Properties

Label 45.2.l.a.38.4
Level $45$
Weight $2$
Character 45.38
Analytic conductor $0.359$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 45.l (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.359326809096\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 34 x^{12} + 18 x^{11} - 72 x^{10} + 132 x^{9} - 93 x^{8} - 102 x^{7} + 144 x^{6} - 432 x^{5} + 502 x^{4} + 288 x^{3} + 72 x^{2} + 12 x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 38.4
Root \(-1.29724 - 0.347596i\) of defining polynomial
Character \(\chi\) \(=\) 45.38
Dual form 45.2.l.a.32.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29724 - 0.347596i) q^{2} +(-1.25897 - 1.18953i) q^{3} +(-0.170031 + 0.0981673i) q^{4} +(0.561484 + 2.16443i) q^{5} +(-2.04667 - 1.10550i) q^{6} +(-0.530190 - 1.97869i) q^{7} +(-2.08575 + 2.08575i) q^{8} +(0.170031 + 2.99518i) q^{9} +O(q^{10})\) \(q+(1.29724 - 0.347596i) q^{2} +(-1.25897 - 1.18953i) q^{3} +(-0.170031 + 0.0981673i) q^{4} +(0.561484 + 2.16443i) q^{5} +(-2.04667 - 1.10550i) q^{6} +(-0.530190 - 1.97869i) q^{7} +(-2.08575 + 2.08575i) q^{8} +(0.170031 + 2.99518i) q^{9} +(1.48073 + 2.61262i) q^{10} +(-0.762281 - 0.440103i) q^{11} +(0.330837 + 0.0786668i) q^{12} +(1.43820 - 5.36743i) q^{13} +(-1.37557 - 2.38256i) q^{14} +(1.86776 - 3.39286i) q^{15} +(-1.78439 + 3.09066i) q^{16} +(1.13610 + 1.13610i) q^{17} +(1.26168 + 3.82638i) q^{18} -1.52456i q^{19} +(-0.307945 - 0.312899i) q^{20} +(-1.68622 + 3.12180i) q^{21} +(-1.14184 - 0.305956i) q^{22} +(1.53331 + 0.410850i) q^{23} +(5.10696 - 0.144840i) q^{24} +(-4.36947 + 2.43058i) q^{25} -7.46278i q^{26} +(3.34879 - 3.97311i) q^{27} +(0.284392 + 0.284392i) q^{28} +(-0.796583 + 1.37972i) q^{29} +(1.24360 - 5.05059i) q^{30} +(3.49518 + 6.05383i) q^{31} +(0.286379 - 1.06878i) q^{32} +(0.436175 + 1.46084i) q^{33} +(1.86870 + 1.07889i) q^{34} +(3.98504 - 2.25856i) q^{35} +(-0.322939 - 0.492581i) q^{36} +(-4.25746 + 4.25746i) q^{37} +(-0.529931 - 1.97773i) q^{38} +(-8.19538 + 5.04667i) q^{39} +(-5.68555 - 3.34333i) q^{40} +(3.11546 - 1.79871i) q^{41} +(-1.10232 + 4.63586i) q^{42} +(-1.85841 + 0.497959i) q^{43} +0.172815 q^{44} +(-6.38737 + 2.04976i) q^{45} +2.13189 q^{46} +(-7.99942 + 2.14344i) q^{47} +(5.92294 - 1.76847i) q^{48} +(2.42805 - 1.40183i) q^{49} +(-4.82341 + 4.67186i) q^{50} +(-0.0788937 - 2.78174i) q^{51} +(0.282368 + 1.05381i) q^{52} +(-4.65601 + 4.65601i) q^{53} +(2.96317 - 6.31812i) q^{54} +(0.524562 - 1.89701i) q^{55} +(5.23290 + 3.02121i) q^{56} +(-1.81351 + 1.91938i) q^{57} +(-0.553777 + 2.06672i) q^{58} +(-3.81780 - 6.61262i) q^{59} +(0.0154914 + 0.760243i) q^{60} +(6.64002 - 11.5008i) q^{61} +(6.63838 + 6.63838i) q^{62} +(5.83639 - 1.92445i) q^{63} -8.62358i q^{64} +(12.4249 + 0.0991472i) q^{65} +(1.07361 + 1.74345i) q^{66} +(3.20857 + 0.859733i) q^{67} +(-0.304699 - 0.0816439i) q^{68} +(-1.44168 - 2.34117i) q^{69} +(4.38451 - 4.31509i) q^{70} +5.89798i q^{71} +(-6.60182 - 5.89254i) q^{72} +(1.58900 + 1.58900i) q^{73} +(-4.04309 + 7.00284i) q^{74} +(8.39230 + 2.13759i) q^{75} +(0.149662 + 0.259222i) q^{76} +(-0.466676 + 1.74166i) q^{77} +(-8.87721 + 9.39544i) q^{78} +(6.69401 + 3.86479i) q^{79} +(-7.69140 - 2.12683i) q^{80} +(-8.94218 + 1.01854i) q^{81} +(3.41628 - 3.41628i) q^{82} +(-2.57170 - 9.59770i) q^{83} +(-0.0197489 - 0.696335i) q^{84} +(-1.82110 + 3.09690i) q^{85} +(-2.23772 + 1.29195i) q^{86} +(2.64410 - 0.789474i) q^{87} +(2.50787 - 0.671981i) q^{88} +4.62765 q^{89} +(-7.57349 + 4.87926i) q^{90} -11.3830 q^{91} +(-0.301043 + 0.0806641i) q^{92} +(2.80088 - 11.7792i) q^{93} +(-9.63215 + 5.56112i) q^{94} +(3.29980 - 0.856017i) q^{95} +(-1.63189 + 1.00491i) q^{96} +(-1.02621 - 3.82988i) q^{97} +(2.66250 - 2.66250i) q^{98} +(1.18858 - 2.35800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 6 q^{2} - 6 q^{3} - 6 q^{5} - 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 6 q^{2} - 6 q^{3} - 6 q^{5} - 2 q^{7} - 8 q^{10} - 6 q^{12} - 2 q^{13} - 6 q^{15} - 8 q^{16} + 36 q^{18} + 18 q^{20} - 12 q^{21} - 10 q^{22} + 18 q^{23} + 4 q^{25} + 18 q^{27} - 16 q^{28} + 30 q^{30} - 4 q^{31} + 30 q^{32} - 12 q^{33} - 48 q^{36} + 4 q^{37} - 30 q^{38} + 6 q^{40} - 24 q^{41} + 6 q^{42} - 2 q^{43} - 36 q^{45} + 32 q^{46} - 12 q^{47} - 30 q^{48} - 54 q^{50} + 36 q^{51} - 14 q^{52} - 16 q^{55} + 36 q^{56} - 6 q^{57} - 6 q^{58} + 18 q^{60} + 8 q^{61} + 36 q^{63} + 66 q^{65} + 36 q^{66} + 4 q^{67} + 42 q^{68} + 18 q^{70} + 18 q^{72} - 8 q^{73} + 42 q^{75} + 24 q^{76} - 6 q^{77} - 42 q^{78} - 48 q^{81} + 32 q^{82} - 66 q^{83} + 22 q^{85} - 48 q^{86} - 18 q^{87} + 18 q^{88} - 66 q^{90} - 40 q^{91} - 60 q^{92} - 18 q^{93} - 36 q^{95} - 24 q^{96} + 28 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29724 0.347596i 0.917290 0.245787i 0.230863 0.972986i \(-0.425845\pi\)
0.686427 + 0.727199i \(0.259178\pi\)
\(3\) −1.25897 1.18953i −0.726869 0.686776i
\(4\) −0.170031 + 0.0981673i −0.0850154 + 0.0490837i
\(5\) 0.561484 + 2.16443i 0.251103 + 0.967960i
\(6\) −2.04667 1.10550i −0.835551 0.451318i
\(7\) −0.530190 1.97869i −0.200393 0.747876i −0.990805 0.135300i \(-0.956800\pi\)
0.790412 0.612576i \(-0.209867\pi\)
\(8\) −2.08575 + 2.08575i −0.737423 + 0.737423i
\(9\) 0.170031 + 2.99518i 0.0566769 + 0.998393i
\(10\) 1.48073 + 2.61262i 0.468247 + 0.826183i
\(11\) −0.762281 0.440103i −0.229836 0.132696i 0.380660 0.924715i \(-0.375697\pi\)
−0.610497 + 0.792019i \(0.709030\pi\)
\(12\) 0.330837 + 0.0786668i 0.0955045 + 0.0227092i
\(13\) 1.43820 5.36743i 0.398885 1.48866i −0.416177 0.909283i \(-0.636630\pi\)
0.815062 0.579374i \(-0.196703\pi\)
\(14\) −1.37557 2.38256i −0.367637 0.636766i
\(15\) 1.86776 3.39286i 0.482253 0.876032i
\(16\) −1.78439 + 3.09066i −0.446098 + 0.772664i
\(17\) 1.13610 + 1.13610i 0.275544 + 0.275544i 0.831327 0.555783i \(-0.187582\pi\)
−0.555783 + 0.831327i \(0.687582\pi\)
\(18\) 1.26168 + 3.82638i 0.297381 + 0.901885i
\(19\) 1.52456i 0.349758i −0.984590 0.174879i \(-0.944047\pi\)
0.984590 0.174879i \(-0.0559535\pi\)
\(20\) −0.307945 0.312899i −0.0688587 0.0699665i
\(21\) −1.68622 + 3.12180i −0.367964 + 0.681233i
\(22\) −1.14184 0.305956i −0.243442 0.0652300i
\(23\) 1.53331 + 0.410850i 0.319718 + 0.0856682i 0.415109 0.909772i \(-0.363743\pi\)
−0.0953909 + 0.995440i \(0.530410\pi\)
\(24\) 5.10696 0.144840i 1.04245 0.0295653i
\(25\) −4.36947 + 2.43058i −0.873894 + 0.486116i
\(26\) 7.46278i 1.46357i
\(27\) 3.34879 3.97311i 0.644476 0.764625i
\(28\) 0.284392 + 0.284392i 0.0537450 + 0.0537450i
\(29\) −0.796583 + 1.37972i −0.147922 + 0.256208i −0.930459 0.366396i \(-0.880592\pi\)
0.782537 + 0.622603i \(0.213925\pi\)
\(30\) 1.24360 5.05059i 0.227048 0.922107i
\(31\) 3.49518 + 6.05383i 0.627752 + 1.08730i 0.988002 + 0.154443i \(0.0493583\pi\)
−0.360249 + 0.932856i \(0.617308\pi\)
\(32\) 0.286379 1.06878i 0.0506251 0.188936i
\(33\) 0.436175 + 1.46084i 0.0759284 + 0.254299i
\(34\) 1.86870 + 1.07889i 0.320479 + 0.185029i
\(35\) 3.98504 2.25856i 0.673595 0.381767i
\(36\) −0.322939 0.492581i −0.0538232 0.0820968i
\(37\) −4.25746 + 4.25746i −0.699922 + 0.699922i −0.964393 0.264472i \(-0.914802\pi\)
0.264472 + 0.964393i \(0.414802\pi\)
\(38\) −0.529931 1.97773i −0.0859661 0.320830i
\(39\) −8.19538 + 5.04667i −1.31231 + 0.808114i
\(40\) −5.68555 3.34333i −0.898965 0.528627i
\(41\) 3.11546 1.79871i 0.486552 0.280911i −0.236591 0.971609i \(-0.576030\pi\)
0.723143 + 0.690698i \(0.242697\pi\)
\(42\) −1.10232 + 4.63586i −0.170092 + 0.715329i
\(43\) −1.85841 + 0.497959i −0.283404 + 0.0759380i −0.397721 0.917506i \(-0.630199\pi\)
0.114317 + 0.993444i \(0.463532\pi\)
\(44\) 0.172815 0.0260528
\(45\) −6.38737 + 2.04976i −0.952173 + 0.305561i
\(46\) 2.13189 0.314330
\(47\) −7.99942 + 2.14344i −1.16683 + 0.312652i −0.789693 0.613503i \(-0.789760\pi\)
−0.377142 + 0.926155i \(0.623093\pi\)
\(48\) 5.92294 1.76847i 0.854902 0.255256i
\(49\) 2.42805 1.40183i 0.346864 0.200262i
\(50\) −4.82341 + 4.67186i −0.682134 + 0.660701i
\(51\) −0.0788937 2.78174i −0.0110473 0.389522i
\(52\) 0.282368 + 1.05381i 0.0391574 + 0.146137i
\(53\) −4.65601 + 4.65601i −0.639552 + 0.639552i −0.950445 0.310893i \(-0.899372\pi\)
0.310893 + 0.950445i \(0.399372\pi\)
\(54\) 2.96317 6.31812i 0.403236 0.859787i
\(55\) 0.524562 1.89701i 0.0707319 0.255793i
\(56\) 5.23290 + 3.02121i 0.699275 + 0.403727i
\(57\) −1.81351 + 1.91938i −0.240206 + 0.254229i
\(58\) −0.553777 + 2.06672i −0.0727145 + 0.271374i
\(59\) −3.81780 6.61262i −0.497035 0.860890i 0.502959 0.864310i \(-0.332245\pi\)
−0.999994 + 0.00342048i \(0.998911\pi\)
\(60\) 0.0154914 + 0.760243i 0.00199993 + 0.0981469i
\(61\) 6.64002 11.5008i 0.850167 1.47253i −0.0308900 0.999523i \(-0.509834\pi\)
0.881057 0.473010i \(-0.156833\pi\)
\(62\) 6.63838 + 6.63838i 0.843075 + 0.843075i
\(63\) 5.83639 1.92445i 0.735317 0.242458i
\(64\) 8.62358i 1.07795i
\(65\) 12.4249 + 0.0991472i 1.54112 + 0.0122977i
\(66\) 1.07361 + 1.74345i 0.132152 + 0.214604i
\(67\) 3.20857 + 0.859733i 0.391989 + 0.105033i 0.449429 0.893316i \(-0.351627\pi\)
−0.0574406 + 0.998349i \(0.518294\pi\)
\(68\) −0.304699 0.0816439i −0.0369502 0.00990078i
\(69\) −1.44168 2.34117i −0.173558 0.281844i
\(70\) 4.38451 4.31509i 0.524049 0.515752i
\(71\) 5.89798i 0.699961i 0.936757 + 0.349980i \(0.113812\pi\)
−0.936757 + 0.349980i \(0.886188\pi\)
\(72\) −6.60182 5.89254i −0.778032 0.694442i
\(73\) 1.58900 + 1.58900i 0.185979 + 0.185979i 0.793955 0.607976i \(-0.208018\pi\)
−0.607976 + 0.793955i \(0.708018\pi\)
\(74\) −4.04309 + 7.00284i −0.470000 + 0.814063i
\(75\) 8.39230 + 2.13759i 0.969060 + 0.246827i
\(76\) 0.149662 + 0.259222i 0.0171674 + 0.0297348i
\(77\) −0.466676 + 1.74166i −0.0531827 + 0.198480i
\(78\) −8.87721 + 9.39544i −1.00515 + 1.06382i
\(79\) 6.69401 + 3.86479i 0.753135 + 0.434823i 0.826826 0.562458i \(-0.190144\pi\)
−0.0736905 + 0.997281i \(0.523478\pi\)
\(80\) −7.69140 2.12683i −0.859925 0.237787i
\(81\) −8.94218 + 1.01854i −0.993575 + 0.113172i
\(82\) 3.41628 3.41628i 0.377265 0.377265i
\(83\) −2.57170 9.59770i −0.282280 1.05348i −0.950804 0.309794i \(-0.899740\pi\)
0.668523 0.743691i \(-0.266927\pi\)
\(84\) −0.0197489 0.696335i −0.00215478 0.0759763i
\(85\) −1.82110 + 3.09690i −0.197526 + 0.335906i
\(86\) −2.23772 + 1.29195i −0.241299 + 0.139314i
\(87\) 2.64410 0.789474i 0.283477 0.0846405i
\(88\) 2.50787 0.671981i 0.267340 0.0716334i
\(89\) 4.62765 0.490530 0.245265 0.969456i \(-0.421125\pi\)
0.245265 + 0.969456i \(0.421125\pi\)
\(90\) −7.57349 + 4.87926i −0.798316 + 0.514320i
\(91\) −11.3830 −1.19327
\(92\) −0.301043 + 0.0806641i −0.0313859 + 0.00840982i
\(93\) 2.80088 11.7792i 0.290437 1.22145i
\(94\) −9.63215 + 5.56112i −0.993480 + 0.573586i
\(95\) 3.29980 0.856017i 0.338552 0.0878255i
\(96\) −1.63189 + 1.00491i −0.166554 + 0.102563i
\(97\) −1.02621 3.82988i −0.104196 0.388865i 0.894057 0.447954i \(-0.147847\pi\)
−0.998253 + 0.0590888i \(0.981180\pi\)
\(98\) 2.66250 2.66250i 0.268953 0.268953i
\(99\) 1.18858 2.35800i 0.119456 0.236988i
\(100\) 0.504341 0.842213i 0.0504341 0.0842213i
\(101\) −2.23195 1.28862i −0.222087 0.128222i 0.384829 0.922988i \(-0.374260\pi\)
−0.606916 + 0.794766i \(0.707594\pi\)
\(102\) −1.06927 3.58117i −0.105873 0.354589i
\(103\) −3.38106 + 12.6183i −0.333146 + 1.24332i 0.572719 + 0.819752i \(0.305889\pi\)
−0.905865 + 0.423566i \(0.860778\pi\)
\(104\) 8.19538 + 14.1948i 0.803623 + 1.39192i
\(105\) −7.70370 1.89686i −0.751804 0.185115i
\(106\) −4.42157 + 7.65839i −0.429461 + 0.743848i
\(107\) −9.23034 9.23034i −0.892331 0.892331i 0.102411 0.994742i \(-0.467344\pi\)
−0.994742 + 0.102411i \(0.967344\pi\)
\(108\) −0.179369 + 1.00429i −0.0172598 + 0.0966381i
\(109\) 8.05480i 0.771510i 0.922601 + 0.385755i \(0.126059\pi\)
−0.922601 + 0.385755i \(0.873941\pi\)
\(110\) 0.0210921 2.64322i 0.00201105 0.252021i
\(111\) 10.4244 0.295649i 0.989441 0.0280618i
\(112\) 7.06153 + 1.89213i 0.667252 + 0.178790i
\(113\) 11.5941 + 3.10662i 1.09068 + 0.292246i 0.758963 0.651134i \(-0.225706\pi\)
0.331714 + 0.943380i \(0.392373\pi\)
\(114\) −1.68540 + 3.12028i −0.157852 + 0.292241i
\(115\) −0.0283234 + 3.54943i −0.00264117 + 0.330986i
\(116\) 0.312794i 0.0290422i
\(117\) 16.3209 + 3.39503i 1.50887 + 0.313871i
\(118\) −7.25113 7.25113i −0.667521 0.667521i
\(119\) 1.64564 2.85034i 0.150856 0.261290i
\(120\) 3.18097 + 10.9723i 0.290382 + 1.00163i
\(121\) −5.11262 8.85532i −0.464784 0.805029i
\(122\) 4.61608 17.2274i 0.417920 1.55970i
\(123\) −6.06190 1.44140i −0.546583 0.129967i
\(124\) −1.18858 0.686224i −0.106737 0.0616248i
\(125\) −7.71420 8.09266i −0.689979 0.723830i
\(126\) 6.90230 4.52519i 0.614906 0.403136i
\(127\) 1.90230 1.90230i 0.168802 0.168802i −0.617651 0.786452i \(-0.711915\pi\)
0.786452 + 0.617651i \(0.211915\pi\)
\(128\) −2.42476 9.04933i −0.214321 0.799855i
\(129\) 2.93202 + 1.58372i 0.258150 + 0.139438i
\(130\) 16.1526 4.19023i 1.41668 0.367508i
\(131\) −18.5109 + 10.6873i −1.61731 + 0.933754i −0.629696 + 0.776841i \(0.716821\pi\)
−0.987613 + 0.156912i \(0.949846\pi\)
\(132\) −0.217569 0.205569i −0.0189370 0.0178925i
\(133\) −3.01664 + 0.808307i −0.261576 + 0.0700891i
\(134\) 4.46113 0.385383
\(135\) 10.4798 + 5.01738i 0.901956 + 0.431827i
\(136\) −4.73922 −0.406385
\(137\) 6.62594 1.77541i 0.566092 0.151684i 0.0355883 0.999367i \(-0.488669\pi\)
0.530504 + 0.847683i \(0.322003\pi\)
\(138\) −2.68400 2.53595i −0.228477 0.215875i
\(139\) 1.24863 0.720896i 0.105907 0.0611456i −0.446111 0.894978i \(-0.647191\pi\)
0.552018 + 0.833832i \(0.313858\pi\)
\(140\) −0.455863 + 0.775226i −0.0385275 + 0.0655186i
\(141\) 12.6207 + 6.81703i 1.06286 + 0.574097i
\(142\) 2.05011 + 7.65111i 0.172041 + 0.642067i
\(143\) −3.45853 + 3.45853i −0.289217 + 0.289217i
\(144\) −9.56047 4.81906i −0.796706 0.401589i
\(145\) −3.43357 0.949452i −0.285143 0.0788477i
\(146\) 2.61366 + 1.50900i 0.216308 + 0.124885i
\(147\) −4.72437 1.12337i −0.389659 0.0926536i
\(148\) 0.305956 1.14184i 0.0251494 0.0938589i
\(149\) −8.28457 14.3493i −0.678699 1.17554i −0.975373 0.220562i \(-0.929211\pi\)
0.296674 0.954979i \(-0.404122\pi\)
\(150\) 11.6299 0.144155i 0.949576 0.0117702i
\(151\) 0.00283730 0.00491435i 0.000230896 0.000399924i −0.865910 0.500200i \(-0.833260\pi\)
0.866141 + 0.499800i \(0.166593\pi\)
\(152\) 3.17985 + 3.17985i 0.257920 + 0.257920i
\(153\) −3.20964 + 3.59599i −0.259484 + 0.290718i
\(154\) 2.42157i 0.195136i
\(155\) −11.1406 + 10.9642i −0.894832 + 0.880664i
\(156\) 0.898049 1.66261i 0.0719014 0.133115i
\(157\) −8.17112 2.18944i −0.652126 0.174737i −0.0824362 0.996596i \(-0.526270\pi\)
−0.569690 + 0.821860i \(0.692937\pi\)
\(158\) 10.0272 + 2.68677i 0.797717 + 0.213748i
\(159\) 11.4003 0.323326i 0.904099 0.0256414i
\(160\) 2.47409 + 0.0197425i 0.195594 + 0.00156078i
\(161\) 3.25179i 0.256277i
\(162\) −11.2461 + 4.42956i −0.883581 + 0.348019i
\(163\) 4.19302 + 4.19302i 0.328422 + 0.328422i 0.851986 0.523564i \(-0.175398\pi\)
−0.523564 + 0.851986i \(0.675398\pi\)
\(164\) −0.353149 + 0.611672i −0.0275763 + 0.0477635i
\(165\) −2.91696 + 1.76430i −0.227085 + 0.137351i
\(166\) −6.67224 11.5567i −0.517866 0.896970i
\(167\) −1.54428 + 5.76334i −0.119500 + 0.445980i −0.999584 0.0288375i \(-0.990819\pi\)
0.880084 + 0.474818i \(0.157486\pi\)
\(168\) −2.99425 10.0283i −0.231012 0.773702i
\(169\) −15.4826 8.93886i −1.19097 0.687605i
\(170\) −1.28594 + 4.65044i −0.0986271 + 0.356672i
\(171\) 4.56633 0.259222i 0.349196 0.0198232i
\(172\) 0.267103 0.267103i 0.0203664 0.0203664i
\(173\) 3.53677 + 13.1994i 0.268896 + 1.00353i 0.959822 + 0.280608i \(0.0905361\pi\)
−0.690927 + 0.722925i \(0.742797\pi\)
\(174\) 3.15562 1.94322i 0.239227 0.147315i
\(175\) 7.12602 + 7.35718i 0.538677 + 0.556151i
\(176\) 2.72042 1.57063i 0.205059 0.118391i
\(177\) −3.05941 + 12.8665i −0.229959 + 0.967106i
\(178\) 6.00319 1.60855i 0.449958 0.120566i
\(179\) 17.2370 1.28836 0.644178 0.764875i \(-0.277199\pi\)
0.644178 + 0.764875i \(0.277199\pi\)
\(180\) 0.884829 0.975554i 0.0659513 0.0727135i
\(181\) 14.7708 1.09790 0.548952 0.835854i \(-0.315027\pi\)
0.548952 + 0.835854i \(0.315027\pi\)
\(182\) −14.7666 + 3.95669i −1.09457 + 0.293289i
\(183\) −22.0402 + 6.58076i −1.62926 + 0.486464i
\(184\) −4.05503 + 2.34117i −0.298941 + 0.172594i
\(185\) −11.6054 6.82446i −0.853249 0.501744i
\(186\) −0.460987 16.2541i −0.0338012 1.19181i
\(187\) −0.366025 1.36603i −0.0267664 0.0998937i
\(188\) 1.14973 1.14973i 0.0838528 0.0838528i
\(189\) −9.63706 4.51974i −0.700993 0.328763i
\(190\) 3.98310 2.25746i 0.288964 0.163773i
\(191\) 4.56792 + 2.63729i 0.330523 + 0.190827i 0.656073 0.754697i \(-0.272216\pi\)
−0.325550 + 0.945525i \(0.605550\pi\)
\(192\) −10.2580 + 10.8569i −0.740309 + 0.783527i
\(193\) 2.40873 8.98952i 0.173384 0.647080i −0.823437 0.567408i \(-0.807946\pi\)
0.996821 0.0796715i \(-0.0253871\pi\)
\(194\) −2.66250 4.61158i −0.191156 0.331092i
\(195\) −15.5247 14.9047i −1.11175 1.06734i
\(196\) −0.275228 + 0.476709i −0.0196592 + 0.0340507i
\(197\) 9.49539 + 9.49539i 0.676519 + 0.676519i 0.959211 0.282692i \(-0.0912274\pi\)
−0.282692 + 0.959211i \(0.591227\pi\)
\(198\) 0.722243 3.47204i 0.0513276 0.246747i
\(199\) 17.6342i 1.25005i 0.780604 + 0.625026i \(0.214912\pi\)
−0.780604 + 0.625026i \(0.785088\pi\)
\(200\) 4.04404 14.1832i 0.285957 1.00290i
\(201\) −3.01682 4.89907i −0.212790 0.345554i
\(202\) −3.34330 0.895835i −0.235234 0.0630307i
\(203\) 3.15239 + 0.844680i 0.221254 + 0.0592849i
\(204\) 0.286490 + 0.465237i 0.0200583 + 0.0325731i
\(205\) 5.64245 + 5.73322i 0.394086 + 0.400426i
\(206\) 17.5443i 1.22237i
\(207\) −0.969859 + 4.66240i −0.0674098 + 0.324060i
\(208\) 14.0226 + 14.0226i 0.972291 + 0.972291i
\(209\) −0.670964 + 1.16214i −0.0464116 + 0.0803872i
\(210\) −10.6529 + 0.217074i −0.735121 + 0.0149795i
\(211\) 0.0616050 + 0.106703i 0.00424106 + 0.00734574i 0.868138 0.496323i \(-0.165317\pi\)
−0.863897 + 0.503668i \(0.831983\pi\)
\(212\) 0.334597 1.24873i 0.0229802 0.0857633i
\(213\) 7.01583 7.42540i 0.480716 0.508780i
\(214\) −15.1824 8.76558i −1.03785 0.599203i
\(215\) −2.12126 3.74279i −0.144669 0.255256i
\(216\) 1.30216 + 15.2716i 0.0886009 + 1.03910i
\(217\) 10.1256 10.1256i 0.687368 0.687368i
\(218\) 2.79981 + 10.4490i 0.189627 + 0.707698i
\(219\) −0.110345 3.89068i −0.00745640 0.262908i
\(220\) 0.0970328 + 0.374045i 0.00654195 + 0.0252181i
\(221\) 7.73186 4.46399i 0.520101 0.300281i
\(222\) 13.4202 4.00701i 0.900707 0.268933i
\(223\) −2.41842 + 0.648014i −0.161949 + 0.0433942i −0.338883 0.940829i \(-0.610049\pi\)
0.176933 + 0.984223i \(0.443382\pi\)
\(224\) −2.26663 −0.151445
\(225\) −8.02296 12.6741i −0.534864 0.844938i
\(226\) 16.1202 1.07230
\(227\) 14.7293 3.94671i 0.977619 0.261952i 0.265577 0.964090i \(-0.414437\pi\)
0.712042 + 0.702137i \(0.247771\pi\)
\(228\) 0.119932 0.504382i 0.00794272 0.0334035i
\(229\) 19.1083 11.0322i 1.26271 0.729029i 0.289116 0.957294i \(-0.406639\pi\)
0.973599 + 0.228265i \(0.0733054\pi\)
\(230\) 1.19702 + 4.61432i 0.0789294 + 0.304259i
\(231\) 2.65929 1.63758i 0.174969 0.107745i
\(232\) −1.21628 4.53922i −0.0798527 0.298014i
\(233\) 4.22173 4.22173i 0.276575 0.276575i −0.555165 0.831740i \(-0.687345\pi\)
0.831740 + 0.555165i \(0.187345\pi\)
\(234\) 22.3524 1.26890i 1.46122 0.0829507i
\(235\) −9.13085 16.1106i −0.595631 1.05094i
\(236\) 1.29829 + 0.749566i 0.0845112 + 0.0487926i
\(237\) −3.83030 12.8284i −0.248805 0.833294i
\(238\) 1.14404 4.26960i 0.0741569 0.276757i
\(239\) 6.79199 + 11.7641i 0.439338 + 0.760955i 0.997639 0.0686835i \(-0.0218799\pi\)
−0.558301 + 0.829639i \(0.688547\pi\)
\(240\) 7.15335 + 11.8268i 0.461747 + 0.763416i
\(241\) −2.56728 + 4.44666i −0.165373 + 0.286434i −0.936788 0.349898i \(-0.886216\pi\)
0.771415 + 0.636333i \(0.219549\pi\)
\(242\) −9.71038 9.71038i −0.624207 0.624207i
\(243\) 12.4696 + 9.35468i 0.799923 + 0.600103i
\(244\) 2.60733i 0.166917i
\(245\) 4.39747 + 4.46822i 0.280944 + 0.285464i
\(246\) −8.36479 + 0.237236i −0.533319 + 0.0151256i
\(247\) −8.18298 2.19262i −0.520670 0.139513i
\(248\) −19.9168 5.33669i −1.26472 0.338880i
\(249\) −8.17907 + 15.1424i −0.518327 + 0.959609i
\(250\) −12.8202 7.81674i −0.810819 0.494374i
\(251\) 2.60221i 0.164250i −0.996622 0.0821251i \(-0.973829\pi\)
0.996622 0.0821251i \(-0.0261707\pi\)
\(252\) −0.803448 + 0.900159i −0.0506125 + 0.0567047i
\(253\) −0.987999 0.987999i −0.0621150 0.0621150i
\(254\) 1.80652 3.12898i 0.113351 0.196329i
\(255\) 5.97657 1.73266i 0.374267 0.108504i
\(256\) 2.33257 + 4.04013i 0.145786 + 0.252508i
\(257\) −2.73197 + 10.1958i −0.170415 + 0.635999i 0.826872 + 0.562390i \(0.190118\pi\)
−0.997287 + 0.0736085i \(0.976548\pi\)
\(258\) 4.35404 + 1.03531i 0.271071 + 0.0644555i
\(259\) 10.6815 + 6.16695i 0.663714 + 0.383196i
\(260\) −2.12235 + 1.20286i −0.131623 + 0.0745984i
\(261\) −4.26796 2.15131i −0.264180 0.133163i
\(262\) −20.2984 + 20.2984i −1.25404 + 1.25404i
\(263\) −2.17720 8.12541i −0.134252 0.501034i −1.00000 0.000554412i \(-0.999824\pi\)
0.865748 0.500480i \(-0.166843\pi\)
\(264\) −3.95668 2.13718i −0.243517 0.131534i
\(265\) −12.6919 7.46331i −0.779654 0.458467i
\(266\) −3.63236 + 2.09714i −0.222714 + 0.128584i
\(267\) −5.82609 5.50473i −0.356551 0.336884i
\(268\) −0.629953 + 0.168795i −0.0384805 + 0.0103108i
\(269\) −26.7708 −1.63225 −0.816123 0.577878i \(-0.803881\pi\)
−0.816123 + 0.577878i \(0.803881\pi\)
\(270\) 15.3389 + 2.86603i 0.933493 + 0.174421i
\(271\) −18.5850 −1.12896 −0.564480 0.825447i \(-0.690923\pi\)
−0.564480 + 0.825447i \(0.690923\pi\)
\(272\) −5.53853 + 1.48405i −0.335823 + 0.0899834i
\(273\) 14.3309 + 13.5405i 0.867347 + 0.819506i
\(274\) 7.97833 4.60629i 0.481989 0.278276i
\(275\) 4.40047 + 0.0702333i 0.265358 + 0.00423523i
\(276\) 0.474957 + 0.256546i 0.0285891 + 0.0154422i
\(277\) 7.05259 + 26.3206i 0.423749 + 1.58145i 0.766640 + 0.642078i \(0.221927\pi\)
−0.342891 + 0.939375i \(0.611406\pi\)
\(278\) 1.36920 1.36920i 0.0821189 0.0821189i
\(279\) −17.5380 + 11.4980i −1.04997 + 0.688368i
\(280\) −3.60100 + 13.0226i −0.215201 + 0.778248i
\(281\) −22.7050 13.1087i −1.35447 0.782002i −0.365595 0.930774i \(-0.619135\pi\)
−0.988872 + 0.148772i \(0.952468\pi\)
\(282\) 18.7418 + 4.45643i 1.11606 + 0.265377i
\(283\) −0.921880 + 3.44050i −0.0548001 + 0.204517i −0.987898 0.155106i \(-0.950428\pi\)
0.933098 + 0.359623i \(0.117095\pi\)
\(284\) −0.578988 1.00284i −0.0343566 0.0595074i
\(285\) −5.17262 2.84751i −0.306400 0.168672i
\(286\) −3.28439 + 5.68873i −0.194210 + 0.336382i
\(287\) −5.21088 5.21088i −0.307589 0.307589i
\(288\) 3.24988 + 0.676030i 0.191501 + 0.0398355i
\(289\) 14.4186i 0.848151i
\(290\) −4.78421 0.0381765i −0.280938 0.00224180i
\(291\) −3.26378 + 6.04243i −0.191326 + 0.354213i
\(292\) −0.426168 0.114191i −0.0249396 0.00668254i
\(293\) 2.87816 + 0.771199i 0.168144 + 0.0450539i 0.341909 0.939733i \(-0.388927\pi\)
−0.173765 + 0.984787i \(0.555593\pi\)
\(294\) −6.51914 + 0.184891i −0.380204 + 0.0107831i
\(295\) 12.1689 11.9762i 0.708500 0.697282i
\(296\) 17.7600i 1.03228i
\(297\) −4.30130 + 1.55481i −0.249587 + 0.0902192i
\(298\) −15.7349 15.7349i −0.911496 0.911496i
\(299\) 4.41042 7.63907i 0.255061 0.441779i
\(300\) −1.63679 + 0.460394i −0.0945002 + 0.0265809i
\(301\) 1.97062 + 3.41321i 0.113584 + 0.196734i
\(302\) 0.00197247 0.00736135i 0.000113503 0.000423598i
\(303\) 1.27712 + 4.27731i 0.0733684 + 0.245725i
\(304\) 4.71190 + 2.72042i 0.270246 + 0.156027i
\(305\) 28.6210 + 7.91428i 1.63883 + 0.453170i
\(306\) −2.91374 + 5.78053i −0.166568 + 0.330451i
\(307\) 21.8017 21.8017i 1.24429 1.24429i 0.286081 0.958205i \(-0.407647\pi\)
0.958205 0.286081i \(-0.0923528\pi\)
\(308\) −0.0916247 0.341948i −0.00522080 0.0194843i
\(309\) 19.2665 11.8642i 1.09603 0.674933i
\(310\) −10.6409 + 18.0956i −0.604365 + 1.02776i
\(311\) 29.3878 16.9671i 1.66643 0.962114i 0.696892 0.717176i \(-0.254565\pi\)
0.969539 0.244939i \(-0.0787679\pi\)
\(312\) 6.56741 27.6196i 0.371806 1.56365i
\(313\) −22.4027 + 6.00279i −1.26628 + 0.339298i −0.828603 0.559836i \(-0.810864\pi\)
−0.437673 + 0.899134i \(0.644197\pi\)
\(314\) −11.3610 −0.641137
\(315\) 7.44237 + 11.5519i 0.419330 + 0.650875i
\(316\) −1.51758 −0.0853708
\(317\) −3.86401 + 1.03536i −0.217024 + 0.0581515i −0.365693 0.930736i \(-0.619168\pi\)
0.148669 + 0.988887i \(0.452501\pi\)
\(318\) 14.6765 4.38211i 0.823019 0.245737i
\(319\) 1.21444 0.701157i 0.0679956 0.0392573i
\(320\) 18.6651 4.84200i 1.04341 0.270676i
\(321\) 0.640980 + 22.6005i 0.0357760 + 1.26144i
\(322\) −1.13031 4.21836i −0.0629896 0.235080i
\(323\) 1.73205 1.73205i 0.0963739 0.0963739i
\(324\) 1.42046 1.05101i 0.0789143 0.0583896i
\(325\) 6.76180 + 26.9485i 0.375077 + 1.49483i
\(326\) 6.89684 + 3.98189i 0.381981 + 0.220537i
\(327\) 9.58143 10.1408i 0.529854 0.560786i
\(328\) −2.74640 + 10.2497i −0.151645 + 0.565945i
\(329\) 8.48242 + 14.6920i 0.467651 + 0.809995i
\(330\) −3.17075 + 3.30266i −0.174544 + 0.181805i
\(331\) −2.98175 + 5.16454i −0.163892 + 0.283869i −0.936261 0.351305i \(-0.885738\pi\)
0.772369 + 0.635174i \(0.219071\pi\)
\(332\) 1.37945 + 1.37945i 0.0757071 + 0.0757071i
\(333\) −13.4757 12.0279i −0.738466 0.659127i
\(334\) 8.01324i 0.438465i
\(335\) −0.0592686 + 7.42743i −0.00323819 + 0.405804i
\(336\) −6.63954 10.7821i −0.362216 0.588210i
\(337\) 9.56887 + 2.56397i 0.521250 + 0.139668i 0.509845 0.860267i \(-0.329703\pi\)
0.0114051 + 0.999935i \(0.496370\pi\)
\(338\) −23.1918 6.21422i −1.26147 0.338009i
\(339\) −10.9012 17.7026i −0.592072 0.961476i
\(340\) 0.00562840 0.705340i 0.000305243 0.0382525i
\(341\) 6.15295i 0.333201i
\(342\) 5.83354 1.92351i 0.315442 0.104012i
\(343\) −14.2007 14.2007i −0.766764 0.766764i
\(344\) 2.83755 4.91478i 0.152990 0.264987i
\(345\) 4.25781 4.43495i 0.229233 0.238770i
\(346\) 9.17611 + 15.8935i 0.493311 + 0.854440i
\(347\) −2.74569 + 10.2471i −0.147396 + 0.550091i 0.852241 + 0.523150i \(0.175243\pi\)
−0.999637 + 0.0269407i \(0.991423\pi\)
\(348\) −0.372078 + 0.393799i −0.0199455 + 0.0211098i
\(349\) 8.08831 + 4.66979i 0.432957 + 0.249968i 0.700606 0.713549i \(-0.252913\pi\)
−0.267648 + 0.963517i \(0.586247\pi\)
\(350\) 11.8015 + 7.06709i 0.630818 + 0.377752i
\(351\) −16.5091 23.6885i −0.881193 1.26440i
\(352\) −0.688675 + 0.688675i −0.0367065 + 0.0367065i
\(353\) −4.96965 18.5470i −0.264508 0.987156i −0.962551 0.271100i \(-0.912612\pi\)
0.698043 0.716055i \(-0.254054\pi\)
\(354\) 0.503538 + 17.7544i 0.0267627 + 0.943638i
\(355\) −12.7657 + 3.31162i −0.677534 + 0.175762i
\(356\) −0.786842 + 0.454284i −0.0417026 + 0.0240770i
\(357\) −5.46239 + 1.63096i −0.289100 + 0.0863194i
\(358\) 22.3606 5.99152i 1.18180 0.316662i
\(359\) −12.5944 −0.664705 −0.332352 0.943155i \(-0.607842\pi\)
−0.332352 + 0.943155i \(0.607842\pi\)
\(360\) 9.04714 17.5977i 0.476826 0.927481i
\(361\) 16.6757 0.877669
\(362\) 19.1613 5.13426i 1.00710 0.269851i
\(363\) −4.09702 + 17.2302i −0.215038 + 0.904353i
\(364\) 1.93546 1.11744i 0.101446 0.0585698i
\(365\) −2.54708 + 4.33148i −0.133320 + 0.226720i
\(366\) −26.3041 + 16.1979i −1.37494 + 0.846680i
\(367\) −7.32206 27.3263i −0.382209 1.42642i −0.842520 0.538665i \(-0.818929\pi\)
0.460312 0.887757i \(-0.347738\pi\)
\(368\) −4.00583 + 4.00583i −0.208818 + 0.208818i
\(369\) 5.91718 + 9.02551i 0.308036 + 0.469849i
\(370\) −17.4272 4.81898i −0.905999 0.250527i
\(371\) 11.6814 + 6.74425i 0.606467 + 0.350144i
\(372\) 0.680100 + 2.27779i 0.0352616 + 0.118098i
\(373\) 0.604851 2.25734i 0.0313180 0.116880i −0.948497 0.316785i \(-0.897397\pi\)
0.979815 + 0.199905i \(0.0640633\pi\)
\(374\) −0.949649 1.64484i −0.0491052 0.0850526i
\(375\) 0.0854972 + 19.3647i 0.00441505 + 0.999990i
\(376\) 12.2141 21.1554i 0.629894 1.09101i
\(377\) 6.25992 + 6.25992i 0.322402 + 0.322402i
\(378\) −14.0727 2.51341i −0.723820 0.129276i
\(379\) 18.4618i 0.948320i −0.880439 0.474160i \(-0.842752\pi\)
0.880439 0.474160i \(-0.157248\pi\)
\(380\) −0.477035 + 0.469482i −0.0244714 + 0.0240839i
\(381\) −4.65779 + 0.132101i −0.238626 + 0.00676772i
\(382\) 6.84241 + 1.83342i 0.350088 + 0.0938059i
\(383\) −23.3806 6.26481i −1.19469 0.320117i −0.393953 0.919131i \(-0.628893\pi\)
−0.800739 + 0.599014i \(0.795559\pi\)
\(384\) −7.71175 + 14.2772i −0.393539 + 0.728580i
\(385\) −4.03172 0.0321719i −0.205476 0.00163963i
\(386\) 12.4989i 0.636176i
\(387\) −1.80746 5.48159i −0.0918784 0.278645i
\(388\) 0.550457 + 0.550457i 0.0279452 + 0.0279452i
\(389\) −13.5444 + 23.4596i −0.686729 + 1.18945i 0.286161 + 0.958182i \(0.407621\pi\)
−0.972890 + 0.231268i \(0.925712\pi\)
\(390\) −25.3201 13.9387i −1.28214 0.705812i
\(391\) 1.27523 + 2.20876i 0.0644911 + 0.111702i
\(392\) −2.14042 + 7.98815i −0.108108 + 0.403463i
\(393\) 36.0177 + 8.56432i 1.81685 + 0.432013i
\(394\) 15.6184 + 9.01729i 0.786844 + 0.454284i
\(395\) −4.60647 + 16.6587i −0.231776 + 0.838190i
\(396\) 0.0293839 + 0.517611i 0.00147659 + 0.0260110i
\(397\) −18.2252 + 18.2252i −0.914698 + 0.914698i −0.996637 0.0819389i \(-0.973889\pi\)
0.0819389 + 0.996637i \(0.473889\pi\)
\(398\) 6.12955 + 22.8758i 0.307247 + 1.14666i
\(399\) 4.75938 + 2.57075i 0.238267 + 0.128699i
\(400\) 0.284760 17.8416i 0.0142380 0.892082i
\(401\) −11.1294 + 6.42558i −0.555777 + 0.320878i −0.751449 0.659791i \(-0.770645\pi\)
0.195672 + 0.980669i \(0.437311\pi\)
\(402\) −5.61645 5.30666i −0.280123 0.264672i
\(403\) 37.5202 10.0535i 1.86902 0.500801i
\(404\) 0.506000 0.0251745
\(405\) −7.22545 18.7828i −0.359036 0.933324i
\(406\) 4.38302 0.217526
\(407\) 5.11910 1.37166i 0.253744 0.0679906i
\(408\) 5.96656 + 5.63745i 0.295389 + 0.279096i
\(409\) −22.2450 + 12.8431i −1.09994 + 0.635053i −0.936206 0.351451i \(-0.885688\pi\)
−0.163737 + 0.986504i \(0.552355\pi\)
\(410\) 9.31248 + 5.47610i 0.459911 + 0.270445i
\(411\) −10.4538 5.64656i −0.515648 0.278524i
\(412\) −0.663820 2.47741i −0.0327041 0.122053i
\(413\) −11.0602 + 11.0602i −0.544237 + 0.544237i
\(414\) 0.362487 + 6.38540i 0.0178153 + 0.313825i
\(415\) 19.3295 10.9552i 0.948850 0.537770i
\(416\) −5.32474 3.07424i −0.261067 0.150727i
\(417\) −2.42952 0.577694i −0.118974 0.0282898i
\(418\) −0.466448 + 1.74081i −0.0228147 + 0.0851457i
\(419\) −6.13243 10.6217i −0.299589 0.518903i 0.676453 0.736486i \(-0.263516\pi\)
−0.976042 + 0.217583i \(0.930183\pi\)
\(420\) 1.49608 0.433726i 0.0730010 0.0211637i
\(421\) −7.24056 + 12.5410i −0.352883 + 0.611212i −0.986753 0.162228i \(-0.948132\pi\)
0.633870 + 0.773439i \(0.281465\pi\)
\(422\) 0.117006 + 0.117006i 0.00569577 + 0.00569577i
\(423\) −7.78012 23.5952i −0.378283 1.14724i
\(424\) 19.4225i 0.943240i
\(425\) −7.72552 2.20277i −0.374743 0.106850i
\(426\) 6.52020 12.0712i 0.315905 0.584853i
\(427\) −26.2771 7.04094i −1.27164 0.340735i
\(428\) 2.47556 + 0.663324i 0.119661 + 0.0320630i
\(429\) 8.46824 0.240170i 0.408850 0.0115955i
\(430\) −4.05277 4.11797i −0.195442 0.198586i
\(431\) 35.9660i 1.73242i 0.499678 + 0.866211i \(0.333452\pi\)
−0.499678 + 0.866211i \(0.666548\pi\)
\(432\) 6.30395 + 17.4396i 0.303299 + 0.839061i
\(433\) −0.331545 0.331545i −0.0159331 0.0159331i 0.699095 0.715028i \(-0.253586\pi\)
−0.715028 + 0.699095i \(0.753586\pi\)
\(434\) 9.61573 16.6549i 0.461570 0.799462i
\(435\) 3.19338 + 5.27968i 0.153111 + 0.253141i
\(436\) −0.790718 1.36956i −0.0378685 0.0655902i
\(437\) 0.626366 2.33763i 0.0299632 0.111824i
\(438\) −1.49553 5.00881i −0.0714591 0.239330i
\(439\) 1.28953 + 0.744511i 0.0615459 + 0.0355336i 0.530457 0.847712i \(-0.322020\pi\)
−0.468911 + 0.883245i \(0.655354\pi\)
\(440\) 2.86258 + 5.05078i 0.136468 + 0.240787i
\(441\) 4.61158 + 7.03407i 0.219599 + 0.334956i
\(442\) 8.47845 8.47845i 0.403279 0.403279i
\(443\) 8.29218 + 30.9468i 0.393973 + 1.47033i 0.823522 + 0.567285i \(0.192006\pi\)
−0.429548 + 0.903044i \(0.641327\pi\)
\(444\) −1.74345 + 1.07361i −0.0827403 + 0.0509511i
\(445\) 2.59835 + 10.0162i 0.123174 + 0.474813i
\(446\) −2.91203 + 1.68126i −0.137889 + 0.0796101i
\(447\) −6.63888 + 27.9202i −0.314008 + 1.32058i
\(448\) −17.0634 + 4.57213i −0.806172 + 0.216013i
\(449\) 21.8283 1.03014 0.515071 0.857147i \(-0.327766\pi\)
0.515071 + 0.857147i \(0.327766\pi\)
\(450\) −14.8132 13.6526i −0.698301 0.643591i
\(451\) −3.16647 −0.149103
\(452\) −2.27631 + 0.609937i −0.107069 + 0.0286890i
\(453\) −0.00941786 + 0.00281198i −0.000442490 + 0.000132118i
\(454\) 17.7357 10.2397i 0.832376 0.480572i
\(455\) −6.39139 24.6377i −0.299633 1.15503i
\(456\) −0.220817 7.78588i −0.0103407 0.364607i
\(457\) −0.235886 0.880339i −0.0110343 0.0411805i 0.960189 0.279351i \(-0.0901191\pi\)
−0.971223 + 0.238170i \(0.923452\pi\)
\(458\) 20.9534 20.9534i 0.979090 0.979090i
\(459\) 8.31839 0.709282i 0.388269 0.0331065i
\(460\) −0.343622 0.606293i −0.0160215 0.0282685i
\(461\) −18.7320 10.8149i −0.872434 0.503700i −0.00427761 0.999991i \(-0.501362\pi\)
−0.868156 + 0.496291i \(0.834695\pi\)
\(462\) 2.88054 3.04870i 0.134015 0.141838i
\(463\) 4.85644 18.1245i 0.225698 0.842316i −0.756426 0.654079i \(-0.773056\pi\)
0.982124 0.188236i \(-0.0602771\pi\)
\(464\) −2.84283 4.92393i −0.131975 0.228588i
\(465\) 27.0679 0.551561i 1.25524 0.0255780i
\(466\) 4.00916 6.94407i 0.185721 0.321678i
\(467\) −16.8295 16.8295i −0.778777 0.778777i 0.200846 0.979623i \(-0.435631\pi\)
−0.979623 + 0.200846i \(0.935631\pi\)
\(468\) −3.10834 + 1.02492i −0.143683 + 0.0473771i
\(469\) 6.80460i 0.314207i
\(470\) −17.4449 17.7256i −0.804675 0.817620i
\(471\) 7.68281 + 12.4763i 0.354005 + 0.574875i
\(472\) 21.7552 + 5.82929i 1.00136 + 0.268315i
\(473\) 1.63578 + 0.438306i 0.0752133 + 0.0201533i
\(474\) −9.42793 15.3102i −0.433039 0.703220i
\(475\) 3.70557 + 6.66153i 0.170023 + 0.305652i
\(476\) 0.646194i 0.0296182i
\(477\) −14.7372 13.1539i −0.674772 0.602276i
\(478\) 12.9000 + 12.9000i 0.590033 + 0.590033i
\(479\) 8.91724 15.4451i 0.407439 0.705705i −0.587163 0.809469i \(-0.699755\pi\)
0.994602 + 0.103764i \(0.0330886\pi\)
\(480\) −3.09134 2.96787i −0.141100 0.135464i
\(481\) 16.7285 + 28.9747i 0.762756 + 1.32113i
\(482\) −1.78475 + 6.66078i −0.0812931 + 0.303390i
\(483\) −3.86810 + 4.09392i −0.176005 + 0.186280i
\(484\) 1.73861 + 1.00378i 0.0790275 + 0.0456265i
\(485\) 7.71328 4.37158i 0.350242 0.198503i
\(486\) 19.4277 + 7.80094i 0.881259 + 0.353858i
\(487\) −21.8232 + 21.8232i −0.988904 + 0.988904i −0.999939 0.0110354i \(-0.996487\pi\)
0.0110354 + 0.999939i \(0.496487\pi\)
\(488\) 10.1385 + 37.8372i 0.458946 + 1.71281i
\(489\) −0.291174 10.2666i −0.0131674 0.464273i
\(490\) 7.25773 + 4.26783i 0.327871 + 0.192801i
\(491\) 35.1670 20.3037i 1.58707 0.916292i 0.593278 0.804998i \(-0.297834\pi\)
0.993787 0.111295i \(-0.0354997\pi\)
\(492\) 1.17221 0.349997i 0.0528472 0.0157791i
\(493\) −2.47249 + 0.662503i −0.111356 + 0.0298376i
\(494\) −11.3775 −0.511896
\(495\) 5.77107 + 1.24860i 0.259391 + 0.0561206i
\(496\) −24.9471 −1.12016
\(497\) 11.6703 3.12705i 0.523484 0.140267i
\(498\) −5.34683 + 22.4864i −0.239597 + 1.00764i
\(499\) −37.3397 + 21.5581i −1.67156 + 0.965073i −0.704788 + 0.709418i \(0.748958\pi\)
−0.966768 + 0.255655i \(0.917709\pi\)
\(500\) 2.10609 + 0.618720i 0.0941870 + 0.0276700i
\(501\) 8.79988 5.41892i 0.393150 0.242100i
\(502\) −0.904518 3.37571i −0.0403706 0.150665i
\(503\) 28.0936 28.0936i 1.25263 1.25263i 0.298093 0.954537i \(-0.403649\pi\)
0.954537 0.298093i \(-0.0963506\pi\)
\(504\) −8.15932 + 16.1872i −0.363445 + 0.721033i
\(505\) 1.53591 5.55443i 0.0683471 0.247169i
\(506\) −1.62510 0.938252i −0.0722445 0.0417104i
\(507\) 8.85909 + 29.6708i 0.393446 + 1.31773i
\(508\) −0.136706 + 0.510193i −0.00606534 + 0.0226361i
\(509\) −7.39188 12.8031i −0.327639 0.567488i 0.654404 0.756145i \(-0.272920\pi\)
−0.982043 + 0.188658i \(0.939586\pi\)
\(510\) 7.15081 4.32512i 0.316643 0.191519i
\(511\) 2.30168 3.98663i 0.101820 0.176358i
\(512\) 17.6794 + 17.6794i 0.781325 + 0.781325i
\(513\) −6.05725 5.10544i −0.267434 0.225411i
\(514\) 14.1761i 0.625282i
\(515\) −29.2098 0.233085i −1.28714 0.0102710i
\(516\) −0.654003 + 0.0185484i −0.0287909 + 0.000816546i
\(517\) 7.04114 + 1.88667i 0.309669 + 0.0829755i
\(518\) 16.0001 + 4.28721i 0.703003 + 0.188369i
\(519\) 11.2484 20.8248i 0.493750 0.914108i
\(520\) −26.1220 + 25.7084i −1.14553 + 1.12739i
\(521\) 28.4812i 1.24778i −0.781511 0.623892i \(-0.785551\pi\)
0.781511 0.623892i \(-0.214449\pi\)
\(522\) −6.28437 1.30725i −0.275059 0.0572170i
\(523\) 15.4076 + 15.4076i 0.673726 + 0.673726i 0.958573 0.284847i \(-0.0919428\pi\)
−0.284847 + 0.958573i \(0.591943\pi\)
\(524\) 2.09829 3.63434i 0.0916641 0.158767i
\(525\) −0.219881 17.7391i −0.00959638 0.774199i
\(526\) −5.64872 9.78386i −0.246296 0.426597i
\(527\) −2.90687 + 10.8486i −0.126625 + 0.472572i
\(528\) −5.29325 1.25863i −0.230359 0.0547750i
\(529\) −17.7363 10.2401i −0.771145 0.445221i
\(530\) −19.0586 5.27010i −0.827855 0.228918i
\(531\) 19.1568 12.5593i 0.831335 0.545028i
\(532\) 0.433573 0.433573i 0.0187978 0.0187978i
\(533\) −5.17380 19.3089i −0.224102 0.836361i
\(534\) −9.47128 5.11586i −0.409862 0.221385i
\(535\) 14.7957 25.1611i 0.639674 1.08781i
\(536\) −8.48544 + 4.89907i −0.366515 + 0.211608i
\(537\) −21.7010 20.5040i −0.936466 0.884813i
\(538\) −34.7283 + 9.30542i −1.49724 + 0.401185i
\(539\) −2.46780 −0.106296
\(540\) −2.27443 + 0.175664i −0.0978758 + 0.00755939i
\(541\) −1.11754 −0.0480466 −0.0240233 0.999711i \(-0.507648\pi\)
−0.0240233 + 0.999711i \(0.507648\pi\)
\(542\) −24.1093 + 6.46008i −1.03558 + 0.277484i
\(543\) −18.5960 17.5703i −0.798033 0.754015i
\(544\) 1.53959 0.888885i 0.0660096 0.0381106i
\(545\) −17.4340 + 4.52264i −0.746791 + 0.193729i
\(546\) 23.2973 + 12.5839i 0.997033 + 0.538542i
\(547\) 8.33894 + 31.1213i 0.356547 + 1.33065i 0.878526 + 0.477694i \(0.158527\pi\)
−0.521979 + 0.852958i \(0.674806\pi\)
\(548\) −0.952326 + 0.952326i −0.0406813 + 0.0406813i
\(549\) 35.5761 + 17.9325i 1.51835 + 0.765342i
\(550\) 5.73290 1.43847i 0.244452 0.0613367i
\(551\) 2.10347 + 1.21444i 0.0896109 + 0.0517369i
\(552\) 7.89008 + 1.87611i 0.335824 + 0.0798526i
\(553\) 4.09814 15.2945i 0.174271 0.650387i
\(554\) 18.2979 + 31.6928i 0.777402 + 1.34650i
\(555\) 6.49305 + 22.3969i 0.275615 + 0.950693i
\(556\) −0.141537 + 0.245149i −0.00600250 + 0.0103966i
\(557\) −30.4033 30.4033i −1.28823 1.28823i −0.935862 0.352366i \(-0.885377\pi\)
−0.352366 0.935862i \(-0.614623\pi\)
\(558\) −18.7544 + 21.0119i −0.793937 + 0.889503i
\(559\) 10.6910i 0.452182i
\(560\) −0.130441 + 16.3466i −0.00551212 + 0.690768i
\(561\) −1.16411 + 2.15519i −0.0491489 + 0.0909922i
\(562\) −34.0105 9.11308i −1.43465 0.384412i
\(563\) 1.12220 + 0.300692i 0.0472950 + 0.0126727i 0.282389 0.959300i \(-0.408873\pi\)
−0.235094 + 0.971973i \(0.575540\pi\)
\(564\) −2.81512 + 0.0798405i −0.118538 + 0.00336189i
\(565\) −0.214165 + 26.8388i −0.00901001 + 1.12912i
\(566\) 4.78361i 0.201070i
\(567\) 6.75644 + 17.1538i 0.283744 + 0.720393i
\(568\) −12.3017 12.3017i −0.516167 0.516167i
\(569\) 0.145367 0.251784i 0.00609412 0.0105553i −0.862962 0.505268i \(-0.831394\pi\)
0.869056 + 0.494713i \(0.164727\pi\)
\(570\) −7.69993 1.89594i −0.322515 0.0794121i
\(571\) −13.0283 22.5656i −0.545215 0.944341i −0.998593 0.0530223i \(-0.983115\pi\)
0.453378 0.891318i \(-0.350219\pi\)
\(572\) 0.248542 0.927572i 0.0103921 0.0387837i
\(573\) −2.61375 8.75395i −0.109191 0.365702i
\(574\) −8.57106 4.94851i −0.357749 0.206547i
\(575\) −7.69838 + 1.93164i −0.321044 + 0.0805551i
\(576\) 25.8292 1.46627i 1.07621 0.0610948i
\(577\) −2.52834 + 2.52834i −0.105256 + 0.105256i −0.757774 0.652517i \(-0.773713\pi\)
0.652517 + 0.757774i \(0.273713\pi\)
\(578\) −5.01183 18.7044i −0.208465 0.778000i
\(579\) −13.7258 + 8.45230i −0.570427 + 0.351266i
\(580\) 0.677018 0.175629i 0.0281116 0.00729258i
\(581\) −17.6274 + 10.1772i −0.731309 + 0.422222i
\(582\) −2.13360 + 8.97298i −0.0884408 + 0.371942i
\(583\) 5.59831 1.50006i 0.231858 0.0621262i
\(584\) −6.62852 −0.274290
\(585\) 1.81566 + 37.2317i 0.0750682 + 1.53934i
\(586\) 4.00174 0.165310
\(587\) 40.0121 10.7212i 1.65147 0.442511i 0.691449 0.722425i \(-0.256973\pi\)
0.960025 + 0.279914i \(0.0903059\pi\)
\(588\) 0.913566 0.272772i 0.0376748 0.0112489i
\(589\) 9.22943 5.32861i 0.380292 0.219562i
\(590\) 11.6231 19.7659i 0.478517 0.813750i
\(591\) −0.659386 23.2495i −0.0271235 0.956358i
\(592\) −5.56137 20.7553i −0.228571 0.853038i
\(593\) −26.6583 + 26.6583i −1.09473 + 1.09473i −0.0997087 + 0.995017i \(0.531791\pi\)
−0.995017 + 0.0997087i \(0.968209\pi\)
\(594\) −5.03939 + 3.51208i −0.206769 + 0.144102i
\(595\) 7.09335 + 1.96145i 0.290799 + 0.0804117i
\(596\) 2.81726 + 1.62655i 0.115400 + 0.0666260i
\(597\) 20.9764 22.2009i 0.858506 0.908624i
\(598\) 3.06608 11.4428i 0.125382 0.467930i
\(599\) 13.2427 + 22.9370i 0.541080 + 0.937178i 0.998842 + 0.0481037i \(0.0153178\pi\)
−0.457762 + 0.889075i \(0.651349\pi\)
\(600\) −21.9627 + 13.0457i −0.896622 + 0.532590i
\(601\) 4.26710 7.39084i 0.174059 0.301479i −0.765776 0.643107i \(-0.777645\pi\)
0.939835 + 0.341628i \(0.110978\pi\)
\(602\) 3.74279 + 3.74279i 0.152545 + 0.152545i
\(603\) −2.02950 + 9.75641i −0.0826475 + 0.397312i
\(604\) 0.00111412i 4.53329e-5i
\(605\) 16.2960 16.0380i 0.662527 0.652037i
\(606\) 3.14351 + 5.10480i 0.127696 + 0.207368i
\(607\) 44.4113 + 11.9000i 1.80260 + 0.483005i 0.994379 0.105876i \(-0.0337645\pi\)
0.808220 + 0.588881i \(0.200431\pi\)
\(608\) −1.62942 0.436602i −0.0660818 0.0177066i
\(609\) −2.96400 4.81329i −0.120107 0.195045i
\(610\) 39.8794 + 0.318225i 1.61467 + 0.0128846i
\(611\) 46.0190i 1.86173i
\(612\) 0.192730 0.926510i 0.00779064 0.0374520i
\(613\) 17.3219 + 17.3219i 0.699625 + 0.699625i 0.964330 0.264705i \(-0.0852744\pi\)
−0.264705 + 0.964330i \(0.585274\pi\)
\(614\) 20.7039 35.8602i 0.835542 1.44720i
\(615\) −0.283848 13.9299i −0.0114458 0.561706i
\(616\) −2.65929 4.60603i −0.107146 0.185582i
\(617\) 9.74553 36.3708i 0.392340 1.46423i −0.433923 0.900950i \(-0.642871\pi\)
0.826263 0.563284i \(-0.190462\pi\)
\(618\) 20.8694 22.0878i 0.839492 0.888500i
\(619\) −8.57434 4.95040i −0.344632 0.198973i 0.317687 0.948196i \(-0.397094\pi\)
−0.662318 + 0.749223i \(0.730427\pi\)
\(620\) 0.817915 2.95789i 0.0328483 0.118792i
\(621\) 6.76710 4.71617i 0.271554 0.189253i
\(622\) 32.2255 32.2255i 1.29213 1.29213i
\(623\) −2.45353 9.15670i −0.0982986 0.366855i
\(624\) −0.973765 34.3344i −0.0389818 1.37447i
\(625\) 13.1846 21.2407i 0.527383 0.849628i
\(626\) −26.9753 + 15.5742i −1.07815 + 0.622469i
\(627\) 2.22713 0.664976i 0.0889431 0.0265566i
\(628\) 1.60427 0.429864i 0.0640175 0.0171534i
\(629\) −9.67378 −0.385719
\(630\) 13.6700 + 12.3987i 0.544624 + 0.493976i
\(631\) −22.0279 −0.876918 −0.438459 0.898751i \(-0.644476\pi\)
−0.438459 + 0.898751i \(0.644476\pi\)
\(632\) −22.0230 + 5.90104i −0.876027 + 0.234731i
\(633\) 0.0493675 0.207617i 0.00196218 0.00825205i
\(634\) −4.65268 + 2.68622i −0.184781 + 0.106684i
\(635\) 5.18549 + 3.04927i 0.205780 + 0.121007i
\(636\) −1.90665 + 1.17411i −0.0756038 + 0.0465564i
\(637\) −4.03223 15.0485i −0.159763 0.596242i
\(638\) 1.33171 1.33171i 0.0527227 0.0527227i
\(639\) −17.6655 + 1.00284i −0.698836 + 0.0396716i
\(640\) 18.2251 10.3293i 0.720412 0.408300i
\(641\) 21.8054 + 12.5894i 0.861263 + 0.497251i 0.864435 0.502744i \(-0.167676\pi\)
−0.00317173 + 0.999995i \(0.501010\pi\)
\(642\) 8.68736 + 29.0956i 0.342863 + 1.14831i
\(643\) −8.05166 + 30.0492i −0.317526 + 1.18502i 0.604088 + 0.796918i \(0.293538\pi\)
−0.921614 + 0.388107i \(0.873129\pi\)
\(644\) 0.319219 + 0.552904i 0.0125790 + 0.0217875i
\(645\) −1.78155 + 7.23537i −0.0701485 + 0.284893i
\(646\) 1.64484 2.84895i 0.0647154 0.112090i
\(647\) 7.86580 + 7.86580i 0.309237 + 0.309237i 0.844613 0.535377i \(-0.179830\pi\)
−0.535377 + 0.844613i \(0.679830\pi\)
\(648\) 16.5267 20.7755i 0.649230 0.816140i
\(649\) 6.72090i 0.263818i
\(650\) 18.1389 + 32.6084i 0.711465 + 1.27901i
\(651\) −24.7925 + 0.703147i −0.971695 + 0.0275585i
\(652\) −1.12456 0.301325i −0.0440411 0.0118008i
\(653\) 0.279676 + 0.0749391i 0.0109446 + 0.00293259i 0.264287 0.964444i \(-0.414863\pi\)
−0.253343 + 0.967377i \(0.581530\pi\)
\(654\) 8.90457 16.4855i 0.348196 0.644635i
\(655\) −33.5255 34.0648i −1.30995 1.33102i
\(656\) 12.8384i 0.501256i
\(657\) −4.48917 + 5.02953i −0.175139 + 0.196221i
\(658\) 16.1106 + 16.1106i 0.628058 + 0.628058i
\(659\) −13.4009 + 23.2111i −0.522026 + 0.904175i 0.477646 + 0.878552i \(0.341490\pi\)
−0.999672 + 0.0256228i \(0.991843\pi\)
\(660\) 0.322776 0.586336i 0.0125641 0.0228231i
\(661\) −12.6438 21.8997i −0.491787 0.851800i 0.508168 0.861258i \(-0.330323\pi\)
−0.999955 + 0.00945786i \(0.996989\pi\)
\(662\) −2.07289 + 7.73611i −0.0805650 + 0.300673i
\(663\) −15.0443 3.57724i −0.584271 0.138928i
\(664\) 25.3823 + 14.6545i 0.985024 + 0.568704i
\(665\) −3.44332 6.07544i −0.133526 0.235596i
\(666\) −21.6622 10.9191i −0.839393 0.423106i
\(667\) −1.78827 + 1.78827i −0.0692421 + 0.0692421i
\(668\) −0.303196 1.13154i −0.0117310 0.0437807i
\(669\) 3.81556 + 2.06095i 0.147518 + 0.0796811i
\(670\) 2.50486 + 9.65579i 0.0967710 + 0.373036i
\(671\) −10.1231 + 5.84458i −0.390799 + 0.225628i
\(672\) 2.85362 + 2.69622i 0.110081 + 0.104009i
\(673\) −23.5227 + 6.30290i −0.906735 + 0.242959i −0.681906 0.731439i \(-0.738849\pi\)
−0.224829 + 0.974398i \(0.572182\pi\)
\(674\) 13.3044 0.512466
\(675\) −4.97550 + 25.4999i −0.191507 + 0.981491i
\(676\) 3.51002 0.135001
\(677\) −0.896681 + 0.240265i −0.0344623 + 0.00923414i −0.276009 0.961155i \(-0.589012\pi\)
0.241547 + 0.970389i \(0.422345\pi\)
\(678\) −20.2949 19.1754i −0.779420 0.736429i
\(679\) −7.03407 + 4.06112i −0.269943 + 0.155852i
\(680\) −2.66100 10.2577i −0.102045 0.393365i
\(681\) −23.2386 12.5522i −0.890503 0.481000i
\(682\) −2.13874 7.98188i −0.0818966 0.305642i
\(683\) 22.2024 22.2024i 0.849550 0.849550i −0.140526 0.990077i \(-0.544880\pi\)
0.990077 + 0.140526i \(0.0448795\pi\)
\(684\) −0.750970 + 0.492340i −0.0287141 + 0.0188251i
\(685\) 7.56311 + 13.3445i 0.288972 + 0.509866i
\(686\) −23.3578 13.4856i −0.891805 0.514884i
\(687\) −37.1801 8.84071i −1.41851 0.337294i
\(688\) 1.77711 6.63225i 0.0677515 0.252852i
\(689\) 18.2945 + 31.6871i 0.696966 + 1.20718i
\(690\) 3.98186 7.23321i 0.151587 0.275363i
\(691\) −4.05877 + 7.02999i −0.154403 + 0.267433i −0.932841 0.360287i \(-0.882679\pi\)
0.778439 + 0.627721i \(0.216012\pi\)
\(692\) −1.89711 1.89711i −0.0721173 0.0721173i
\(693\) −5.29593 1.10164i −0.201176 0.0418479i
\(694\) 14.2473i 0.540821i
\(695\) 2.26141 + 2.29779i 0.0857802 + 0.0871602i
\(696\) −3.86828 + 7.16156i −0.146627 + 0.271458i
\(697\) 5.58297 + 1.49595i 0.211470 + 0.0566633i
\(698\) 12.1157 + 3.24640i 0.458586 + 0.122878i
\(699\) −10.3369 + 0.293168i −0.390979 + 0.0110887i
\(700\) −1.93388 0.551405i −0.0730937 0.0208411i
\(701\) 19.6359i 0.741637i 0.928705 + 0.370819i \(0.120923\pi\)
−0.928705 + 0.370819i \(0.879077\pi\)
\(702\) −29.6504 24.9913i −1.11908 0.943236i
\(703\) 6.49076 + 6.49076i 0.244804 + 0.244804i
\(704\) −3.79526 + 6.57359i −0.143039 + 0.247752i
\(705\) −7.66859 + 31.1443i −0.288816 + 1.17296i
\(706\) −12.8937 22.3325i −0.485260 0.840496i
\(707\) −1.36642 + 5.09956i −0.0513896 + 0.191789i
\(708\) −0.742876 2.48804i −0.0279190 0.0935061i
\(709\) 2.68383 + 1.54951i 0.100793 + 0.0581931i 0.549549 0.835461i \(-0.314799\pi\)
−0.448756 + 0.893654i \(0.648133\pi\)
\(710\) −15.4092 + 8.73329i −0.578295 + 0.327754i
\(711\) −10.4375 + 20.7069i −0.391438 + 0.776569i
\(712\) −9.65210 + 9.65210i −0.361728 + 0.361728i
\(713\) 2.87199 + 10.7184i 0.107557 + 0.401408i
\(714\) −6.51914 + 4.01445i −0.243973 + 0.150237i
\(715\) −9.42765 5.54383i −0.352574 0.207327i
\(716\) −2.93083 + 1.69211i −0.109530 + 0.0632373i
\(717\) 5.44280 22.8900i 0.203265 0.854841i
\(718\) −16.3380 + 4.37774i −0.609727 + 0.163376i
\(719\) 20.3126 0.757533 0.378767 0.925492i \(-0.376348\pi\)
0.378767 + 0.925492i \(0.376348\pi\)
\(720\) 5.06245 23.3987i 0.188666 0.872020i
\(721\) 26.7604 0.996608
\(722\) 21.6325 5.79640i 0.805077 0.215720i
\(723\) 8.52158 2.54437i 0.316921 0.0946261i
\(724\) −2.51149 + 1.45001i −0.0933388 + 0.0538892i
\(725\) 0.127122 7.96481i 0.00472118 0.295806i
\(726\) 0.674315 + 23.7759i 0.0250262 + 0.882407i
\(727\) 4.57247 + 17.0647i 0.169584 + 0.632895i 0.997411 + 0.0719119i \(0.0229101\pi\)
−0.827827 + 0.560983i \(0.810423\pi\)
\(728\) 23.7421 23.7421i 0.879941 0.879941i
\(729\) −4.57117 26.6102i −0.169303 0.985564i
\(730\) −1.79858 + 6.50434i −0.0665685 + 0.240736i
\(731\) −2.67706 1.54560i −0.0990147 0.0571662i
\(732\) 3.10150 3.28256i 0.114635 0.121327i
\(733\) −6.82693 + 25.4785i −0.252158 + 0.941068i 0.717491 + 0.696568i \(0.245291\pi\)
−0.969649 + 0.244500i \(0.921376\pi\)
\(734\) −18.9970 32.9038i −0.701192 1.21450i
\(735\) −0.221218 10.8563i −0.00815975 0.400440i
\(736\) 0.878218 1.52112i 0.0323715 0.0560692i
\(737\) −2.06746 2.06746i −0.0761558 0.0761558i
\(738\) 10.8133 + 9.65150i 0.398041 + 0.355277i
\(739\) 6.41459i 0.235965i −0.993016 0.117982i \(-0.962357\pi\)
0.993016 0.117982i \(-0.0376426\pi\)
\(740\) 2.64322 + 0.0210921i 0.0971667 + 0.000775361i
\(741\) 7.69396 + 12.4944i 0.282645 + 0.458992i
\(742\) 17.4979 + 4.68854i 0.642368 + 0.172122i
\(743\) −18.4970 4.95625i −0.678588 0.181827i −0.0969677 0.995288i \(-0.530914\pi\)
−0.581620 + 0.813460i \(0.697581\pi\)
\(744\) 18.7266 + 30.4104i 0.686549 + 1.11490i
\(745\) 26.4063 25.9882i 0.967453 0.952135i
\(746\) 3.13856i 0.114911i
\(747\) 28.3096 9.33459i 1.03579 0.341535i
\(748\) 0.196335 + 0.196335i 0.00717870 + 0.00717870i
\(749\) −13.3702 + 23.1579i −0.488536 + 0.846170i
\(750\) 6.84200 + 25.0911i 0.249835 + 0.916196i
\(751\) −1.96958 3.41141i −0.0718709 0.124484i 0.827850 0.560949i \(-0.189564\pi\)
−0.899721 + 0.436465i \(0.856230\pi\)
\(752\) 7.64946 28.5482i 0.278947 1.04105i
\(753\) −3.09541 + 3.27612i −0.112803 + 0.119388i
\(754\) 10.2966 + 5.94472i 0.374979 + 0.216494i
\(755\) 0.0122298 + 0.00338180i 0.000445090 + 0.000123076i
\(756\) 2.08229 0.177550i 0.0757321 0.00645743i
\(757\) 17.3710 17.3710i 0.631361 0.631361i −0.317049 0.948409i \(-0.602692\pi\)
0.948409 + 0.317049i \(0.102692\pi\)
\(758\) −6.41725 23.9495i −0.233085 0.869885i
\(759\) 0.0686093 + 2.41912i 0.00249036 + 0.0878085i
\(760\) −5.09711 + 8.66798i −0.184892 + 0.314421i
\(761\) 7.11860 4.10993i 0.258049 0.148985i −0.365395 0.930853i \(-0.619066\pi\)
0.623444 + 0.781868i \(0.285733\pi\)
\(762\) −5.99637 + 1.79039i −0.217226 + 0.0648591i
\(763\) 15.9380 4.27057i 0.576994 0.154605i
\(764\) −1.03558 −0.0374660
\(765\) −9.58540 4.92794i −0.346561 0.178170i
\(766\) −32.5079 −1.17456
\(767\) −40.9835 + 10.9815i −1.47983 + 0.396519i
\(768\) 1.86921 7.86108i 0.0674495 0.283662i