Properties

Label 91.2.ba.a.54.1
Level $91$
Weight $2$
Character 91.54
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 54.1
Character \(\chi\) \(=\) 91.54
Dual form 91.2.ba.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.72056 + 1.72056i) q^{2} +(-1.70689 - 0.985473i) q^{3} -3.92067i q^{4} +(0.227080 - 0.0608458i) q^{5} +(4.63238 - 1.24124i) q^{6} +(1.27342 - 2.31914i) q^{7} +(3.30464 + 3.30464i) q^{8} +(0.442313 + 0.766108i) q^{9} +O(q^{10})\) \(q+(-1.72056 + 1.72056i) q^{2} +(-1.70689 - 0.985473i) q^{3} -3.92067i q^{4} +(0.227080 - 0.0608458i) q^{5} +(4.63238 - 1.24124i) q^{6} +(1.27342 - 2.31914i) q^{7} +(3.30464 + 3.30464i) q^{8} +(0.442313 + 0.766108i) q^{9} +(-0.286016 + 0.495394i) q^{10} +(2.76307 - 0.740362i) q^{11} +(-3.86372 + 6.69215i) q^{12} +(-2.03197 - 2.97844i) q^{13} +(1.79921 + 6.18122i) q^{14} +(-0.447562 - 0.119924i) q^{15} -3.53033 q^{16} -4.03177 q^{17} +(-2.07916 - 0.557110i) q^{18} +(1.42261 - 5.30924i) q^{19} +(-0.238557 - 0.890305i) q^{20} +(-4.45904 + 2.70358i) q^{21} +(-3.48019 + 6.02787i) q^{22} -6.05019i q^{23} +(-2.38402 - 8.89728i) q^{24} +(-4.28226 + 2.47237i) q^{25} +(8.62072 + 1.62847i) q^{26} +4.16929i q^{27} +(-9.09257 - 4.99268i) q^{28} +(3.54072 + 6.13271i) q^{29} +(0.976395 - 0.563722i) q^{30} +(0.595317 - 2.22176i) q^{31} +(-0.535124 + 0.535124i) q^{32} +(-5.44585 - 1.45921i) q^{33} +(6.93691 - 6.93691i) q^{34} +(0.148059 - 0.604111i) q^{35} +(3.00366 - 1.73416i) q^{36} +(7.34878 + 7.34878i) q^{37} +(6.68720 + 11.5826i) q^{38} +(0.533171 + 7.08632i) q^{39} +(0.951490 + 0.549343i) q^{40} +(-0.0713473 + 0.266272i) q^{41} +(3.02037 - 12.3237i) q^{42} +(3.91398 + 2.25974i) q^{43} +(-2.90272 - 10.8331i) q^{44} +(0.147055 + 0.147055i) q^{45} +(10.4097 + 10.4097i) q^{46} +(-0.842735 - 3.14513i) q^{47} +(6.02588 + 3.47904i) q^{48} +(-3.75679 - 5.90648i) q^{49} +(3.11404 - 11.6218i) q^{50} +(6.88178 + 3.97320i) q^{51} +(-11.6775 + 7.96668i) q^{52} +(-3.96785 - 6.87251i) q^{53} +(-7.17352 - 7.17352i) q^{54} +(0.582389 - 0.336242i) q^{55} +(11.8721 - 3.45570i) q^{56} +(-7.66035 + 7.66035i) q^{57} +(-16.6437 - 4.45968i) q^{58} +(-0.514009 + 0.514009i) q^{59} +(-0.470182 + 1.75474i) q^{60} +(1.97520 - 1.14038i) q^{61} +(2.79839 + 4.84695i) q^{62} +(2.33996 - 0.0502034i) q^{63} -8.90209i q^{64} +(-0.642644 - 0.552707i) q^{65} +(11.8806 - 6.85927i) q^{66} +(0.688941 + 2.57116i) q^{67} +15.8072i q^{68} +(-5.96230 + 10.3270i) q^{69} +(0.784667 + 1.29416i) q^{70} +(-0.362587 - 1.35319i) q^{71} +(-1.07003 + 3.99339i) q^{72} +(13.0894 + 3.50729i) q^{73} -25.2881 q^{74} +9.74580 q^{75} +(-20.8158 - 5.57758i) q^{76} +(1.80156 - 7.35072i) q^{77} +(-13.1098 - 11.2751i) q^{78} +(-1.91392 + 3.31501i) q^{79} +(-0.801666 + 0.214806i) q^{80} +(5.43566 - 9.41483i) q^{81} +(-0.335380 - 0.580895i) q^{82} +(4.19588 + 4.19588i) q^{83} +(10.5999 + 17.4824i) q^{84} +(-0.915533 + 0.245316i) q^{85} +(-10.6223 + 2.84623i) q^{86} -13.9571i q^{87} +(11.5776 + 6.68431i) q^{88} +(2.44076 - 2.44076i) q^{89} -0.506034 q^{90} +(-9.49496 + 0.919594i) q^{91} -23.7208 q^{92} +(-3.20562 + 3.20562i) q^{93} +(6.86137 + 3.96141i) q^{94} -1.29218i q^{95} +(1.44075 - 0.386047i) q^{96} +(2.61723 - 0.701285i) q^{97} +(16.6263 + 3.69869i) q^{98} +(1.78934 + 1.78934i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.72056 + 1.72056i −1.21662 + 1.21662i −0.247814 + 0.968808i \(0.579712\pi\)
−0.968808 + 0.247814i \(0.920288\pi\)
\(3\) −1.70689 0.985473i −0.985473 0.568963i −0.0815547 0.996669i \(-0.525989\pi\)
−0.903918 + 0.427706i \(0.859322\pi\)
\(4\) 3.92067i 1.96034i
\(5\) 0.227080 0.0608458i 0.101553 0.0272111i −0.207685 0.978196i \(-0.566593\pi\)
0.309238 + 0.950985i \(0.399926\pi\)
\(6\) 4.63238 1.24124i 1.89116 0.506735i
\(7\) 1.27342 2.31914i 0.481309 0.876551i
\(8\) 3.30464 + 3.30464i 1.16837 + 1.16837i
\(9\) 0.442313 + 0.766108i 0.147438 + 0.255369i
\(10\) −0.286016 + 0.495394i −0.0904462 + 0.156657i
\(11\) 2.76307 0.740362i 0.833096 0.223227i 0.183032 0.983107i \(-0.441409\pi\)
0.650064 + 0.759880i \(0.274742\pi\)
\(12\) −3.86372 + 6.69215i −1.11536 + 1.93186i
\(13\) −2.03197 2.97844i −0.563566 0.826071i
\(14\) 1.79921 + 6.18122i 0.480860 + 1.65200i
\(15\) −0.447562 0.119924i −0.115560 0.0309642i
\(16\) −3.53033 −0.882582
\(17\) −4.03177 −0.977847 −0.488924 0.872327i \(-0.662610\pi\)
−0.488924 + 0.872327i \(0.662610\pi\)
\(18\) −2.07916 0.557110i −0.490064 0.131312i
\(19\) 1.42261 5.30924i 0.326368 1.21802i −0.586561 0.809905i \(-0.699518\pi\)
0.912929 0.408118i \(-0.133815\pi\)
\(20\) −0.238557 0.890305i −0.0533429 0.199078i
\(21\) −4.45904 + 2.70358i −0.973042 + 0.589970i
\(22\) −3.48019 + 6.02787i −0.741979 + 1.28515i
\(23\) 6.05019i 1.26155i −0.775965 0.630776i \(-0.782737\pi\)
0.775965 0.630776i \(-0.217263\pi\)
\(24\) −2.38402 8.89728i −0.486636 1.81615i
\(25\) −4.28226 + 2.47237i −0.856453 + 0.494473i
\(26\) 8.62072 + 1.62847i 1.69066 + 0.319368i
\(27\) 4.16929i 0.802380i
\(28\) −9.09257 4.99268i −1.71833 0.943527i
\(29\) 3.54072 + 6.13271i 0.657495 + 1.13882i 0.981262 + 0.192679i \(0.0617175\pi\)
−0.323766 + 0.946137i \(0.604949\pi\)
\(30\) 0.976395 0.563722i 0.178264 0.102921i
\(31\) 0.595317 2.22176i 0.106922 0.399039i −0.891634 0.452757i \(-0.850441\pi\)
0.998556 + 0.0537180i \(0.0171072\pi\)
\(32\) −0.535124 + 0.535124i −0.0945975 + 0.0945975i
\(33\) −5.44585 1.45921i −0.948002 0.254016i
\(34\) 6.93691 6.93691i 1.18967 1.18967i
\(35\) 0.148059 0.604111i 0.0250265 0.102113i
\(36\) 3.00366 1.73416i 0.500610 0.289027i
\(37\) 7.34878 + 7.34878i 1.20813 + 1.20813i 0.971632 + 0.236500i \(0.0760002\pi\)
0.236500 + 0.971632i \(0.424000\pi\)
\(38\) 6.68720 + 11.5826i 1.08481 + 1.87894i
\(39\) 0.533171 + 7.08632i 0.0853757 + 1.13472i
\(40\) 0.951490 + 0.549343i 0.150444 + 0.0868587i
\(41\) −0.0713473 + 0.266272i −0.0111426 + 0.0415847i −0.971273 0.237967i \(-0.923519\pi\)
0.960131 + 0.279551i \(0.0901857\pi\)
\(42\) 3.02037 12.3237i 0.466053 1.90159i
\(43\) 3.91398 + 2.25974i 0.596877 + 0.344607i 0.767812 0.640675i \(-0.221345\pi\)
−0.170935 + 0.985282i \(0.554679\pi\)
\(44\) −2.90272 10.8331i −0.437601 1.63315i
\(45\) 0.147055 + 0.147055i 0.0219216 + 0.0219216i
\(46\) 10.4097 + 10.4097i 1.53483 + 1.53483i
\(47\) −0.842735 3.14513i −0.122926 0.458764i 0.876832 0.480797i \(-0.159653\pi\)
−0.999757 + 0.0220331i \(0.992986\pi\)
\(48\) 6.02588 + 3.47904i 0.869760 + 0.502156i
\(49\) −3.75679 5.90648i −0.536684 0.843784i
\(50\) 3.11404 11.6218i 0.440392 1.64357i
\(51\) 6.88178 + 3.97320i 0.963642 + 0.556359i
\(52\) −11.6775 + 7.96668i −1.61938 + 1.10478i
\(53\) −3.96785 6.87251i −0.545026 0.944012i −0.998605 0.0527963i \(-0.983187\pi\)
0.453580 0.891216i \(-0.350147\pi\)
\(54\) −7.17352 7.17352i −0.976193 0.976193i
\(55\) 0.582389 0.336242i 0.0785293 0.0453389i
\(56\) 11.8721 3.45570i 1.58648 0.461788i
\(57\) −7.66035 + 7.66035i −1.01464 + 1.01464i
\(58\) −16.6437 4.45968i −2.18543 0.585584i
\(59\) −0.514009 + 0.514009i −0.0669183 + 0.0669183i −0.739774 0.672856i \(-0.765068\pi\)
0.672856 + 0.739774i \(0.265068\pi\)
\(60\) −0.470182 + 1.75474i −0.0607002 + 0.226536i
\(61\) 1.97520 1.14038i 0.252899 0.146011i −0.368192 0.929750i \(-0.620023\pi\)
0.621091 + 0.783739i \(0.286690\pi\)
\(62\) 2.79839 + 4.84695i 0.355396 + 0.615563i
\(63\) 2.33996 0.0502034i 0.294807 0.00632503i
\(64\) 8.90209i 1.11276i
\(65\) −0.642644 0.552707i −0.0797102 0.0685548i
\(66\) 11.8806 6.85927i 1.46240 0.844318i
\(67\) 0.688941 + 2.57116i 0.0841676 + 0.314118i 0.995155 0.0983159i \(-0.0313456\pi\)
−0.910988 + 0.412434i \(0.864679\pi\)
\(68\) 15.8072i 1.91691i
\(69\) −5.96230 + 10.3270i −0.717776 + 1.24323i
\(70\) 0.784667 + 1.29416i 0.0937856 + 0.154681i
\(71\) −0.362587 1.35319i −0.0430312 0.160595i 0.941067 0.338220i \(-0.109825\pi\)
−0.984098 + 0.177626i \(0.943158\pi\)
\(72\) −1.07003 + 3.99339i −0.126104 + 0.470626i
\(73\) 13.0894 + 3.50729i 1.53200 + 0.410497i 0.923670 0.383190i \(-0.125174\pi\)
0.608326 + 0.793687i \(0.291841\pi\)
\(74\) −25.2881 −2.93968
\(75\) 9.74580 1.12535
\(76\) −20.8158 5.57758i −2.38774 0.639792i
\(77\) 1.80156 7.35072i 0.205306 0.837693i
\(78\) −13.1098 11.2751i −1.48439 1.27665i
\(79\) −1.91392 + 3.31501i −0.215333 + 0.372967i −0.953375 0.301787i \(-0.902417\pi\)
0.738043 + 0.674754i \(0.235750\pi\)
\(80\) −0.801666 + 0.214806i −0.0896290 + 0.0240160i
\(81\) 5.43566 9.41483i 0.603962 1.04609i
\(82\) −0.335380 0.580895i −0.0370365 0.0641491i
\(83\) 4.19588 + 4.19588i 0.460558 + 0.460558i 0.898838 0.438280i \(-0.144412\pi\)
−0.438280 + 0.898838i \(0.644412\pi\)
\(84\) 10.5999 + 17.4824i 1.15654 + 1.90749i
\(85\) −0.915533 + 0.245316i −0.0993035 + 0.0266083i
\(86\) −10.6223 + 2.84623i −1.14543 + 0.306917i
\(87\) 13.9571i 1.49636i
\(88\) 11.5776 + 6.68431i 1.23417 + 0.712550i
\(89\) 2.44076 2.44076i 0.258720 0.258720i −0.565813 0.824533i \(-0.691438\pi\)
0.824533 + 0.565813i \(0.191438\pi\)
\(90\) −0.506034 −0.0533407
\(91\) −9.49496 + 0.919594i −0.995343 + 0.0963996i
\(92\) −23.7208 −2.47307
\(93\) −3.20562 + 3.20562i −0.332407 + 0.332407i
\(94\) 6.86137 + 3.96141i 0.707696 + 0.408589i
\(95\) 1.29218i 0.132575i
\(96\) 1.44075 0.386047i 0.147046 0.0394008i
\(97\) 2.61723 0.701285i 0.265739 0.0712047i −0.123489 0.992346i \(-0.539408\pi\)
0.389228 + 0.921141i \(0.372742\pi\)
\(98\) 16.6263 + 3.69869i 1.67951 + 0.373624i
\(99\) 1.78934 + 1.78934i 0.179835 + 0.179835i
\(100\) 9.69334 + 16.7894i 0.969334 + 1.67894i
\(101\) −6.89116 + 11.9358i −0.685697 + 1.18766i 0.287521 + 0.957774i \(0.407169\pi\)
−0.973217 + 0.229887i \(0.926164\pi\)
\(102\) −18.6767 + 5.00440i −1.84927 + 0.495509i
\(103\) −4.01282 + 6.95040i −0.395395 + 0.684843i −0.993151 0.116834i \(-0.962725\pi\)
0.597757 + 0.801677i \(0.296059\pi\)
\(104\) 3.12775 16.5576i 0.306701 1.62360i
\(105\) −0.848055 + 0.885243i −0.0827617 + 0.0863909i
\(106\) 18.6515 + 4.99766i 1.81160 + 0.485415i
\(107\) 4.17877 0.403977 0.201988 0.979388i \(-0.435260\pi\)
0.201988 + 0.979388i \(0.435260\pi\)
\(108\) 16.3464 1.57293
\(109\) 13.6069 + 3.64596i 1.30331 + 0.349220i 0.842699 0.538385i \(-0.180965\pi\)
0.460607 + 0.887604i \(0.347632\pi\)
\(110\) −0.423510 + 1.58056i −0.0403801 + 0.150701i
\(111\) −5.30152 19.7856i −0.503198 1.87796i
\(112\) −4.49560 + 8.18731i −0.424795 + 0.773628i
\(113\) 2.30697 3.99579i 0.217022 0.375892i −0.736874 0.676030i \(-0.763699\pi\)
0.953896 + 0.300137i \(0.0970325\pi\)
\(114\) 26.3602i 2.46886i
\(115\) −0.368129 1.37388i −0.0343282 0.128115i
\(116\) 24.0443 13.8820i 2.23246 1.28891i
\(117\) 1.38304 2.87411i 0.127862 0.265712i
\(118\) 1.76877i 0.162828i
\(119\) −5.13415 + 9.35022i −0.470647 + 0.857133i
\(120\) −1.08272 1.87533i −0.0988388 0.171194i
\(121\) −2.43987 + 1.40866i −0.221807 + 0.128060i
\(122\) −1.43636 + 5.36056i −0.130042 + 0.485322i
\(123\) 0.384185 0.384185i 0.0346408 0.0346408i
\(124\) −8.71077 2.33404i −0.782251 0.209603i
\(125\) −1.65315 + 1.65315i −0.147862 + 0.147862i
\(126\) −3.93967 + 4.11243i −0.350974 + 0.366364i
\(127\) 3.63943 2.10123i 0.322947 0.186454i −0.329758 0.944065i \(-0.606967\pi\)
0.652705 + 0.757612i \(0.273634\pi\)
\(128\) 14.2463 + 14.2463i 1.25921 + 1.25921i
\(129\) −4.45382 7.71425i −0.392137 0.679202i
\(130\) 2.05668 0.154743i 0.180382 0.0135719i
\(131\) −11.9149 6.87908i −1.04101 0.601028i −0.120891 0.992666i \(-0.538575\pi\)
−0.920119 + 0.391638i \(0.871908\pi\)
\(132\) −5.72109 + 21.3514i −0.497957 + 1.85840i
\(133\) −10.5013 10.0601i −0.910576 0.872324i
\(134\) −5.60922 3.23848i −0.484562 0.279762i
\(135\) 0.253684 + 0.946761i 0.0218336 + 0.0814842i
\(136\) −13.3235 13.3235i −1.14248 1.14248i
\(137\) −9.75631 9.75631i −0.833538 0.833538i 0.154461 0.987999i \(-0.450636\pi\)
−0.987999 + 0.154461i \(0.950636\pi\)
\(138\) −7.50975 28.0268i −0.639272 2.38580i
\(139\) 12.9252 + 7.46236i 1.09630 + 0.632949i 0.935247 0.353997i \(-0.115178\pi\)
0.161053 + 0.986946i \(0.448511\pi\)
\(140\) −2.36852 0.580491i −0.200177 0.0490604i
\(141\) −1.66098 + 6.19888i −0.139880 + 0.522040i
\(142\) 2.95211 + 1.70440i 0.247735 + 0.143030i
\(143\) −7.81959 6.72524i −0.653907 0.562393i
\(144\) −1.56151 2.70461i −0.130126 0.225384i
\(145\) 1.17718 + 1.17718i 0.0977592 + 0.0977592i
\(146\) −28.5556 + 16.4866i −2.36328 + 1.36444i
\(147\) 0.591735 + 13.7839i 0.0488055 + 1.13688i
\(148\) 28.8121 28.8121i 2.36834 2.36834i
\(149\) 10.2136 + 2.73674i 0.836735 + 0.224202i 0.651650 0.758520i \(-0.274077\pi\)
0.185085 + 0.982723i \(0.440744\pi\)
\(150\) −16.7683 + 16.7683i −1.36912 + 1.36912i
\(151\) −1.16428 + 4.34514i −0.0947476 + 0.353603i −0.996981 0.0776451i \(-0.975260\pi\)
0.902233 + 0.431248i \(0.141927\pi\)
\(152\) 22.2463 12.8439i 1.80442 1.04178i
\(153\) −1.78330 3.08877i −0.144171 0.249712i
\(154\) 9.54769 + 15.7471i 0.769375 + 1.26893i
\(155\) 0.540738i 0.0434331i
\(156\) 27.7831 2.09039i 2.22443 0.167365i
\(157\) 11.2646 6.50360i 0.899010 0.519044i 0.0221312 0.999755i \(-0.492955\pi\)
0.876879 + 0.480711i \(0.159622\pi\)
\(158\) −2.41066 8.99670i −0.191782 0.715739i
\(159\) 15.6408i 1.24040i
\(160\) −0.0889558 + 0.154076i −0.00703257 + 0.0121808i
\(161\) −14.0312 7.70446i −1.10581 0.607196i
\(162\) 6.84642 + 25.5512i 0.537906 + 2.00749i
\(163\) 4.24621 15.8471i 0.332589 1.24124i −0.573870 0.818946i \(-0.694559\pi\)
0.906459 0.422293i \(-0.138775\pi\)
\(164\) 1.04396 + 0.279729i 0.0815199 + 0.0218432i
\(165\) −1.32543 −0.103185
\(166\) −14.4386 −1.12065
\(167\) 9.84852 + 2.63890i 0.762101 + 0.204204i 0.618879 0.785486i \(-0.287587\pi\)
0.143222 + 0.989691i \(0.454254\pi\)
\(168\) −23.6699 5.80114i −1.82617 0.447568i
\(169\) −4.74221 + 12.1042i −0.364786 + 0.931091i
\(170\) 1.15315 1.99731i 0.0884426 0.153187i
\(171\) 4.69669 1.25847i 0.359165 0.0962380i
\(172\) 8.85970 15.3455i 0.675546 1.17008i
\(173\) 7.48809 + 12.9698i 0.569309 + 0.986072i 0.996634 + 0.0819744i \(0.0261226\pi\)
−0.427325 + 0.904098i \(0.640544\pi\)
\(174\) 24.0141 + 24.0141i 1.82051 + 1.82051i
\(175\) 0.280619 + 13.0795i 0.0212128 + 0.988719i
\(176\) −9.75453 + 2.61372i −0.735276 + 0.197017i
\(177\) 1.38390 0.370814i 0.104020 0.0278721i
\(178\) 8.39897i 0.629529i
\(179\) 7.95325 + 4.59181i 0.594454 + 0.343208i 0.766857 0.641819i \(-0.221820\pi\)
−0.172403 + 0.985027i \(0.555153\pi\)
\(180\) 0.576554 0.576554i 0.0429738 0.0429738i
\(181\) −12.8202 −0.952919 −0.476459 0.879197i \(-0.658080\pi\)
−0.476459 + 0.879197i \(0.658080\pi\)
\(182\) 14.7545 17.9189i 1.09367 1.32824i
\(183\) −4.49527 −0.332300
\(184\) 19.9937 19.9937i 1.47395 1.47395i
\(185\) 2.11590 + 1.22162i 0.155564 + 0.0898150i
\(186\) 11.0309i 0.808828i
\(187\) −11.1400 + 2.98497i −0.814641 + 0.218282i
\(188\) −12.3310 + 3.30409i −0.899332 + 0.240975i
\(189\) 9.66915 + 5.30927i 0.703327 + 0.386192i
\(190\) 2.22328 + 2.22328i 0.161294 + 0.161294i
\(191\) 2.69581 + 4.66928i 0.195062 + 0.337857i 0.946921 0.321467i \(-0.104176\pi\)
−0.751859 + 0.659324i \(0.770843\pi\)
\(192\) −8.77276 + 15.1949i −0.633120 + 1.09660i
\(193\) 3.22754 0.864817i 0.232323 0.0622509i −0.140779 0.990041i \(-0.544961\pi\)
0.373102 + 0.927790i \(0.378294\pi\)
\(194\) −3.29650 + 5.70971i −0.236675 + 0.409933i
\(195\) 0.552245 + 1.57672i 0.0395471 + 0.112911i
\(196\) −23.1574 + 14.7291i −1.65410 + 1.05208i
\(197\) 3.67856 + 0.985668i 0.262087 + 0.0702259i 0.387470 0.921882i \(-0.373349\pi\)
−0.125383 + 0.992108i \(0.540016\pi\)
\(198\) −6.15733 −0.437583
\(199\) −22.2669 −1.57846 −0.789229 0.614099i \(-0.789520\pi\)
−0.789229 + 0.614099i \(0.789520\pi\)
\(200\) −22.3216 5.98106i −1.57838 0.422925i
\(201\) 1.35787 5.06762i 0.0957765 0.357443i
\(202\) −8.67969 32.3931i −0.610701 2.27917i
\(203\) 18.7314 0.401879i 1.31469 0.0282064i
\(204\) 15.5776 26.9812i 1.09065 1.88906i
\(205\) 0.0648061i 0.00452626i
\(206\) −5.05430 18.8629i −0.352150 1.31424i
\(207\) 4.63510 2.67608i 0.322162 0.186000i
\(208\) 7.17351 + 10.5149i 0.497394 + 0.729075i
\(209\) 15.7230i 1.08759i
\(210\) −0.0639836 2.98225i −0.00441528 0.205795i
\(211\) −7.76031 13.4412i −0.534242 0.925334i −0.999200 0.0400009i \(-0.987264\pi\)
0.464958 0.885333i \(-0.346069\pi\)
\(212\) −26.9449 + 15.5566i −1.85058 + 1.06843i
\(213\) −0.714640 + 2.66707i −0.0489663 + 0.182745i
\(214\) −7.18983 + 7.18983i −0.491487 + 0.491487i
\(215\) 1.02628 + 0.274992i 0.0699919 + 0.0187543i
\(216\) −13.7780 + 13.7780i −0.937473 + 0.937473i
\(217\) −4.39446 4.20986i −0.298315 0.285784i
\(218\) −29.6846 + 17.1384i −2.01050 + 1.16076i
\(219\) −18.8858 18.8858i −1.27618 1.27618i
\(220\) −1.31830 2.28336i −0.0888795 0.153944i
\(221\) 8.19242 + 12.0084i 0.551082 + 0.807771i
\(222\) 43.1639 + 24.9207i 2.89697 + 1.67257i
\(223\) 1.32002 4.92639i 0.0883952 0.329895i −0.907540 0.419965i \(-0.862042\pi\)
0.995935 + 0.0900697i \(0.0287090\pi\)
\(224\) 0.559586 + 1.92247i 0.0373889 + 0.128450i
\(225\) −3.78820 2.18712i −0.252547 0.145808i
\(226\) 2.90572 + 10.8443i 0.193286 + 0.721352i
\(227\) −7.63959 7.63959i −0.507057 0.507057i 0.406565 0.913622i \(-0.366727\pi\)
−0.913622 + 0.406565i \(0.866727\pi\)
\(228\) 30.0337 + 30.0337i 1.98903 + 1.98903i
\(229\) 3.42227 + 12.7721i 0.226150 + 0.844002i 0.981941 + 0.189189i \(0.0605860\pi\)
−0.755791 + 0.654813i \(0.772747\pi\)
\(230\) 2.99723 + 1.73045i 0.197631 + 0.114103i
\(231\) −10.3190 + 10.7715i −0.678940 + 0.708712i
\(232\) −8.56558 + 31.9672i −0.562358 + 2.09875i
\(233\) −10.5909 6.11465i −0.693832 0.400584i 0.111214 0.993796i \(-0.464526\pi\)
−0.805046 + 0.593212i \(0.797859\pi\)
\(234\) 2.56547 + 7.32470i 0.167710 + 0.478830i
\(235\) −0.382736 0.662918i −0.0249670 0.0432440i
\(236\) 2.01526 + 2.01526i 0.131182 + 0.131182i
\(237\) 6.53370 3.77223i 0.424409 0.245033i
\(238\) −7.25401 24.9213i −0.470208 1.61541i
\(239\) 4.36940 4.36940i 0.282633 0.282633i −0.551525 0.834158i \(-0.685954\pi\)
0.834158 + 0.551525i \(0.185954\pi\)
\(240\) 1.58004 + 0.423370i 0.101991 + 0.0273284i
\(241\) −8.64343 + 8.64343i −0.556772 + 0.556772i −0.928387 0.371615i \(-0.878804\pi\)
0.371615 + 0.928387i \(0.378804\pi\)
\(242\) 1.77427 6.62165i 0.114054 0.425656i
\(243\) −7.72400 + 4.45945i −0.495495 + 0.286074i
\(244\) −4.47107 7.74412i −0.286231 0.495767i
\(245\) −1.21248 1.11266i −0.0774622 0.0710851i
\(246\) 1.32203i 0.0842896i
\(247\) −18.7040 + 6.55106i −1.19010 + 0.416834i
\(248\) 9.30940 5.37479i 0.591148 0.341299i
\(249\) −3.02698 11.2968i −0.191827 0.715908i
\(250\) 5.68870i 0.359785i
\(251\) 13.4971 23.3777i 0.851929 1.47558i −0.0275356 0.999621i \(-0.508766\pi\)
0.879465 0.475964i \(-0.157901\pi\)
\(252\) −0.196831 9.17422i −0.0123992 0.577922i
\(253\) −4.47933 16.7171i −0.281613 1.05099i
\(254\) −2.64658 + 9.87716i −0.166061 + 0.619748i
\(255\) 1.80447 + 0.483505i 0.113000 + 0.0302783i
\(256\) −31.2193 −1.95121
\(257\) 19.2922 1.20341 0.601707 0.798717i \(-0.294487\pi\)
0.601707 + 0.798717i \(0.294487\pi\)
\(258\) 20.9359 + 5.60977i 1.30341 + 0.349249i
\(259\) 26.4009 7.68471i 1.64047 0.477505i
\(260\) −2.16698 + 2.51960i −0.134391 + 0.156259i
\(261\) −3.13221 + 5.42515i −0.193879 + 0.335808i
\(262\) 32.3362 8.66447i 1.99774 0.535293i
\(263\) 9.95932 17.2501i 0.614118 1.06368i −0.376420 0.926449i \(-0.622845\pi\)
0.990539 0.137235i \(-0.0438215\pi\)
\(264\) −13.1744 22.8187i −0.810829 1.40440i
\(265\) −1.31918 1.31918i −0.0810367 0.0810367i
\(266\) 35.3772 0.759011i 2.16911 0.0465379i
\(267\) −6.57142 + 1.76081i −0.402164 + 0.107760i
\(268\) 10.0807 2.70111i 0.615776 0.164997i
\(269\) 26.2749i 1.60201i −0.598657 0.801006i \(-0.704299\pi\)
0.598657 0.801006i \(-0.295701\pi\)
\(270\) −2.06544 1.19248i −0.125699 0.0725722i
\(271\) 3.79858 3.79858i 0.230747 0.230747i −0.582257 0.813005i \(-0.697830\pi\)
0.813005 + 0.582257i \(0.197830\pi\)
\(272\) 14.2335 0.863031
\(273\) 17.1131 + 7.78738i 1.03573 + 0.471314i
\(274\) 33.5727 2.02820
\(275\) −10.0017 + 10.0017i −0.603127 + 0.603127i
\(276\) 40.4888 + 23.3762i 2.43714 + 1.40708i
\(277\) 6.51116i 0.391218i 0.980682 + 0.195609i \(0.0626683\pi\)
−0.980682 + 0.195609i \(0.937332\pi\)
\(278\) −35.0780 + 9.39913i −2.10384 + 0.563722i
\(279\) 1.96542 0.526633i 0.117667 0.0315287i
\(280\) 2.48565 1.50709i 0.148546 0.0900658i
\(281\) −11.1540 11.1540i −0.665390 0.665390i 0.291255 0.956645i \(-0.405927\pi\)
−0.956645 + 0.291255i \(0.905927\pi\)
\(282\) −7.80773 13.5234i −0.464944 0.805306i
\(283\) 1.18900 2.05940i 0.0706784 0.122419i −0.828520 0.559959i \(-0.810817\pi\)
0.899199 + 0.437540i \(0.144150\pi\)
\(284\) −5.30543 + 1.42159i −0.314819 + 0.0843556i
\(285\) −1.27341 + 2.20561i −0.0754303 + 0.130649i
\(286\) 25.0253 1.88289i 1.47978 0.111338i
\(287\) 0.526665 + 0.504541i 0.0310881 + 0.0297821i
\(288\) −0.646655 0.173271i −0.0381045 0.0102101i
\(289\) −0.744846 −0.0438145
\(290\) −4.05081 −0.237872
\(291\) −5.15842 1.38219i −0.302392 0.0810256i
\(292\) 13.7509 51.3192i 0.804712 3.00323i
\(293\) 8.69014 + 32.4321i 0.507684 + 1.89470i 0.442361 + 0.896837i \(0.354141\pi\)
0.0653221 + 0.997864i \(0.479193\pi\)
\(294\) −24.7342 22.6980i −1.44253 1.32377i
\(295\) −0.0854457 + 0.147996i −0.00497484 + 0.00861668i
\(296\) 48.5701i 2.82308i
\(297\) 3.08678 + 11.5200i 0.179113 + 0.668459i
\(298\) −22.2820 + 12.8645i −1.29076 + 0.745220i
\(299\) −18.0201 + 12.2938i −1.04213 + 0.710968i
\(300\) 38.2101i 2.20606i
\(301\) 10.2248 6.19946i 0.589348 0.357331i
\(302\) −5.47288 9.47931i −0.314929 0.545473i
\(303\) 23.5249 13.5821i 1.35147 0.780272i
\(304\) −5.02227 + 18.7434i −0.288047 + 1.07501i
\(305\) 0.379141 0.379141i 0.0217095 0.0217095i
\(306\) 8.38271 + 2.24614i 0.479208 + 0.128403i
\(307\) −19.1548 + 19.1548i −1.09322 + 1.09322i −0.0980380 + 0.995183i \(0.531257\pi\)
−0.995183 + 0.0980380i \(0.968743\pi\)
\(308\) −28.8198 7.06331i −1.64216 0.402469i
\(309\) 13.6989 7.90904i 0.779301 0.449930i
\(310\) 0.930374 + 0.930374i 0.0528417 + 0.0528417i
\(311\) 16.5705 + 28.7009i 0.939627 + 1.62748i 0.766168 + 0.642640i \(0.222161\pi\)
0.173458 + 0.984841i \(0.444506\pi\)
\(312\) −21.6558 + 25.1796i −1.22602 + 1.42552i
\(313\) −1.14049 0.658460i −0.0644641 0.0372183i 0.467422 0.884035i \(-0.345183\pi\)
−0.531886 + 0.846816i \(0.678516\pi\)
\(314\) −8.19154 + 30.5712i −0.462275 + 1.72523i
\(315\) 0.528303 0.153777i 0.0297665 0.00866436i
\(316\) 12.9971 + 7.50385i 0.731142 + 0.422125i
\(317\) 2.24279 + 8.37022i 0.125968 + 0.470118i 0.999872 0.0159793i \(-0.00508657\pi\)
−0.873904 + 0.486098i \(0.838420\pi\)
\(318\) −26.9110 26.9110i −1.50909 1.50909i
\(319\) 14.3237 + 14.3237i 0.801972 + 0.801972i
\(320\) −0.541655 2.02148i −0.0302794 0.113004i
\(321\) −7.13269 4.11806i −0.398108 0.229848i
\(322\) 37.3976 10.8856i 2.08409 0.606630i
\(323\) −5.73562 + 21.4056i −0.319139 + 1.19104i
\(324\) −36.9125 21.3114i −2.05069 1.18397i
\(325\) 16.0652 + 7.73070i 0.891138 + 0.428822i
\(326\) 19.9600 + 34.5718i 1.10548 + 1.91475i
\(327\) −19.6325 19.6325i −1.08568 1.08568i
\(328\) −1.11571 + 0.644155i −0.0616047 + 0.0355675i
\(329\) −8.36714 2.05067i −0.461296 0.113057i
\(330\) 2.28049 2.28049i 0.125537 0.125537i
\(331\) −22.5870 6.05217i −1.24149 0.332657i −0.422449 0.906387i \(-0.638829\pi\)
−0.819045 + 0.573729i \(0.805496\pi\)
\(332\) 16.4507 16.4507i 0.902848 0.902848i
\(333\) −2.37950 + 8.88041i −0.130396 + 0.486644i
\(334\) −21.4854 + 12.4046i −1.17563 + 0.678749i
\(335\) 0.312889 + 0.541940i 0.0170950 + 0.0296094i
\(336\) 15.7419 9.54454i 0.858789 0.520697i
\(337\) 5.08165i 0.276815i −0.990375 0.138407i \(-0.955802\pi\)
0.990375 0.138407i \(-0.0441984\pi\)
\(338\) −12.6667 28.9853i −0.688980 1.57659i
\(339\) −7.87549 + 4.54691i −0.427738 + 0.246955i
\(340\) 0.961805 + 3.58951i 0.0521612 + 0.194668i
\(341\) 6.57961i 0.356306i
\(342\) −5.91567 + 10.2462i −0.319883 + 0.554053i
\(343\) −18.4819 + 1.19104i −0.997930 + 0.0643101i
\(344\) 5.46668 + 20.4019i 0.294744 + 1.10000i
\(345\) −0.725562 + 2.70783i −0.0390630 + 0.145785i
\(346\) −35.1990 9.43155i −1.89231 0.507043i
\(347\) 0.683981 0.0367180 0.0183590 0.999831i \(-0.494156\pi\)
0.0183590 + 0.999831i \(0.494156\pi\)
\(348\) −54.7214 −2.93337
\(349\) 5.07510 + 1.35987i 0.271664 + 0.0727921i 0.392079 0.919932i \(-0.371756\pi\)
−0.120415 + 0.992724i \(0.538423\pi\)
\(350\) −22.9870 22.0213i −1.22870 1.17709i
\(351\) 12.4180 8.47186i 0.662822 0.452194i
\(352\) −1.08240 + 1.87477i −0.0576920 + 0.0999256i
\(353\) 20.9733 5.61978i 1.11630 0.299111i 0.346913 0.937897i \(-0.387230\pi\)
0.769384 + 0.638787i \(0.220563\pi\)
\(354\) −1.74307 + 3.01909i −0.0926434 + 0.160463i
\(355\) −0.164672 0.285221i −0.00873991 0.0151380i
\(356\) −9.56943 9.56943i −0.507179 0.507179i
\(357\) 17.9778 10.9002i 0.951486 0.576901i
\(358\) −21.5846 + 5.78356i −1.14078 + 0.305671i
\(359\) 13.7143 3.67473i 0.723812 0.193945i 0.121940 0.992537i \(-0.461088\pi\)
0.601872 + 0.798593i \(0.294422\pi\)
\(360\) 0.971926i 0.0512250i
\(361\) −9.70976 5.60593i −0.511040 0.295049i
\(362\) 22.0580 22.0580i 1.15934 1.15934i
\(363\) 5.55279 0.291446
\(364\) 3.60543 + 37.2266i 0.188976 + 1.95121i
\(365\) 3.18574 0.166749
\(366\) 7.73439 7.73439i 0.404283 0.404283i
\(367\) 2.60256 + 1.50259i 0.135853 + 0.0784346i 0.566386 0.824140i \(-0.308341\pi\)
−0.430533 + 0.902575i \(0.641674\pi\)
\(368\) 21.3592i 1.11342i
\(369\) −0.235551 + 0.0631157i −0.0122623 + 0.00328567i
\(370\) −5.74241 + 1.53867i −0.298534 + 0.0799918i
\(371\) −20.9910 + 0.450359i −1.08980 + 0.0233815i
\(372\) 12.5682 + 12.5682i 0.651630 + 0.651630i
\(373\) 13.0925 + 22.6769i 0.677906 + 1.17417i 0.975610 + 0.219509i \(0.0704456\pi\)
−0.297705 + 0.954658i \(0.596221\pi\)
\(374\) 14.0313 24.3030i 0.725543 1.25668i
\(375\) 4.45088 1.19261i 0.229843 0.0615861i
\(376\) 7.60858 13.1784i 0.392383 0.679627i
\(377\) 11.0713 23.0073i 0.570200 1.18494i
\(378\) −25.7713 + 7.50144i −1.32553 + 0.385833i
\(379\) −5.54850 1.48672i −0.285007 0.0763675i 0.113483 0.993540i \(-0.463799\pi\)
−0.398491 + 0.917172i \(0.630466\pi\)
\(380\) −5.06622 −0.259892
\(381\) −8.28280 −0.424341
\(382\) −12.6721 3.39548i −0.648361 0.173728i
\(383\) −4.20381 + 15.6888i −0.214804 + 0.801661i 0.771431 + 0.636313i \(0.219541\pi\)
−0.986235 + 0.165348i \(0.947125\pi\)
\(384\) −10.2775 38.3563i −0.524474 1.95736i
\(385\) −0.0381642 1.77882i −0.00194503 0.0906569i
\(386\) −4.06521 + 7.04116i −0.206914 + 0.358385i
\(387\) 3.99805i 0.203232i
\(388\) −2.74951 10.2613i −0.139585 0.520939i
\(389\) −8.04726 + 4.64609i −0.408012 + 0.235566i −0.689935 0.723871i \(-0.742361\pi\)
0.281923 + 0.959437i \(0.409028\pi\)
\(390\) −3.66301 1.76267i −0.185484 0.0892562i
\(391\) 24.3930i 1.23361i
\(392\) 7.10398 31.9336i 0.358805 1.61289i
\(393\) 13.5583 + 23.4836i 0.683925 + 1.18459i
\(394\) −8.02510 + 4.63330i −0.404299 + 0.233422i
\(395\) −0.232908 + 0.869225i −0.0117189 + 0.0437355i
\(396\) 7.01540 7.01540i 0.352537 0.352537i
\(397\) 18.2054 + 4.87812i 0.913703 + 0.244826i 0.684892 0.728645i \(-0.259849\pi\)
0.228811 + 0.973471i \(0.426516\pi\)
\(398\) 38.3116 38.3116i 1.92039 1.92039i
\(399\) 8.01052 + 27.5202i 0.401028 + 1.37774i
\(400\) 15.1178 8.72826i 0.755890 0.436413i
\(401\) −26.4901 26.4901i −1.32285 1.32285i −0.911458 0.411393i \(-0.865042\pi\)
−0.411393 0.911458i \(-0.634958\pi\)
\(402\) 6.38287 + 11.0555i 0.318349 + 0.551396i
\(403\) −7.82703 + 2.74142i −0.389892 + 0.136560i
\(404\) 46.7965 + 27.0180i 2.32822 + 1.34420i
\(405\) 0.661474 2.46866i 0.0328689 0.122668i
\(406\) −31.5371 + 32.9201i −1.56516 + 1.63379i
\(407\) 25.7459 + 14.8644i 1.27618 + 0.736801i
\(408\) 9.61181 + 35.8718i 0.475856 + 1.77592i
\(409\) 14.4159 + 14.4159i 0.712820 + 0.712820i 0.967124 0.254304i \(-0.0818464\pi\)
−0.254304 + 0.967124i \(0.581846\pi\)
\(410\) −0.111503 0.111503i −0.00550674 0.00550674i
\(411\) 7.03836 + 26.2675i 0.347177 + 1.29568i
\(412\) 27.2502 + 15.7329i 1.34252 + 0.775106i
\(413\) 0.537506 + 1.84661i 0.0264489 + 0.0908657i
\(414\) −3.37062 + 12.5793i −0.165657 + 0.618241i
\(415\) 1.20810 + 0.697498i 0.0593034 + 0.0342388i
\(416\) 2.68119 + 0.506481i 0.131456 + 0.0248323i
\(417\) −14.7079 25.4748i −0.720249 1.24751i
\(418\) 27.0525 + 27.0525i 1.32318 + 1.32318i
\(419\) −9.48347 + 5.47529i −0.463298 + 0.267485i −0.713430 0.700727i \(-0.752859\pi\)
0.250132 + 0.968212i \(0.419526\pi\)
\(420\) 3.47075 + 3.32495i 0.169355 + 0.162241i
\(421\) −7.99908 + 7.99908i −0.389852 + 0.389852i −0.874634 0.484783i \(-0.838899\pi\)
0.484783 + 0.874634i \(0.338899\pi\)
\(422\) 36.4786 + 9.77441i 1.77575 + 0.475811i
\(423\) 2.03676 2.03676i 0.0990305 0.0990305i
\(424\) 9.59886 35.8235i 0.466162 1.73974i
\(425\) 17.2651 9.96801i 0.837480 0.483519i
\(426\) −3.35928 5.81845i −0.162758 0.281905i
\(427\) −0.129436 6.03295i −0.00626384 0.291955i
\(428\) 16.3836i 0.791930i
\(429\) 6.71962 + 19.1852i 0.324426 + 0.926271i
\(430\) −2.23892 + 1.29264i −0.107970 + 0.0623368i
\(431\) −4.52862 16.9010i −0.218136 0.814095i −0.985039 0.172332i \(-0.944870\pi\)
0.766903 0.641763i \(-0.221797\pi\)
\(432\) 14.7190i 0.708166i
\(433\) −3.05668 + 5.29433i −0.146895 + 0.254429i −0.930078 0.367361i \(-0.880261\pi\)
0.783183 + 0.621791i \(0.213595\pi\)
\(434\) 14.8043 0.317623i 0.710628 0.0152464i
\(435\) −0.849234 3.16938i −0.0407176 0.151960i
\(436\) 14.2946 53.3482i 0.684588 2.55492i
\(437\) −32.1219 8.60704i −1.53660 0.411731i
\(438\) 64.9883 3.10526
\(439\) −15.7233 −0.750434 −0.375217 0.926937i \(-0.622432\pi\)
−0.375217 + 0.926937i \(0.622432\pi\)
\(440\) 3.03574 + 0.813425i 0.144723 + 0.0387785i
\(441\) 2.86333 5.49062i 0.136349 0.261458i
\(442\) −34.7568 6.56560i −1.65321 0.312294i
\(443\) 5.63934 9.76763i 0.267933 0.464074i −0.700395 0.713756i \(-0.746993\pi\)
0.968328 + 0.249682i \(0.0803260\pi\)
\(444\) −77.5727 + 20.7855i −3.68144 + 0.986438i
\(445\) 0.405738 0.702758i 0.0192338 0.0333139i
\(446\) 6.20498 + 10.7473i 0.293814 + 0.508901i
\(447\) −14.7366 14.7366i −0.697016 0.697016i
\(448\) −20.6451 11.3361i −0.975392 0.535582i
\(449\) 4.69271 1.25741i 0.221463 0.0593407i −0.146381 0.989228i \(-0.546763\pi\)
0.367844 + 0.929888i \(0.380096\pi\)
\(450\) 10.2809 2.75476i 0.484647 0.129861i
\(451\) 0.788550i 0.0371313i
\(452\) −15.6662 9.04488i −0.736876 0.425435i
\(453\) 6.26931 6.26931i 0.294558 0.294558i
\(454\) 26.2888 1.23379
\(455\) −2.10016 + 0.786550i −0.0984571 + 0.0368740i
\(456\) −50.6293 −2.37094
\(457\) −6.30355 + 6.30355i −0.294868 + 0.294868i −0.839000 0.544132i \(-0.816859\pi\)
0.544132 + 0.839000i \(0.316859\pi\)
\(458\) −27.8634 16.0869i −1.30197 0.751693i
\(459\) 16.8096i 0.784605i
\(460\) −5.38652 + 1.44331i −0.251148 + 0.0672948i
\(461\) −11.4373 + 3.06461i −0.532688 + 0.142733i −0.515129 0.857113i \(-0.672256\pi\)
−0.0175587 + 0.999846i \(0.505589\pi\)
\(462\) −0.778541 36.2875i −0.0362210 1.68825i
\(463\) −19.6291 19.6291i −0.912240 0.912240i 0.0842083 0.996448i \(-0.473164\pi\)
−0.996448 + 0.0842083i \(0.973164\pi\)
\(464\) −12.4999 21.6505i −0.580294 1.00510i
\(465\) −0.532883 + 0.922980i −0.0247118 + 0.0428022i
\(466\) 28.7429 7.70164i 1.33149 0.356772i
\(467\) −12.2870 + 21.2818i −0.568576 + 0.984803i 0.428131 + 0.903717i \(0.359172\pi\)
−0.996707 + 0.0810863i \(0.974161\pi\)
\(468\) −11.2684 5.42246i −0.520884 0.250653i
\(469\) 6.84019 + 1.67643i 0.315851 + 0.0774104i
\(470\) 1.79911 + 0.482071i 0.0829870 + 0.0222363i
\(471\) −25.6365 −1.18127
\(472\) −3.39723 −0.156370
\(473\) 12.4876 + 3.34605i 0.574182 + 0.153852i
\(474\) −4.75127 + 17.7320i −0.218233 + 0.814458i
\(475\) 7.03441 + 26.2528i 0.322761 + 1.20456i
\(476\) 36.6591 + 20.1293i 1.68027 + 0.922626i
\(477\) 3.51006 6.07960i 0.160715 0.278366i
\(478\) 15.0357i 0.687715i
\(479\) 5.47147 + 20.4198i 0.249998 + 0.933004i 0.970805 + 0.239869i \(0.0771045\pi\)
−0.720808 + 0.693135i \(0.756229\pi\)
\(480\) 0.303675 0.175327i 0.0138608 0.00800255i
\(481\) 6.95542 36.8204i 0.317140 1.67886i
\(482\) 29.7431i 1.35476i
\(483\) 16.3572 + 26.9780i 0.744278 + 1.22754i
\(484\) 5.52290 + 9.56595i 0.251041 + 0.434816i
\(485\) 0.551650 0.318495i 0.0250491 0.0144621i
\(486\) 5.61686 20.9624i 0.254786 0.950873i
\(487\) −10.9256 + 10.9256i −0.495085 + 0.495085i −0.909904 0.414819i \(-0.863845\pi\)
0.414819 + 0.909904i \(0.363845\pi\)
\(488\) 10.2959 + 2.75877i 0.466073 + 0.124884i
\(489\) −22.8647 + 22.8647i −1.03398 + 1.03398i
\(490\) 4.00054 0.171741i 0.180726 0.00775845i
\(491\) 19.0691 11.0096i 0.860578 0.496855i −0.00362809 0.999993i \(-0.501155\pi\)
0.864206 + 0.503139i \(0.167822\pi\)
\(492\) −1.50627 1.50627i −0.0679077 0.0679077i
\(493\) −14.2754 24.7257i −0.642930 1.11359i
\(494\) 20.9098 43.4528i 0.940777 1.95504i
\(495\) 0.515196 + 0.297449i 0.0231563 + 0.0133693i
\(496\) −2.10167 + 7.84352i −0.0943676 + 0.352185i
\(497\) −3.59997 0.882300i −0.161481 0.0395766i
\(498\) 24.6450 + 14.2288i 1.10437 + 0.637608i
\(499\) −7.46375 27.8551i −0.334123 1.24697i −0.904816 0.425802i \(-0.859992\pi\)
0.570693 0.821164i \(-0.306675\pi\)
\(500\) 6.48147 + 6.48147i 0.289860 + 0.289860i
\(501\) −14.2098 14.2098i −0.634845 0.634845i
\(502\) 17.0001 + 63.4453i 0.758753 + 2.83170i
\(503\) 7.32350 + 4.22823i 0.326539 + 0.188527i 0.654303 0.756232i \(-0.272962\pi\)
−0.327764 + 0.944759i \(0.606295\pi\)
\(504\) 7.89863 + 7.56682i 0.351833 + 0.337053i
\(505\) −0.838597 + 3.12969i −0.0373171 + 0.139269i
\(506\) 36.4698 + 21.0558i 1.62128 + 0.936046i
\(507\) 20.0228 15.9872i 0.889243 0.710016i
\(508\) −8.23822 14.2690i −0.365512 0.633085i
\(509\) −14.3892 14.3892i −0.637789 0.637789i 0.312221 0.950010i \(-0.398927\pi\)
−0.950010 + 0.312221i \(0.898927\pi\)
\(510\) −3.93660 + 2.27280i −0.174315 + 0.100641i
\(511\) 24.8022 25.8898i 1.09718 1.14530i
\(512\) 25.2221 25.2221i 1.11467 1.11467i
\(513\) 22.1358 + 5.93126i 0.977317 + 0.261871i
\(514\) −33.1934 + 33.1934i −1.46410 + 1.46410i
\(515\) −0.488326 + 1.82246i −0.0215182 + 0.0803071i
\(516\) −30.2450 + 17.4620i −1.33146 + 0.768721i
\(517\) −4.65707 8.06628i −0.204818 0.354754i
\(518\) −32.2024 + 58.6465i −1.41489 + 2.57678i
\(519\) 29.5172i 1.29566i
\(520\) −0.297211 3.95020i −0.0130336 0.173228i
\(521\) −15.2229 + 8.78895i −0.666928 + 0.385051i −0.794911 0.606725i \(-0.792483\pi\)
0.127984 + 0.991776i \(0.459149\pi\)
\(522\) −3.94515 14.7235i −0.172674 0.644429i
\(523\) 28.3430i 1.23935i −0.784857 0.619677i \(-0.787264\pi\)
0.784857 0.619677i \(-0.212736\pi\)
\(524\) −26.9706 + 46.7145i −1.17822 + 2.04073i
\(525\) 12.4105 22.6018i 0.541640 0.986425i
\(526\) 12.5442 + 46.8154i 0.546951 + 2.04125i
\(527\) −2.40018 + 8.95760i −0.104554 + 0.390199i
\(528\) 19.2257 + 5.15150i 0.836689 + 0.224190i
\(529\) −13.6048 −0.591514
\(530\) 4.53947 0.197182
\(531\) −0.621139 0.166434i −0.0269552 0.00722261i
\(532\) −39.4425 + 41.1721i −1.71005 + 1.78504i
\(533\) 0.938050 0.328552i 0.0406315 0.0142312i
\(534\) 8.27696 14.3361i 0.358179 0.620384i
\(535\) 0.948914 0.254261i 0.0410251 0.0109926i
\(536\) −6.22006 + 10.7735i −0.268666 + 0.465343i
\(537\) −9.05021 15.6754i −0.390545 0.676444i
\(538\) 45.2077 + 45.2077i 1.94904 + 1.94904i
\(539\) −14.7532 13.5386i −0.635465 0.583150i
\(540\) 3.71194 0.994611i 0.159736 0.0428012i
\(541\) 12.8053 3.43118i 0.550545 0.147518i 0.0271858 0.999630i \(-0.491345\pi\)
0.523359 + 0.852112i \(0.324679\pi\)
\(542\) 13.0714i 0.561464i
\(543\) 21.8827 + 12.6340i 0.939075 + 0.542175i
\(544\) 2.15750 2.15750i 0.0925019 0.0925019i
\(545\) 3.31170 0.141857
\(546\) −42.8428 + 16.0454i −1.83350 + 0.686682i
\(547\) −28.5769 −1.22186 −0.610930 0.791685i \(-0.709204\pi\)
−0.610930 + 0.791685i \(0.709204\pi\)
\(548\) −38.2513 + 38.2513i −1.63401 + 1.63401i
\(549\) 1.74731 + 1.00881i 0.0745736 + 0.0430551i
\(550\) 34.4172i 1.46756i
\(551\) 37.5971 10.0741i 1.60169 0.429172i
\(552\) −53.8302 + 14.4238i −2.29117 + 0.613916i
\(553\) 5.25072 + 8.66005i 0.223283 + 0.368263i
\(554\) −11.2029 11.2029i −0.475964 0.475964i
\(555\) −2.40774 4.17032i −0.102203 0.177020i
\(556\) 29.2575 50.6754i 1.24079 2.14912i
\(557\) −42.3739 + 11.3540i −1.79544 + 0.481086i −0.993251 0.115987i \(-0.962997\pi\)
−0.802187 + 0.597073i \(0.796330\pi\)
\(558\) −2.47553 + 4.28774i −0.104797 + 0.181514i
\(559\) −1.22259 16.2493i −0.0517100 0.687272i
\(560\) −0.522697 + 2.13271i −0.0220880 + 0.0901235i
\(561\) 21.9564 + 5.88321i 0.927001 + 0.248389i
\(562\) 38.3822 1.61906
\(563\) −6.62349 −0.279147 −0.139573 0.990212i \(-0.544573\pi\)
−0.139573 + 0.990212i \(0.544573\pi\)
\(564\) 24.3038 + 6.51218i 1.02337 + 0.274212i
\(565\) 0.280739 1.04773i 0.0118108 0.0440785i
\(566\) 1.49759 + 5.58907i 0.0629482 + 0.234926i
\(567\) −14.9124 24.5951i −0.626262 1.03290i
\(568\) 3.27360 5.67003i 0.137357 0.237909i
\(569\) 0.438350i 0.0183766i 0.999958 + 0.00918829i \(0.00292477\pi\)
−0.999958 + 0.00918829i \(0.997075\pi\)
\(570\) −1.60391 5.98587i −0.0671804 0.250721i
\(571\) −1.04982 + 0.606116i −0.0439338 + 0.0253652i −0.521806 0.853064i \(-0.674742\pi\)
0.477872 + 0.878429i \(0.341408\pi\)
\(572\) −26.3675 + 30.6580i −1.10248 + 1.28188i
\(573\) 10.6266i 0.443932i
\(574\) −1.77425 + 0.0380663i −0.0740560 + 0.00158886i
\(575\) 14.9583 + 25.9085i 0.623804 + 1.08046i
\(576\) 6.81996 3.93751i 0.284165 0.164063i
\(577\) −0.402507 + 1.50218i −0.0167566 + 0.0625365i −0.973798 0.227415i \(-0.926973\pi\)
0.957041 + 0.289952i \(0.0936392\pi\)
\(578\) 1.28155 1.28155i 0.0533057 0.0533057i
\(579\) −6.36131 1.70451i −0.264367 0.0708369i
\(580\) 4.61532 4.61532i 0.191641 0.191641i
\(581\) 15.0740 4.38769i 0.625373 0.182032i
\(582\) 11.2535 6.49723i 0.466474 0.269319i
\(583\) −16.0516 16.0516i −0.664788 0.664788i
\(584\) 31.6653 + 54.8460i 1.31032 + 2.26954i
\(585\) 0.139183 0.736805i 0.00575452 0.0304631i
\(586\) −70.7533 40.8495i −2.92279 1.68748i
\(587\) 4.96434 18.5272i 0.204900 0.764698i −0.784580 0.620028i \(-0.787121\pi\)
0.989480 0.144670i \(-0.0462121\pi\)
\(588\) 54.0422 2.32000i 2.22866 0.0956752i
\(589\) −10.9489 6.32137i −0.451143 0.260467i
\(590\) −0.107622 0.401652i −0.00443074 0.0165357i
\(591\) −5.30755 5.30755i −0.218323 0.218323i
\(592\) −25.9436 25.9436i −1.06627 1.06627i
\(593\) −1.95948 7.31288i −0.0804662 0.300304i 0.913951 0.405825i \(-0.133016\pi\)
−0.994417 + 0.105521i \(0.966349\pi\)
\(594\) −25.1319 14.5099i −1.03118 0.595349i
\(595\) −0.596939 + 2.43564i −0.0244721 + 0.0998514i
\(596\) 10.7299 40.0444i 0.439512 1.64028i
\(597\) 38.0071 + 21.9434i 1.55553 + 0.898084i
\(598\) 9.85253 52.1570i 0.402900 2.13286i
\(599\) 18.9239 + 32.7771i 0.773208 + 1.33924i 0.935796 + 0.352542i \(0.114683\pi\)
−0.162588 + 0.986694i \(0.551984\pi\)
\(600\) 32.2063 + 32.2063i 1.31482 + 1.31482i
\(601\) 20.0340 11.5666i 0.817205 0.471813i −0.0322469 0.999480i \(-0.510266\pi\)
0.849452 + 0.527667i \(0.176933\pi\)
\(602\) −6.92586 + 28.2590i −0.282277 + 1.15175i
\(603\) −1.66506 + 1.66506i −0.0678066 + 0.0678066i
\(604\) 17.0359 + 4.56475i 0.693181 + 0.185737i
\(605\) −0.468335 + 0.468335i −0.0190405 + 0.0190405i
\(606\) −17.1072 + 63.8449i −0.694933 + 2.59352i
\(607\) −8.49783 + 4.90622i −0.344916 + 0.199137i −0.662444 0.749112i \(-0.730481\pi\)
0.317528 + 0.948249i \(0.397147\pi\)
\(608\) 2.07983 + 3.60238i 0.0843483 + 0.146096i
\(609\) −32.3685 17.7733i −1.31164 0.720212i
\(610\) 1.30467i 0.0528246i
\(611\) −7.65517 + 8.90084i −0.309695 + 0.360089i
\(612\) −12.1101 + 6.99175i −0.489520 + 0.282625i
\(613\) 9.62949 + 35.9377i 0.388931 + 1.45151i 0.831875 + 0.554962i \(0.187267\pi\)
−0.442944 + 0.896549i \(0.646066\pi\)
\(614\) 65.9140i 2.66007i
\(615\) 0.0638647 0.110617i 0.00257527 0.00446050i
\(616\) 30.2450 18.3380i 1.21860 0.738859i
\(617\) −2.10572 7.85866i −0.0847732 0.316378i 0.910498 0.413514i \(-0.135699\pi\)
−0.995271 + 0.0971357i \(0.969032\pi\)
\(618\) −9.96175 + 37.1778i −0.400720 + 1.49551i
\(619\) 44.4523 + 11.9110i 1.78669 + 0.478742i 0.991776 0.127984i \(-0.0408505\pi\)
0.794912 + 0.606725i \(0.207517\pi\)
\(620\) −2.12006 −0.0851436
\(621\) 25.2250 1.01224
\(622\) −77.8924 20.8712i −3.12320 0.836859i
\(623\) −2.55234 8.76859i −0.102257 0.351306i
\(624\) −1.88227 25.0170i −0.0753511 1.00148i
\(625\) 12.0870 20.9353i 0.483481 0.837413i
\(626\) 3.09520 0.829356i 0.123709 0.0331477i
\(627\) −15.4946 + 26.8375i −0.618796 + 1.07179i
\(628\) −25.4985 44.1647i −1.01750 1.76236i
\(629\) −29.6286 29.6286i −1.18137 1.18137i
\(630\) −0.644396 + 1.17356i −0.0256733 + 0.0467558i
\(631\) 5.64724 1.51317i 0.224813 0.0602384i −0.144654 0.989482i \(-0.546207\pi\)
0.369467 + 0.929244i \(0.379540\pi\)
\(632\) −17.2797 + 4.63008i −0.687350 + 0.184175i
\(633\) 30.5903i 1.21585i
\(634\) −18.2604 10.5426i −0.725211 0.418701i
\(635\) 0.698590 0.698590i 0.0277227 0.0277227i
\(636\) 61.3225 2.43160
\(637\) −9.95845 + 23.1911i −0.394568 + 0.918867i
\(638\) −49.2896 −1.95139
\(639\) 0.876316 0.876316i 0.0346665 0.0346665i
\(640\) 4.10189 + 2.36823i 0.162141 + 0.0936124i
\(641\) 44.4981i 1.75757i 0.477219 + 0.878785i \(0.341645\pi\)
−0.477219 + 0.878785i \(0.658355\pi\)
\(642\) 19.3576 5.18686i 0.763985 0.204709i
\(643\) −27.5723 + 7.38796i −1.08734 + 0.291353i −0.757601 0.652718i \(-0.773629\pi\)
−0.329743 + 0.944071i \(0.606962\pi\)
\(644\) −30.2066 + 55.0118i −1.19031 + 2.16777i
\(645\) −1.48075 1.48075i −0.0583046 0.0583046i
\(646\) −26.9612 46.6982i −1.06078 1.83732i
\(647\) −17.6121 + 30.5051i −0.692404 + 1.19928i 0.278644 + 0.960395i \(0.410115\pi\)
−0.971048 + 0.238885i \(0.923218\pi\)
\(648\) 49.0755 13.1497i 1.92787 0.516571i
\(649\) −1.03969 + 1.80079i −0.0408114 + 0.0706874i
\(650\) −40.9424 + 14.3401i −1.60589 + 0.562463i
\(651\) 3.35216 + 11.5164i 0.131381 + 0.451363i
\(652\) −62.1312 16.6480i −2.43325 0.651987i
\(653\) −15.3961 −0.602498 −0.301249 0.953546i \(-0.597403\pi\)
−0.301249 + 0.953546i \(0.597403\pi\)
\(654\) 67.5579 2.64172
\(655\) −3.12420 0.837126i −0.122073 0.0327092i
\(656\) 0.251879 0.940027i 0.00983424 0.0367019i
\(657\) 3.10264 + 11.5792i 0.121045 + 0.451748i
\(658\) 17.9245 10.8679i 0.698769 0.423675i
\(659\) 5.17792 8.96841i 0.201703 0.349360i −0.747374 0.664403i \(-0.768686\pi\)
0.949077 + 0.315043i \(0.102019\pi\)
\(660\) 5.19658i 0.202277i
\(661\) 5.27256 + 19.6775i 0.205079 + 0.765365i 0.989425 + 0.145042i \(0.0463318\pi\)
−0.784347 + 0.620323i \(0.787002\pi\)
\(662\) 49.2755 28.4492i 1.91515 1.10571i
\(663\) −2.14962 28.5704i −0.0834844 1.10958i
\(664\) 27.7317i 1.07620i
\(665\) −2.99674 1.64549i −0.116209 0.0638095i
\(666\) −11.1852 19.3734i −0.433419 0.750704i
\(667\) 37.1041 21.4220i 1.43668 0.829465i
\(668\) 10.3463 38.6128i 0.400309 1.49397i
\(669\) −7.10795 + 7.10795i −0.274809 + 0.274809i
\(670\) −1.47079 0.394096i −0.0568215 0.0152253i
\(671\) 4.61332 4.61332i 0.178095 0.178095i
\(672\) 0.939386 3.83289i 0.0362376 0.147857i
\(673\) −28.0255 + 16.1805i −1.08030 + 0.623714i −0.930979 0.365074i \(-0.881044\pi\)
−0.149326 + 0.988788i \(0.547710\pi\)
\(674\) 8.74329 + 8.74329i 0.336779 + 0.336779i
\(675\) −10.3080 17.8540i −0.396755 0.687200i
\(676\) 47.4566 + 18.5927i 1.82525 + 0.715103i
\(677\) 11.3616 + 6.55960i 0.436660 + 0.252106i 0.702180 0.712000i \(-0.252210\pi\)
−0.265520 + 0.964105i \(0.585544\pi\)
\(678\) 5.72702 21.3735i 0.219945 0.820845i
\(679\) 1.70647 6.96274i 0.0654882 0.267206i
\(680\) −3.83619 2.21482i −0.147111 0.0849346i
\(681\) 5.51132 + 20.5685i 0.211194 + 0.788188i
\(682\) 11.3206 + 11.3206i 0.433489 + 0.433489i
\(683\) −27.1767 27.1767i −1.03989 1.03989i −0.999171 0.0407173i \(-0.987036\pi\)
−0.0407173 0.999171i \(-0.512964\pi\)
\(684\) −4.93407 18.4142i −0.188659 0.704084i
\(685\) −2.80909 1.62183i −0.107330 0.0619669i
\(686\) 29.7500 33.8486i 1.13586 1.29234i
\(687\) 6.74510 25.1731i 0.257342 0.960412i
\(688\) −13.8177 7.97762i −0.526793 0.304144i
\(689\) −12.4068 + 25.7827i −0.472663 + 0.982243i
\(690\) −3.41062 5.90737i −0.129840 0.224890i
\(691\) −11.8354 11.8354i −0.450240 0.450240i 0.445194 0.895434i \(-0.353135\pi\)
−0.895434 + 0.445194i \(0.853135\pi\)
\(692\) 50.8502 29.3584i 1.93303 1.11604i
\(693\) 6.42830 1.87113i 0.244191 0.0710784i
\(694\) −1.17683 + 1.17683i −0.0446720 + 0.0446720i
\(695\) 3.38910 + 0.908107i 0.128556 + 0.0344464i
\(696\) 46.1233 46.1233i 1.74830 1.74830i
\(697\) 0.287656 1.07355i 0.0108957 0.0406635i
\(698\) −11.0718 + 6.39229i −0.419072 + 0.241952i
\(699\) 12.0516 + 20.8741i 0.455835 + 0.789529i
\(700\) 51.2805 1.10021i 1.93822 0.0415842i
\(701\) 22.9034i 0.865051i 0.901622 + 0.432525i \(0.142377\pi\)
−0.901622 + 0.432525i \(0.857623\pi\)
\(702\) −6.78954 + 35.9423i −0.256255 + 1.35655i
\(703\) 49.4708 28.5620i 1.86583 1.07724i
\(704\) −6.59076 24.5971i −0.248399 0.927037i
\(705\) 1.50870i 0.0568211i
\(706\) −26.4167 + 45.7551i −0.994206 + 1.72201i
\(707\) 18.9055 + 31.1809i 0.711014 + 1.17268i
\(708\) −1.45384 5.42581i −0.0546387 0.203914i
\(709\) −1.72913 + 6.45322i −0.0649390 + 0.242356i −0.990764 0.135596i \(-0.956705\pi\)
0.925825 + 0.377952i \(0.123372\pi\)
\(710\) 0.774070 + 0.207411i 0.0290503 + 0.00778401i
\(711\) −3.38621 −0.126993
\(712\) 16.1317 0.604560
\(713\) −13.4420 3.60178i −0.503408 0.134888i
\(714\) −12.1774 + 49.6865i −0.455729 + 1.85947i
\(715\) −2.18487 1.05138i −0.0817096 0.0393193i
\(716\) 18.0030 31.1821i 0.672803 1.16533i
\(717\) −11.7640 + 3.15216i −0.439335 + 0.117719i
\(718\) −17.2737 + 29.9189i −0.644648 + 1.11656i
\(719\) −5.57246 9.65178i −0.207818 0.359951i 0.743209 0.669059i \(-0.233303\pi\)
−0.951027 + 0.309108i \(0.899969\pi\)
\(720\) −0.519152 0.519152i −0.0193476 0.0193476i
\(721\) 11.0089 + 18.1571i 0.409993 + 0.676205i
\(722\) 26.3516 7.06089i 0.980705 0.262779i
\(723\) 23.2712 6.23551i 0.865466 0.231901i
\(724\) 50.2638i 1.86804i
\(725\) −30.3246 17.5079i −1.12623 0.650228i
\(726\) −9.55393 + 9.55393i −0.354580 + 0.354580i
\(727\) −2.66009 −0.0986574 −0.0493287 0.998783i \(-0.515708\pi\)
−0.0493287 + 0.998783i \(0.515708\pi\)
\(728\) −34.4163 28.3385i −1.27555 1.05029i
\(729\) −15.0353 −0.556862
\(730\) −5.48126 + 5.48126i −0.202871 + 0.202871i
\(731\) −15.7803 9.11075i −0.583655 0.336973i
\(732\) 17.6245i 0.651419i
\(733\) −18.2289 + 4.88442i −0.673299 + 0.180410i −0.579241 0.815157i \(-0.696651\pi\)
−0.0940588 + 0.995567i \(0.529984\pi\)
\(734\) −7.06318 + 1.89257i −0.260707 + 0.0698561i
\(735\) 0.973065 + 3.09405i 0.0358921 + 0.114126i
\(736\) 3.23760 + 3.23760i 0.119340 + 0.119340i
\(737\) 3.80718 + 6.59423i 0.140239 + 0.242902i
\(738\) 0.296686 0.513874i 0.0109211 0.0189160i
\(739\) 40.8109 10.9352i 1.50125 0.402259i 0.587733 0.809055i \(-0.300020\pi\)
0.913519 + 0.406795i \(0.133354\pi\)
\(740\) 4.78956 8.29575i 0.176068 0.304958i
\(741\) 38.3815 + 7.25031i 1.40998 + 0.266347i
\(742\) 35.3415 36.8913i 1.29743 1.35432i
\(743\) 23.2394 + 6.22698i 0.852571 + 0.228446i 0.658536 0.752549i \(-0.271176\pi\)
0.194035 + 0.980995i \(0.437842\pi\)
\(744\) −21.1868 −0.776747
\(745\) 2.48583 0.0910738
\(746\) −61.5436 16.4906i −2.25327 0.603762i
\(747\) −1.35861 + 5.07039i −0.0497088 + 0.185516i
\(748\) 11.7031 + 43.6765i 0.427907 + 1.59697i
\(749\) 5.32134 9.69113i 0.194438 0.354106i
\(750\) −5.60606 + 9.70998i −0.204704 + 0.354558i
\(751\) 16.7433i 0.610973i 0.952196 + 0.305486i \(0.0988191\pi\)
−0.952196 + 0.305486i \(0.901181\pi\)
\(752\) 2.97513 + 11.1033i 0.108492 + 0.404897i
\(753\) −46.0761 + 26.6020i −1.67911 + 0.969432i
\(754\) 20.5367 + 58.6343i 0.747901 + 2.13534i
\(755\) 1.05754i 0.0384877i
\(756\) 20.8159 37.9096i 0.757067 1.37876i
\(757\) −13.8538 23.9955i −0.503524 0.872130i −0.999992 0.00407434i \(-0.998703\pi\)
0.496467 0.868055i \(-0.334630\pi\)
\(758\) 12.1045 6.98855i 0.439656 0.253836i
\(759\) −8.82851 + 32.9485i −0.320455 + 1.19595i
\(760\) 4.27019 4.27019i 0.154896 0.154896i
\(761\) 21.8743 + 5.86120i 0.792943 + 0.212468i 0.632483 0.774574i \(-0.282036\pi\)
0.160459 + 0.987042i \(0.448702\pi\)
\(762\) 14.2511 14.2511i 0.516262 0.516262i
\(763\) 25.7828 26.9134i 0.933401 0.974332i
\(764\) 18.3067 10.5694i 0.662314 0.382387i
\(765\) −0.592891 0.592891i −0.0214360 0.0214360i
\(766\) −19.7607 34.2265i −0.713983 1.23665i
\(767\) 2.57540 + 0.486496i 0.0929921 + 0.0175663i
\(768\) 53.2879 + 30.7658i 1.92286 + 1.11016i
\(769\) 5.25290 19.6041i 0.189424 0.706941i −0.804216 0.594338i \(-0.797414\pi\)
0.993640 0.112604i \(-0.0359191\pi\)
\(770\) 3.12623 + 2.99490i 0.112662 + 0.107929i
\(771\) −32.9296 19.0119i −1.18593 0.684698i
\(772\) −3.39066 12.6541i −0.122033 0.455432i
\(773\) 14.4404 + 14.4404i 0.519384 + 0.519384i 0.917385 0.398001i \(-0.130296\pi\)
−0.398001 + 0.917385i \(