Properties

Label 576.2.bl.a.11.12
Level $576$
Weight $2$
Character 576.11
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.bl (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 11.12
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30367 - 0.548138i) q^{2} +(1.29483 - 1.15039i) q^{3} +(1.39909 + 1.42918i) q^{4} +(-1.03041 - 0.508143i) q^{5} +(-2.31860 + 0.789982i) q^{6} +(1.75332 + 2.28498i) q^{7} +(-1.04056 - 2.63006i) q^{8} +(0.353186 - 2.97914i) q^{9} +O(q^{10})\) \(q+(-1.30367 - 0.548138i) q^{2} +(1.29483 - 1.15039i) q^{3} +(1.39909 + 1.42918i) q^{4} +(-1.03041 - 0.508143i) q^{5} +(-2.31860 + 0.789982i) q^{6} +(1.75332 + 2.28498i) q^{7} +(-1.04056 - 2.63006i) q^{8} +(0.353186 - 2.97914i) q^{9} +(1.06478 + 1.22726i) q^{10} +(-3.86405 - 3.38868i) q^{11} +(3.45571 + 0.241042i) q^{12} +(-5.56641 - 0.364842i) q^{13} +(-1.03327 - 3.93991i) q^{14} +(-1.91878 + 0.527420i) q^{15} +(-0.0850976 + 3.99909i) q^{16} +(0.422740 + 0.422740i) q^{17} +(-2.09342 + 3.69020i) q^{18} +(4.18242 - 6.25943i) q^{19} +(-0.715412 - 2.18358i) q^{20} +(4.89889 + 0.941650i) q^{21} +(3.17996 + 6.53573i) q^{22} +(2.49143 - 3.24690i) q^{23} +(-4.37296 - 2.20844i) q^{24} +(-2.24027 - 2.91957i) q^{25} +(7.05676 + 3.52679i) q^{26} +(-2.96987 - 4.26379i) q^{27} +(-0.812580 + 5.70270i) q^{28} +(1.73601 - 5.11412i) q^{29} +(2.79054 + 0.364175i) q^{30} +(0.836001 + 1.44800i) q^{31} +(2.30299 - 5.16684i) q^{32} +(-8.90161 + 0.0574041i) q^{33} +(-0.319392 - 0.782831i) q^{34} +(-0.645551 - 3.24541i) q^{35} +(4.75186 - 3.66331i) q^{36} +(6.04294 - 4.03776i) q^{37} +(-8.88351 + 5.86767i) q^{38} +(-7.62729 + 5.93116i) q^{39} +(-0.264245 + 3.23880i) q^{40} +(4.08599 + 3.13529i) q^{41} +(-5.87036 - 3.91286i) q^{42} +(-3.22453 - 2.82784i) q^{43} +(-0.563124 - 10.2635i) q^{44} +(-1.87776 + 2.89027i) q^{45} +(-5.02774 + 2.86722i) q^{46} +(2.07557 + 7.74614i) q^{47} +(4.49035 + 5.27606i) q^{48} +(-0.335239 + 1.25113i) q^{49} +(1.32023 + 5.03412i) q^{50} +(1.03369 + 0.0610601i) q^{51} +(-7.26648 - 8.46584i) q^{52} +(-2.33893 - 0.465242i) q^{53} +(1.53457 + 7.18645i) q^{54} +(2.25963 + 5.45522i) q^{55} +(4.18520 - 6.98901i) q^{56} +(-1.78528 - 12.9164i) q^{57} +(-5.06642 + 5.71553i) q^{58} +(-3.59555 + 7.29105i) q^{59} +(-3.43832 - 2.00437i) q^{60} +(-3.03612 + 8.94413i) q^{61} +(-0.296164 - 2.34595i) q^{62} +(7.42651 - 4.41637i) q^{63} +(-5.83448 + 5.47347i) q^{64} +(5.55031 + 3.20447i) q^{65} +(11.6362 + 4.80447i) q^{66} +(-7.78019 + 6.82304i) q^{67} +(-0.0127195 + 1.19562i) q^{68} +(-0.509223 - 7.07032i) q^{69} +(-0.937347 + 4.58478i) q^{70} +(-5.65020 - 2.34039i) q^{71} +(-8.20283 + 2.17106i) q^{72} +(12.6614 - 5.24454i) q^{73} +(-10.0912 + 1.95153i) q^{74} +(-6.25943 - 1.20317i) q^{75} +(14.7974 - 2.78009i) q^{76} +(0.968123 - 14.7707i) q^{77} +(13.1945 - 3.55144i) q^{78} +(-2.18810 - 8.16611i) q^{79} +(2.11980 - 4.07747i) q^{80} +(-8.75052 - 2.10438i) q^{81} +(-3.60819 - 6.32706i) q^{82} +(-4.43087 + 2.18507i) q^{83} +(5.50820 + 8.31883i) q^{84} +(-0.220784 - 0.650408i) q^{85} +(2.65367 + 5.45405i) q^{86} +(-3.63541 - 8.61903i) q^{87} +(-4.89167 + 13.6888i) q^{88} +(-10.2912 - 4.26277i) q^{89} +(4.03223 - 2.73868i) q^{90} +(-8.92607 - 13.3588i) q^{91} +(8.12613 - 0.982001i) q^{92} +(2.74825 + 0.913183i) q^{93} +(1.54010 - 11.2361i) q^{94} +(-7.49030 + 4.32453i) q^{95} +(-2.96191 - 9.33955i) q^{96} +(15.8206 + 9.13404i) q^{97} +(1.12283 - 1.44730i) q^{98} +(-11.4601 + 10.3147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30367 0.548138i −0.921831 0.387592i
\(3\) 1.29483 1.15039i 0.747572 0.664180i
\(4\) 1.39909 + 1.42918i 0.699545 + 0.714589i
\(5\) −1.03041 0.508143i −0.460814 0.227248i 0.197037 0.980396i \(-0.436868\pi\)
−0.657852 + 0.753148i \(0.728535\pi\)
\(6\) −2.31860 + 0.789982i −0.946566 + 0.322509i
\(7\) 1.75332 + 2.28498i 0.662694 + 0.863640i 0.996885 0.0788654i \(-0.0251297\pi\)
−0.334191 + 0.942505i \(0.608463\pi\)
\(8\) −1.04056 2.63006i −0.367893 0.929868i
\(9\) 0.353186 2.97914i 0.117729 0.993046i
\(10\) 1.06478 + 1.22726i 0.336713 + 0.388093i
\(11\) −3.86405 3.38868i −1.16505 1.02172i −0.999368 0.0355459i \(-0.988683\pi\)
−0.165686 0.986179i \(-0.552984\pi\)
\(12\) 3.45571 + 0.241042i 0.997576 + 0.0695829i
\(13\) −5.56641 0.364842i −1.54385 0.101189i −0.730477 0.682938i \(-0.760702\pi\)
−0.813368 + 0.581749i \(0.802369\pi\)
\(14\) −1.03327 3.93991i −0.276152 1.05299i
\(15\) −1.91878 + 0.527420i −0.495426 + 0.136179i
\(16\) −0.0850976 + 3.99909i −0.0212744 + 0.999774i
\(17\) 0.422740 + 0.422740i 0.102529 + 0.102529i 0.756511 0.653981i \(-0.226902\pi\)
−0.653981 + 0.756511i \(0.726902\pi\)
\(18\) −2.09342 + 3.69020i −0.493423 + 0.869790i
\(19\) 4.18242 6.25943i 0.959513 1.43601i 0.0604607 0.998171i \(-0.480743\pi\)
0.899052 0.437842i \(-0.144257\pi\)
\(20\) −0.715412 2.18358i −0.159971 0.488263i
\(21\) 4.89889 + 0.941650i 1.06902 + 0.205485i
\(22\) 3.17996 + 6.53573i 0.677970 + 1.39342i
\(23\) 2.49143 3.24690i 0.519500 0.677025i −0.457759 0.889076i \(-0.651348\pi\)
0.977259 + 0.212051i \(0.0680144\pi\)
\(24\) −4.37296 2.20844i −0.892627 0.450796i
\(25\) −2.24027 2.91957i −0.448053 0.583915i
\(26\) 7.05676 + 3.52679i 1.38394 + 0.691661i
\(27\) −2.96987 4.26379i −0.571551 0.820567i
\(28\) −0.812580 + 5.70270i −0.153563 + 1.07771i
\(29\) 1.73601 5.11412i 0.322369 0.949669i −0.658089 0.752940i \(-0.728635\pi\)
0.980458 0.196728i \(-0.0630317\pi\)
\(30\) 2.79054 + 0.364175i 0.509481 + 0.0664890i
\(31\) 0.836001 + 1.44800i 0.150150 + 0.260068i 0.931283 0.364298i \(-0.118691\pi\)
−0.781132 + 0.624365i \(0.785358\pi\)
\(32\) 2.30299 5.16684i 0.407116 0.913377i
\(33\) −8.90161 + 0.0574041i −1.54957 + 0.00999277i
\(34\) −0.319392 0.782831i −0.0547752 0.134254i
\(35\) −0.645551 3.24541i −0.109118 0.548574i
\(36\) 4.75186 3.66331i 0.791976 0.610552i
\(37\) 6.04294 4.03776i 0.993452 0.663804i 0.0511935 0.998689i \(-0.483697\pi\)
0.942259 + 0.334885i \(0.108697\pi\)
\(38\) −8.88351 + 5.86767i −1.44110 + 0.951861i
\(39\) −7.62729 + 5.93116i −1.22134 + 0.949746i
\(40\) −0.264245 + 3.23880i −0.0417808 + 0.512100i
\(41\) 4.08599 + 3.13529i 0.638124 + 0.489650i 0.876423 0.481542i \(-0.159923\pi\)
−0.238299 + 0.971192i \(0.576590\pi\)
\(42\) −5.87036 3.91286i −0.905816 0.603768i
\(43\) −3.22453 2.82784i −0.491737 0.431241i 0.377225 0.926122i \(-0.376879\pi\)
−0.868961 + 0.494880i \(0.835212\pi\)
\(44\) −0.563124 10.2635i −0.0848941 1.54728i
\(45\) −1.87776 + 2.89027i −0.279919 + 0.430856i
\(46\) −5.02774 + 2.86722i −0.741300 + 0.422749i
\(47\) 2.07557 + 7.74614i 0.302753 + 1.12989i 0.934862 + 0.355011i \(0.115523\pi\)
−0.632109 + 0.774880i \(0.717810\pi\)
\(48\) 4.49035 + 5.27606i 0.648126 + 0.761533i
\(49\) −0.335239 + 1.25113i −0.0478912 + 0.178733i
\(50\) 1.32023 + 5.03412i 0.186709 + 0.711933i
\(51\) 1.03369 + 0.0610601i 0.144746 + 0.00855013i
\(52\) −7.26648 8.46584i −1.00768 1.17400i
\(53\) −2.33893 0.465242i −0.321277 0.0639059i 0.0318175 0.999494i \(-0.489870\pi\)
−0.353094 + 0.935588i \(0.614870\pi\)
\(54\) 1.53457 + 7.18645i 0.208828 + 0.977952i
\(55\) 2.25963 + 5.45522i 0.304688 + 0.735582i
\(56\) 4.18520 6.98901i 0.559271 0.933945i
\(57\) −1.78528 12.9164i −0.236466 1.71081i
\(58\) −5.06642 + 5.71553i −0.665254 + 0.750486i
\(59\) −3.59555 + 7.29105i −0.468100 + 0.949214i 0.526955 + 0.849893i \(0.323334\pi\)
−0.995055 + 0.0993205i \(0.968333\pi\)
\(60\) −3.43832 2.00437i −0.443885 0.258762i
\(61\) −3.03612 + 8.94413i −0.388736 + 1.14518i 0.559832 + 0.828606i \(0.310866\pi\)
−0.948568 + 0.316573i \(0.897468\pi\)
\(62\) −0.296164 2.34595i −0.0376129 0.297936i
\(63\) 7.42651 4.41637i 0.935652 0.556410i
\(64\) −5.83448 + 5.47347i −0.729309 + 0.684184i
\(65\) 5.55031 + 3.20447i 0.688431 + 0.397466i
\(66\) 11.6362 + 4.80447i 1.43232 + 0.591390i
\(67\) −7.78019 + 6.82304i −0.950501 + 0.833567i −0.986160 0.165797i \(-0.946980\pi\)
0.0356586 + 0.999364i \(0.488647\pi\)
\(68\) −0.0127195 + 1.19562i −0.00154247 + 0.144990i
\(69\) −0.509223 7.07032i −0.0613033 0.851167i
\(70\) −0.937347 + 4.58478i −0.112034 + 0.547986i
\(71\) −5.65020 2.34039i −0.670555 0.277753i 0.0213175 0.999773i \(-0.493214\pi\)
−0.691872 + 0.722020i \(0.743214\pi\)
\(72\) −8.20283 + 2.17106i −0.966713 + 0.255862i
\(73\) 12.6614 5.24454i 1.48191 0.613827i 0.512371 0.858764i \(-0.328767\pi\)
0.969539 + 0.244937i \(0.0787672\pi\)
\(74\) −10.0912 + 1.95153i −1.17308 + 0.226860i
\(75\) −6.25943 1.20317i −0.722777 0.138930i
\(76\) 14.7974 2.78009i 1.69738 0.318898i
\(77\) 0.968123 14.7707i 0.110328 1.68328i
\(78\) 13.1945 3.55144i 1.49399 0.402122i
\(79\) −2.18810 8.16611i −0.246181 0.918759i −0.972786 0.231704i \(-0.925570\pi\)
0.726606 0.687055i \(-0.241097\pi\)
\(80\) 2.11980 4.07747i 0.237001 0.455875i
\(81\) −8.75052 2.10438i −0.972280 0.233820i
\(82\) −3.60819 6.32706i −0.398458 0.698706i
\(83\) −4.43087 + 2.18507i −0.486352 + 0.239842i −0.668897 0.743355i \(-0.733233\pi\)
0.182545 + 0.983198i \(0.441566\pi\)
\(84\) 5.50820 + 8.31883i 0.600993 + 0.907659i
\(85\) −0.220784 0.650408i −0.0239474 0.0705467i
\(86\) 2.65367 + 5.45405i 0.286152 + 0.588125i
\(87\) −3.63541 8.61903i −0.389757 0.924057i
\(88\) −4.89167 + 13.6888i −0.521454 + 1.45923i
\(89\) −10.2912 4.26277i −1.09087 0.451853i −0.236560 0.971617i \(-0.576020\pi\)
−0.854310 + 0.519764i \(0.826020\pi\)
\(90\) 4.03223 2.73868i 0.425035 0.288682i
\(91\) −8.92607 13.3588i −0.935706 1.40038i
\(92\) 8.12613 0.982001i 0.847208 0.102381i
\(93\) 2.74825 + 0.913183i 0.284980 + 0.0946926i
\(94\) 1.54010 11.2361i 0.158849 1.15891i
\(95\) −7.49030 + 4.32453i −0.768489 + 0.443687i
\(96\) −2.96191 9.33955i −0.302298 0.953213i
\(97\) 15.8206 + 9.13404i 1.60634 + 0.927422i 0.990179 + 0.139802i \(0.0446467\pi\)
0.616162 + 0.787619i \(0.288687\pi\)
\(98\) 1.12283 1.44730i 0.113423 0.146199i
\(99\) −11.4601 + 10.3147i −1.15178 + 1.03667i
\(100\) 1.03825 7.28648i 0.103825 0.728648i
\(101\) 8.52855 0.558990i 0.848622 0.0556216i 0.365115 0.930962i \(-0.381030\pi\)
0.483507 + 0.875341i \(0.339363\pi\)
\(102\) −1.31412 0.646210i −0.130118 0.0639843i
\(103\) 0.493237 + 3.74651i 0.0486001 + 0.369155i 0.998412 + 0.0563330i \(0.0179409\pi\)
−0.949812 + 0.312822i \(0.898726\pi\)
\(104\) 4.83262 + 15.0197i 0.473877 + 1.47280i
\(105\) −4.56938 3.45962i −0.445926 0.337624i
\(106\) 2.79417 + 1.88858i 0.271393 + 0.183435i
\(107\) 10.2072 + 2.03033i 0.986763 + 0.196279i 0.661990 0.749513i \(-0.269712\pi\)
0.324773 + 0.945792i \(0.394712\pi\)
\(108\) 1.93861 10.2099i 0.186542 0.982447i
\(109\) 12.5877 + 8.41081i 1.20568 + 0.805609i 0.985471 0.169844i \(-0.0543263\pi\)
0.220208 + 0.975453i \(0.429326\pi\)
\(110\) 0.0444161 8.35037i 0.00423491 0.796177i
\(111\) 3.17958 12.1800i 0.301792 1.15607i
\(112\) −9.28704 + 6.81726i −0.877543 + 0.644171i
\(113\) −6.99057 1.87312i −0.657618 0.176208i −0.0854472 0.996343i \(-0.527232\pi\)
−0.572171 + 0.820135i \(0.693899\pi\)
\(114\) −4.75254 + 17.8172i −0.445116 + 1.66873i
\(115\) −4.21709 + 2.07964i −0.393246 + 0.193927i
\(116\) 9.73782 4.67405i 0.904134 0.433974i
\(117\) −3.05289 + 16.4543i −0.282240 + 1.52120i
\(118\) 8.68389 7.53423i 0.799417 0.693583i
\(119\) −0.224751 + 1.70715i −0.0206029 + 0.156494i
\(120\) 3.38375 + 4.49769i 0.308892 + 0.410581i
\(121\) 2.01193 + 15.2821i 0.182903 + 1.38928i
\(122\) 8.86071 9.99595i 0.802211 0.904990i
\(123\) 8.89749 0.640821i 0.802260 0.0577809i
\(124\) −0.899804 + 3.22067i −0.0808047 + 0.289225i
\(125\) 1.94553 + 9.78083i 0.174013 + 0.874824i
\(126\) −12.1025 + 1.68672i −1.07817 + 0.150265i
\(127\) 11.4658i 1.01743i 0.860936 + 0.508714i \(0.169879\pi\)
−0.860936 + 0.508714i \(0.830121\pi\)
\(128\) 10.6064 3.93748i 0.937484 0.348027i
\(129\) −7.42836 + 0.0479035i −0.654031 + 0.00421767i
\(130\) −5.47925 7.21989i −0.480562 0.633227i
\(131\) −5.28220 6.02320i −0.461508 0.526249i 0.473539 0.880773i \(-0.342976\pi\)
−0.935047 + 0.354524i \(0.884643\pi\)
\(132\) −12.5362 12.6417i −1.09114 1.10032i
\(133\) 21.6358 1.41808i 1.87606 0.122964i
\(134\) 13.8827 4.63035i 1.19929 0.400001i
\(135\) 0.893570 + 5.90258i 0.0769063 + 0.508013i
\(136\) 0.671947 1.55172i 0.0576190 0.133059i
\(137\) 12.1434 + 1.59871i 1.03748 + 0.136587i 0.629975 0.776616i \(-0.283065\pi\)
0.407506 + 0.913203i \(0.366399\pi\)
\(138\) −3.21165 + 9.49646i −0.273394 + 0.808392i
\(139\) −1.61567 4.75960i −0.137039 0.403704i 0.856647 0.515904i \(-0.172544\pi\)
−0.993686 + 0.112200i \(0.964210\pi\)
\(140\) 3.73508 5.46322i 0.315672 0.461727i
\(141\) 11.5986 + 7.64224i 0.976782 + 0.643592i
\(142\) 6.08311 + 6.14817i 0.510483 + 0.515943i
\(143\) 20.2725 + 20.2725i 1.69527 + 1.69527i
\(144\) 11.8838 + 1.66594i 0.990316 + 0.138829i
\(145\) −4.38751 + 4.38751i −0.364363 + 0.364363i
\(146\) −19.3810 0.103089i −1.60399 0.00853168i
\(147\) 1.00521 + 2.00566i 0.0829085 + 0.165424i
\(148\) 14.2253 + 2.98724i 1.16931 + 0.245550i
\(149\) 0.680952 0.231152i 0.0557858 0.0189367i −0.293407 0.955988i \(-0.594789\pi\)
0.349193 + 0.937051i \(0.386456\pi\)
\(150\) 7.50071 + 4.99956i 0.612430 + 0.408213i
\(151\) 1.11381 8.46026i 0.0906409 0.688486i −0.884443 0.466649i \(-0.845461\pi\)
0.975084 0.221837i \(-0.0712054\pi\)
\(152\) −20.8148 4.48673i −1.68830 0.363921i
\(153\) 1.40871 1.11009i 0.113887 0.0897458i
\(154\) −9.35849 + 18.7254i −0.754129 + 1.50894i
\(155\) −0.125636 1.91684i −0.0100914 0.153964i
\(156\) −19.1479 2.60253i −1.53306 0.208369i
\(157\) 1.24579 1.09253i 0.0994246 0.0871930i −0.608191 0.793791i \(-0.708104\pi\)
0.707615 + 0.706598i \(0.249771\pi\)
\(158\) −1.62360 + 11.8453i −0.129167 + 0.942358i
\(159\) −3.56374 + 2.08828i −0.282623 + 0.165611i
\(160\) −4.99853 + 4.15372i −0.395168 + 0.328381i
\(161\) 11.7874 0.928975
\(162\) 10.2543 + 7.53990i 0.805651 + 0.592391i
\(163\) −9.89718 + 1.96867i −0.775207 + 0.154198i −0.566813 0.823847i \(-0.691824\pi\)
−0.208394 + 0.978045i \(0.566824\pi\)
\(164\) 1.23578 + 10.2262i 0.0964980 + 0.798528i
\(165\) 9.20149 + 4.46414i 0.716335 + 0.347533i
\(166\) 6.97410 0.419865i 0.541295 0.0325878i
\(167\) 11.6189 1.52966i 0.899101 0.118369i 0.333214 0.942851i \(-0.391867\pi\)
0.565887 + 0.824483i \(0.308534\pi\)
\(168\) −2.62098 13.8642i −0.202213 1.06965i
\(169\) 17.9631 + 2.36488i 1.38177 + 0.181914i
\(170\) −0.0686851 + 0.968935i −0.00526791 + 0.0743139i
\(171\) −17.1705 14.6707i −1.31306 1.12190i
\(172\) −0.469925 8.56483i −0.0358314 0.653062i
\(173\) 6.56523 + 13.3130i 0.499145 + 1.01217i 0.990019 + 0.140935i \(0.0450110\pi\)
−0.490874 + 0.871231i \(0.663322\pi\)
\(174\) 0.0149441 + 13.2290i 0.00113291 + 1.00289i
\(175\) 2.74324 10.2379i 0.207370 0.773914i
\(176\) 13.8805 15.1643i 1.04628 1.14305i
\(177\) 3.73195 + 13.5770i 0.280510 + 1.02051i
\(178\) 11.0798 + 11.1983i 0.830463 + 0.839345i
\(179\) −1.09628 + 1.64071i −0.0819402 + 0.122632i −0.870176 0.492741i \(-0.835995\pi\)
0.788236 + 0.615374i \(0.210995\pi\)
\(180\) −6.75786 + 1.36010i −0.503701 + 0.101376i
\(181\) 2.98273 14.9952i 0.221705 1.11458i −0.696220 0.717829i \(-0.745136\pi\)
0.917924 0.396755i \(-0.129864\pi\)
\(182\) 4.31414 + 22.3081i 0.319785 + 1.65359i
\(183\) 6.35800 + 15.0739i 0.469997 + 1.11429i
\(184\) −11.1320 3.17404i −0.820664 0.233993i
\(185\) −8.27847 + 1.08988i −0.608645 + 0.0801297i
\(186\) −3.08225 2.69690i −0.226001 0.197747i
\(187\) −0.200957 3.06601i −0.0146954 0.224209i
\(188\) −8.16670 + 13.8039i −0.595618 + 1.00675i
\(189\) 4.53552 14.2619i 0.329911 1.03740i
\(190\) 12.1353 1.53202i 0.880386 0.111144i
\(191\) −6.15847 + 10.6668i −0.445611 + 0.771821i −0.998095 0.0617028i \(-0.980347\pi\)
0.552483 + 0.833524i \(0.313680\pi\)
\(192\) −1.25802 + 13.7992i −0.0907900 + 0.995870i
\(193\) −11.9976 20.7804i −0.863603 1.49580i −0.868427 0.495817i \(-0.834869\pi\)
0.00482384 0.999988i \(-0.498465\pi\)
\(194\) −15.6181 20.5796i −1.12131 1.47753i
\(195\) 10.8731 2.23579i 0.778641 0.160108i
\(196\) −2.25711 + 1.27132i −0.161222 + 0.0908088i
\(197\) 2.41298 1.61230i 0.171918 0.114872i −0.466634 0.884450i \(-0.654534\pi\)
0.638552 + 0.769578i \(0.279534\pi\)
\(198\) 20.5940 7.16521i 1.46355 0.509209i
\(199\) 5.46670 13.1978i 0.387524 0.935566i −0.602939 0.797787i \(-0.706004\pi\)
0.990463 0.137779i \(-0.0439963\pi\)
\(200\) −5.34754 + 8.93003i −0.378128 + 0.631449i
\(201\) −2.22486 + 17.7850i −0.156929 + 1.25446i
\(202\) −11.4248 3.94608i −0.803845 0.277645i
\(203\) 14.7294 4.99997i 1.03380 0.350929i
\(204\) 1.35897 + 1.56276i 0.0951466 + 0.109415i
\(205\) −2.61708 5.30691i −0.182785 0.370650i
\(206\) 1.41059 5.15456i 0.0982803 0.359135i
\(207\) −8.79302 8.56908i −0.611157 0.595592i
\(208\) 1.93273 22.2296i 0.134010 1.54134i
\(209\) −37.3723 + 10.0139i −2.58509 + 0.692674i
\(210\) 4.06059 + 7.01484i 0.280208 + 0.484070i
\(211\) −2.00227 0.131236i −0.137842 0.00903466i −0.00367419 0.999993i \(-0.501170\pi\)
−0.134168 + 0.990959i \(0.542836\pi\)
\(212\) −2.60746 3.99366i −0.179081 0.274286i
\(213\) −10.0084 + 3.46954i −0.685766 + 0.237729i
\(214\) −12.1938 8.24180i −0.833552 0.563398i
\(215\) 1.88565 + 4.55236i 0.128600 + 0.310469i
\(216\) −8.12372 + 12.2477i −0.552749 + 0.833348i
\(217\) −1.84286 + 4.44905i −0.125101 + 0.302021i
\(218\) −11.7998 17.8647i −0.799185 1.20995i
\(219\) 10.3612 21.3565i 0.700143 1.44314i
\(220\) −4.63506 + 10.8618i −0.312496 + 0.732299i
\(221\) −2.19891 2.50738i −0.147915 0.168664i
\(222\) −10.8214 + 14.1358i −0.726286 + 0.948732i
\(223\) −2.52907 + 4.38048i −0.169359 + 0.293338i −0.938195 0.346108i \(-0.887503\pi\)
0.768836 + 0.639446i \(0.220836\pi\)
\(224\) 15.8440 3.79685i 1.05862 0.253688i
\(225\) −9.48904 + 5.64291i −0.632603 + 0.376194i
\(226\) 8.08665 + 6.27372i 0.537916 + 0.417322i
\(227\) 18.8668 + 6.40440i 1.25223 + 0.425075i 0.867261 0.497854i \(-0.165878\pi\)
0.384970 + 0.922929i \(0.374212\pi\)
\(228\) 15.9620 20.6226i 1.05711 1.36577i
\(229\) 11.0261 + 5.43749i 0.728628 + 0.359319i 0.768469 0.639887i \(-0.221019\pi\)
−0.0398416 + 0.999206i \(0.512685\pi\)
\(230\) 6.63761 0.399607i 0.437671 0.0263493i
\(231\) −15.7386 20.2393i −1.03552 1.33165i
\(232\) −15.2569 + 0.755724i −1.00166 + 0.0496157i
\(233\) 12.4937 5.17506i 0.818489 0.339029i 0.0661538 0.997809i \(-0.478927\pi\)
0.752336 + 0.658780i \(0.228927\pi\)
\(234\) 12.9992 19.7774i 0.849781 1.29289i
\(235\) 1.79745 9.03641i 0.117253 0.589470i
\(236\) −15.4507 + 5.06215i −1.00575 + 0.329518i
\(237\) −12.2275 8.05657i −0.794259 0.523330i
\(238\) 1.22875 2.10236i 0.0796483 0.136276i
\(239\) −9.51714 2.55011i −0.615613 0.164953i −0.0624801 0.998046i \(-0.519901\pi\)
−0.553132 + 0.833093i \(0.686568\pi\)
\(240\) −1.94592 7.71825i −0.125608 0.498211i
\(241\) 13.9374 3.73451i 0.897786 0.240561i 0.219721 0.975563i \(-0.429485\pi\)
0.678065 + 0.735002i \(0.262819\pi\)
\(242\) 5.75382 21.0256i 0.369870 1.35158i
\(243\) −13.7513 + 7.34172i −0.882148 + 0.470972i
\(244\) −17.0306 + 8.17448i −1.09027 + 0.523318i
\(245\) 0.981186 1.11883i 0.0626856 0.0714793i
\(246\) −11.9506 4.04164i −0.761943 0.257685i
\(247\) −25.5648 + 33.3167i −1.62665 + 2.11989i
\(248\) 2.93841 3.70546i 0.186590 0.235297i
\(249\) −3.22356 + 7.92655i −0.204285 + 0.502325i
\(250\) 2.82493 13.8174i 0.178664 0.873886i
\(251\) −6.26404 9.37480i −0.395383 0.591732i 0.579357 0.815074i \(-0.303304\pi\)
−0.974740 + 0.223341i \(0.928304\pi\)
\(252\) 16.7021 + 4.43490i 1.05214 + 0.279373i
\(253\) −20.6297 + 4.10350i −1.29698 + 0.257985i
\(254\) 6.28485 14.9476i 0.394347 0.937896i
\(255\) −1.03410 0.588182i −0.0647581 0.0368334i
\(256\) −15.9855 0.680627i −0.999095 0.0425392i
\(257\) −13.1793 + 7.60907i −0.822101 + 0.474640i −0.851141 0.524938i \(-0.824089\pi\)
0.0290392 + 0.999578i \(0.490755\pi\)
\(258\) 9.71036 + 4.00932i 0.604540 + 0.249609i
\(259\) 19.8214 + 6.72846i 1.23164 + 0.418086i
\(260\) 3.18562 + 12.4157i 0.197564 + 0.769990i
\(261\) −14.6225 6.97805i −0.905112 0.431931i
\(262\) 3.58468 + 10.7476i 0.221462 + 0.663990i
\(263\) −25.0225 + 19.2004i −1.54295 + 1.18395i −0.629498 + 0.777002i \(0.716739\pi\)
−0.913452 + 0.406945i \(0.866594\pi\)
\(264\) 9.41362 + 23.3521i 0.579368 + 1.43722i
\(265\) 2.17365 + 1.66790i 0.133526 + 0.102458i
\(266\) −28.9831 10.0107i −1.77707 0.613795i
\(267\) −18.2293 + 6.31941i −1.11562 + 0.386742i
\(268\) −20.6365 1.57323i −1.26058 0.0961001i
\(269\) −0.939423 0.627703i −0.0572777 0.0382717i 0.526602 0.850112i \(-0.323466\pi\)
−0.583879 + 0.811840i \(0.698466\pi\)
\(270\) 2.07051 8.18479i 0.126007 0.498110i
\(271\) 1.11050 1.11050i 0.0674578 0.0674578i −0.672573 0.740031i \(-0.734811\pi\)
0.740031 + 0.672573i \(0.234811\pi\)
\(272\) −1.72655 + 1.65460i −0.104688 + 0.100325i
\(273\) −26.9257 7.02893i −1.62962 0.425410i
\(274\) −14.9546 8.74044i −0.903441 0.528029i
\(275\) −1.23700 + 18.8729i −0.0745936 + 1.13808i
\(276\) 9.39230 10.6198i 0.565350 0.639236i
\(277\) 10.1241 11.5444i 0.608301 0.693634i −0.362919 0.931821i \(-0.618220\pi\)
0.971219 + 0.238187i \(0.0765530\pi\)
\(278\) −0.502629 + 7.09054i −0.0301457 + 0.425262i
\(279\) 4.60904 1.97915i 0.275936 0.118489i
\(280\) −7.86389 + 5.07488i −0.469958 + 0.303282i
\(281\) 12.3475 9.47459i 0.736592 0.565207i −0.170894 0.985289i \(-0.554666\pi\)
0.907486 + 0.420083i \(0.137999\pi\)
\(282\) −10.9317 16.3206i −0.650976 0.971876i
\(283\) 14.3254 29.0489i 0.851554 1.72678i 0.183005 0.983112i \(-0.441418\pi\)
0.668549 0.743668i \(-0.266916\pi\)
\(284\) −4.56030 11.3495i −0.270604 0.673472i
\(285\) −4.72378 + 14.2163i −0.279813 + 0.842103i
\(286\) −15.3165 37.5408i −0.905682 2.21983i
\(287\) 14.8336i 0.875598i
\(288\) −14.5793 8.68579i −0.859096 0.511815i
\(289\) 16.6426i 0.978975i
\(290\) 8.12481 3.31489i 0.477105 0.194657i
\(291\) 30.9928 6.37290i 1.81683 0.373586i
\(292\) 25.2099 + 10.7579i 1.47530 + 0.629557i
\(293\) 10.0972 20.4751i 0.589884 1.19617i −0.373397 0.927672i \(-0.621807\pi\)
0.963281 0.268495i \(-0.0865264\pi\)
\(294\) −0.211083 3.16570i −0.0123106 0.184628i
\(295\) 7.40979 5.68573i 0.431415 0.331036i
\(296\) −16.9076 11.6918i −0.982734 0.679571i
\(297\) −2.97291 + 26.5394i −0.172506 + 1.53997i
\(298\) −1.01444 0.0719107i −0.0587648 0.00416567i
\(299\) −15.0529 + 17.1646i −0.870534 + 0.992654i
\(300\) −7.03796 10.6292i −0.406337 0.613676i
\(301\) 0.807895 12.3261i 0.0465663 0.710464i
\(302\) −6.08943 + 10.4188i −0.350407 + 0.599536i
\(303\) 10.4000 10.5350i 0.597463 0.605219i
\(304\) 24.6761 + 17.2586i 1.41527 + 0.989846i
\(305\) 7.67336 7.67336i 0.439375 0.439375i
\(306\) −2.44497 + 0.675027i −0.139769 + 0.0385887i
\(307\) 9.55557 + 6.38483i 0.545365 + 0.364401i 0.797526 0.603284i \(-0.206141\pi\)
−0.252162 + 0.967685i \(0.581141\pi\)
\(308\) 22.4644 19.2819i 1.28003 1.09869i
\(309\) 4.94862 + 4.28369i 0.281517 + 0.243691i
\(310\) −0.886905 + 2.56779i −0.0503728 + 0.145840i
\(311\) −6.31617 4.84656i −0.358157 0.274823i 0.413972 0.910290i \(-0.364141\pi\)
−0.772129 + 0.635466i \(0.780808\pi\)
\(312\) 23.5360 + 13.8885i 1.33246 + 0.786284i
\(313\) 2.04276 1.56747i 0.115464 0.0885984i −0.549416 0.835549i \(-0.685150\pi\)
0.664879 + 0.746951i \(0.268483\pi\)
\(314\) −2.22294 + 0.741425i −0.125448 + 0.0418410i
\(315\) −9.89651 + 0.776954i −0.557605 + 0.0437764i
\(316\) 8.60947 14.5523i 0.484320 0.818631i
\(317\) 24.6042 + 8.35199i 1.38191 + 0.469094i 0.910751 0.412955i \(-0.135503\pi\)
0.471156 + 0.882050i \(0.343837\pi\)
\(318\) 5.79059 0.769001i 0.324720 0.0431234i
\(319\) −24.0381 + 13.8784i −1.34588 + 0.777042i
\(320\) 8.79322 2.67518i 0.491556 0.149547i
\(321\) 15.5522 9.11331i 0.868042 0.508656i
\(322\) −15.3668 6.46111i −0.856358 0.360063i
\(323\) 4.41419 0.878036i 0.245612 0.0488552i
\(324\) −9.23522 15.4503i −0.513068 0.858348i
\(325\) 11.4051 + 17.0689i 0.632639 + 0.946812i
\(326\) 13.9817 + 2.85853i 0.774376 + 0.158319i
\(327\) 25.9747 3.59018i 1.43640 0.198537i
\(328\) 3.99430 14.0089i 0.220548 0.773510i
\(329\) −14.0606 + 18.3241i −0.775186 + 1.01024i
\(330\) −9.54871 10.8634i −0.525639 0.598012i
\(331\) 5.46578 6.23253i 0.300427 0.342571i −0.581855 0.813292i \(-0.697673\pi\)
0.882282 + 0.470721i \(0.156006\pi\)
\(332\) −9.32204 3.27541i −0.511613 0.179761i
\(333\) −9.89476 19.4288i −0.542230 1.06469i
\(334\) −15.9857 4.37462i −0.874698 0.239368i
\(335\) 11.4839 3.07710i 0.627431 0.168120i
\(336\) −4.18263 + 19.5110i −0.228181 + 1.06441i
\(337\) 7.61810 + 2.04126i 0.414984 + 0.111195i 0.460269 0.887779i \(-0.347753\pi\)
−0.0452850 + 0.998974i \(0.514420\pi\)
\(338\) −22.1215 12.9292i −1.20325 0.703258i
\(339\) −11.2065 + 5.61654i −0.608651 + 0.305049i
\(340\) 0.620653 1.22552i 0.0336596 0.0664631i
\(341\) 1.67645 8.42806i 0.0907846 0.456405i
\(342\) 14.3430 + 28.5376i 0.775583 + 1.54314i
\(343\) 15.1798 6.28768i 0.819632 0.339503i
\(344\) −4.08208 + 11.4233i −0.220091 + 0.615901i
\(345\) −3.06802 + 7.54410i −0.165177 + 0.406161i
\(346\) −1.26152 20.9543i −0.0678198 1.12651i
\(347\) 14.2597 + 7.03211i 0.765502 + 0.377504i 0.782741 0.622348i \(-0.213821\pi\)
−0.0172393 + 0.999851i \(0.505488\pi\)
\(348\) 7.23186 17.2544i 0.387668 0.924935i
\(349\) −19.0083 6.45246i −1.01749 0.345393i −0.237639 0.971353i \(-0.576374\pi\)
−0.779854 + 0.625961i \(0.784707\pi\)
\(350\) −9.18806 + 11.8431i −0.491123 + 0.633043i
\(351\) 14.9759 + 24.8175i 0.799354 + 1.32466i
\(352\) −26.4076 + 12.1608i −1.40753 + 0.648172i
\(353\) 7.48200 12.9592i 0.398227 0.689749i −0.595281 0.803518i \(-0.702959\pi\)
0.993507 + 0.113769i \(0.0362924\pi\)
\(354\) 2.57685 19.7455i 0.136958 1.04946i
\(355\) 4.63278 + 5.28267i 0.245882 + 0.280375i
\(356\) −8.30611 20.6720i −0.440223 1.09562i
\(357\) 1.67288 + 2.46903i 0.0885383 + 0.130675i
\(358\) 2.32852 1.53802i 0.123066 0.0812867i
\(359\) −10.7802 + 26.0256i −0.568956 + 1.37358i 0.333480 + 0.942757i \(0.391777\pi\)
−0.902436 + 0.430824i \(0.858223\pi\)
\(360\) 9.55551 + 1.93112i 0.503620 + 0.101779i
\(361\) −14.4169 34.8054i −0.758783 1.83186i
\(362\) −12.1079 + 17.9138i −0.636378 + 0.941527i
\(363\) 20.1856 + 17.4733i 1.05947 + 0.917109i
\(364\) 6.60374 31.4471i 0.346130 1.64828i
\(365\) −15.7115 1.02979i −0.822377 0.0539014i
\(366\) −0.0261358 23.1364i −0.00136614 1.20936i
\(367\) −13.7675 + 3.68898i −0.718656 + 0.192563i −0.599572 0.800321i \(-0.704662\pi\)
−0.119084 + 0.992884i \(0.537996\pi\)
\(368\) 12.7726 + 10.2398i 0.665820 + 0.533785i
\(369\) 10.7836 11.0654i 0.561370 0.576041i
\(370\) 11.3898 + 3.11690i 0.592126 + 0.162040i
\(371\) −3.03783 6.16012i −0.157717 0.319817i
\(372\) 2.53994 + 5.20536i 0.131690 + 0.269885i
\(373\) −10.3349 + 3.50823i −0.535122 + 0.181649i −0.575902 0.817519i \(-0.695349\pi\)
0.0407800 + 0.999168i \(0.487016\pi\)
\(374\) −1.41862 + 4.10721i −0.0733550 + 0.212379i
\(375\) 13.7709 + 10.4264i 0.711129 + 0.538418i
\(376\) 18.2131 13.5192i 0.939269 0.697200i
\(377\) −11.5292 + 27.8339i −0.593784 + 1.43352i
\(378\) −13.7303 + 16.1066i −0.706210 + 0.828436i
\(379\) −15.3042 + 10.2259i −0.786121 + 0.525270i −0.882633 0.470062i \(-0.844231\pi\)
0.0965118 + 0.995332i \(0.469231\pi\)
\(380\) −16.6601 4.65457i −0.854646 0.238774i
\(381\) 13.1902 + 14.8463i 0.675755 + 0.760601i
\(382\) 13.8755 10.5302i 0.709930 0.538773i
\(383\) −11.1730 19.3522i −0.570913 0.988851i −0.996472 0.0839202i \(-0.973256\pi\)
0.425559 0.904931i \(-0.360077\pi\)
\(384\) 9.20390 17.2999i 0.469684 0.882834i
\(385\) −8.50319 + 14.7280i −0.433363 + 0.750607i
\(386\) 4.25029 + 33.6670i 0.216334 + 1.71361i
\(387\) −9.56338 + 8.60757i −0.486134 + 0.437547i
\(388\) 9.08030 + 35.3898i 0.460982 + 1.79665i
\(389\) −1.61447 24.6321i −0.0818569 1.24889i −0.819252 0.573433i \(-0.805611\pi\)
0.737395 0.675461i \(-0.236056\pi\)
\(390\) −15.4004 3.04526i −0.779832 0.154203i
\(391\) 2.42582 0.319365i 0.122679 0.0161510i
\(392\) 3.63938 0.420172i 0.183817 0.0212219i
\(393\) −13.7686 1.72242i −0.694535 0.0868846i
\(394\) −4.02949 + 0.779258i −0.203003 + 0.0392584i
\(395\) −1.89490 + 9.52632i −0.0953429 + 0.479321i
\(396\) −30.7752 1.94729i −1.54651 0.0978552i
\(397\) −18.5224 + 27.7207i −0.929612 + 1.39126i −0.00935165 + 0.999956i \(0.502977\pi\)
−0.920260 + 0.391306i \(0.872023\pi\)
\(398\) −14.3610 + 14.2090i −0.719850 + 0.712233i
\(399\) 26.3834 26.7259i 1.32082 1.33797i
\(400\) 11.8663 8.71059i 0.593315 0.435530i
\(401\) 1.28329 4.78929i 0.0640843 0.239166i −0.926453 0.376411i \(-0.877158\pi\)
0.990537 + 0.137245i \(0.0438248\pi\)
\(402\) 12.6491 21.9662i 0.630880 1.09557i
\(403\) −4.12524 8.36515i −0.205493 0.416698i
\(404\) 12.7311 + 11.4067i 0.633396 + 0.567506i
\(405\) 7.94731 + 6.61489i 0.394905 + 0.328697i
\(406\) −21.9429 1.55547i −1.08901 0.0771969i
\(407\) −37.0328 4.87547i −1.83565 0.241668i
\(408\) −0.915028 2.78222i −0.0453006 0.137740i
\(409\) 3.96268 0.521697i 0.195942 0.0257963i −0.0319163 0.999491i \(-0.510161\pi\)
0.227858 + 0.973694i \(0.426828\pi\)
\(410\) 0.502876 + 8.35295i 0.0248353 + 0.412523i
\(411\) 17.5628 11.8996i 0.866310 0.586965i
\(412\) −4.66435 + 5.94663i −0.229796 + 0.292969i
\(413\) −22.9640 + 4.56783i −1.12999 + 0.224768i
\(414\) 6.76612 + 15.9910i 0.332536 + 0.785915i
\(415\) 5.67595 0.278622
\(416\) −14.7045 + 27.9205i −0.720947 + 1.36892i
\(417\) −7.56744 4.30424i −0.370579 0.210779i
\(418\) 54.2099 + 7.43042i 2.65149 + 0.363434i
\(419\) 7.08187 6.21063i 0.345972 0.303409i −0.468670 0.883373i \(-0.655267\pi\)
0.814642 + 0.579964i \(0.196933\pi\)
\(420\) −1.44856 11.3708i −0.0706823 0.554837i
\(421\) 1.20883 + 18.4432i 0.0589147 + 0.898864i 0.920374 + 0.391038i \(0.127884\pi\)
−0.861460 + 0.507826i \(0.830449\pi\)
\(422\) 2.53836 + 1.26861i 0.123565 + 0.0617550i
\(423\) 23.8099 3.44759i 1.15768 0.167627i
\(424\) 1.21018 + 6.63565i 0.0587714 + 0.322255i
\(425\) 0.287170 2.18127i 0.0139298 0.105807i
\(426\) 14.9494 + 0.962879i 0.724302 + 0.0466516i
\(427\) −25.7604 + 8.74449i −1.24664 + 0.423176i
\(428\) 11.3790 + 17.4285i 0.550026 + 0.842436i
\(429\) 49.5710 + 2.92815i 2.39331 + 0.141372i
\(430\) 0.0370650 6.96836i 0.00178744 0.336044i
\(431\) 19.6354 19.6354i 0.945805 0.945805i −0.0528005 0.998605i \(-0.516815\pi\)
0.998605 + 0.0528005i \(0.0168147\pi\)
\(432\) 17.3040 11.5139i 0.832540 0.553964i
\(433\) 0.766640 + 0.766640i 0.0368424 + 0.0368424i 0.725288 0.688446i \(-0.241707\pi\)
−0.688446 + 0.725288i \(0.741707\pi\)
\(434\) 4.84116 4.78993i 0.232383 0.229924i
\(435\) −0.633728 + 10.7285i −0.0303849 + 0.514390i
\(436\) 5.59073 + 29.7575i 0.267747 + 1.42512i
\(437\) −9.90352 29.1748i −0.473750 1.39562i
\(438\) −25.2138 + 22.1623i −1.20476 + 1.05896i
\(439\) −18.9251 2.49154i −0.903246 0.118915i −0.335425 0.942067i \(-0.608880\pi\)
−0.567821 + 0.823152i \(0.692213\pi\)
\(440\) 11.9963 11.6194i 0.571902 0.553935i
\(441\) 3.60888 + 1.44060i 0.171851 + 0.0686001i
\(442\) 1.49226 + 4.47409i 0.0709794 + 0.212811i
\(443\) −10.4461 + 0.684670i −0.496307 + 0.0325297i −0.311502 0.950246i \(-0.600832\pi\)
−0.184805 + 0.982775i \(0.559165\pi\)
\(444\) 21.8559 12.4967i 1.03723 0.593067i
\(445\) 8.43813 + 9.62184i 0.400006 + 0.456119i
\(446\) 5.69817 4.32440i 0.269816 0.204766i
\(447\) 0.615804 1.08267i 0.0291265 0.0512084i
\(448\) −22.7365 3.73487i −1.07420 0.176456i
\(449\) 29.9797i 1.41483i 0.706798 + 0.707416i \(0.250139\pi\)
−0.706798 + 0.707416i \(0.749861\pi\)
\(450\) 15.4636 2.15517i 0.728963 0.101596i
\(451\) −5.16396 25.9610i −0.243162 1.22246i
\(452\) −7.10342 12.6114i −0.334117 0.593192i
\(453\) −8.29043 12.2360i −0.389518 0.574895i
\(454\) −21.0855 18.6908i −0.989590 0.877202i
\(455\) 2.40935 + 18.3008i 0.112952 + 0.857955i
\(456\) −32.1131 + 18.1356i −1.50384 + 0.849278i
\(457\) −1.79299 + 13.6191i −0.0838725 + 0.637075i 0.896944 + 0.442144i \(0.145782\pi\)
−0.980817 + 0.194932i \(0.937552\pi\)
\(458\) −11.3939 13.1325i −0.532402 0.613642i
\(459\) 0.546993 3.05795i 0.0255315 0.142733i
\(460\) −8.87226 3.11737i −0.413671 0.145348i
\(461\) −11.3371 + 5.59083i −0.528020 + 0.260391i −0.686702 0.726939i \(-0.740942\pi\)
0.158682 + 0.987330i \(0.449276\pi\)
\(462\) 9.42390 + 35.0122i 0.438439 + 1.62892i
\(463\) 18.9583 + 5.07987i 0.881069 + 0.236082i 0.670868 0.741577i \(-0.265922\pi\)
0.210200 + 0.977658i \(0.432588\pi\)
\(464\) 20.3041 + 7.37767i 0.942595 + 0.342500i
\(465\) −2.36780 2.33746i −0.109804 0.108397i
\(466\) −19.1243 0.101723i −0.885914 0.00471222i
\(467\) 30.0060 + 20.0494i 1.38851 + 0.927774i 0.999980 + 0.00633907i \(0.00201780\pi\)
0.388532 + 0.921435i \(0.372982\pi\)
\(468\) −27.7873 + 18.6578i −1.28447 + 0.862459i
\(469\) −29.2317 5.81454i −1.34979 0.268491i
\(470\) −7.29648 + 10.7952i −0.336561 + 0.497946i
\(471\) 0.356251 2.84778i 0.0164152 0.131219i
\(472\) 22.9173 + 1.86976i 1.05485 + 0.0860626i
\(473\) 2.87711 + 21.8538i 0.132290 + 1.00484i
\(474\) 11.5244 + 17.2054i 0.529334 + 0.790271i
\(475\) −27.6446 + 1.81192i −1.26842 + 0.0831368i
\(476\) −2.75427 + 2.06725i −0.126242 + 0.0947521i
\(477\) −2.21210 + 6.80368i −0.101285 + 0.311519i
\(478\) 11.0094 + 8.54120i 0.503556 + 0.390665i
\(479\) 19.8906 + 11.4838i 0.908825 + 0.524710i 0.880053 0.474876i \(-0.157507\pi\)
0.0287718 + 0.999586i \(0.490840\pi\)
\(480\) −1.69384 + 11.1287i −0.0773129 + 0.507951i
\(481\) −35.1106 + 20.2711i −1.60091 + 0.924284i
\(482\) −20.2167 2.77105i −0.920846 0.126218i
\(483\) 15.2627 13.5601i 0.694476 0.617007i
\(484\) −19.0260 + 24.2564i −0.864818 + 1.10257i
\(485\) −11.6604 17.4510i −0.529470 0.792408i
\(486\) 21.9514 2.03353i 0.995737 0.0922427i
\(487\) 14.3576 + 5.94713i 0.650607 + 0.269490i 0.683480 0.729969i \(-0.260466\pi\)
−0.0328730 + 0.999460i \(0.510466\pi\)
\(488\) 26.6829 1.32169i 1.20788 0.0598302i
\(489\) −10.5504 + 13.9348i −0.477108 + 0.630151i
\(490\) −1.89241 + 0.920752i −0.0854904 + 0.0415954i
\(491\) 0.0818100 + 0.241004i 0.00369203 + 0.0108764i 0.948761 0.315996i \(-0.102339\pi\)
−0.945068 + 0.326872i \(0.894005\pi\)
\(492\) 13.3642 + 11.8195i 0.602506 + 0.532866i
\(493\) 2.89582 1.42806i 0.130421 0.0643167i
\(494\) 51.5901 29.4208i 2.32115 1.32370i
\(495\) 17.0499 4.80503i 0.766337 0.215970i
\(496\) −5.86181 + 3.22003i −0.263203 + 0.144583i
\(497\) −4.55889 17.0140i −0.204494 0.763183i
\(498\) 8.54728 8.56662i 0.383013 0.383879i
\(499\) 1.55325 23.6980i 0.0695331 1.06087i −0.810432 0.585832i \(-0.800768\pi\)
0.879966 0.475038i \(-0.157566\pi\)
\(500\) −11.2566 + 16.4648i −0.503410 + 0.736327i
\(501\) 13.2849 15.3470i 0.593525 0.685655i
\(502\) 3.02753 + 15.6552i 0.135125 + 0.698724i
\(503\) −9.95335 + 4.12281i −0.443798 + 0.183827i −0.593380 0.804922i \(-0.702207\pi\)
0.149583 + 0.988749i \(0.452207\pi\)
\(504\) −19.3431 14.9367i −0.861608 0.665334i
\(505\) −9.07196 3.75773i −0.403697 0.167217i
\(506\) 29.1435 + 5.95833i 1.29559 + 0.264880i
\(507\) 25.9797 17.6025i 1.15380 0.781753i
\(508\) −16.3867 + 16.0417i −0.727042 + 0.711736i
\(509\) 0.711175 0.623683i 0.0315223 0.0276443i −0.643440 0.765497i \(-0.722493\pi\)
0.674962 + 0.737852i \(0.264160\pi\)
\(510\) 1.02572 + 1.33362i 0.0454197 + 0.0590539i
\(511\) 34.1833 + 19.7357i 1.51218 + 0.873057i
\(512\) 20.4667 + 9.64958i 0.904509 + 0.426455i
\(513\) −39.1101 + 0.756716i −1.72675 + 0.0334098i
\(514\) 21.3522 2.69561i 0.941805 0.118898i
\(515\) 1.39553 4.11108i 0.0614942 0.181156i
\(516\) −10.4614 10.5494i −0.460538 0.464413i
\(517\) 18.2291 36.9649i 0.801714 1.62571i
\(518\) −22.1524 19.6365i −0.973319 0.862780i
\(519\) 23.8160 + 9.68547i 1.04541 + 0.425145i
\(520\) 2.65255 17.9321i 0.116322 0.786375i
\(521\) −8.98375 21.6887i −0.393585 0.950199i −0.989152 0.146893i \(-0.953073\pi\)
0.595567 0.803306i \(-0.296927\pi\)
\(522\) 15.2380 + 17.1122i 0.666948 + 0.748981i
\(523\) −16.4070 3.26356i −0.717430 0.142706i −0.177141 0.984185i \(-0.556685\pi\)
−0.540289 + 0.841480i \(0.681685\pi\)
\(524\) 1.21795 15.9762i 0.0532062 0.697923i
\(525\) −8.22560 16.4122i −0.358995 0.716287i
\(526\) 43.1454 11.3152i 1.88123 0.493364i
\(527\) −0.258715 + 0.965536i −0.0112698 + 0.0420594i
\(528\) 0.527941 35.6033i 0.0229757 1.54943i
\(529\) 1.61773 + 6.03744i 0.0703360 + 0.262497i
\(530\) −1.91948 3.36585i −0.0833767 0.146203i
\(531\) 20.4511 + 13.2867i 0.887504 + 0.576595i
\(532\) 32.2971 + 28.9374i 1.40026 + 1.25459i
\(533\) −21.6004 18.9431i −0.935618 0.820515i
\(534\) 27.2289 + 1.75378i 1.17831 + 0.0758937i
\(535\) −9.48588 7.27877i −0.410110 0.314689i
\(536\) 26.0408 + 13.3626i 1.12479 + 0.577177i
\(537\) 0.467953 + 3.38560i 0.0201937 + 0.146099i
\(538\) 0.880627 + 1.33325i 0.0379665 + 0.0574804i
\(539\) 5.53504 3.69840i 0.238411 0.159301i
\(540\) −7.18565 + 9.53530i −0.309221 + 0.410334i
\(541\) 1.93768 + 9.74140i 0.0833075 + 0.418815i 0.999823 + 0.0188160i \(0.00598966\pi\)
−0.916515 + 0.399999i \(0.869010\pi\)
\(542\) −2.05642 + 0.839010i −0.0883308 + 0.0360386i
\(543\) −13.3882 22.8476i −0.574545 0.980484i
\(544\) 3.15780 1.21066i 0.135389 0.0519066i
\(545\) −8.69658 15.0629i −0.372521 0.645225i
\(546\) 31.2492 + 23.9224i 1.33734 + 1.02378i
\(547\) 7.16103 21.0957i 0.306184 0.901988i −0.679543 0.733635i \(-0.737822\pi\)
0.985727 0.168352i \(-0.0538447\pi\)
\(548\) 14.7049 + 19.5918i 0.628160 + 0.836920i
\(549\) 25.5735 + 12.2040i 1.09145 + 0.520853i
\(550\) 11.9576 23.9259i 0.509873 1.02020i
\(551\) −24.7508 32.2558i −1.05442 1.37415i
\(552\) −18.0655 + 8.69637i −0.768920 + 0.370142i
\(553\) 14.8229 19.3176i 0.630334 0.821468i
\(554\) −19.5264 + 9.50058i −0.829598 + 0.403641i
\(555\) −9.46545 + 10.9347i −0.401786 + 0.464153i
\(556\) 4.54185 8.96818i 0.192617 0.380336i
\(557\) 6.36163 9.52086i 0.269551 0.403412i −0.671857 0.740681i \(-0.734503\pi\)
0.941408 + 0.337269i \(0.109503\pi\)
\(558\) −7.09350 + 0.0537575i −0.300292 + 0.00227574i
\(559\) 16.9174 + 16.9174i 0.715528 + 0.715528i
\(560\) 13.0336 2.30545i 0.550771 0.0974228i
\(561\) −3.78733 3.73880i −0.159901 0.157852i
\(562\) −21.2904 + 5.58355i −0.898082 + 0.235528i
\(563\) 41.2309 + 2.70242i 1.73768 + 0.113893i 0.901005 0.433810i \(-0.142831\pi\)
0.836673 + 0.547703i \(0.184498\pi\)
\(564\) 5.30542 + 27.2687i 0.223398 + 1.14822i
\(565\) 6.25136 + 5.48230i 0.262997 + 0.230642i
\(566\) −34.5983 + 30.0178i −1.45427 + 1.26174i
\(567\) −10.5340 23.6844i −0.442388 0.994651i
\(568\) −0.276011 + 17.2957i −0.0115812 + 0.725711i
\(569\) 6.12675 + 7.98454i 0.256847 + 0.334729i 0.903922 0.427697i \(-0.140675\pi\)
−0.647075 + 0.762426i \(0.724008\pi\)
\(570\) 13.9507 15.9441i 0.584333 0.667824i
\(571\) 17.0190 + 8.39285i 0.712224 + 0.351230i 0.762041 0.647528i \(-0.224197\pi\)
−0.0498175 + 0.998758i \(0.515864\pi\)
\(572\) −0.609965 + 57.3362i −0.0255039 + 2.39735i
\(573\) 4.29681 + 20.8964i 0.179502 + 0.872958i
\(574\) 8.13084 19.3380i 0.339375 0.807153i
\(575\) −15.0610 −0.628088
\(576\) 14.2456 + 19.3149i 0.593565 + 0.804786i
\(577\) 16.5518 0.689061 0.344531 0.938775i \(-0.388038\pi\)
0.344531 + 0.938775i \(0.388038\pi\)
\(578\) −9.12243 + 21.6964i −0.379443 + 0.902450i
\(579\) −39.4405 13.1052i −1.63909 0.544634i
\(580\) −12.4091 0.132013i −0.515258 0.00548152i
\(581\) −12.7616 6.29332i −0.529440 0.261091i
\(582\) −43.8975 8.68022i −1.81961 0.359807i
\(583\) 7.46118 + 9.72359i 0.309010 + 0.402710i
\(584\) −26.9685 27.8432i −1.11596 1.15216i
\(585\) 11.5069 15.4034i 0.475750 0.636850i
\(586\) −24.3865 + 21.1580i −1.00740 + 0.874029i
\(587\) 25.1892 + 22.0903i 1.03967 + 0.911766i 0.996183 0.0872880i \(-0.0278200\pi\)
0.0434868 + 0.999054i \(0.486153\pi\)
\(588\) −1.46006 + 4.24272i −0.0602119 + 0.174967i
\(589\) 12.5601 + 0.823235i 0.517532 + 0.0339208i
\(590\) −12.7765 + 3.35071i −0.525998 + 0.137946i
\(591\) 1.26963 4.86355i 0.0522254 0.200060i
\(592\) 15.6331 + 24.5099i 0.642518 + 1.00735i
\(593\) −13.3996 13.3996i −0.550258 0.550258i 0.376258 0.926515i \(-0.377211\pi\)
−0.926515 + 0.376258i \(0.877211\pi\)
\(594\) 18.4229 32.9689i 0.755902 1.35273i
\(595\) 1.09906 1.64486i 0.0450572 0.0674328i
\(596\) 1.28307 + 0.649799i 0.0525566 + 0.0266168i
\(597\) −8.10419 23.3778i −0.331682 0.956789i
\(598\) 29.0326 14.1258i 1.18723 0.577647i
\(599\) −3.89191 + 5.07204i −0.159019 + 0.207238i −0.866067 0.499928i \(-0.833360\pi\)
0.707048 + 0.707166i \(0.250027\pi\)
\(600\) 3.34889 + 17.7147i 0.136718 + 0.723199i
\(601\) −2.73118 3.55934i −0.111407 0.145188i 0.734322 0.678802i \(-0.237500\pi\)
−0.845729 + 0.533613i \(0.820834\pi\)
\(602\) −7.80963 + 15.6263i −0.318297 + 0.636879i
\(603\) 17.5789 + 25.5881i 0.715869 + 1.04203i
\(604\) 13.6495 10.2448i 0.555392 0.416856i
\(605\) 5.69238 16.7692i 0.231428 0.681766i
\(606\) −19.3327 + 8.03348i −0.785339 + 0.326338i
\(607\) −4.73110 8.19450i −0.192029 0.332604i 0.753893 0.656997i \(-0.228174\pi\)
−0.945923 + 0.324392i \(0.894840\pi\)
\(608\) −22.7094 36.0253i −0.920987 1.46102i
\(609\) 13.3202 23.4188i 0.539763 0.948977i
\(610\) −14.2096 + 5.79744i −0.575328 + 0.234731i
\(611\) −8.72738 43.8755i −0.353072 1.77501i
\(612\) 3.55743 + 0.460170i 0.143800 + 0.0186013i
\(613\) −26.5343 + 17.7297i −1.07171 + 0.716094i −0.960662 0.277721i \(-0.910421\pi\)
−0.111049 + 0.993815i \(0.535421\pi\)
\(614\) −8.95750 13.5614i −0.361495 0.547295i
\(615\) −9.49371 3.86089i −0.382823 0.155686i
\(616\) −39.8553 + 12.8236i −1.60582 + 0.516676i
\(617\) 2.66679 + 2.04630i 0.107361 + 0.0823808i 0.661047 0.750345i \(-0.270113\pi\)
−0.553686 + 0.832726i \(0.686779\pi\)
\(618\) −4.10330 8.29703i −0.165059 0.333755i
\(619\) −22.8363 20.0269i −0.917870 0.804950i 0.0633207 0.997993i \(-0.479831\pi\)
−0.981190 + 0.193043i \(0.938164\pi\)
\(620\) 2.56373 2.86139i 0.102962 0.114916i
\(621\) −21.2433 0.980094i −0.852465 0.0393298i
\(622\) 5.57758 + 9.78043i 0.223641 + 0.392160i
\(623\) −8.30355 30.9893i −0.332675 1.24156i
\(624\) −23.0702 31.0070i −0.923547 1.24127i
\(625\) −1.79696 + 6.70634i −0.0718784 + 0.268254i
\(626\) −3.52226 + 0.923736i −0.140778 + 0.0369199i
\(627\) −36.8709 + 55.9591i −1.47248 + 2.23479i
\(628\) 3.30438 + 0.251909i 0.131859 + 0.0100523i
\(629\) 4.26151 + 0.847667i 0.169918 + 0.0337987i
\(630\) 13.3276 + 4.41177i 0.530985 + 0.175769i
\(631\) −3.08391 7.44521i −0.122768 0.296389i 0.850532 0.525923i \(-0.176280\pi\)
−0.973301 + 0.229534i \(0.926280\pi\)
\(632\) −19.2005 + 14.2522i −0.763756 + 0.566920i
\(633\) −2.74358 + 2.13348i −0.109048 + 0.0847981i
\(634\) −27.4976 24.3747i −1.09207 0.968042i
\(635\) 5.82628 11.8145i 0.231209 0.468845i
\(636\) −7.97051 2.17152i −0.316051 0.0861064i
\(637\) 2.32254 6.84198i 0.0920224 0.271089i
\(638\) 38.9450 4.91661i 1.54185 0.194650i
\(639\) −8.96791 + 16.0061i −0.354765 + 0.633192i
\(640\) −12.9298 1.33235i −0.511095 0.0526659i
\(641\) 18.1576 + 10.4833i 0.717181 + 0.414065i 0.813714 0.581265i \(-0.197442\pi\)
−0.0965332 + 0.995330i \(0.530775\pi\)
\(642\) −25.2703 + 3.35594i −0.997339 + 0.132448i
\(643\) −18.0506 + 15.8299i −0.711844 + 0.624271i −0.936705 0.350120i \(-0.886141\pi\)
0.224860 + 0.974391i \(0.427807\pi\)
\(644\) 16.4916 + 16.8463i 0.649860 + 0.663835i
\(645\) 7.67861 + 3.72531i 0.302345 + 0.146684i
\(646\) −6.23591 1.27492i −0.245349 0.0501610i
\(647\) −14.5168 6.01307i −0.570715 0.236398i 0.0786143 0.996905i \(-0.474950\pi\)
−0.649330 + 0.760507i \(0.724950\pi\)
\(648\) 3.57077 + 25.2042i 0.140273 + 0.990113i
\(649\) 38.6004 15.9888i 1.51520 0.627615i
\(650\) −5.51229 28.5037i −0.216210 1.11801i
\(651\) 2.73197 + 7.88079i 0.107074 + 0.308872i
\(652\) −16.6606 11.3905i −0.652480 0.446086i
\(653\) −2.67590 + 40.8264i −0.104716 + 1.59766i 0.545633 + 0.838024i \(0.316289\pi\)
−0.650349 + 0.759636i \(0.725377\pi\)
\(654\) −35.8302 9.55730i −1.40107 0.373720i
\(655\) 2.38220 + 8.89049i 0.0930802 + 0.347380i
\(656\) −12.8860 + 16.0734i −0.503115 + 0.627563i
\(657\) −11.1524 39.5725i −0.435095 1.54387i
\(658\) 28.3745 16.1814i 1.10615 0.630817i
\(659\) 14.9616 7.37824i 0.582821 0.287416i −0.126880 0.991918i \(-0.540496\pi\)
0.709702 + 0.704502i \(0.248830\pi\)
\(660\) 6.49366 + 19.3963i 0.252766 + 0.755000i
\(661\) 6.53813 + 19.2607i 0.254304 + 0.749155i 0.996846 + 0.0793561i \(0.0252864\pi\)
−0.742542 + 0.669799i \(0.766380\pi\)
\(662\) −10.5418 + 5.12913i −0.409720 + 0.199349i
\(663\) −5.73170 0.717021i −0.222601 0.0278468i
\(664\) 10.3574 + 9.37980i 0.401947 + 0.364007i
\(665\) −23.0144 9.53286i −0.892459 0.369669i
\(666\) 2.24979 + 30.7524i 0.0871776 + 1.19163i
\(667\) −12.2799 18.3781i −0.475479 0.711604i
\(668\) 18.4421 + 14.4654i 0.713546 + 0.559683i
\(669\) 1.76455 + 8.58141i 0.0682215 + 0.331777i
\(670\) −16.6578 2.28325i −0.643548 0.0882095i
\(671\) 42.0405 24.2721i 1.62296 0.937014i
\(672\) 16.1475 23.1431i 0.622902 0.892766i
\(673\) 20.0011 + 11.5476i 0.770984 + 0.445128i 0.833225 0.552933i \(-0.186492\pi\)
−0.0622416 + 0.998061i \(0.519825\pi\)
\(674\) −8.81256 6.83689i −0.339447 0.263347i
\(675\) −5.79515 + 18.2228i −0.223056 + 0.701395i
\(676\) 21.7521 + 28.9811i 0.836619 + 1.11466i
\(677\) 18.9060 1.23916i 0.726616 0.0476249i 0.302394 0.953183i \(-0.402214\pi\)
0.424222 + 0.905558i \(0.360548\pi\)
\(678\) 17.6881 1.17941i 0.679308 0.0452949i
\(679\) 6.86761 + 52.1647i 0.263555 + 2.00190i
\(680\) −1.48088 + 1.25746i −0.0567891 + 0.0482215i
\(681\) 31.7969 13.4116i 1.21846 0.513933i
\(682\) −6.80526 + 10.0684i −0.260587 + 0.385541i
\(683\) −3.43597 0.683457i −0.131474 0.0261518i 0.128915 0.991656i \(-0.458851\pi\)
−0.260389 + 0.965504i \(0.583851\pi\)
\(684\) −3.05601 45.0654i −0.116850 1.72312i
\(685\) −11.7003 7.81791i −0.447047 0.298707i
\(686\) −23.2359 0.123593i −0.887151 0.00471880i
\(687\) 20.5323 5.64376i 0.783355 0.215323i
\(688\) 11.5832 12.6546i 0.441605 0.482451i
\(689\) 12.8497 + 3.44307i 0.489535 + 0.131170i
\(690\) 8.13489 8.15329i 0.309690 0.310390i
\(691\) −29.4478 + 14.5220i −1.12025 + 0.552444i −0.905551 0.424237i \(-0.860542\pi\)
−0.214695 + 0.976681i \(0.568876\pi\)
\(692\) −9.84125 + 28.0089i −0.374108 + 1.06474i
\(693\) −43.6620 8.10098i −1.65858 0.307731i
\(694\) −14.7353 16.9838i −0.559346 0.644697i
\(695\) −0.753755 + 5.72534i −0.0285916 + 0.217175i
\(696\) −18.8857 + 18.5300i −0.715862 + 0.702377i
\(697\) 0.401898 + 3.05272i 0.0152230 + 0.115630i
\(698\) 21.2437 + 18.8311i 0.804086 + 0.712766i
\(699\) 10.2239 21.0735i 0.386703 0.797074i
\(700\) 18.4698 10.4032i 0.698094 0.393203i
\(701\) −8.14265 40.9358i −0.307543 1.54613i −0.757356 0.653002i \(-0.773509\pi\)
0.449812 0.893123i \(-0.351491\pi\)
\(702\) −5.92011 40.5626i −0.223440 1.53094i
\(703\) 54.7130i 2.06354i
\(704\) 41.0925 1.37859i 1.54873 0.0519575i
\(705\) −8.06803 13.7684i −0.303860 0.518549i
\(706\) −16.8575 + 12.7933i −0.634439 + 0.481482i
\(707\) 16.2306 + 18.5074i 0.610414 + 0.696044i
\(708\) −14.1826 + 24.3290i −0.533015 + 0.914341i
\(709\) −15.6379 + 1.02496i −0.587292 + 0.0384932i −0.356153 0.934428i \(-0.615912\pi\)
−0.231139 + 0.972921i \(0.574245\pi\)
\(710\) −3.14396 9.42624i −0.117991 0.353760i
\(711\) −25.1008 + 3.63450i −0.941352 + 0.136304i
\(712\) −0.502725 + 31.5023i −0.0188404 + 1.18060i
\(713\) 6.78433 + 0.893175i 0.254075 + 0.0334497i
\(714\) −0.827511 4.13576i −0.0309688 0.154777i
\(715\) −10.5877 31.1904i −0.395958 1.16646i
\(716\) −3.87866 + 0.728709i −0.144952 + 0.0272331i
\(717\) −15.2567 + 7.64650i −0.569773 + 0.285564i
\(718\) 28.3194 28.0197i 1.05687 1.04569i
\(719\) −23.3799 23.3799i −0.871923 0.871923i 0.120759 0.992682i \(-0.461467\pi\)
−0.992682 + 0.120759i \(0.961467\pi\)
\(720\) −11.3987 7.75528i −0.424803 0.289022i
\(721\) −7.69588 + 7.69588i −0.286610 + 0.286610i
\(722\) −0.283384 + 53.2771i −0.0105464 + 1.98277i
\(723\) 13.7504 20.8690i 0.511384 0.776128i
\(724\) 25.6039 16.7168i 0.951561 0.621274i
\(725\) −18.8202 + 6.38859i −0.698964 + 0.237266i
\(726\) −16.7375 33.8438i −0.621186 1.25606i
\(727\) 2.40742 18.2862i 0.0892863 0.678197i −0.887009 0.461753i \(-0.847221\pi\)
0.976295 0.216444i \(-0.0694459\pi\)
\(728\) −25.8464 + 37.3768i −0.957932 + 1.38527i
\(729\) −9.35980 + 25.3258i −0.346659 + 0.937991i
\(730\) 19.9181 + 9.95456i 0.737201 + 0.368435i
\(731\) −0.167698 2.55858i −0.00620254 0.0946324i
\(732\) −12.6479 + 30.1765i −0.467479 + 1.11535i
\(733\) −16.2315 + 14.2347i −0.599526 + 0.525770i −0.904435 0.426611i \(-0.859707\pi\)
0.304909 + 0.952381i \(0.401374\pi\)
\(734\) 19.9702 + 2.73727i 0.737115 + 0.101035i
\(735\) −0.0166213 2.57745i −0.000613084 0.0950705i
\(736\) −11.0384 20.3504i −0.406882 0.750126i
\(737\) 53.1841 1.95906
\(738\) −20.1235 + 8.51467i −0.740757 + 0.313429i
\(739\) 21.5274 4.28208i 0.791900 0.157519i 0.217464 0.976068i \(-0.430221\pi\)
0.574436 + 0.818550i \(0.305221\pi\)
\(740\) −13.1400 10.3066i −0.483034 0.378877i
\(741\) 5.22518 + 72.5491i 0.191952 + 2.66516i
\(742\) 0.583726 + 9.69589i 0.0214292 + 0.355947i
\(743\) −11.8712 + 1.56287i −0.435511 + 0.0573361i −0.345094 0.938568i \(-0.612153\pi\)
−0.0904164 + 0.995904i \(0.528820\pi\)
\(744\) −0.457983 8.17829i −0.0167905 0.299831i
\(745\) −0.819120 0.107839i −0.0300102 0.00395092i
\(746\) 15.3963 + 1.09140i 0.563698 + 0.0399590i
\(747\) 4.94469 + 13.9719i 0.180917 + 0.511206i
\(748\) 4.10072 4.57683i 0.149937 0.167346i
\(749\) 13.2572 + 26.8829i 0.484407 + 0.982281i
\(750\) −12.2376 21.1410i −0.446854 0.771958i
\(751\) −7.51215 + 28.0357i −0.274122 + 1.02304i 0.682305 + 0.731067i \(0.260978\pi\)
−0.956427 + 0.291970i \(0.905689\pi\)
\(752\) −31.1542 + 7.64123i −1.13608 + 0.278647i
\(753\) −18.8956 4.93269i −0.688594 0.179757i
\(754\) 30.2871 29.9666i 1.10299 1.09132i
\(755\) −5.44671 + 8.15158i −0.198226 + 0.296666i
\(756\) 26.7284 13.4716i 0.972101 0.489956i
\(757\) −5.92284 + 29.7761i −0.215269 + 1.08223i 0.710371 + 0.703827i \(0.248527\pi\)
−0.925640 + 0.378404i \(0.876473\pi\)
\(758\) 25.5567 4.94238i 0.928261 0.179515i
\(759\) −21.9914 + 29.0456i −0.798236 + 1.05429i
\(760\) 19.1679 + 15.2001i 0.695292 + 0.551364i
\(761\) 5.18055 0.682032i 0.187795 0.0247236i −0.0360421 0.999350i \(-0.511475\pi\)
0.223837 + 0.974627i \(0.428142\pi\)
\(762\) −9.05780 26.5847i −0.328129 0.963063i
\(763\) 2.85176 + 43.5094i 0.103240 + 1.57515i
\(764\) −23.8610 + 6.12223i −0.863260 + 0.221495i
\(765\) −2.01563 + 0.428030i −0.0728754 + 0.0154755i
\(766\) 3.95818 + 31.3531i 0.143015 + 1.13283i
\(767\) 22.6744 39.2732i 0.818724 1.41807i
\(768\) −21.4816 + 17.5083i −0.775149 + 0.631778i
\(769\) 5.65877 + 9.80127i 0.204060 + 0.353443i 0.949833 0.312758i \(-0.101253\pi\)
−0.745773 + 0.666201i \(0.767919\pi\)
\(770\) 19.1583 14.5394i 0.690417 0.523964i
\(771\) −8.31155