Properties

Label 576.2.bm.a.133.35
Level $576$
Weight $2$
Character 576.133
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 133.35
Character \(\chi\) \(=\) 576.133
Dual form 576.2.bm.a.13.35

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.597638 + 1.28173i) q^{2} +(1.25745 + 1.19114i) q^{3} +(-1.28566 - 1.53202i) q^{4} +(-0.632104 - 1.86212i) q^{5} +(-2.27822 + 0.899843i) q^{6} +(-1.03864 - 1.35358i) q^{7} +(2.73199 - 0.732272i) q^{8} +(0.162374 + 2.99560i) q^{9} +O(q^{10})\) \(q+(-0.597638 + 1.28173i) q^{2} +(1.25745 + 1.19114i) q^{3} +(-1.28566 - 1.53202i) q^{4} +(-0.632104 - 1.86212i) q^{5} +(-2.27822 + 0.899843i) q^{6} +(-1.03864 - 1.35358i) q^{7} +(2.73199 - 0.732272i) q^{8} +(0.162374 + 2.99560i) q^{9} +(2.76450 + 0.302686i) q^{10} +(-5.45054 + 0.357247i) q^{11} +(0.208195 - 3.45784i) q^{12} +(-4.17789 - 4.76397i) q^{13} +(2.35565 - 0.522301i) q^{14} +(1.42320 - 3.09445i) q^{15} +(-0.694167 + 3.93931i) q^{16} +(-2.66682 + 2.66682i) q^{17} +(-3.93659 - 1.58217i) q^{18} +(-0.0844392 - 0.424505i) q^{19} +(-2.04013 + 3.36244i) q^{20} +(0.306263 - 2.93922i) q^{21} +(2.79955 - 7.19961i) q^{22} +(-1.98705 - 1.52472i) q^{23} +(4.30759 + 2.33339i) q^{24} +(0.898839 - 0.689703i) q^{25} +(8.60298 - 2.50779i) q^{26} +(-3.36400 + 3.96024i) q^{27} +(-0.738375 + 3.33145i) q^{28} +(-3.02838 - 6.14095i) q^{29} +(3.11569 + 3.67352i) q^{30} +(-4.60137 + 2.65660i) q^{31} +(-4.63426 - 3.24401i) q^{32} +(-7.27932 - 6.04313i) q^{33} +(-1.82435 - 5.01193i) q^{34} +(-1.86399 + 2.78966i) q^{35} +(4.38056 - 4.10008i) q^{36} +(0.0591265 - 0.297249i) q^{37} +(0.594564 + 0.145472i) q^{38} +(0.421054 - 10.9669i) q^{39} +(-3.09048 - 4.62442i) q^{40} +(6.21223 + 4.76681i) q^{41} +(3.58424 + 2.14913i) q^{42} +(-0.447490 - 6.82737i) q^{43} +(7.55483 + 7.89103i) q^{44} +(5.47553 - 2.19589i) q^{45} +(3.14181 - 1.63563i) q^{46} +(2.77339 + 10.3504i) q^{47} +(-5.56515 + 4.12664i) q^{48} +(1.05833 - 3.94974i) q^{49} +(0.346832 + 1.56426i) q^{50} +(-6.52995 + 0.176846i) q^{51} +(-1.92716 + 12.5254i) q^{52} +(3.91081 + 5.85294i) q^{53} +(-3.06550 - 6.67853i) q^{54} +(4.11054 + 9.92372i) q^{55} +(-3.82873 - 2.93739i) q^{56} +(0.399466 - 0.634373i) q^{57} +(9.68092 - 0.211500i) q^{58} +(3.86316 + 11.3805i) q^{59} +(-6.57051 + 1.79803i) q^{60} +(7.79698 - 3.84505i) q^{61} +(-0.655090 - 7.48539i) q^{62} +(3.88613 - 3.33112i) q^{63} +(6.92756 - 4.00112i) q^{64} +(-6.23022 + 10.7910i) q^{65} +(12.0960 - 5.71852i) q^{66} +(0.315417 - 4.81234i) q^{67} +(7.51424 + 0.657002i) q^{68} +(-0.682472 - 4.28412i) q^{69} +(-2.46160 - 4.05634i) q^{70} +(3.28862 - 7.93942i) q^{71} +(2.63720 + 8.06506i) q^{72} +(-3.23336 - 7.80602i) q^{73} +(0.345656 + 0.253431i) q^{74} +(1.95178 + 0.203373i) q^{75} +(-0.541789 + 0.675130i) q^{76} +(6.14468 + 7.00667i) q^{77} +(13.8050 + 7.09392i) q^{78} +(-5.51494 + 1.47773i) q^{79} +(7.77424 - 1.19743i) q^{80} +(-8.94727 + 0.972817i) q^{81} +(-9.82242 + 5.11357i) q^{82} +(6.39720 + 2.17156i) q^{83} +(-4.89669 + 3.30963i) q^{84} +(6.65164 + 3.28023i) q^{85} +(9.01828 + 3.50674i) q^{86} +(3.50668 - 11.3292i) q^{87} +(-14.6292 + 4.96727i) q^{88} +(-13.2991 - 5.50867i) q^{89} +(-0.457845 + 8.33049i) q^{90} +(-2.10909 + 10.6031i) q^{91} +(0.218771 + 5.00447i) q^{92} +(-8.95038 - 2.14032i) q^{93} +(-14.9239 - 2.63108i) q^{94} +(-0.737103 + 0.425567i) q^{95} +(-1.96329 - 9.59924i) q^{96} +(-6.93492 - 4.00388i) q^{97} +(4.43000 + 3.71700i) q^{98} +(-1.95520 - 16.2696i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{1}{16}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.597638 + 1.28173i −0.422594 + 0.906319i
\(3\) 1.25745 + 1.19114i 0.725991 + 0.687705i
\(4\) −1.28566 1.53202i −0.642829 0.766010i
\(5\) −0.632104 1.86212i −0.282685 0.832764i −0.991815 0.127686i \(-0.959245\pi\)
0.709129 0.705079i \(-0.249088\pi\)
\(6\) −2.27822 + 0.899843i −0.930079 + 0.367360i
\(7\) −1.03864 1.35358i −0.392567 0.511604i 0.554699 0.832051i \(-0.312833\pi\)
−0.947266 + 0.320447i \(0.896167\pi\)
\(8\) 2.73199 0.732272i 0.965905 0.258897i
\(9\) 0.162374 + 2.99560i 0.0541247 + 0.998534i
\(10\) 2.76450 + 0.302686i 0.874212 + 0.0957179i
\(11\) −5.45054 + 0.357247i −1.64340 + 0.107714i −0.858807 0.512299i \(-0.828794\pi\)
−0.784591 + 0.620013i \(0.787127\pi\)
\(12\) 0.208195 3.45784i 0.0601007 0.998192i
\(13\) −4.17789 4.76397i −1.15874 1.32129i −0.938274 0.345893i \(-0.887576\pi\)
−0.220464 0.975395i \(-0.570757\pi\)
\(14\) 2.35565 0.522301i 0.629573 0.139591i
\(15\) 1.42320 3.09445i 0.367469 0.798983i
\(16\) −0.694167 + 3.93931i −0.173542 + 0.984826i
\(17\) −2.66682 + 2.66682i −0.646799 + 0.646799i −0.952218 0.305419i \(-0.901203\pi\)
0.305419 + 0.952218i \(0.401203\pi\)
\(18\) −3.93659 1.58217i −0.927863 0.372920i
\(19\) −0.0844392 0.424505i −0.0193717 0.0973880i 0.969890 0.243544i \(-0.0783099\pi\)
−0.989262 + 0.146156i \(0.953310\pi\)
\(20\) −2.04013 + 3.36244i −0.456187 + 0.751865i
\(21\) 0.306263 2.93922i 0.0668320 0.641390i
\(22\) 2.79955 7.19961i 0.596867 1.53496i
\(23\) −1.98705 1.52472i −0.414329 0.317926i 0.380476 0.924791i \(-0.375760\pi\)
−0.794805 + 0.606865i \(0.792427\pi\)
\(24\) 4.30759 + 2.33339i 0.879283 + 0.476300i
\(25\) 0.898839 0.689703i 0.179768 0.137941i
\(26\) 8.60298 2.50779i 1.68718 0.491819i
\(27\) −3.36400 + 3.96024i −0.647403 + 0.762148i
\(28\) −0.738375 + 3.33145i −0.139540 + 0.629584i
\(29\) −3.02838 6.14095i −0.562357 1.14035i −0.973481 0.228767i \(-0.926530\pi\)
0.411124 0.911579i \(-0.365136\pi\)
\(30\) 3.11569 + 3.67352i 0.568844 + 0.670690i
\(31\) −4.60137 + 2.65660i −0.826430 + 0.477140i −0.852629 0.522517i \(-0.824993\pi\)
0.0261987 + 0.999657i \(0.491660\pi\)
\(32\) −4.63426 3.24401i −0.819229 0.573466i
\(33\) −7.27932 6.04313i −1.26717 1.05197i
\(34\) −1.82435 5.01193i −0.312873 0.859539i
\(35\) −1.86399 + 2.78966i −0.315072 + 0.471539i
\(36\) 4.38056 4.10008i 0.730094 0.683347i
\(37\) 0.0591265 0.297249i 0.00972033 0.0488674i −0.975621 0.219463i \(-0.929569\pi\)
0.985341 + 0.170596i \(0.0545693\pi\)
\(38\) 0.594564 + 0.145472i 0.0964510 + 0.0235986i
\(39\) 0.421054 10.9669i 0.0674226 1.75611i
\(40\) −3.09048 4.62442i −0.488648 0.731185i
\(41\) 6.21223 + 4.76681i 0.970187 + 0.744451i 0.966798 0.255543i \(-0.0822544\pi\)
0.00338960 + 0.999994i \(0.498921\pi\)
\(42\) 3.58424 + 2.14913i 0.553061 + 0.331618i
\(43\) −0.447490 6.82737i −0.0682415 1.04116i −0.885424 0.464785i \(-0.846132\pi\)
0.817182 0.576380i \(-0.195535\pi\)
\(44\) 7.55483 + 7.89103i 1.13893 + 1.18962i
\(45\) 5.47553 2.19589i 0.816244 0.327344i
\(46\) 3.14181 1.63563i 0.463235 0.241161i
\(47\) 2.77339 + 10.3504i 0.404541 + 1.50977i 0.804901 + 0.593409i \(0.202218\pi\)
−0.400361 + 0.916358i \(0.631115\pi\)
\(48\) −5.56515 + 4.12664i −0.803259 + 0.595629i
\(49\) 1.05833 3.94974i 0.151190 0.564248i
\(50\) 0.346832 + 1.56426i 0.0490495 + 0.221220i
\(51\) −6.52995 + 0.176846i −0.914376 + 0.0247633i
\(52\) −1.92716 + 12.5254i −0.267249 + 1.73697i
\(53\) 3.91081 + 5.85294i 0.537191 + 0.803963i 0.996437 0.0843462i \(-0.0268802\pi\)
−0.459245 + 0.888309i \(0.651880\pi\)
\(54\) −3.06550 6.67853i −0.417161 0.908832i
\(55\) 4.11054 + 9.92372i 0.554265 + 1.33811i
\(56\) −3.82873 2.93739i −0.511635 0.392526i
\(57\) 0.399466 0.634373i 0.0529105 0.0840248i
\(58\) 9.68092 0.211500i 1.27117 0.0277713i
\(59\) 3.86316 + 11.3805i 0.502941 + 1.48162i 0.841284 + 0.540593i \(0.181800\pi\)
−0.338343 + 0.941023i \(0.609866\pi\)
\(60\) −6.57051 + 1.79803i −0.848249 + 0.232125i
\(61\) 7.79698 3.84505i 0.998301 0.492308i 0.131690 0.991291i \(-0.457960\pi\)
0.866612 + 0.498983i \(0.166293\pi\)
\(62\) −0.655090 7.48539i −0.0831966 0.950646i
\(63\) 3.88613 3.33112i 0.489606 0.419682i
\(64\) 6.92756 4.00112i 0.865944 0.500140i
\(65\) −6.23022 + 10.7910i −0.772763 + 1.33846i
\(66\) 12.0960 5.71852i 1.48892 0.703901i
\(67\) 0.315417 4.81234i 0.0385343 0.587920i −0.934310 0.356461i \(-0.883983\pi\)
0.972845 0.231459i \(-0.0743501\pi\)
\(68\) 7.51424 + 0.657002i 0.911235 + 0.0796732i
\(69\) −0.682472 4.28412i −0.0821599 0.515747i
\(70\) −2.46160 4.05634i −0.294217 0.484825i
\(71\) 3.28862 7.93942i 0.390287 0.942236i −0.599590 0.800307i \(-0.704670\pi\)
0.989877 0.141928i \(-0.0453303\pi\)
\(72\) 2.63720 + 8.06506i 0.310797 + 0.950476i
\(73\) −3.23336 7.80602i −0.378436 0.913626i −0.992259 0.124182i \(-0.960369\pi\)
0.613823 0.789443i \(-0.289631\pi\)
\(74\) 0.345656 + 0.253431i 0.0401817 + 0.0294608i
\(75\) 1.95178 + 0.203373i 0.225372 + 0.0234835i
\(76\) −0.541789 + 0.675130i −0.0621475 + 0.0774427i
\(77\) 6.14468 + 7.00667i 0.700251 + 0.798484i
\(78\) 13.8050 + 7.09392i 1.56311 + 0.803229i
\(79\) −5.51494 + 1.47773i −0.620480 + 0.166257i −0.555346 0.831619i \(-0.687414\pi\)
−0.0651339 + 0.997877i \(0.520747\pi\)
\(80\) 7.77424 1.19743i 0.869186 0.133877i
\(81\) −8.94727 + 0.972817i −0.994141 + 0.108091i
\(82\) −9.82242 + 5.11357i −1.08471 + 0.564699i
\(83\) 6.39720 + 2.17156i 0.702184 + 0.238359i 0.649621 0.760258i \(-0.274928\pi\)
0.0525631 + 0.998618i \(0.483261\pi\)
\(84\) −4.89669 + 3.30963i −0.534272 + 0.361110i
\(85\) 6.65164 + 3.28023i 0.721472 + 0.355790i
\(86\) 9.01828 + 3.50674i 0.972466 + 0.378141i
\(87\) 3.50668 11.3292i 0.375956 1.21462i
\(88\) −14.6292 + 4.96727i −1.55948 + 0.529513i
\(89\) −13.2991 5.50867i −1.40970 0.583918i −0.457451 0.889235i \(-0.651238\pi\)
−0.952251 + 0.305317i \(0.901238\pi\)
\(90\) −0.457845 + 8.33049i −0.0482611 + 0.878111i
\(91\) −2.10909 + 10.6031i −0.221093 + 1.11151i
\(92\) 0.218771 + 5.00447i 0.0228084 + 0.521752i
\(93\) −8.95038 2.14032i −0.928112 0.221941i
\(94\) −14.9239 2.63108i −1.53929 0.271375i
\(95\) −0.737103 + 0.425567i −0.0756252 + 0.0436622i
\(96\) −1.96329 9.59924i −0.200378 0.979719i
\(97\) −6.93492 4.00388i −0.704135 0.406532i 0.104751 0.994498i \(-0.466595\pi\)
−0.808886 + 0.587966i \(0.799929\pi\)
\(98\) 4.43000 + 3.71700i 0.447497 + 0.375474i
\(99\) −1.95520 16.2696i −0.196505 1.63516i
\(100\) −2.21224 0.490316i −0.221224 0.0490316i
\(101\) −3.28715 2.88275i −0.327083 0.286844i 0.480016 0.877260i \(-0.340631\pi\)
−0.807100 + 0.590415i \(0.798964\pi\)
\(102\) 3.67588 8.47532i 0.363966 0.839182i
\(103\) 1.08720 + 8.25808i 0.107125 + 0.813693i 0.957686 + 0.287816i \(0.0929292\pi\)
−0.850561 + 0.525876i \(0.823737\pi\)
\(104\) −14.9025 9.95578i −1.46131 0.976244i
\(105\) −5.66676 + 1.28759i −0.553019 + 0.125656i
\(106\) −9.83913 + 1.51466i −0.955661 + 0.147117i
\(107\) 0.297876 0.199035i 0.0287968 0.0192414i −0.541089 0.840966i \(-0.681988\pi\)
0.569885 + 0.821724i \(0.306988\pi\)
\(108\) 10.3921 + 0.0622053i 0.999982 + 0.00598571i
\(109\) −1.50391 7.56067i −0.144049 0.724181i −0.983523 0.180782i \(-0.942137\pi\)
0.839475 0.543399i \(-0.182863\pi\)
\(110\) −15.1761 0.662194i −1.44699 0.0631377i
\(111\) 0.428414 0.303349i 0.0406632 0.0287926i
\(112\) 6.05314 3.15189i 0.571968 0.297826i
\(113\) −0.737584 + 2.75270i −0.0693861 + 0.258952i −0.991902 0.127007i \(-0.959463\pi\)
0.922516 + 0.385960i \(0.126130\pi\)
\(114\) 0.574359 + 0.891132i 0.0537936 + 0.0834622i
\(115\) −1.58318 + 4.66391i −0.147633 + 0.434912i
\(116\) −5.51460 + 12.5347i −0.512017 + 1.16382i
\(117\) 13.5926 13.2888i 1.25663 1.22855i
\(118\) −16.8955 1.84990i −1.55536 0.170297i
\(119\) 6.37960 + 0.839890i 0.584817 + 0.0769926i
\(120\) 1.62220 9.49618i 0.148086 0.866879i
\(121\) 18.6748 2.45859i 1.69771 0.223508i
\(122\) 0.268535 + 12.2916i 0.0243120 + 1.11283i
\(123\) 2.13365 + 13.3937i 0.192385 + 1.20767i
\(124\) 9.98575 + 3.63391i 0.896747 + 0.326334i
\(125\) −10.0278 6.70036i −0.896914 0.599299i
\(126\) 1.94710 + 6.97177i 0.173462 + 0.621095i
\(127\) 3.80631 0.337755 0.168878 0.985637i \(-0.445986\pi\)
0.168878 + 0.985637i \(0.445986\pi\)
\(128\) 0.988184 + 11.2705i 0.0873439 + 0.996178i
\(129\) 7.56965 9.11812i 0.666471 0.802806i
\(130\) −10.1078 14.4346i −0.886512 1.26600i
\(131\) 0.572754 8.73854i 0.0500418 0.763490i −0.896930 0.442173i \(-0.854208\pi\)
0.946972 0.321317i \(-0.104126\pi\)
\(132\) 0.100529 + 18.9215i 0.00874997 + 1.64690i
\(133\) −0.486898 + 0.555200i −0.0422194 + 0.0481420i
\(134\) 5.97960 + 3.28031i 0.516559 + 0.283376i
\(135\) 9.50083 + 3.76089i 0.817701 + 0.323686i
\(136\) −5.33289 + 9.23857i −0.457292 + 0.792201i
\(137\) −19.2612 2.53579i −1.64560 0.216647i −0.749976 0.661465i \(-0.769935\pi\)
−0.895621 + 0.444818i \(0.853268\pi\)
\(138\) 5.89895 + 1.68561i 0.502152 + 0.143489i
\(139\) −2.70002 + 5.47511i −0.229013 + 0.464393i −0.980801 0.195013i \(-0.937525\pi\)
0.751788 + 0.659405i \(0.229192\pi\)
\(140\) 6.67027 0.730878i 0.563741 0.0617705i
\(141\) −8.84141 + 16.3187i −0.744581 + 1.37428i
\(142\) 8.21078 + 8.96001i 0.689034 + 0.751907i
\(143\) 24.4737 + 24.4737i 2.04659 + 2.04659i
\(144\) −11.9133 1.43981i −0.992776 0.119984i
\(145\) −9.52093 + 9.52093i −0.790670 + 0.790670i
\(146\) 11.9376 + 0.520883i 0.987961 + 0.0431086i
\(147\) 6.03549 3.70599i 0.497798 0.305665i
\(148\) −0.531408 + 0.291577i −0.0436814 + 0.0239675i
\(149\) −13.4501 6.63288i −1.10188 0.543386i −0.201938 0.979398i \(-0.564724\pi\)
−0.899941 + 0.436012i \(0.856390\pi\)
\(150\) −1.42713 + 2.38011i −0.116524 + 0.194335i
\(151\) −2.34520 + 17.8136i −0.190850 + 1.44965i 0.581031 + 0.813881i \(0.302649\pi\)
−0.771881 + 0.635767i \(0.780684\pi\)
\(152\) −0.541540 1.09791i −0.0439247 0.0890523i
\(153\) −8.42176 7.55571i −0.680859 0.610843i
\(154\) −12.6529 + 3.68837i −1.01960 + 0.297217i
\(155\) 7.85545 + 6.88904i 0.630965 + 0.553341i
\(156\) −17.3429 + 13.4546i −1.38854 + 1.07723i
\(157\) 7.10642 + 0.465779i 0.567154 + 0.0371732i 0.346283 0.938130i \(-0.387444\pi\)
0.220870 + 0.975303i \(0.429110\pi\)
\(158\) 1.40190 7.95181i 0.111529 0.632612i
\(159\) −2.05401 + 12.0181i −0.162894 + 0.953098i
\(160\) −3.11140 + 10.6801i −0.245978 + 0.844336i
\(161\) 4.27325i 0.336780i
\(162\) 4.10034 12.0494i 0.322153 0.946688i
\(163\) 7.55875 11.3125i 0.592047 0.886061i −0.407586 0.913167i \(-0.633629\pi\)
0.999633 + 0.0271061i \(0.00862920\pi\)
\(164\) −0.683954 15.6457i −0.0534078 1.22173i
\(165\) −6.65173 + 17.3748i −0.517836 + 1.35263i
\(166\) −6.60656 + 6.90167i −0.512768 + 0.535674i
\(167\) −3.10016 23.5480i −0.239897 1.82220i −0.510920 0.859628i \(-0.670695\pi\)
0.271023 0.962573i \(-0.412638\pi\)
\(168\) −1.31560 8.25418i −0.101501 0.636824i
\(169\) −3.54381 + 26.9179i −0.272601 + 2.07061i
\(170\) −8.17963 + 6.56521i −0.627349 + 0.503529i
\(171\) 1.25794 0.321875i 0.0961968 0.0246144i
\(172\) −9.88435 + 9.46323i −0.753674 + 0.721564i
\(173\) −6.56291 2.22781i −0.498969 0.169377i 0.0605980 0.998162i \(-0.480699\pi\)
−0.559567 + 0.828785i \(0.689033\pi\)
\(174\) 12.4252 + 11.2654i 0.941953 + 0.854025i
\(175\) −1.86713 0.500296i −0.141142 0.0378188i
\(176\) 2.37628 21.7193i 0.179119 1.63716i
\(177\) −8.69803 + 18.9120i −0.653784 + 1.42151i
\(178\) 15.0087 13.7537i 1.12495 1.03088i
\(179\) −0.863311 + 0.171723i −0.0645269 + 0.0128352i −0.227248 0.973837i \(-0.572973\pi\)
0.162721 + 0.986672i \(0.447973\pi\)
\(180\) −10.4038 5.56545i −0.775454 0.414824i
\(181\) −4.41036 6.60057i −0.327819 0.490616i 0.630550 0.776149i \(-0.282830\pi\)
−0.958369 + 0.285533i \(0.907830\pi\)
\(182\) −12.3299 9.04011i −0.913949 0.670098i
\(183\) 14.3843 + 4.45233i 1.06332 + 0.329126i
\(184\) −6.54512 2.71046i −0.482513 0.199818i
\(185\) −0.590887 + 0.0777917i −0.0434428 + 0.00571936i
\(186\) 8.09240 10.1928i 0.593363 0.747374i
\(187\) 13.5829 15.4883i 0.993279 1.13262i
\(188\) 12.2914 17.5560i 0.896445 1.28040i
\(189\) 8.85445 + 0.440189i 0.644067 + 0.0320190i
\(190\) −0.104940 1.19910i −0.00761318 0.0869920i
\(191\) −8.33386 + 14.4347i −0.603017 + 1.04446i 0.389345 + 0.921092i \(0.372701\pi\)
−0.992362 + 0.123363i \(0.960632\pi\)
\(192\) 13.4770 + 3.22046i 0.972616 + 0.232417i
\(193\) 6.76529 + 11.7178i 0.486976 + 0.843467i 0.999888 0.0149740i \(-0.00476654\pi\)
−0.512912 + 0.858441i \(0.671433\pi\)
\(194\) 9.27646 6.49582i 0.666011 0.466373i
\(195\) −20.6878 + 6.14818i −1.48149 + 0.440280i
\(196\) −7.41172 + 3.45663i −0.529409 + 0.246902i
\(197\) −15.1860 3.02068i −1.08196 0.215214i −0.378248 0.925704i \(-0.623473\pi\)
−0.703707 + 0.710490i \(0.748473\pi\)
\(198\) 22.0218 + 7.21732i 1.56502 + 0.512912i
\(199\) 2.92334 7.05758i 0.207230 0.500298i −0.785755 0.618538i \(-0.787725\pi\)
0.992985 + 0.118240i \(0.0377252\pi\)
\(200\) 1.95057 2.54246i 0.137926 0.179779i
\(201\) 6.12878 5.67558i 0.432291 0.400324i
\(202\) 5.65943 2.49039i 0.398196 0.175223i
\(203\) −5.16686 + 10.4774i −0.362643 + 0.735367i
\(204\) 8.66622 + 9.77665i 0.606757 + 0.684503i
\(205\) 4.94959 14.5810i 0.345694 1.01838i
\(206\) −11.2344 3.54185i −0.782735 0.246772i
\(207\) 4.24481 6.20000i 0.295034 0.430929i
\(208\) 21.6669 13.1510i 1.50233 0.911857i
\(209\) 0.611892 + 2.28361i 0.0423255 + 0.157961i
\(210\) 1.73632 8.03276i 0.119818 0.554313i
\(211\) −20.1409 + 17.6631i −1.38656 + 1.21598i −0.438162 + 0.898896i \(0.644370\pi\)
−0.948397 + 0.317084i \(0.897296\pi\)
\(212\) 3.93886 13.5163i 0.270522 0.928304i
\(213\) 13.5922 6.06624i 0.931324 0.415652i
\(214\) 0.0770863 + 0.500748i 0.00526951 + 0.0342304i
\(215\) −12.4305 + 5.14889i −0.847754 + 0.351151i
\(216\) −6.29045 + 13.2827i −0.428011 + 0.903773i
\(217\) 8.37505 + 3.46906i 0.568536 + 0.235495i
\(218\) 10.5895 + 2.59094i 0.717213 + 0.175480i
\(219\) 5.23226 13.6671i 0.353564 0.923536i
\(220\) 9.91859 19.0559i 0.668711 1.28475i
\(221\) 23.8463 + 1.56297i 1.60408 + 0.105137i
\(222\) 0.132774 + 0.730403i 0.00891123 + 0.0490214i
\(223\) −4.77455 2.75659i −0.319727 0.184595i 0.331544 0.943440i \(-0.392431\pi\)
−0.651271 + 0.758845i \(0.725764\pi\)
\(224\) 0.422290 + 9.64217i 0.0282154 + 0.644245i
\(225\) 2.21202 + 2.58057i 0.147468 + 0.172038i
\(226\) −3.08741 2.59050i −0.205371 0.172318i
\(227\) −5.34194 10.8324i −0.354557 0.718970i 0.644398 0.764691i \(-0.277108\pi\)
−0.998954 + 0.0457208i \(0.985442\pi\)
\(228\) −1.48545 + 0.203598i −0.0983762 + 0.0134836i
\(229\) −10.7327 + 3.64327i −0.709238 + 0.240754i −0.652667 0.757645i \(-0.726350\pi\)
−0.0565710 + 0.998399i \(0.518017\pi\)
\(230\) −5.03170 4.81654i −0.331780 0.317593i
\(231\) −0.619270 + 16.1297i −0.0407450 + 1.06126i
\(232\) −12.7704 14.5594i −0.838416 0.955874i
\(233\) 21.6850 8.98223i 1.42063 0.588446i 0.465614 0.884988i \(-0.345834\pi\)
0.955020 + 0.296543i \(0.0958337\pi\)
\(234\) 8.90925 + 25.3639i 0.582416 + 1.65809i
\(235\) 17.5207 11.7069i 1.14292 0.763676i
\(236\) 12.4685 20.5499i 0.811628 1.33768i
\(237\) −8.69496 4.71090i −0.564798 0.306006i
\(238\) −4.88920 + 7.67496i −0.316920 + 0.497494i
\(239\) 3.56686 + 0.955737i 0.230721 + 0.0618215i 0.372327 0.928102i \(-0.378560\pi\)
−0.141606 + 0.989923i \(0.545227\pi\)
\(240\) 11.2020 + 7.75449i 0.723089 + 0.500550i
\(241\) 11.8286 3.16946i 0.761946 0.204163i 0.143136 0.989703i \(-0.454281\pi\)
0.618811 + 0.785540i \(0.287615\pi\)
\(242\) −8.00954 + 25.4054i −0.514873 + 1.63312i
\(243\) −12.4095 9.43417i −0.796072 0.605203i
\(244\) −15.9149 7.00171i −1.01885 0.448239i
\(245\) −8.02385 + 0.525911i −0.512625 + 0.0335992i
\(246\) −18.4422 5.26981i −1.17583 0.335991i
\(247\) −1.66955 + 2.17580i −0.106231 + 0.138443i
\(248\) −10.6255 + 10.6273i −0.674723 + 0.674832i
\(249\) 5.45755 + 10.3506i 0.345858 + 0.655942i
\(250\) 14.5810 8.84854i 0.922186 0.559630i
\(251\) 3.42810 + 0.681892i 0.216380 + 0.0430406i 0.302090 0.953280i \(-0.402316\pi\)
−0.0857098 + 0.996320i \(0.527316\pi\)
\(252\) −10.0996 1.67094i −0.636214 0.105259i
\(253\) 11.3752 + 7.60067i 0.715153 + 0.477850i
\(254\) −2.27479 + 4.87865i −0.142733 + 0.306114i
\(255\) 4.45692 + 12.0478i 0.279103 + 0.754460i
\(256\) −15.0363 5.46908i −0.939766 0.341817i
\(257\) −8.92266 15.4545i −0.556580 0.964025i −0.997779 0.0666155i \(-0.978780\pi\)
0.441199 0.897409i \(-0.354553\pi\)
\(258\) 7.16304 + 15.1516i 0.445952 + 0.943296i
\(259\) −0.463760 + 0.228701i −0.0288166 + 0.0142108i
\(260\) 24.5420 4.32879i 1.52203 0.268460i
\(261\) 17.9041 10.0690i 1.10824 0.623253i
\(262\) 10.8581 + 5.95660i 0.670818 + 0.368000i
\(263\) 14.7989 + 19.2864i 0.912542 + 1.18925i 0.981468 + 0.191626i \(0.0613759\pi\)
−0.0689265 + 0.997622i \(0.521957\pi\)
\(264\) −24.3123 11.1793i −1.49632 0.688040i
\(265\) 8.42683 10.9821i 0.517656 0.674622i
\(266\) −0.420628 0.955879i −0.0257903 0.0586087i
\(267\) −10.1614 22.7680i −0.621867 1.39338i
\(268\) −7.77811 + 5.70379i −0.475124 + 0.348415i
\(269\) 10.6991 2.12818i 0.652335 0.129757i 0.142181 0.989841i \(-0.454589\pi\)
0.510154 + 0.860083i \(0.329589\pi\)
\(270\) −10.4985 + 9.92984i −0.638918 + 0.604311i
\(271\) −0.165078 0.165078i −0.0100278 0.0100278i 0.702075 0.712103i \(-0.252257\pi\)
−0.712103 + 0.702075i \(0.752257\pi\)
\(272\) −8.65420 12.3566i −0.524738 0.749231i
\(273\) −15.2819 + 10.8207i −0.924901 + 0.654898i
\(274\) 14.7614 23.1722i 0.891770 1.39988i
\(275\) −4.65276 + 4.08036i −0.280572 + 0.246055i
\(276\) −5.68593 + 6.55347i −0.342253 + 0.394473i
\(277\) −1.45840 22.2509i −0.0876267 1.33692i −0.784678 0.619904i \(-0.787172\pi\)
0.697051 0.717021i \(-0.254495\pi\)
\(278\) −5.40397 6.73283i −0.324108 0.403808i
\(279\) −8.70526 13.3525i −0.521170 0.799394i
\(280\) −3.04962 + 8.98628i −0.182250 + 0.537033i
\(281\) 3.96708 3.04404i 0.236656 0.181592i −0.483624 0.875276i \(-0.660680\pi\)
0.720280 + 0.693683i \(0.244013\pi\)
\(282\) −15.6322 21.0849i −0.930882 1.25559i
\(283\) 7.76136 2.63463i 0.461365 0.156612i −0.0810729 0.996708i \(-0.525835\pi\)
0.542438 + 0.840096i \(0.317501\pi\)
\(284\) −16.3914 + 5.16915i −0.972649 + 0.306733i
\(285\) −1.43378 0.342863i −0.0849299 0.0203094i
\(286\) −45.9950 + 16.7422i −2.71974 + 0.989988i
\(287\) 13.3597i 0.788598i
\(288\) 8.96529 14.4091i 0.528285 0.849067i
\(289\) 2.77614i 0.163302i
\(290\) −6.51318 17.8933i −0.382467 1.05073i
\(291\) −3.95116 13.2951i −0.231621 0.779375i
\(292\) −7.80198 + 14.9894i −0.456577 + 0.877191i
\(293\) 15.5767 5.28759i 0.910003 0.308904i 0.173101 0.984904i \(-0.444621\pi\)
0.736902 + 0.676000i \(0.236288\pi\)
\(294\) 1.14304 + 9.95070i 0.0666634 + 0.580336i
\(295\) 18.7499 14.3873i 1.09166 0.837663i
\(296\) −0.0561340 0.855378i −0.00326272 0.0497178i
\(297\) 16.9208 22.7872i 0.981846 1.32225i
\(298\) 16.5399 13.2754i 0.958128 0.769022i
\(299\) 1.03797 + 15.8364i 0.0600274 + 0.915841i
\(300\) −2.19775 3.25163i −0.126887 0.187733i
\(301\) −8.77659 + 7.69686i −0.505874 + 0.443640i
\(302\) −21.4306 13.6520i −1.23319 0.785583i
\(303\) −0.699674 7.54037i −0.0401952 0.433183i
\(304\) 1.73087 0.0379546i 0.0992721 0.00217685i
\(305\) −12.0884 12.0884i −0.692182 0.692182i
\(306\) 14.7175 6.27883i 0.841345 0.358937i
\(307\) 5.99100 1.19168i 0.341924 0.0680129i −0.0211415 0.999776i \(-0.506730\pi\)
0.363066 + 0.931764i \(0.381730\pi\)
\(308\) 2.83439 18.4219i 0.161504 1.04969i
\(309\) −8.46942 + 11.6791i −0.481809 + 0.664403i
\(310\) −13.5246 + 5.95140i −0.768145 + 0.338017i
\(311\) −3.81741 + 4.97494i −0.216465 + 0.282103i −0.888946 0.458011i \(-0.848562\pi\)
0.672481 + 0.740114i \(0.265229\pi\)
\(312\) −6.88045 30.2699i −0.389529 1.71369i
\(313\) 12.8535 + 16.7510i 0.726521 + 0.946821i 0.999886 0.0150898i \(-0.00480342\pi\)
−0.273365 + 0.961910i \(0.588137\pi\)
\(314\) −4.84407 + 8.83013i −0.273366 + 0.498313i
\(315\) −8.65938 5.13081i −0.487901 0.289089i
\(316\) 9.35424 + 6.54915i 0.526217 + 0.368419i
\(317\) 1.94370 0.958527i 0.109169 0.0538363i −0.386884 0.922128i \(-0.626449\pi\)
0.496053 + 0.868292i \(0.334782\pi\)
\(318\) −14.1764 9.81516i −0.794974 0.550407i
\(319\) 18.7002 + 32.3896i 1.04701 + 1.81347i
\(320\) −11.8295 10.3708i −0.661289 0.579745i
\(321\) 0.611644 + 0.104536i 0.0341386 + 0.00583461i
\(322\) −5.47715 2.55386i −0.305230 0.142321i
\(323\) 1.35726 + 0.906893i 0.0755200 + 0.0504609i
\(324\) 12.9935 + 12.4567i 0.721861 + 0.692038i
\(325\) −7.04098 1.40054i −0.390563 0.0776878i
\(326\) 9.98212 + 16.4490i 0.552859 + 0.911027i
\(327\) 7.11472 11.2986i 0.393445 0.624812i
\(328\) 20.4624 + 8.47385i 1.12984 + 0.467890i
\(329\) 11.1296 14.5043i 0.613593 0.799649i
\(330\) −18.2945 18.9096i −1.00708 1.04094i
\(331\) −24.5018 + 1.60593i −1.34674 + 0.0882701i −0.721638 0.692271i \(-0.756610\pi\)
−0.625104 + 0.780541i \(0.714944\pi\)
\(332\) −4.89774 12.5925i −0.268799 0.691104i
\(333\) 0.900040 + 0.128854i 0.0493219 + 0.00706115i
\(334\) 32.0350 + 10.0996i 1.75287 + 0.552627i
\(335\) −9.16051 + 2.45455i −0.500492 + 0.134107i
\(336\) 11.3659 + 3.24677i 0.620059 + 0.177126i
\(337\) 20.9882 + 5.62377i 1.14330 + 0.306346i 0.780277 0.625434i \(-0.215078\pi\)
0.363022 + 0.931780i \(0.381745\pi\)
\(338\) −32.3836 20.6294i −1.76143 1.12209i
\(339\) −4.20633 + 2.58283i −0.228456 + 0.140280i
\(340\) −3.52636 14.4077i −0.191244 0.781367i
\(341\) 24.1309 16.1237i 1.30676 0.873149i
\(342\) −0.339234 + 1.80470i −0.0183437 + 0.0975869i
\(343\) −17.4794 + 7.24020i −0.943799 + 0.390934i
\(344\) −6.22203 18.3246i −0.335469 0.987998i
\(345\) −7.54614 + 3.97885i −0.406271 + 0.214214i
\(346\) 6.77769 7.08045i 0.364371 0.380647i
\(347\) 0.715169 0.242767i 0.0383923 0.0130324i −0.302177 0.953252i \(-0.597713\pi\)
0.340570 + 0.940219i \(0.389380\pi\)
\(348\) −21.8649 + 9.19315i −1.17208 + 0.492805i
\(349\) 3.57285 + 7.24503i 0.191250 + 0.387817i 0.971285 0.237919i \(-0.0764653\pi\)
−0.780035 + 0.625736i \(0.784799\pi\)
\(350\) 1.75711 2.09416i 0.0939216 0.111938i
\(351\) 32.9209 0.519433i 1.75719 0.0277253i
\(352\) 26.4181 + 16.0260i 1.40809 + 0.854191i
\(353\) −7.25900 4.19099i −0.386358 0.223064i 0.294223 0.955737i \(-0.404939\pi\)
−0.680581 + 0.732673i \(0.738272\pi\)
\(354\) −19.0418 22.4511i −1.01206 1.19326i
\(355\) −16.8629 1.10525i −0.894989 0.0586607i
\(356\) 8.65871 + 27.4567i 0.458911 + 1.45520i
\(357\) 7.02161 + 8.65511i 0.371623 + 0.458077i
\(358\) 0.295845 1.20916i 0.0156359 0.0639060i
\(359\) −25.1495 10.4173i −1.32734 0.549802i −0.397445 0.917626i \(-0.630103\pi\)
−0.929896 + 0.367824i \(0.880103\pi\)
\(360\) 13.3511 10.0087i 0.703665 0.527507i
\(361\) 17.3806 7.19930i 0.914770 0.378910i
\(362\) 11.0959 1.70813i 0.583189 0.0897775i
\(363\) 26.4112 + 19.1528i 1.38623 + 1.00526i
\(364\) 18.9558 10.4008i 0.993552 0.545151i
\(365\) −12.4919 + 10.9551i −0.653857 + 0.573417i
\(366\) −14.3033 + 15.7759i −0.747645 + 0.824621i
\(367\) −5.45472 20.3573i −0.284734 1.06264i −0.949034 0.315175i \(-0.897937\pi\)
0.664300 0.747466i \(-0.268730\pi\)
\(368\) 7.38568 6.76920i 0.385005 0.352869i
\(369\) −13.2708 + 19.3834i −0.690848 + 1.00906i
\(370\) 0.253428 0.803848i 0.0131751 0.0417901i
\(371\) 3.86049 11.3726i 0.200427 0.590438i
\(372\) 8.22812 + 16.4639i 0.426608 + 0.853613i
\(373\) 5.88678 11.9372i 0.304806 0.618085i −0.689543 0.724244i \(-0.742189\pi\)
0.994349 + 0.106159i \(0.0338554\pi\)
\(374\) 11.7342 + 26.6660i 0.606760 + 1.37887i
\(375\) −4.62842 20.3699i −0.239011 1.05190i
\(376\) 15.1562 + 26.2464i 0.781622 + 1.35356i
\(377\) −16.6031 + 40.0834i −0.855102 + 2.06440i
\(378\) −5.85596 + 11.0859i −0.301198 + 0.570199i
\(379\) −8.78796 1.74803i −0.451407 0.0897904i −0.0358492 0.999357i \(-0.511414\pi\)
−0.415558 + 0.909567i \(0.636414\pi\)
\(380\) 1.59964 + 0.582123i 0.0820598 + 0.0298623i
\(381\) 4.78625 + 4.53384i 0.245207 + 0.232276i
\(382\) −13.5207 19.3084i −0.691779 0.987906i
\(383\) −9.42201 16.3194i −0.481442 0.833882i 0.518331 0.855180i \(-0.326553\pi\)
−0.999773 + 0.0212980i \(0.993220\pi\)
\(384\) −12.1821 + 15.3491i −0.621665 + 0.783283i
\(385\) 9.16316 15.8711i 0.466998 0.808864i
\(386\) −19.0623 + 1.66825i −0.970244 + 0.0849117i
\(387\) 20.3794 2.44909i 1.03594 0.124494i
\(388\) 2.78192 + 15.7721i 0.141230 + 0.800705i
\(389\) −4.53246 + 5.16828i −0.229805 + 0.262042i −0.855238 0.518236i \(-0.826589\pi\)
0.625433 + 0.780278i \(0.284922\pi\)
\(390\) 4.48354 30.1906i 0.227033 1.52876i
\(391\) 9.36526 1.23296i 0.473622 0.0623535i
\(392\) −0.000936341 11.5656i −4.72924e−5 0.584153i
\(393\) 11.1290 10.3061i 0.561386 0.519873i
\(394\) 12.9474 17.6590i 0.652281 0.889649i
\(395\) 6.23772 + 9.33540i 0.313854 + 0.469715i
\(396\) −22.4117 + 23.9126i −1.12623 + 1.20165i
\(397\) 11.2258 2.23294i 0.563404 0.112068i 0.0948322 0.995493i \(-0.469769\pi\)
0.468572 + 0.883425i \(0.344769\pi\)
\(398\) 7.29880 + 7.96481i 0.365856 + 0.399240i
\(399\) −1.27357 + 0.118175i −0.0637583 + 0.00591616i
\(400\) 2.09301 + 4.01957i 0.104650 + 0.200979i
\(401\) −25.6849 6.88225i −1.28264 0.343683i −0.447782 0.894143i \(-0.647786\pi\)
−0.834862 + 0.550460i \(0.814452\pi\)
\(402\) 3.61176 + 11.2474i 0.180138 + 0.560968i
\(403\) 31.8800 + 10.8218i 1.58805 + 0.539072i
\(404\) −0.190283 + 8.74220i −0.00946696 + 0.434941i
\(405\) 7.46710 + 16.0459i 0.371043 + 0.797330i
\(406\) −10.3412 12.8842i −0.513226 0.639431i
\(407\) −0.216080 + 1.64129i −0.0107107 + 0.0813557i
\(408\) −17.7103 + 5.26484i −0.876790 + 0.260649i
\(409\) 2.23082 + 16.9448i 0.110307 + 0.837866i 0.953740 + 0.300632i \(0.0971975\pi\)
−0.843433 + 0.537234i \(0.819469\pi\)
\(410\) 15.7309 + 15.0582i 0.776892 + 0.743672i
\(411\) −21.1996 26.1314i −1.04570 1.28897i
\(412\) 11.2538 12.2827i 0.554434 0.605124i
\(413\) 11.3920 17.0493i 0.560562 0.838940i
\(414\) 5.40986 + 9.14604i 0.265880 + 0.449504i
\(415\) 13.2850i 0.652135i
\(416\) 3.90705 + 35.6306i 0.191559 + 1.74693i
\(417\) −9.91677 + 3.66858i −0.485626 + 0.179651i
\(418\) −3.29266 0.580493i −0.161049 0.0283929i
\(419\) 9.25975 + 0.606916i 0.452368 + 0.0296498i 0.289885 0.957061i \(-0.406383\pi\)
0.162483 + 0.986711i \(0.448050\pi\)
\(420\) 9.25813 + 7.02618i 0.451751 + 0.342843i
\(421\) −20.0243 17.5608i −0.975924 0.855862i 0.0136473 0.999907i \(-0.495656\pi\)
−0.989571 + 0.144045i \(0.953989\pi\)
\(422\) −10.6024 36.3714i −0.516115 1.77053i
\(423\) −30.5555 + 9.98862i −1.48566 + 0.485663i
\(424\) 14.9702 + 13.1264i 0.727019 + 0.637475i
\(425\) −0.557727 + 4.23636i −0.0270537 + 0.205493i
\(426\) −0.347952 + 21.0470i −0.0168583 + 1.01973i
\(427\) −13.3028 6.56021i −0.643767 0.317471i
\(428\) −0.687892 0.200462i −0.0332505 0.00968970i
\(429\) 1.62293 + 59.9260i 0.0783557 + 2.89325i
\(430\) 0.829468 19.0097i 0.0400005 0.916730i
\(431\) 1.22787 1.22787i 0.0591446 0.0591446i −0.676916 0.736060i \(-0.736684\pi\)
0.736060 + 0.676916i \(0.236684\pi\)
\(432\) −13.2654 16.0009i −0.638232 0.769844i
\(433\) −22.8898 22.8898i −1.10001 1.10001i −0.994408 0.105606i \(-0.966322\pi\)
−0.105606 0.994408i \(-0.533678\pi\)
\(434\) −9.45164 + 8.66131i −0.453693 + 0.415756i
\(435\) −23.3129 + 0.631364i −1.11777 + 0.0302716i
\(436\) −9.64958 + 12.0245i −0.462131 + 0.575867i
\(437\) −0.479465 + 0.972259i −0.0229359 + 0.0465095i
\(438\) 14.3905 + 14.8743i 0.687605 + 0.710722i
\(439\) 36.7308 + 4.83571i 1.75307 + 0.230796i 0.937529 0.347908i \(-0.113108\pi\)
0.815538 + 0.578703i \(0.196441\pi\)
\(440\) 18.4968 + 24.1015i 0.881802 + 1.14899i
\(441\) 12.0037 + 2.52900i 0.571604 + 0.120428i
\(442\) −16.2548 + 29.6304i −0.773161 + 1.40938i
\(443\) 16.1885 18.4594i 0.769139 0.877035i −0.226140 0.974095i \(-0.572611\pi\)
0.995279 + 0.0970600i \(0.0309439\pi\)
\(444\) −1.01553 0.266336i −0.0481949 0.0126397i
\(445\) −1.85138 + 28.2465i −0.0877637 + 1.33901i
\(446\) 6.38664 4.47223i 0.302416 0.211766i
\(447\) −9.01224 24.3615i −0.426264 1.15226i
\(448\) −12.6110 5.22127i −0.595815 0.246682i
\(449\) 7.68706 0.362775 0.181387 0.983412i \(-0.441941\pi\)
0.181387 + 0.983412i \(0.441941\pi\)
\(450\) −4.62959 + 1.29297i −0.218241 + 0.0609511i
\(451\) −35.5629 23.7624i −1.67459 1.11893i
\(452\) 5.16547 2.40904i 0.242964 0.113312i
\(453\) −24.1674 + 19.6063i −1.13548 + 0.921182i
\(454\) 17.0767 0.373076i 0.801450 0.0175093i
\(455\) 21.0774 2.77490i 0.988125 0.130089i
\(456\) 0.626803 2.02562i 0.0293528 0.0948583i
\(457\) 16.8024 + 2.21208i 0.785982 + 0.103477i 0.512825 0.858493i \(-0.328599\pi\)
0.273157 + 0.961969i \(0.411932\pi\)
\(458\) 1.74460 15.9338i 0.0815198 0.744538i
\(459\) −1.59005 19.5324i −0.0742174 0.911696i
\(460\) 9.18063 3.57072i 0.428049 0.166486i
\(461\) −0.111330 + 0.327968i −0.00518517 + 0.0152750i −0.949492 0.313792i \(-0.898401\pi\)
0.944307 + 0.329067i \(0.106734\pi\)
\(462\) −20.3038 10.4335i −0.944620 0.485409i
\(463\) −9.63299 + 35.9508i −0.447683 + 1.67078i 0.261070 + 0.965320i \(0.415925\pi\)
−0.708754 + 0.705456i \(0.750742\pi\)
\(464\) 26.2933 7.66688i 1.22064 0.355926i
\(465\) 1.67204 + 18.0196i 0.0775391 + 0.835638i
\(466\) −1.44701 + 33.1624i −0.0670313 + 1.53622i
\(467\) 6.73979 + 33.8832i 0.311880 + 1.56793i 0.745296 + 0.666734i \(0.232308\pi\)
−0.433416 + 0.901194i \(0.642692\pi\)
\(468\) −37.8342 3.73919i −1.74889 0.172844i
\(469\) −6.84147 + 4.57132i −0.315910 + 0.211084i
\(470\) 4.53410 + 29.4532i 0.209143 + 1.35858i
\(471\) 8.38117 + 9.05043i 0.386184 + 0.417022i
\(472\) 18.8878 + 28.2626i 0.869379 + 1.30089i
\(473\) 4.87812 + 37.0530i 0.224296 + 1.70370i
\(474\) 11.2345 8.32917i 0.516019 0.382571i
\(475\) −0.368679 0.323323i −0.0169162 0.0148351i
\(476\) −6.91525 10.8535i −0.316960 0.497468i
\(477\) −16.8981 + 12.6656i −0.773709 + 0.579918i
\(478\) −3.35669 + 4.00056i −0.153531 + 0.182981i
\(479\) 4.12136 + 2.37947i 0.188310 + 0.108721i 0.591191 0.806532i \(-0.298658\pi\)
−0.402881 + 0.915252i \(0.631991\pi\)
\(480\) −16.6339 + 9.72360i −0.759231 + 0.443820i
\(481\) −1.66311 + 0.960196i −0.0758312 + 0.0437812i
\(482\) −3.00682 + 17.0552i −0.136957 + 0.776845i
\(483\) −5.09004 + 5.37341i −0.231605 + 0.244499i
\(484\) −27.7760 25.4493i −1.26255 1.15679i
\(485\) −3.07210 + 15.4445i −0.139497 + 0.701299i
\(486\) 19.5085 10.2674i 0.884922 0.465740i
\(487\) −2.72266 1.12776i −0.123376 0.0511039i 0.320142 0.947370i \(-0.396270\pi\)
−0.443517 + 0.896266i \(0.646270\pi\)
\(488\) 18.4857 16.2141i 0.836807 0.733980i
\(489\) 22.9795 5.22137i 1.03917 0.236118i
\(490\) 4.12128 10.5987i 0.186181 0.478801i
\(491\) −6.15459 3.03511i −0.277753 0.136973i 0.298078 0.954542i \(-0.403655\pi\)
−0.575831 + 0.817569i \(0.695321\pi\)
\(492\) 17.7762 20.4885i 0.801414 0.923691i
\(493\) 24.4530 + 8.30067i 1.10131 + 0.373843i
\(494\) −1.79100 3.44025i −0.0805809 0.154784i
\(495\) −29.0601 + 13.9249i −1.30615 + 0.625878i
\(496\) −7.27104 19.9703i −0.326480 0.896694i
\(497\) −14.1623 + 3.79477i −0.635265 + 0.170219i
\(498\) −16.5283 + 0.809196i −0.740650 + 0.0362609i
\(499\) −21.7574 24.8096i −0.973997 1.11063i −0.993840 0.110827i \(-0.964650\pi\)
0.0198428 0.999803i \(-0.493683\pi\)
\(500\) 2.62724 + 23.9772i 0.117494 + 1.07229i
\(501\) 24.1507 33.3032i 1.07897 1.48788i
\(502\) −2.92276 + 3.98637i −0.130449 + 0.177921i
\(503\) −6.64497 16.0424i −0.296285 0.715295i −0.999988 0.00480103i \(-0.998472\pi\)
0.703704 0.710493i \(-0.251528\pi\)
\(504\) 8.17758 11.9463i 0.364258 0.532131i
\(505\) −3.29020 + 7.94325i −0.146412 + 0.353470i
\(506\) −16.5403 + 10.0375i −0.735304 + 0.446221i
\(507\) −36.5192 + 29.6268i −1.62187 + 1.31577i
\(508\) −4.89361 5.83133i −0.217119 0.258724i
\(509\) 0.638424 9.74047i 0.0282977 0.431739i −0.960081 0.279724i \(-0.909757\pi\)
0.988378 0.152015i \(-0.0485762\pi\)
\(510\) −18.1056 1.48764i −0.801729 0.0658738i
\(511\) −7.20776 + 12.4842i −0.318853 + 0.552269i
\(512\) 15.9961 16.0039i 0.706935 0.707279i
\(513\) 1.96519 + 1.09363i 0.0867654 + 0.0482852i
\(514\) 25.1410 2.20024i 1.10892 0.0970482i
\(515\) 14.6903 7.24445i 0.647332 0.319229i
\(516\) −23.7011 + 0.125924i −1.04338 + 0.00554348i
\(517\) −18.8141 55.4247i −0.827445 2.43757i
\(518\) −0.0159723 0.731095i −0.000701782 0.0321225i
\(519\) −5.59892 10.6187i −0.245765 0.466109i
\(520\) −9.11891 + 34.0433i −0.399891 + 1.49290i
\(521\) 17.3101 + 41.7903i 0.758370 + 1.83087i 0.503820 + 0.863809i \(0.331928\pi\)
0.254551 + 0.967059i \(0.418072\pi\)
\(522\) 2.20550 + 28.9658i 0.0965321 + 1.26780i
\(523\) −12.0588 18.0473i −0.527295 0.789153i 0.468234 0.883604i \(-0.344890\pi\)
−0.995529 + 0.0944514i \(0.969890\pi\)
\(524\) −14.1240 + 10.3573i −0.617009 + 0.452461i
\(525\) −1.75191 2.85311i −0.0764595 0.124520i
\(526\) −33.5643 + 7.44197i −1.46347 + 0.324485i
\(527\) 5.18634 19.3557i 0.225921 0.843147i
\(528\) 28.8588 24.4805i 1.25592 1.06538i
\(529\) −4.32923 16.1569i −0.188227 0.702474i
\(530\) 9.03983 + 17.3642i 0.392665 + 0.754253i
\(531\) −33.4642 + 13.4204i −1.45222 + 0.582396i
\(532\) 1.47656 + 0.0321390i 0.0640171 + 0.00139340i
\(533\) −3.24506 49.5101i −0.140559 2.14452i
\(534\) 35.2552 + 0.582845i 1.52564 + 0.0252222i
\(535\) −0.558915 0.428871i −0.0241640 0.0185417i
\(536\) −2.66222 13.3782i −0.114990 0.577852i
\(537\) −1.29012 0.812390i −0.0556727 0.0350572i
\(538\) −3.66643 + 14.9852i −0.158071 + 0.646058i
\(539\) −4.35743 + 21.9063i −0.187688 + 0.943570i
\(540\) −6.45306 19.3907i −0.277696 0.834442i
\(541\) −9.75937 + 14.6059i −0.419588 + 0.627958i −0.979702 0.200457i \(-0.935757\pi\)
0.560114 + 0.828415i \(0.310757\pi\)
\(542\) 0.310242 0.112928i 0.0133260 0.00485068i
\(543\) 2.31638 13.5533i 0.0994053 0.581626i
\(544\) 21.0099 3.70754i 0.900794 0.158960i
\(545\) −13.1282 + 7.57959i −0.562352 + 0.324674i
\(546\) −4.73617 26.0541i −0.202690 1.11501i
\(547\) 2.70006 + 5.47517i 0.115446 + 0.234101i 0.946925 0.321455i \(-0.104172\pi\)
−0.831479 + 0.555557i \(0.812505\pi\)
\(548\) 20.8785 + 32.7687i 0.891884 + 1.39981i
\(549\) 12.7843 + 22.7323i 0.545619 + 0.970192i
\(550\) −2.44925 8.40215i −0.104436 0.358269i
\(551\) −2.35115 + 1.80410i −0.100162 + 0.0768572i
\(552\) −5.00165 11.2044i −0.212884 0.476892i
\(553\) 7.72823 + 5.93008i 0.328638 + 0.252173i
\(554\) 29.3912 + 11.4287i 1.24871 + 0.485558i
\(555\) −0.835673 0.606009i −0.0354723 0.0257236i
\(556\) 11.8593 2.90263i 0.502946 0.123099i
\(557\) −2.53127 12.7256i −0.107253 0.539200i −0.996630 0.0820248i \(-0.973861\pi\)
0.889377 0.457175i \(-0.151139\pi\)
\(558\) 22.3169 3.17782i 0.944749 0.134528i
\(559\) −30.6558 + 30.6558i −1.29660 + 1.29660i
\(560\) −9.69541 9.27933i −0.409706 0.392123i
\(561\) 35.5286 3.29671i 1.50002 0.139187i
\(562\) 1.53076 + 6.90395i 0.0645714 + 0.291226i
\(563\) −2.03390 2.31922i −0.0857188 0.0977435i 0.707390 0.706823i \(-0.249872\pi\)
−0.793109 + 0.609080i \(0.791539\pi\)
\(564\) 36.3676 7.43504i 1.53135 0.313071i
\(565\) 5.59209 0.366525i 0.235261 0.0154198i
\(566\) −1.26161 + 11.5225i −0.0530293 + 0.484327i
\(567\) 10.6097 + 11.1004i 0.445567 + 0.466173i
\(568\) 3.17065 24.0986i 0.133038 1.01115i
\(569\) −8.47620 11.0464i −0.355341 0.463089i 0.581142 0.813802i \(-0.302606\pi\)
−0.936483 + 0.350713i \(0.885939\pi\)
\(570\) 1.29634 1.63281i 0.0542977 0.0683910i
\(571\) 8.81572 + 25.9703i 0.368926 + 1.08682i 0.959951 + 0.280168i \(0.0903902\pi\)
−0.591025 + 0.806653i \(0.701276\pi\)
\(572\) 6.02937 68.9589i 0.252101 2.88332i
\(573\) −27.6731 + 8.22412i −1.15606 + 0.343567i
\(574\) 17.1235 + 7.98426i 0.714722 + 0.333257i
\(575\) −2.83764 −0.118338
\(576\) 13.1106 + 20.1025i 0.546276 + 0.837605i
\(577\) 37.9534 1.58002 0.790010 0.613093i \(-0.210075\pi\)
0.790010 + 0.613093i \(0.210075\pi\)
\(578\) −3.55826 1.65913i −0.148004 0.0690106i
\(579\) −5.45053 + 22.7930i −0.226516 + 0.947245i
\(580\) 26.8269 + 2.34559i 1.11393 + 0.0973954i
\(581\) −3.70499 10.9146i −0.153709 0.452812i
\(582\) 19.4021 + 2.88137i 0.804244 + 0.119437i
\(583\) −23.4070 30.5045i −0.969417 1.26337i
\(584\) −14.5496 18.9583i −0.602069 0.784499i
\(585\) −33.3373 16.9111i −1.37833 0.699186i
\(586\) −2.53199 + 23.1252i −0.104596 + 0.955294i
\(587\) 6.14950 0.403059i 0.253817 0.0166360i 0.0620364 0.998074i \(-0.480240\pi\)
0.191781 + 0.981438i \(0.438574\pi\)
\(588\) −13.4372 4.48185i −0.554142 0.184828i
\(589\) 1.51627 + 1.72898i 0.0624770 + 0.0712414i
\(590\) 7.23499 + 32.6307i 0.297860 + 1.34339i
\(591\) −15.4976 21.8870i −0.637486 0.900309i
\(592\) 1.12991 + 0.439258i 0.0464390 + 0.0180534i
\(593\) −23.7068 + 23.7068i −0.973521 + 0.973521i −0.999658 0.0261373i \(-0.991679\pi\)
0.0261373 + 0.999658i \(0.491679\pi\)
\(594\) 19.0945 + 35.3064i 0.783456 + 1.44864i
\(595\) −2.46859 12.4105i −0.101202 0.508779i
\(596\) 7.13059 + 29.1335i 0.292080 + 1.19335i
\(597\) 12.0825 5.39246i 0.494505 0.220699i
\(598\) −20.9183 8.13402i −0.855412 0.332625i
\(599\) −5.16011 3.95949i −0.210837 0.161781i 0.497945 0.867209i \(-0.334088\pi\)
−0.708782 + 0.705428i \(0.750755\pi\)
\(600\) 5.48117 0.873620i 0.223768 0.0356654i
\(601\) 21.6678 16.6263i 0.883849 0.678201i −0.0636455 0.997973i \(-0.520273\pi\)
0.947495 + 0.319771i \(0.103606\pi\)
\(602\) −4.62007 15.8491i −0.188300 0.645963i
\(603\) 14.4671 + 0.163466i 0.589144 + 0.00665684i
\(604\) 30.3059 19.3093i 1.23313 0.785683i
\(605\) −16.3826 33.2207i −0.666048 1.35061i
\(606\) 10.0829 + 3.60962i 0.409588 + 0.146631i
\(607\) −31.0700 + 17.9383i −1.26109 + 0.728093i −0.973286 0.229595i \(-0.926260\pi\)
−0.287808 + 0.957688i \(0.592926\pi\)
\(608\) −0.985785 + 2.24119i −0.0399789 + 0.0908921i
\(609\) −18.9771 + 7.02033i −0.768990 + 0.284478i
\(610\) 22.7186 8.26959i 0.919849 0.334826i
\(611\) 37.7223 56.4554i 1.52608 2.28394i
\(612\) −0.747999 + 22.6164i −0.0302361 + 0.914212i
\(613\) −6.01402 + 30.2345i −0.242904 + 1.22116i 0.646096 + 0.763256i \(0.276400\pi\)
−0.889001 + 0.457906i \(0.848600\pi\)
\(614\) −2.05303 + 8.39103i −0.0828536 + 0.338634i
\(615\) 23.5919 12.4393i 0.951317 0.501601i
\(616\) 21.9180 + 14.6426i 0.883101 + 0.589966i
\(617\) −16.7931 12.8858i −0.676064 0.518763i 0.212705 0.977116i \(-0.431773\pi\)
−0.888770 + 0.458354i \(0.848439\pi\)
\(618\) −9.90785 17.8354i −0.398552 0.717445i
\(619\) −0.344179 5.25115i −0.0138337 0.211062i −0.999180 0.0404944i \(-0.987107\pi\)
0.985346 0.170567i \(-0.0545600\pi\)
\(620\) 0.454729 20.8916i 0.0182624 0.839029i
\(621\) 12.7227 2.74004i 0.510544 0.109954i
\(622\) −4.09510 7.86610i −0.164199 0.315402i
\(623\) 6.35652 + 23.7228i 0.254668 + 0.950436i
\(624\) 42.9098 + 9.27154i 1.71777 + 0.371159i
\(625\) −4.67210 + 17.4365i −0.186884 + 0.697460i
\(626\) −29.1519 + 6.46365i −1.16514 + 0.258339i
\(627\) −1.95067 + 3.60038i −0.0779025 + 0.143785i
\(628\) −8.42284 11.4860i −0.336108 0.458341i
\(629\) 0.635030 + 0.950389i 0.0253203 + 0.0378945i
\(630\) 11.7515 8.03261i 0.468190 0.320027i
\(631\) 1.82619 + 4.40882i 0.0726996 + 0.175512i 0.956052 0.293197i \(-0.0947192\pi\)
−0.883352 + 0.468709i \(0.844719\pi\)
\(632\) −13.9847 + 8.07557i −0.556281 + 0.321229i
\(633\) −46.3655 1.78012i −1.84286 0.0707533i
\(634\) 0.0669427 + 3.06415i 0.00265864 + 0.121693i
\(635\) −2.40598 7.08779i −0.0954784 0.281270i
\(636\) 21.0527 12.3044i 0.834795 0.487901i
\(637\) −23.2380 + 11.4597i −0.920724 + 0.454051i
\(638\) −52.6906 + 4.61127i −2.08604 + 0.182562i
\(639\) 24.3173 + 8.56223i 0.961979 + 0.338716i
\(640\) 20.3623 8.96422i 0.804891 0.354342i
\(641\) −7.98080 + 13.8232i −0.315223 + 0.545982i −0.979485 0.201518i \(-0.935413\pi\)
0.664262 + 0.747500i \(0.268746\pi\)
\(642\) −0.499528 + 0.721487i −0.0197148 + 0.0284748i
\(643\) 0.848923 12.9521i 0.0334783 0.510780i −0.947884 0.318615i \(-0.896782\pi\)
0.981363 0.192165i \(-0.0615509\pi\)
\(644\) 6.54671 5.49394i 0.257976 0.216492i
\(645\) −21.7638 8.33199i −0.856950 0.328072i
\(646\) −1.97354 + 1.19765i −0.0776480 + 0.0471208i
\(647\) 9.53919 23.0297i 0.375024 0.905389i −0.617858 0.786290i \(-0.711999\pi\)
0.992882 0.119099i \(-0.0380007\pi\)
\(648\) −23.7315 + 9.20956i −0.932261 + 0.361786i
\(649\) −25.1220 60.6498i −0.986123 2.38071i
\(650\) 6.00306 8.18761i 0.235460 0.321144i
\(651\) 6.39910 + 14.3380i 0.250800 + 0.561952i
\(652\) −27.0489 + 2.96381i −1.05932 + 0.116072i
\(653\) 18.4795 + 21.0719i 0.723160 + 0.824606i 0.990284 0.139056i \(-0.0444069\pi\)
−0.267125 + 0.963662i \(0.586074\pi\)
\(654\) 10.2297 + 15.8716i 0.400011 + 0.620628i
\(655\) −16.6342 + 4.45713i −0.649954 + 0.174155i
\(656\) −23.0903 + 21.1629i −0.901523 + 0.826273i
\(657\) 22.8587 10.9534i 0.891804 0.427331i
\(658\) 11.9392 + 22.9334i 0.465437 + 0.894038i
\(659\) −35.4280 12.0262i −1.38008 0.468473i −0.469910 0.882714i \(-0.655714\pi\)
−0.910167 + 0.414241i \(0.864047\pi\)
\(660\) 35.1704 12.1475i 1.36901 0.472842i
\(661\) 12.5171 + 6.17274i 0.486858 + 0.240092i 0.669115 0.743159i \(-0.266674\pi\)
−0.182257 + 0.983251i \(0.558340\pi\)
\(662\) 12.5848 32.3645i 0.489124 1.25788i
\(663\) 28.1239 + 30.3697i 1.09224 + 1.17946i
\(664\) 19.0673 + 1.24818i 0.739954 + 0.0484390i
\(665\) 1.34162 + 0.555716i 0.0520257 + 0.0215498i
\(666\) −0.703054 + 1.07660i −0.0272428 + 0.0417174i
\(667\) −3.34567 + 16.8198i −0.129545 + 0.651267i
\(668\) −32.0903 + 35.0242i −1.24161 + 1.35513i
\(669\) −2.72029 9.15342i −0.105172 0.353892i
\(670\) 2.32860 13.2082i 0.0899616 0.510278i
\(671\) −41.1241 + 23.7430i −1.58758 + 0.916589i
\(672\) −10.9542 + 12.6276i −0.422566 + 0.487119i
\(673\) 40.5743 + 23.4256i 1.56403 + 0.902991i 0.996843 + 0.0793993i \(0.0253002\pi\)
0.567183 + 0.823592i \(0.308033\pi\)
\(674\) −19.7515 + 23.5402i −0.760799 + 0.906734i
\(675\) −0.292306 + 5.87978i −0.0112509 + 0.226313i
\(676\) 45.7949 29.1780i 1.76134 1.12223i
\(677\) 16.5166 + 14.4847i 0.634785 + 0.556691i 0.915105 0.403215i \(-0.132107\pi\)
−0.280321 + 0.959906i \(0.590441\pi\)
\(678\) −0.796622 6.93497i −0.0305941 0.266336i
\(679\) 1.78330 + 13.5455i 0.0684368 + 0.519829i
\(680\) 20.5742 + 4.09074i 0.788986 + 0.156873i
\(681\) 6.18564 19.9842i 0.237034 0.765796i
\(682\) 6.24473 + 40.5654i 0.239123 + 1.55333i
\(683\) 6.77733 4.52847i 0.259327 0.173277i −0.419110 0.907936i \(-0.637658\pi\)
0.678437 + 0.734659i \(0.262658\pi\)
\(684\) −2.11039 1.51336i −0.0806929 0.0578648i
\(685\) 7.45316 + 37.4695i 0.284770 + 1.43164i
\(686\) 1.16637 26.7309i 0.0445323 1.02059i
\(687\) −17.8355 8.20293i −0.680468 0.312961i
\(688\) 27.2057 + 2.97654i 1.03721 + 0.113480i
\(689\) 11.5443 43.0839i 0.439803 1.64137i
\(690\) −0.589948 12.0500i −0.0224589 0.458736i
\(691\) −3.78676 + 11.1554i −0.144055 + 0.424373i −0.994878 0.101079i \(-0.967770\pi\)
0.850823 + 0.525452i \(0.176104\pi\)
\(692\) 5.02461 + 12.9187i 0.191007 + 0.491096i
\(693\) −19.9914 + 19.5447i −0.759412 + 0.742443i
\(694\) −0.116250 + 1.06174i −0.00441281 + 0.0403031i
\(695\) 11.9020 + 1.56693i 0.451468 + 0.0594369i
\(696\) 1.28418 33.5191i 0.0486769 1.27054i
\(697\) −29.2791 + 3.85467i −1.10903 + 0.146006i
\(698\) −11.4214 + 0.249525i −0.432307 + 0.00944465i
\(699\) 37.9670 + 14.5352i 1.43604 + 0.549770i
\(700\) 1.63403 + 3.50369i 0.0617605 + 0.132427i
\(701\) −17.4559 11.6637i −0.659302 0.440532i 0.180389 0.983595i \(-0.442264\pi\)
−0.839691 + 0.543064i \(0.817264\pi\)
\(702\) −19.0090 + 42.5061i −0.717449 + 1.60429i
\(703\) −0.131176 −0.00494740
\(704\) −36.3295 + 24.2831i −1.36922 + 0.915204i
\(705\) 35.9760 + 6.14864i 1.35493 + 0.231571i
\(706\) 9.70996 6.79938i 0.365439 0.255898i
\(707\) −0.487875 + 7.44353i −0.0183484 + 0.279943i
\(708\) 40.1563 10.9888i 1.50917 0.412986i
\(709\) −4.01583 + 4.57918i −0.150818 + 0.171975i −0.822315 0.569032i \(-0.807318\pi\)
0.671498 + 0.741007i \(0.265651\pi\)
\(710\) 11.4945 20.9531i 0.431382 0.786356i
\(711\) −5.32216 16.2806i −0.199597 0.610572i
\(712\) −40.3669 5.31108i −1.51281 0.199041i
\(713\) 13.1937 + 1.73699i 0.494109 + 0.0650507i
\(714\) −15.2899 + 3.82718i −0.572210 + 0.143229i
\(715\) 30.1029 61.0427i 1.12579 2.28287i
\(716\) 1.37301 + 1.10183i 0.0513116 + 0.0411774i
\(717\) 3.34674 + 5.45042i 0.124986 + 0.203550i
\(718\) 28.3824 26.0091i 1.05922 0.970651i
\(719\) −25.3362 25.3362i −0.944879 0.944879i 0.0536788 0.998558i \(-0.482905\pi\)
−0.998558 + 0.0536788i \(0.982905\pi\)
\(720\) 4.84936 + 23.0941i 0.180725 + 0.860666i
\(721\) 10.0487 10.0487i 0.374234 0.374234i
\(722\) −1.15978 + 26.5798i −0.0431626 + 0.989199i
\(723\) 18.6492 + 10.1041i 0.693570 + 0.375774i
\(724\) −4.44199 + 15.2428i −0.165085 + 0.566495i
\(725\) −6.95747 3.43104i −0.258394 0.127426i
\(726\) −40.3330 + 22.4056i −1.49690 + 0.831551i
\(727\) 3.94589 29.9720i 0.146345 1.11160i −0.747833 0.663887i \(-0.768906\pi\)
0.894178 0.447712i \(-0.147761\pi\)
\(728\) 2.00235 + 30.5121i 0.0742119 + 1.13085i
\(729\) −4.36698 26.6445i −0.161740 0.986833i
\(730\) −6.57585 22.5584i −0.243383 0.834925i
\(731\) 19.4007 + 17.0140i 0.717562 + 0.629285i
\(732\) −11.6723 27.7612i −0.431419 1.02608i
\(733\) −7.97045 0.522411i −0.294395 0.0192957i −0.0825100 0.996590i \(-0.526294\pi\)
−0.211885 + 0.977295i \(0.567960\pi\)
\(734\) 29.3525 + 5.17481i 1.08342 + 0.191006i
\(735\) −10.7160 8.89622i −0.395267 0.328142i
\(736\) 4.26231 + 13.5120i 0.157111 + 0.498058i
\(737\) 26.3425i 0.970338i
\(738\) −16.9131 28.5938i −0.622581 1.05255i
\(739\) −26.0466 + 38.9815i −0.958140 + 1.43396i −0.0580196 + 0.998315i \(0.518479\pi\)
−0.900120 + 0.435642i \(0.856521\pi\)
\(740\) 0.878856 + 0.805236i 0.0323074 + 0.0296011i
\(741\) −4.69106 + 0.747298i −0.172330 + 0.0274527i
\(742\) 12.2695 + 11.7448i 0.450427 + 0.431166i
\(743\) −4.04921 30.7568i −0.148551 1.12836i −0.889546 0.456846i \(-0.848979\pi\)
0.740995 0.671511i \(-0.234354\pi\)
\(744\) −26.0197 + 0.706778i −0.953927 + 0.0259117i
\(745\) −3.84931 + 29.2384i −0.141028 + 1.07121i
\(746\) 11.7821 + 14.6794i 0.431373 + 0.537450i
\(747\) −5.46638 + 19.5161i −0.200004 + 0.714056i
\(748\) −41.1913 0.896574i −1.50610 0.0327820i
\(749\) −0.578794 0.196474i −0.0211487 0.00717900i
\(750\) 28.8748 + 6.24145i 1.05436 + 0.227905i
\(751\) 10.5862 + 2.83656i 0.386295 + 0.103507i 0.446739 0.894664i \(-0.352585\pi\)
−0.0604445 + 0.998172i \(0.519252\pi\)
\(752\) −42.6987 + 3.74030i −1.55706 + 0.136395i
\(753\) 3.49845 + 4.94079i 0.127491 + 0.180053i
\(754\) −41.4534 45.2360i −1.50964 1.64740i
\(755\) 34.6534 6.89299i 1.26117 0.250861i
\(756\) −10.7094 14.1311i −0.389498 0.513944i
\(757\) −2.74050 4.10145i −0.0996052 0.149070i 0.778320 0.627868i \(-0.216072\pi\)
−0.877925 + 0.478799i \(0.841072\pi\)
\(758\) 7.49252 10.2191i 0.272141 0.371174i
\(759\) 5.25033 + 23.1069i 0.190575 + 0.838729i
\(760\) −1.70213 + 1.70240i −0.0617427 + 0.0617527i
\(761\) 32.7358 4.30975i 1.18667 0.156228i 0.488764 0.872416i \(-0.337448\pi\)
0.697907 + 0.716188i \(0.254115\pi\)
\(762\) −8.67160 + 3.42508i −0.314139 + 0.124078i
\(763\) −8.67193 + 9.88844i −0.313945 + 0.357986i
\(764\) 32.8287 5.79041i 1.18770 0.209490i
\(765\) −8.74620 + 20.4583i −0.316220 + 0.739671i
\(766\) 26.5480 2.32337i 0.959218 0.0839468i
\(767\) 38.0766 65.9505i 1.37486 2.38134i
\(768\) −12.3930 24.7874i −0.447192 0.894438i
\(769\) −17.9117 31.0240i −0.645912 1.11875i −0.984090 0.177670i \(-0.943144\pi\)
0.338178 0.941082i \(-0.390189\pi\)
\(770\) 14.8661 + 21.2298i 0.535739 + 0.765070i
\(771\) 7.18864 30.0614i 0.258893 1.08264i
\(772\) 9.25409 25.4297i 0.333062