690i \(0.394612\pi\)
\(620\) −17.4685 + 3.79153i −0.701552 + 0.152271i
\(621\) −9.52318 + 26.8386i −0.382152 + 1.07700i
\(622\) −1.00972 + 0.733602i −0.0404859 + 0.0294148i
\(623\) −15.1558 3.22146i −0.607203 0.129065i
\(624\) −0.174484 6.71744i −0.00698497 0.268913i
\(625\) −24.5394 4.77697i −0.981575 0.191079i
\(626\) 16.2712 + 28.1825i 0.650327 + 1.12640i
\(627\) −2.28434 + 12.3107i −0.0912278 + 0.491643i
\(628\) 3.99168 + 37.9783i 0.159285 + 1.51550i
\(629\) 14.1778 10.3008i 0.565305 0.410718i
\(630\) 21.5522 81.6984i 0.858662 3.25494i
\(631\) 39.3657 + 28.6008i 1.56712 + 1.13858i 0.929848 + 0.367944i \(0.119938\pi\)
0.637274 + 0.770637i \(0.280062\pi\)
\(632\) −8.61881 + 14.9282i −0.342838 + 0.593812i
\(633\) −11.9074 0.939660i −0.473277 0.0373481i
\(634\) 25.2551 5.36814i 1.00301 0.213196i
\(635\) 8.46783 14.8133i 0.336036 0.587847i
\(636\) −13.2099 11.2871i −0.523805 0.447563i
\(637\) 11.4543 + 12.7213i 0.453835 + 0.504035i
\(638\) 0.0508004 0.156348i 0.00201121 0.00618986i
\(639\) −2.08581 5.44058i −0.0825134 0.215226i
\(640\) −28.4009 + 31.8162i −1.12265 + 1.25764i
\(641\) 3.32735 + 3.69539i 0.131422 + 0.145959i 0.805264 0.592917i \(-0.202024\pi\)
−0.673842 + 0.738876i \(0.735357\pi\)
\(642\) −5.05362 10.6009i −0.199451 0.418384i
\(643\) 1.30748 + 2.26463i 0.0515621 + 0.0893081i 0.890654 0.454681i \(-0.150247\pi\)
−0.839092 + 0.543989i \(0.816913\pi\)
\(644\) 11.8960 113.183i 0.468768 4.46003i
\(645\) −24.3344 20.6122i −0.958164 0.811606i
\(646\) 4.41790 + 42.0335i 0.173820 + 1.65379i
\(647\) 13.0683 9.49465i 0.513767 0.373273i −0.300484 0.953787i \(-0.597148\pi\)
0.814251 + 0.580514i \(0.197148\pi\)
\(648\) 18.5034 + 41.6538i 0.726881 + 1.63631i
\(649\) −15.0785 −0.591882
\(650\) −1.05367 + 10.9270i −0.0413282 + 0.428593i
\(651\) 0.453447 + 17.4571i 0.0177720 + 0.684199i
\(652\) −8.52204 + 9.46469i −0.333749 + 0.370666i
\(653\) −15.8839 7.07197i −0.621585 0.276748i 0.0716826 0.997427i \(-0.477163\pi\)
−0.693268 + 0.720680i \(0.743830\pi\)
\(654\) −53.3063 + 7.00647i −2.08444 + 0.273975i
\(655\) −4.68782 + 3.43676i −0.183168 + 0.134285i
\(656\) −2.69119 1.95527i −0.105073 0.0763403i
\(657\) 42.8556 2.22784i 1.67196 0.0869163i
\(658\) 41.5747 + 30.2058i 1.62075 + 1.17754i
\(659\) −30.1579 33.4938i −1.17479 1.30473i −0.943319 0.331889i \(-0.892314\pi\)
−0.231467 0.972843i \(-0.574353\pi\)
\(660\) −17.9771 + 17.1997i −0.699757 + 0.669497i
\(661\) −20.4456 + 22.7072i −0.795243 + 0.883207i −0.995326 0.0965717i \(-0.969212\pi\)
0.200083 + 0.979779i \(0.435879\pi\)
\(662\) 5.88825 1.25159i 0.228853 0.0486443i
\(663\) 1.35531 + 5.65053i 0.0526360 + 0.219449i
\(664\) 19.2380 + 4.08917i 0.746580 + 0.158690i
\(665\) 47.8244 + 21.0472i 1.85455 + 0.816174i
\(666\) 24.3187 + 24.3392i 0.942329 + 0.943124i
\(667\) 0.187065 + 0.135910i 0.00724317 + 0.00526247i
\(668\) −5.82068 + 10.0817i −0.225209 + 0.390073i
\(669\) 9.83056 + 20.6214i 0.380071 + 0.797269i
\(670\) 18.0477 8.12841i 0.697244 0.314028i
\(671\) 10.4802 + 4.66608i 0.404583 + 0.180132i
\(672\) −3.10474 4.04795i −0.119768 0.156153i
\(673\) 14.1717 + 3.01229i 0.546279 + 0.116115i 0.472781 0.881180i \(-0.343250\pi\)
0.0734983 + 0.997295i \(0.476584\pi\)
\(674\) 4.51468 0.173899
\(675\) −7.57690 24.8514i −0.291635 0.956530i
\(676\) −49.5203 −1.90463
\(677\) 11.5152 + 2.44762i 0.442563 + 0.0940697i 0.423803 0.905754i \(-0.360695\pi\)
0.0187600 + 0.999824i \(0.494028\pi\)
\(678\) −33.1171 43.1779i −1.27186 1.65824i
\(679\) 24.3331 + 10.8338i 0.933819 + 0.415763i
\(680\) −21.1355 + 36.9735i −0.810509 + 1.41787i
\(681\) 13.0666 + 27.4095i 0.500712 + 1.05033i
\(682\) 3.83835 6.64822i 0.146978 0.254574i
\(683\) −7.80859 5.67327i −0.298787 0.217082i 0.428283 0.903645i \(-0.359119\pi\)
−0.727070 + 0.686563i \(0.759119\pi\)
\(684\) −53.6946 + 14.3632i −2.05307 + 0.549189i
\(685\) −1.25836 + 12.4882i −0.0480794 + 0.477148i
\(686\) 150.180 + 31.9217i 5.73389 + 1.21878i
\(687\) 6.56435 + 27.3679i 0.250446 + 1.04415i
\(688\) −35.0287 + 7.44558i −1.33546 + 0.283860i
\(689\) 1.47570 1.63893i 0.0562198 0.0624384i
\(690\) −22.6835 47.0613i −0.863545 1.79159i
\(691\) 0.577170 + 0.641012i 0.0219566 + 0.0243852i 0.754023 0.656848i \(-0.228111\pi\)
−0.732067 + 0.681233i \(0.761444\pi\)
\(692\) −52.1734 37.9062i −1.98334 1.44098i
\(693\) 13.2294 + 20.3904i 0.502545 + 0.774567i
\(694\) 0.594103 + 0.431641i 0.0225518 + 0.0163849i
\(695\) −3.85602 + 0.0165603i −0.146267 + 0.000628170i
\(696\) 0.366914 0.0482264i 0.0139078 0.00182802i
\(697\) 2.62787 + 1.17000i 0.0995375 + 0.0443170i
\(698\) 27.8251 30.9029i 1.05320 1.16969i
\(699\) −0.857675 33.0195i −0.0324403 1.24891i
\(700\) 52.6835 + 89.4670i 1.99125 + 3.38153i
\(701\) −9.06128 −0.342240 −0.171120 0.985250i \(-0.554739\pi\)
−0.171120 + 0.985250i \(0.554739\pi\)
\(702\) −10.5427 + 4.35912i −0.397909 + 0.164524i
\(703\) −17.2134 + 12.5063i −0.649216 + 0.471683i
\(704\) −1.20502 11.4650i −0.0454160 0.432104i
\(705\) 15.7578 + 1.17544i 0.593473 + 0.0442695i
\(706\) −1.87265 + 17.8171i −0.0704781 + 0.670554i
\(707\) −39.8353 68.9968i −1.49816 2.59489i
\(708\) −28.8040 60.4217i −1.08252 2.27079i
\(709\) −28.8143 32.0015i −1.08214 1.20184i −0.978288 0.207251i \(-0.933548\pi\)
−0.103856 0.994592i \(-0.533118\pi\)
\(710\) 9.78350 + 4.30564i 0.367168 + 0.161588i
\(711\) 10.0849 + 1.60165i 0.378212 + 0.0600665i
\(712\) −4.73816 + 14.5825i −0.177570 + 0.546504i
\(713\) 7.22495 + 8.02412i 0.270576 + 0.300506i
\(714\) 62.3777 + 53.2983i 2.33443 + 1.99464i
\(715\) −2.12314 2.33771i −0.0794007 0.0874255i
\(716\) 70.6826 15.0241i 2.64153 0.561476i
\(717\) −12.0318 0.949480i −0.449337 0.0354590i
\(718\) 33.2927 57.6647i 1.24247 2.15203i
\(719\) 22.4736 + 16.3280i 0.838124 + 0.608933i 0.921846 0.387556i \(-0.126681\pi\)
−0.0837219 + 0.996489i \(0.526681\pi\)
\(720\) −27.2772 10.3497i −1.01656 0.385711i
\(721\) −65.8922 + 47.8735i −2.45395 + 1.78290i
\(722\) −0.475731 4.52628i −0.0177049 0.168451i
\(723\) 0.958633 5.16624i 0.0356519 0.192134i
\(724\) 37.1771 + 64.3926i 1.38167 + 2.39313i
\(725\) −0.210940 + 0.00181187i −0.00783411 + 6.72911e-5i
\(726\) 0.940174 + 36.1955i 0.0348931 + 1.34334i
\(727\) −28.1735 5.98845i −1.04490 0.222099i −0.346677 0.937984i \(-0.612690\pi\)
−0.698218 + 0.715885i \(0.746023\pi\)
\(728\) 18.7039 13.5891i 0.693211 0.503647i
\(729\) 19.1160 19.0677i 0.708001 0.706211i
\(730\) −52.4251 + 58.7293i −1.94034 + 2.17367i
\(731\) 28.2902 12.5956i 1.04635 0.465865i
\(732\) 1.32236 + 50.9092i 0.0488758 + 1.88166i
\(733\) −1.31486 + 12.5100i −0.0485654 + 0.462069i 0.943032 + 0.332703i \(0.107961\pi\)
−0.991597 + 0.129366i \(0.958706\pi\)
\(734\) −18.5382 + 3.94041i −0.684256 + 0.145443i
\(735\) 69.9563 25.0948i 2.58038 0.925635i
\(736\) −3.08536 0.655815i −0.113728 0.0241736i
\(737\) −1.75955 + 5.41535i −0.0648140 + 0.199477i
\(738\) −1.46400 + 5.45450i −0.0538904 + 0.200783i
\(739\) −14.5062 44.6456i −0.533620 1.64231i −0.746612 0.665259i \(-0.768321\pi\)
0.212992 0.977054i \(-0.431679\pi\)
\(740\) −42.2784 + 0.181572i −1.55419 + 0.00667472i
\(741\) −1.64550 6.86039i −0.0604490 0.252023i
\(742\) 3.25498 30.9691i 0.119494 1.13691i
\(743\) 3.97180 + 6.87937i 0.145711 + 0.252379i 0.929638 0.368474i \(-0.120120\pi\)
−0.783927 + 0.620853i \(0.786786\pi\)
\(744\) 17.2276 + 1.35950i 0.631596 + 0.0498417i
\(745\) 8.50302 26.5571i 0.311527 0.972978i
\(746\) 46.6232 33.8738i 1.70700 1.24021i
\(747\) −1.81774 11.5082i −0.0665077 0.421063i
\(748\) −7.46568 22.9770i −0.272972 0.840122i
\(749\) 7.04910 12.2094i 0.257568 0.446121i
\(750\) 42.1705 + 22.2094i 1.53985 + 0.810974i
\(751\) 6.40667 + 11.0967i 0.233783 + 0.404923i 0.958918 0.283683i \(-0.0915563\pi\)
−0.725136 + 0.688606i \(0.758223\pi\)
\(752\) 11.8731 13.1865i 0.432969 0.480861i
\(753\) 15.4120 + 20.0941i 0.561644 + 0.732268i
\(754\) 0.00968234 + 0.0921213i 0.000352610 + 0.00335486i
\(755\) −16.2303 + 3.52278i −0.590682 + 0.128207i
\(756\) −56.4355 + 91.9637i −2.05254 + 3.34469i
\(757\) 4.66915 0.169703 0.0848516 0.996394i \(-0.472958\pi\)
0.0848516 + 0.996394i \(0.472958\pi\)
\(758\) 16.4823 7.33838i 0.598663 0.266542i
\(759\) 14.4088 + 4.27140i 0.523008 + 0.155042i
\(760\) 25.6609 44.8901i 0.930818 1.62833i
\(761\) −0.322089 + 0.357716i −0.0116757 + 0.0129672i −0.748954 0.662622i \(-0.769444\pi\)
0.737279 + 0.675589i \(0.236110\pi\)
\(762\) −23.6007 + 22.3868i −0.854964 + 0.810987i
\(763\) −43.1878 47.9650i −1.56350 1.73645i
\(764\) 13.8071 + 42.4939i 0.499524 + 1.53738i
\(765\) 24.9330 + 3.85008i 0.901455 + 0.139200i
\(766\) 13.3465 41.0762i 0.482227 1.48414i
\(767\) 7.76155 3.45566i 0.280253 0.124777i
\(768\) 47.8246 29.2931i 1.72572 1.05702i
\(769\) −1.23257 + 11.7271i −0.0444476 + 0.422890i 0.949561 + 0.313584i \(0.101530\pi\)
−0.994008 + 0.109306i \(0.965137\pi\)
\(770\) −43.6543 9.08323i −1.57319 0.327337i
\(771\) −11.8574 +