Properties

Label 224.3.v.b.13.7
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.7
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.89176 + 0.649047i) q^{2} +(-5.08830 - 2.10764i) q^{3} +(3.15748 - 2.45567i) q^{4} +(-0.976625 - 2.35778i) q^{5} +(10.9938 + 0.684602i) q^{6} +(4.79964 + 5.09544i) q^{7} +(-4.37933 + 6.69489i) q^{8} +(15.0847 + 15.0847i) q^{9} +O(q^{10})\) \(q+(-1.89176 + 0.649047i) q^{2} +(-5.08830 - 2.10764i) q^{3} +(3.15748 - 2.45567i) q^{4} +(-0.976625 - 2.35778i) q^{5} +(10.9938 + 0.684602i) q^{6} +(4.79964 + 5.09544i) q^{7} +(-4.37933 + 6.69489i) q^{8} +(15.0847 + 15.0847i) q^{9} +(3.37785 + 3.82647i) q^{10} +(2.51817 + 6.07940i) q^{11} +(-21.2419 + 5.84038i) q^{12} +(9.18830 - 22.1825i) q^{13} +(-12.3869 - 6.52413i) q^{14} +14.0555i q^{15} +(3.93933 - 15.5075i) q^{16} -12.9448 q^{17} +(-38.3273 - 18.7459i) q^{18} +(-5.85517 + 14.1356i) q^{19} +(-8.87361 - 5.04637i) q^{20} +(-13.6827 - 36.0431i) q^{21} +(-8.70958 - 9.86633i) q^{22} +(3.80500 + 3.80500i) q^{23} +(36.3938 - 24.8355i) q^{24} +(13.0723 - 13.0723i) q^{25} +(-2.98453 + 47.9275i) q^{26} +(-25.9936 - 62.7541i) q^{27} +(27.6675 + 4.30237i) q^{28} +(10.4805 - 25.3022i) q^{29} +(-9.12267 - 26.5895i) q^{30} -26.1430i q^{31} +(2.61283 + 31.8932i) q^{32} -36.2413i q^{33} +(24.4883 - 8.40176i) q^{34} +(7.32648 - 16.2928i) q^{35} +(84.6728 + 10.5865i) q^{36} +(-22.3665 + 9.26451i) q^{37} +(1.90187 - 30.5414i) q^{38} +(-93.5057 + 93.5057i) q^{39} +(20.0620 + 3.78710i) q^{40} +(1.69723 - 1.69723i) q^{41} +(49.2779 + 59.3040i) q^{42} +(-23.2062 - 56.0247i) q^{43} +(22.8801 + 13.0118i) q^{44} +(20.8344 - 50.2986i) q^{45} +(-9.66776 - 4.72851i) q^{46} -63.8209 q^{47} +(-52.7287 + 70.6041i) q^{48} +(-2.92694 + 48.9125i) q^{49} +(-16.2451 + 33.2142i) q^{50} +(65.8669 + 27.2830i) q^{51} +(-25.4612 - 92.6042i) q^{52} +(-29.7801 - 71.8955i) q^{53} +(89.9039 + 101.844i) q^{54} +(11.8746 - 11.8746i) q^{55} +(-55.1326 + 9.81845i) q^{56} +(59.5858 - 59.5858i) q^{57} +(-3.40427 + 54.6680i) q^{58} +(25.6143 + 61.8384i) q^{59} +(34.5157 + 44.3799i) q^{60} +(46.9261 + 19.4374i) q^{61} +(16.9680 + 49.4562i) q^{62} +(-4.46202 + 149.264i) q^{63} +(-25.6430 - 58.6382i) q^{64} -61.2750 q^{65} +(23.5223 + 68.5596i) q^{66} +(-0.333590 + 0.805357i) q^{67} +(-40.8728 + 31.7881i) q^{68} +(-11.3414 - 27.3806i) q^{69} +(-3.28510 + 35.5773i) q^{70} +(48.5986 - 48.5986i) q^{71} +(-167.051 + 34.9295i) q^{72} +(69.1076 - 69.1076i) q^{73} +(36.2989 - 32.0431i) q^{74} +(-94.0679 + 38.9642i) q^{75} +(16.2249 + 59.0113i) q^{76} +(-18.8909 + 42.0101i) q^{77} +(116.200 - 237.580i) q^{78} -104.667i q^{79} +(-40.4105 + 5.85692i) q^{80} +182.100i q^{81} +(-2.10916 + 4.31231i) q^{82} +(22.3992 - 54.0765i) q^{83} +(-131.713 - 80.2050i) q^{84} +(12.6422 + 30.5209i) q^{85} +(80.2631 + 90.9231i) q^{86} +(-106.656 + 106.656i) q^{87} +(-51.7288 - 9.76483i) q^{88} +(-47.9956 - 47.9956i) q^{89} +(-6.76738 + 108.675i) q^{90} +(157.130 - 59.6497i) q^{91} +(21.3581 + 2.67036i) q^{92} +(-55.1002 + 133.024i) q^{93} +(120.734 - 41.4227i) q^{94} +39.0470 q^{95} +(53.9246 - 167.789i) q^{96} +8.86586i q^{97} +(-26.2094 - 94.4302i) q^{98} +(-53.7202 + 129.692i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.89176 + 0.649047i −0.945878 + 0.324523i
\(3\) −5.08830 2.10764i −1.69610 0.702548i −0.696218 0.717830i \(-0.745135\pi\)
−0.999883 + 0.0152817i \(0.995135\pi\)
\(4\) 3.15748 2.45567i 0.789369 0.613919i
\(5\) −0.976625 2.35778i −0.195325 0.471556i 0.795625 0.605790i \(-0.207143\pi\)
−0.990950 + 0.134234i \(0.957143\pi\)
\(6\) 10.9938 + 0.684602i 1.83230 + 0.114100i
\(7\) 4.79964 + 5.09544i 0.685663 + 0.727919i
\(8\) −4.37933 + 6.69489i −0.547416 + 0.836861i
\(9\) 15.0847 + 15.0847i 1.67608 + 1.67608i
\(10\) 3.37785 + 3.82647i 0.337785 + 0.382647i
\(11\) 2.51817 + 6.07940i 0.228925 + 0.552673i 0.996047 0.0888278i \(-0.0283121\pi\)
−0.767122 + 0.641501i \(0.778312\pi\)
\(12\) −21.2419 + 5.84038i −1.77016 + 0.486698i
\(13\) 9.18830 22.1825i 0.706792 1.70635i −0.00107294 0.999999i \(-0.500342\pi\)
0.707865 0.706348i \(-0.249658\pi\)
\(14\) −12.3869 6.52413i −0.884780 0.466009i
\(15\) 14.0555i 0.937033i
\(16\) 3.93933 15.5075i 0.246208 0.969217i
\(17\) −12.9448 −0.761457 −0.380729 0.924687i \(-0.624327\pi\)
−0.380729 + 0.924687i \(0.624327\pi\)
\(18\) −38.3273 18.7459i −2.12929 1.04144i
\(19\) −5.85517 + 14.1356i −0.308167 + 0.743981i 0.691598 + 0.722283i \(0.256907\pi\)
−0.999765 + 0.0216978i \(0.993093\pi\)
\(20\) −8.87361 5.04637i −0.443681 0.252318i
\(21\) −13.6827 36.0431i −0.651555 1.71634i
\(22\) −8.70958 9.86633i −0.395890 0.448470i
\(23\) 3.80500 + 3.80500i 0.165435 + 0.165435i 0.784969 0.619535i \(-0.212679\pi\)
−0.619535 + 0.784969i \(0.712679\pi\)
\(24\) 36.3938 24.8355i 1.51641 1.03481i
\(25\) 13.0723 13.0723i 0.522893 0.522893i
\(26\) −2.98453 + 47.9275i −0.114790 + 1.84337i
\(27\) −25.9936 62.7541i −0.962726 2.32423i
\(28\) 27.6675 + 4.30237i 0.988124 + 0.153656i
\(29\) 10.4805 25.3022i 0.361398 0.872491i −0.633699 0.773580i \(-0.718464\pi\)
0.995096 0.0989110i \(-0.0315359\pi\)
\(30\) −9.12267 26.5895i −0.304089 0.886318i
\(31\) 26.1430i 0.843323i −0.906753 0.421661i \(-0.861447\pi\)
0.906753 0.421661i \(-0.138553\pi\)
\(32\) 2.61283 + 31.8932i 0.0816510 + 0.996661i
\(33\) 36.2413i 1.09822i
\(34\) 24.4883 8.40176i 0.720245 0.247111i
\(35\) 7.32648 16.2928i 0.209328 0.465509i
\(36\) 84.6728 + 10.5865i 2.35202 + 0.294069i
\(37\) −22.3665 + 9.26451i −0.604500 + 0.250392i −0.663875 0.747844i \(-0.731089\pi\)
0.0593748 + 0.998236i \(0.481089\pi\)
\(38\) 1.90187 30.5414i 0.0500492 0.803722i
\(39\) −93.5057 + 93.5057i −2.39758 + 2.39758i
\(40\) 20.0620 + 3.78710i 0.501551 + 0.0946776i
\(41\) 1.69723 1.69723i 0.0413957 0.0413957i −0.686106 0.727502i \(-0.740681\pi\)
0.727502 + 0.686106i \(0.240681\pi\)
\(42\) 49.2779 + 59.3040i 1.17328 + 1.41200i
\(43\) −23.2062 56.0247i −0.539679 1.30290i −0.924947 0.380095i \(-0.875891\pi\)
0.385269 0.922804i \(-0.374109\pi\)
\(44\) 22.8801 + 13.0118i 0.520002 + 0.295722i
\(45\) 20.8344 50.2986i 0.462986 1.11775i
\(46\) −9.66776 4.72851i −0.210169 0.102794i
\(47\) −63.8209 −1.35789 −0.678946 0.734188i \(-0.737563\pi\)
−0.678946 + 0.734188i \(0.737563\pi\)
\(48\) −52.7287 + 70.6041i −1.09852 + 1.47092i
\(49\) −2.92694 + 48.9125i −0.0597334 + 0.998214i
\(50\) −16.2451 + 33.2142i −0.324902 + 0.664284i
\(51\) 65.8669 + 27.2830i 1.29151 + 0.534960i
\(52\) −25.4612 92.6042i −0.489638 1.78085i
\(53\) −29.7801 71.8955i −0.561889 1.35652i −0.908254 0.418419i \(-0.862584\pi\)
0.346365 0.938100i \(-0.387416\pi\)
\(54\) 89.9039 + 101.844i 1.66489 + 1.88601i
\(55\) 11.8746 11.8746i 0.215902 0.215902i
\(56\) −55.1326 + 9.81845i −0.984510 + 0.175329i
\(57\) 59.5858 59.5858i 1.04536 1.04536i
\(58\) −3.40427 + 54.6680i −0.0586943 + 0.942552i
\(59\) 25.6143 + 61.8384i 0.434141 + 1.04811i 0.977939 + 0.208892i \(0.0669858\pi\)
−0.543798 + 0.839216i \(0.683014\pi\)
\(60\) 34.5157 + 44.3799i 0.575262 + 0.739665i
\(61\) 46.9261 + 19.4374i 0.769280 + 0.318646i 0.732581 0.680680i \(-0.238316\pi\)
0.0366990 + 0.999326i \(0.488316\pi\)
\(62\) 16.9680 + 49.4562i 0.273678 + 0.797680i
\(63\) −4.46202 + 149.264i −0.0708257 + 2.36928i
\(64\) −25.6430 58.6382i −0.400672 0.916222i
\(65\) −61.2750 −0.942693
\(66\) 23.5223 + 68.5596i 0.356398 + 1.03878i
\(67\) −0.333590 + 0.805357i −0.00497895 + 0.0120203i −0.926349 0.376665i \(-0.877071\pi\)
0.921371 + 0.388685i \(0.127071\pi\)
\(68\) −40.8728 + 31.7881i −0.601071 + 0.467473i
\(69\) −11.3414 27.3806i −0.164368 0.396820i
\(70\) −3.28510 + 35.5773i −0.0469300 + 0.508247i
\(71\) 48.5986 48.5986i 0.684488 0.684488i −0.276520 0.961008i \(-0.589181\pi\)
0.961008 + 0.276520i \(0.0891813\pi\)
\(72\) −167.051 + 34.9295i −2.32016 + 0.485132i
\(73\) 69.1076 69.1076i 0.946679 0.946679i −0.0519698 0.998649i \(-0.516550\pi\)
0.998649 + 0.0519698i \(0.0165499\pi\)
\(74\) 36.2989 32.0431i 0.490525 0.433015i
\(75\) −94.0679 + 38.9642i −1.25424 + 0.519522i
\(76\) 16.2249 + 59.0113i 0.213486 + 0.776465i
\(77\) −18.8909 + 42.0101i −0.245336 + 0.545586i
\(78\) 116.200 237.580i 1.48975 3.04589i
\(79\) 104.667i 1.32490i −0.749107 0.662449i \(-0.769517\pi\)
0.749107 0.662449i \(-0.230483\pi\)
\(80\) −40.4105 + 5.85692i −0.505131 + 0.0732115i
\(81\) 182.100i 2.24815i
\(82\) −2.10916 + 4.31231i −0.0257214 + 0.0525892i
\(83\) 22.3992 54.0765i 0.269870 0.651524i −0.729607 0.683867i \(-0.760297\pi\)
0.999477 + 0.0323427i \(0.0102968\pi\)
\(84\) −131.713 80.2050i −1.56801 0.954822i
\(85\) 12.6422 + 30.5209i 0.148732 + 0.359070i
\(86\) 80.2631 + 90.9231i 0.933291 + 1.05725i
\(87\) −106.656 + 106.656i −1.22593 + 1.22593i
\(88\) −51.7288 9.76483i −0.587827 0.110964i
\(89\) −47.9956 47.9956i −0.539277 0.539277i 0.384040 0.923317i \(-0.374533\pi\)
−0.923317 + 0.384040i \(0.874533\pi\)
\(90\) −6.76738 + 108.675i −0.0751932 + 1.20750i
\(91\) 157.130 59.6497i 1.72670 0.655491i
\(92\) 21.3581 + 2.67036i 0.232153 + 0.0290257i
\(93\) −55.1002 + 133.024i −0.592475 + 1.43036i
\(94\) 120.734 41.4227i 1.28440 0.440668i
\(95\) 39.0470 0.411021
\(96\) 53.9246 167.789i 0.561714 1.74780i
\(97\) 8.86586i 0.0914006i 0.998955 + 0.0457003i \(0.0145519\pi\)
−0.998955 + 0.0457003i \(0.985448\pi\)
\(98\) −26.2094 94.4302i −0.267443 0.963574i
\(99\) −53.7202 + 129.692i −0.542628 + 1.31002i
\(100\) 9.17420 73.3770i 0.0917420 0.733770i
\(101\) 31.1848 + 75.2869i 0.308761 + 0.745415i 0.999746 + 0.0225455i \(0.00717706\pi\)
−0.690985 + 0.722869i \(0.742823\pi\)
\(102\) −142.312 8.86202i −1.39522 0.0868825i
\(103\) 2.67598 + 2.67598i 0.0259804 + 0.0259804i 0.719978 0.693997i \(-0.244152\pi\)
−0.693997 + 0.719978i \(0.744152\pi\)
\(104\) 108.271 + 158.659i 1.04107 + 1.52557i
\(105\) −71.6188 + 67.4613i −0.682084 + 0.642488i
\(106\) 103.000 + 116.680i 0.971700 + 1.10076i
\(107\) −69.2179 167.107i −0.646897 1.56175i −0.817199 0.576355i \(-0.804475\pi\)
0.170303 0.985392i \(-0.445525\pi\)
\(108\) −236.178 134.313i −2.18683 1.24364i
\(109\) −1.47397 0.610540i −0.0135227 0.00560128i 0.375912 0.926655i \(-0.377330\pi\)
−0.389435 + 0.921054i \(0.627330\pi\)
\(110\) −14.7567 + 30.1710i −0.134151 + 0.274282i
\(111\) 133.334 1.20121
\(112\) 97.9247 54.3577i 0.874327 0.485336i
\(113\) 42.7926i 0.378695i 0.981910 + 0.189348i \(0.0606373\pi\)
−0.981910 + 0.189348i \(0.939363\pi\)
\(114\) −74.0478 + 151.396i −0.649542 + 1.32803i
\(115\) 5.25530 12.6874i 0.0456983 0.110325i
\(116\) −29.0420 105.628i −0.250362 0.910586i
\(117\) 473.220 196.014i 4.04461 1.67533i
\(118\) −88.5920 100.358i −0.750780 0.850494i
\(119\) −62.1302 65.9592i −0.522103 0.554279i
\(120\) −94.0999 61.5536i −0.784166 0.512947i
\(121\) 54.9420 54.9420i 0.454066 0.454066i
\(122\) −101.388 6.31363i −0.831052 0.0517511i
\(123\) −12.2132 + 5.05885i −0.0992939 + 0.0411289i
\(124\) −64.1987 82.5460i −0.517732 0.665693i
\(125\) −102.533 42.4706i −0.820264 0.339764i
\(126\) −88.4385 285.268i −0.701893 2.26403i
\(127\) 204.737 1.61210 0.806051 0.591846i \(-0.201601\pi\)
0.806051 + 0.591846i \(0.201601\pi\)
\(128\) 86.5692 + 94.2856i 0.676322 + 0.736607i
\(129\) 333.981i 2.58900i
\(130\) 115.917 39.7703i 0.891672 0.305926i
\(131\) −192.258 79.6357i −1.46761 0.607906i −0.501301 0.865273i \(-0.667145\pi\)
−0.966314 + 0.257367i \(0.917145\pi\)
\(132\) −88.9968 114.431i −0.674218 0.866901i
\(133\) −100.130 + 38.0113i −0.752857 + 0.285799i
\(134\) 0.108356 1.74005i 0.000808628 0.0129855i
\(135\) −122.574 + 122.574i −0.907959 + 0.907959i
\(136\) 56.6894 86.6637i 0.416834 0.637233i
\(137\) 16.3266 + 16.3266i 0.119172 + 0.119172i 0.764178 0.645006i \(-0.223145\pi\)
−0.645006 + 0.764178i \(0.723145\pi\)
\(138\) 39.2265 + 44.4363i 0.284250 + 0.322002i
\(139\) −28.4103 + 11.7679i −0.204391 + 0.0846613i −0.482530 0.875879i \(-0.660282\pi\)
0.278140 + 0.960541i \(0.410282\pi\)
\(140\) −16.8767 69.4357i −0.120548 0.495969i
\(141\) 324.740 + 134.512i 2.30312 + 0.953985i
\(142\) −60.3940 + 123.480i −0.425310 + 0.869574i
\(143\) 157.994 1.10485
\(144\) 293.349 174.502i 2.03715 1.21182i
\(145\) −69.8927 −0.482019
\(146\) −85.8806 + 175.589i −0.588223 + 1.20266i
\(147\) 117.983 242.713i 0.802608 1.65111i
\(148\) −47.8711 + 84.1773i −0.323453 + 0.568766i
\(149\) −17.4326 42.0860i −0.116997 0.282456i 0.854523 0.519414i \(-0.173850\pi\)
−0.971520 + 0.236958i \(0.923850\pi\)
\(150\) 152.664 134.765i 1.01776 0.898434i
\(151\) 6.67074 + 6.67074i 0.0441771 + 0.0441771i 0.728850 0.684673i \(-0.240055\pi\)
−0.684673 + 0.728850i \(0.740055\pi\)
\(152\) −68.9947 101.104i −0.453913 0.665160i
\(153\) −195.268 195.268i −1.27626 1.27626i
\(154\) 8.47044 91.7339i 0.0550028 0.595675i
\(155\) −61.6395 + 25.5319i −0.397674 + 0.164722i
\(156\) −65.6226 + 524.862i −0.420657 + 3.36450i
\(157\) −2.83630 1.17483i −0.0180656 0.00748301i 0.373632 0.927577i \(-0.378112\pi\)
−0.391698 + 0.920094i \(0.628112\pi\)
\(158\) 67.9337 + 198.004i 0.429960 + 1.25319i
\(159\) 428.592i 2.69555i
\(160\) 72.6453 37.3081i 0.454033 0.233176i
\(161\) −1.12551 + 37.6508i −0.00699074 + 0.233856i
\(162\) −118.192 344.489i −0.729578 2.12648i
\(163\) −72.9396 + 176.092i −0.447482 + 1.08032i 0.525780 + 0.850620i \(0.323773\pi\)
−0.973262 + 0.229697i \(0.926227\pi\)
\(164\) 1.19112 9.52679i 0.00726291 0.0580902i
\(165\) −85.4490 + 35.3941i −0.517873 + 0.214510i
\(166\) −7.27569 + 116.838i −0.0438294 + 0.703842i
\(167\) 1.99765 + 1.99765i 0.0119620 + 0.0119620i 0.713062 0.701100i \(-0.247308\pi\)
−0.701100 + 0.713062i \(0.747308\pi\)
\(168\) 301.225 + 66.2406i 1.79301 + 0.394289i
\(169\) −288.138 288.138i −1.70496 1.70496i
\(170\) −43.7254 49.5328i −0.257208 0.291369i
\(171\) −301.556 + 124.908i −1.76348 + 0.730459i
\(172\) −210.851 119.910i −1.22588 0.697150i
\(173\) 70.0181 169.039i 0.404729 0.977101i −0.581773 0.813351i \(-0.697641\pi\)
0.986502 0.163750i \(-0.0523591\pi\)
\(174\) 132.543 270.992i 0.761740 1.55743i
\(175\) 129.352 + 3.86676i 0.739153 + 0.0220958i
\(176\) 104.196 15.1017i 0.592023 0.0858053i
\(177\) 368.638i 2.08270i
\(178\) 121.947 + 59.6446i 0.685098 + 0.335082i
\(179\) 175.891 + 72.8566i 0.982634 + 0.407020i 0.815400 0.578897i \(-0.196517\pi\)
0.167233 + 0.985917i \(0.446517\pi\)
\(180\) −57.7329 209.979i −0.320739 1.16655i
\(181\) 116.575 48.2870i 0.644062 0.266779i −0.0366527 0.999328i \(-0.511670\pi\)
0.680714 + 0.732549i \(0.261670\pi\)
\(182\) −258.536 + 214.827i −1.42053 + 1.18037i
\(183\) −197.807 197.807i −1.08091 1.08091i
\(184\) −42.1374 + 8.81070i −0.229008 + 0.0478842i
\(185\) 43.6874 + 43.6874i 0.236148 + 0.236148i
\(186\) 17.8976 287.411i 0.0962234 1.54522i
\(187\) −32.5971 78.6965i −0.174316 0.420837i
\(188\) −201.513 + 156.723i −1.07188 + 0.833635i
\(189\) 195.000 433.646i 1.03174 2.29442i
\(190\) −73.8675 + 25.3433i −0.388776 + 0.133386i
\(191\) 165.116 0.864482 0.432241 0.901758i \(-0.357723\pi\)
0.432241 + 0.901758i \(0.357723\pi\)
\(192\) 6.89080 + 352.415i 0.0358896 + 1.83550i
\(193\) −262.848 −1.36191 −0.680953 0.732327i \(-0.738434\pi\)
−0.680953 + 0.732327i \(0.738434\pi\)
\(194\) −5.75435 16.7720i −0.0296616 0.0864538i
\(195\) 311.786 + 129.146i 1.59890 + 0.662287i
\(196\) 110.871 + 161.628i 0.565671 + 0.824631i
\(197\) −82.6273 + 34.2253i −0.419428 + 0.173733i −0.582408 0.812897i \(-0.697889\pi\)
0.162980 + 0.986629i \(0.447889\pi\)
\(198\) 17.4493 280.212i 0.0881278 1.41521i
\(199\) −117.305 117.305i −0.589475 0.589475i 0.348014 0.937489i \(-0.386856\pi\)
−0.937489 + 0.348014i \(0.886856\pi\)
\(200\) 30.2697 + 144.766i 0.151349 + 0.723829i
\(201\) 3.39481 3.39481i 0.0168896 0.0168896i
\(202\) −107.859 122.184i −0.533954 0.604871i
\(203\) 179.229 68.0387i 0.882900 0.335166i
\(204\) 274.971 75.6024i 1.34790 0.370600i
\(205\) −5.65924 2.34413i −0.0276060 0.0114348i
\(206\) −6.79914 3.32546i −0.0330055 0.0161430i
\(207\) 114.795i 0.554564i
\(208\) −307.799 229.871i −1.47980 1.10515i
\(209\) −100.681 −0.481725
\(210\) 91.6998 174.104i 0.436666 0.829067i
\(211\) −362.717 150.242i −1.71904 0.712049i −0.999852 0.0172322i \(-0.994515\pi\)
−0.719187 0.694817i \(-0.755485\pi\)
\(212\) −270.582 153.878i −1.27633 0.725841i
\(213\) −349.713 + 144.856i −1.64185 + 0.680075i
\(214\) 239.404 + 271.200i 1.11871 + 1.26729i
\(215\) −109.430 + 109.430i −0.508978 + 0.508978i
\(216\) 533.966 + 100.797i 2.47207 + 0.466651i
\(217\) 133.210 125.477i 0.613871 0.578235i
\(218\) 3.18467 + 0.198315i 0.0146086 + 0.000909700i
\(219\) −497.295 + 205.986i −2.27075 + 0.940576i
\(220\) 8.33362 66.6539i 0.0378801 0.302972i
\(221\) −118.940 + 287.148i −0.538192 + 1.29931i
\(222\) −252.235 + 86.5399i −1.13619 + 0.389819i
\(223\) 27.1084i 0.121562i 0.998151 + 0.0607812i \(0.0193592\pi\)
−0.998151 + 0.0607812i \(0.980641\pi\)
\(224\) −149.969 + 166.389i −0.669504 + 0.742809i
\(225\) 394.385 1.75282
\(226\) −27.7744 80.9530i −0.122895 0.358199i
\(227\) 197.820 + 81.9397i 0.871454 + 0.360968i 0.773176 0.634191i \(-0.218667\pi\)
0.0982775 + 0.995159i \(0.468667\pi\)
\(228\) 41.8175 334.464i 0.183410 1.46695i
\(229\) 151.031 + 364.622i 0.659526 + 1.59224i 0.798537 + 0.601946i \(0.205608\pi\)
−0.139011 + 0.990291i \(0.544392\pi\)
\(230\) −1.70702 + 27.4124i −0.00742182 + 0.119184i
\(231\) 184.665 173.945i 0.799416 0.753009i
\(232\) 123.498 + 180.973i 0.532319 + 0.780055i
\(233\) 235.935 + 235.935i 1.01260 + 1.01260i 0.999920 + 0.0126786i \(0.00403584\pi\)
0.0126786 + 0.999920i \(0.495964\pi\)
\(234\) −767.994 + 677.952i −3.28203 + 2.89723i
\(235\) 62.3291 + 150.476i 0.265230 + 0.640322i
\(236\) 232.732 + 132.353i 0.986151 + 0.560818i
\(237\) −220.601 + 532.577i −0.930805 + 2.24716i
\(238\) 160.346 + 84.4534i 0.673722 + 0.354846i
\(239\) 184.016i 0.769942i 0.922929 + 0.384971i \(0.125789\pi\)
−0.922929 + 0.384971i \(0.874211\pi\)
\(240\) 217.965 + 55.3691i 0.908188 + 0.230705i
\(241\) 253.749 1.05290 0.526449 0.850207i \(-0.323523\pi\)
0.526449 + 0.850207i \(0.323523\pi\)
\(242\) −68.2769 + 139.597i −0.282136 + 0.576846i
\(243\) 149.860 361.795i 0.616709 1.48887i
\(244\) 195.900 53.8619i 0.802868 0.220746i
\(245\) 118.183 40.8681i 0.482382 0.166809i
\(246\) 19.8209 17.4970i 0.0805726 0.0711261i
\(247\) 259.765 + 259.765i 1.05168 + 1.05168i
\(248\) 175.024 + 114.489i 0.705744 + 0.461648i
\(249\) −227.948 + 227.948i −0.915455 + 0.915455i
\(250\) 221.533 + 13.7952i 0.886131 + 0.0551809i
\(251\) −110.097 265.797i −0.438632 1.05895i −0.976422 0.215872i \(-0.930741\pi\)
0.537790 0.843079i \(1.68074\pi\)
\(252\) 352.456 + 482.256i 1.39864 + 1.91372i
\(253\) −13.5505 + 32.7138i −0.0535593 + 0.129303i
\(254\) −387.312 + 132.884i −1.52485 + 0.523165i
\(255\) 181.945i 0.713510i
\(256\) −224.963 122.178i −0.878763 0.477258i
\(257\) 19.7298i 0.0767695i 0.999263 + 0.0383848i \(0.0122213\pi\)
−0.999263 + 0.0383848i \(0.987779\pi\)
\(258\) −216.769 631.811i −0.840191 2.44888i
\(259\) −154.558 69.5008i −0.596749 0.268343i
\(260\) −193.475 + 150.472i −0.744133 + 0.578737i
\(261\) 539.773 223.581i 2.06810 0.856633i
\(262\) 415.392 + 25.8671i 1.58546 + 0.0987296i
\(263\) 123.704 123.704i 0.470357 0.470357i −0.431673 0.902030i \(-0.642077\pi\)
0.902030 + 0.431673i \(0.142077\pi\)
\(264\) 242.631 + 158.712i 0.919057 + 0.601183i
\(265\) −140.430 + 140.430i −0.529924 + 0.529924i
\(266\) 164.750 136.897i 0.619362 0.514651i
\(267\) 143.059 + 345.374i 0.535800 + 1.29354i
\(268\) 0.924393 + 3.36209i 0.00344923 + 0.0125451i
\(269\) 89.1653 215.264i 0.331470 0.800238i −0.667006 0.745052i \(-0.732425\pi\)
0.998476 0.0551865i \(-0.0175753\pi\)
\(270\) 152.324 311.438i 0.564165 1.15347i
\(271\) −211.034 −0.778724 −0.389362 0.921085i \(-0.627304\pi\)
−0.389362 + 0.921085i \(0.627304\pi\)
\(272\) −50.9937 + 200.741i −0.187477 + 0.738017i
\(273\) −925.246 27.6587i −3.38918 0.101314i
\(274\) −41.4827 20.2892i −0.151397 0.0740483i
\(275\) 112.390 + 46.5536i 0.408692 + 0.169286i
\(276\) −103.048 58.6028i −0.373363 0.212329i
\(277\) 119.315 + 288.051i 0.430738 + 1.03989i 0.979050 + 0.203620i \(0.0652708\pi\)
−0.548312 + 0.836274i \(0.684729\pi\)
\(278\) 46.1074 40.7016i 0.165854 0.146409i
\(279\) 394.360 394.360i 1.41348 1.41348i
\(280\) 76.9936 + 120.402i 0.274977 + 0.430006i
\(281\) −169.721 + 169.721i −0.603989 + 0.603989i −0.941369 0.337380i \(-0.890459\pi\)
0.337380 + 0.941369i \(0.390459\pi\)
\(282\) −701.634 43.6919i −2.48806 0.154936i
\(283\) 10.3304 + 24.9398i 0.0365032 + 0.0881265i 0.941080 0.338185i \(-0.109813\pi\)
−0.904577 + 0.426311i \(0.859813\pi\)
\(284\) 34.1067 272.792i 0.120094 0.960534i
\(285\) −198.683 82.2973i −0.697134 0.288762i
\(286\) −298.886 + 102.546i −1.04506 + 0.358551i
\(287\) 16.7942 + 0.502035i 0.0585163 + 0.00174925i
\(288\) −441.685 + 520.513i −1.53363 + 1.80734i
\(289\) −121.433 −0.420183
\(290\) 132.220 45.3636i 0.455931 0.156426i
\(291\) 18.6861 45.1122i 0.0642133 0.155025i
\(292\) 48.4999 387.911i 0.166095 1.32846i
\(293\) −1.20658 2.91294i −0.00411802 0.00994178i 0.921807 0.387649i \(-0.126713\pi\)
−0.925925 + 0.377707i \(0.876713\pi\)
\(294\) −65.6637 + 535.730i −0.223346 + 1.82221i
\(295\) 120.786 120.786i 0.409444 0.409444i
\(296\) 35.9254 190.314i 0.121370 0.642951i
\(297\) 316.051 316.051i 1.06415 1.06415i
\(298\) 60.2939 + 68.3018i 0.202329 + 0.229201i
\(299\) 119.366 49.4430i 0.399217 0.165361i
\(300\) −201.334 + 354.029i −0.671113 + 1.18010i
\(301\) 174.089 387.144i 0.578368 1.28619i
\(302\) −16.9490 8.28979i −0.0561226 0.0274496i
\(303\) 448.809i 1.48122i
\(304\) 196.143 + 146.484i 0.645206 + 0.481855i
\(305\) 129.624i 0.424998i
\(306\) 496.138 + 242.662i 1.62137 + 0.793012i
\(307\) −105.156 + 253.869i −0.342528 + 0.826936i 0.654931 + 0.755689i \(0.272698\pi\)
−0.997459 + 0.0712470i \(0.977302\pi\)
\(308\) 43.5156 + 179.036i 0.141284 + 0.581285i
\(309\) −7.97619 19.2562i −0.0258129 0.0623179i
\(310\) 100.035 88.3070i 0.322695 0.284861i
\(311\) 308.259 308.259i 0.991187 0.991187i −0.00877417 0.999962i \(-0.502793\pi\)
0.999962 + 0.00877417i \(0.00279294\pi\)
\(312\) −216.518 1035.50i −0.693968 3.31892i
\(313\) −49.9640 49.9640i −0.159629 0.159629i 0.622773 0.782402i \(-0.286006\pi\)
−0.782402 + 0.622773i \(0.786006\pi\)
\(314\) 6.12810 + 0.381607i 0.0195162 + 0.00121531i
\(315\) 356.291 135.255i 1.13108 0.429381i
\(316\) −257.028 330.483i −0.813379 1.04583i
\(317\) −80.6419 + 194.687i −0.254391 + 0.614154i −0.998549 0.0538495i \(-0.982851\pi\)
0.744158 + 0.668003i \(0.232851\pi\)
\(318\) −278.176 810.791i −0.874768 2.54966i
\(319\) 180.214 0.564935
\(320\) −113.212 + 117.728i −0.353789 + 0.367900i
\(321\) 996.178i 3.10336i
\(322\) −22.3079 71.9566i −0.0692792 0.223468i
\(323\) 75.7939 182.983i 0.234656 0.566509i
\(324\) 447.179 + 574.978i 1.38018 + 1.77462i
\(325\) −169.865 410.090i −0.522661 1.26181i
\(326\) 23.6921 380.464i 0.0726752 1.16707i
\(327\) 6.21322 + 6.21322i 0.0190007 + 0.0190007i
\(328\) 3.93002 + 18.7954i 0.0119818 + 0.0573032i
\(329\) −306.317 325.195i −0.931056 0.988436i
\(330\) 138.676 122.417i 0.420231 0.370962i
\(331\) −143.604 346.691i −0.433849 1.04740i −0.978035 0.208440i \(-0.933161\pi\)
0.544186 0.838965i \(-0.316839\pi\)
\(332\) −62.0693 225.751i −0.186956 0.679972i
\(333\) −477.145 197.640i −1.43287 0.593513i
\(334\) −5.07564 2.48250i −0.0151965 0.00743264i
\(335\) 2.22465 0.00664074
\(336\) −612.837 + 70.1980i −1.82392 + 0.208923i
\(337\) 438.012i 1.29974i 0.760046 + 0.649869i \(0.225176\pi\)
−0.760046 + 0.649869i \(0.774824\pi\)
\(338\) 732.102 + 358.072i 2.16598 + 1.05938i
\(339\) 90.1915 217.742i 0.266052 0.642305i
\(340\) 114.867 + 65.3241i 0.337844 + 0.192130i
\(341\) 158.934 65.8326i 0.466082 0.193057i
\(342\) 489.398 432.020i 1.43099 1.26322i
\(343\) −263.279 + 219.848i −0.767577 + 0.640957i
\(344\) 476.706 + 89.9877i 1.38577 + 0.261592i
\(345\) −53.4812 + 53.4812i −0.155018 + 0.155018i
\(346\) −22.7432 + 365.225i −0.0657317 + 1.05556i
\(347\) 10.4450 4.32648i 0.0301010 0.0124682i −0.367582 0.929991i \(-0.619814\pi\)
0.397683 + 0.917523i \(0.369814\pi\)
\(348\) −74.8517 + 598.678i −0.215091 + 1.72034i
\(349\) 34.0581 + 14.1073i 0.0975877 + 0.0404221i 0.430943 0.902379i \(-0.358181\pi\)
−0.333356 + 0.942801i \(0.608181\pi\)
\(350\) −247.212 + 76.6403i −0.706319 + 0.218972i
\(351\) −1630.88 −4.64639
\(352\) −187.312 + 96.1969i −0.532136 + 0.273287i
\(353\) 549.398i 1.55637i −0.628036 0.778184i \(-0.716141\pi\)
0.628036 0.778184i \(-0.283859\pi\)
\(354\) 239.264 + 697.374i 0.675886 + 1.96998i
\(355\) −162.048 67.1223i −0.456472 0.189077i
\(356\) −269.407 33.6835i −0.756761 0.0946165i
\(357\) 177.119 + 466.569i 0.496131 + 1.30692i
\(358\) −380.031 23.6652i −1.06154 0.0661038i
\(359\) −24.9930 + 24.9930i −0.0696183 + 0.0696183i −0.741059 0.671440i \(-0.765676\pi\)
0.671440 + 0.741059i \(0.265676\pi\)
\(360\) 245.503 + 359.758i 0.681952 + 0.999327i
\(361\) 89.7324 + 89.7324i 0.248566 + 0.248566i
\(362\) −189.191 + 167.010i −0.522628 + 0.461353i
\(363\) −395.360 + 163.763i −1.08915 + 0.451139i
\(364\) 349.655 574.203i 0.960589 1.57748i
\(365\) −230.433 95.4483i −0.631322 0.261502i
\(366\) 502.588 + 245.816i 1.37319 + 0.671630i
\(367\) 334.565 0.911620 0.455810 0.890077i \(-0.349350\pi\)
0.455810 + 0.890077i \(0.349350\pi\)
\(368\) 73.9951 44.0168i 0.201074 0.119611i
\(369\) 51.2043 0.138765
\(370\) −111.001 54.2907i −0.300003 0.146732i
\(371\) 223.405 496.815i 0.602171 1.33912i
\(372\) 152.685 + 555.327i 0.410444 + 1.49281i
\(373\) −16.1104 38.8939i −0.0431913 0.104273i 0.900812 0.434210i \(-0.142972\pi\)
−0.944003 + 0.329937i \(0.892972\pi\)
\(374\) 112.743 + 127.717i 0.301453 + 0.341490i
\(375\) 432.206 + 432.206i 1.15255 + 1.15255i
\(376\) 279.493 427.274i 0.743332 1.13637i
\(377\) −464.969 464.969i −1.23334 1.23334i
\(378\) −87.4354 + 946.916i −0.231311 + 2.50507i
\(379\) 264.383 109.511i 0.697580 0.288947i −0.00557400 0.999984i \(-0.501774\pi\)
0.703154 + 0.711037i \(0.251774\pi\)
\(380\) 123.290 95.8868i 0.324448 0.252334i
\(381\) −1041.76 431.513i −2.73429 1.13258i
\(382\) −312.359 + 107.168i −0.817695 + 0.280545i
\(383\) 443.315i 1.15748i 0.815512 + 0.578741i \(0.196456\pi\)
−0.815512 + 0.578741i \(0.803544\pi\)
\(384\) −241.770 662.211i −0.629608 1.72451i
\(385\) 117.500 + 3.51247i 0.305195 + 0.00912331i
\(386\) 497.244 170.601i 1.28820 0.441970i
\(387\) 495.058 1195.18i 1.27922 3.08831i
\(388\) 21.7717 + 27.9937i 0.0561125 + 0.0721488i
\(389\) −234.282 + 97.0428i −0.602268 + 0.249467i −0.662918 0.748692i \(-0.730682\pi\)
0.0606509 + 0.998159i \(0.480682\pi\)
\(390\) −673.645 41.9490i −1.72729 0.107562i
\(391\) −49.2549 49.2549i −0.125972 0.125972i
\(392\) −314.646 233.799i −0.802667 0.596427i
\(393\) 810.421 + 810.421i 2.06214 + 2.06214i
\(394\) 134.097 118.375i 0.340347 0.300444i
\(395\) −246.782 + 102.220i −0.624764 + 0.258786i
\(396\) 148.861 + 541.419i 0.375912 + 1.36722i
\(397\) −227.661 + 549.622i −0.573453 + 1.38444i 0.325144 + 0.945664i \(0.394587\pi\)
−0.898597 + 0.438774i \(0.855413\pi\)
\(398\) 298.050 + 145.777i 0.748869 + 0.366273i
\(399\) 589.606 + 17.6253i 1.47771 + 0.0441737i
\(400\) −151.223 254.215i −0.378057 0.635538i
\(401\) 595.500i 1.48504i −0.669826 0.742518i \(-0.733631\pi\)
0.669826 0.742518i \(-0.266369\pi\)
\(402\) −4.21877 + 8.62555i −0.0104944 + 0.0214566i
\(403\) −579.918 240.210i −1.43900 0.596054i
\(404\) 283.346 + 161.137i 0.701350 + 0.398853i
\(405\) 429.353 177.844i 1.06013 0.439120i
\(406\) −294.897 + 245.040i −0.726346 + 0.603548i
\(407\) −112.645 112.645i −0.276770 0.276770i
\(408\) −471.109 + 321.490i −1.15468 + 0.787967i
\(409\) 369.737 + 369.737i 0.904002 + 0.904002i 0.995780 0.0917776i \(-0.0292549\pi\)
−0.0917776 + 0.995780i \(0.529255\pi\)
\(410\) 12.2273 + 0.761418i 0.0298228 + 0.00185712i
\(411\) −48.6641 117.486i −0.118404 0.285853i
\(412\) 15.0207 + 1.87801i 0.0364580 + 0.00455828i
\(413\) −192.154 + 427.318i −0.465264 + 1.03467i
\(414\) −74.5071 217.164i −0.179969 0.524550i
\(415\) −149.376 −0.359943
\(416\) 731.478 + 235.085i 1.75836 + 0.565107i
\(417\) 169.363 0.406146
\(418\) 190.463 65.3464i 0.455653 0.156331i
\(419\) 496.820 + 205.790i 1.18573 + 0.491145i 0.886362 0.462993i \(-0.153225\pi\)
0.299367 + 0.954138i \(0.403225\pi\)
\(420\) −60.4720 + 388.880i −0.143981 + 0.925905i
\(421\) 293.755 121.677i 0.697754 0.289019i −0.00547243 0.999985i \(-0.501742\pi\)
0.703227 + 0.710966i \(0.251742\pi\)
\(422\) 783.686 + 48.8015i 1.85708 + 0.115643i
\(423\) −962.721 962.721i −2.27594 2.27594i
\(424\) 611.749 + 115.480i 1.44280 + 0.272358i
\(425\) −169.218 + 169.218i −0.398161 + 0.398161i
\(426\) 567.554 501.012i 1.33229 1.17609i
\(427\) 126.186 + 332.401i 0.295518 + 0.778457i
\(428\) −628.914 357.659i −1.46943 0.835653i
\(429\) −803.922 332.996i −1.87394 0.776213i
\(430\) 135.990 278.041i 0.316256 0.646606i
\(431\) 5.12246i 0.0118851i 0.999982 + 0.00594253i \(0.00189158\pi\)
−0.999982 + 0.00594253i \(0.998108\pi\)
\(432\) −1075.56 + 155.886i −2.48971 + 0.360848i
\(433\) 684.828 1.58159 0.790795 0.612082i \(-0.209668\pi\)
0.790795 + 0.612082i \(0.209668\pi\)
\(434\) −170.560 + 323.831i −0.392996 + 0.746155i
\(435\) 355.635 + 147.309i 0.817552 + 0.338641i
\(436\) −6.15332 + 1.69183i −0.0141131 + 0.00388035i
\(437\) −76.0651 + 31.5072i −0.174062 + 0.0720988i
\(438\) 807.065 712.443i 1.84261 1.62658i
\(439\) −20.8767 + 20.8767i −0.0475552 + 0.0475552i −0.730484 0.682929i \(-0.760706\pi\)
0.682929 + 0.730484i \(0.260706\pi\)
\(440\) 27.4963 + 131.502i 0.0624916 + 0.298868i
\(441\) −781.983 + 693.679i −1.77320 + 1.57297i
\(442\) 38.6340 620.411i 0.0874073 1.40364i
\(443\) 188.599 78.1204i 0.425732 0.176344i −0.159521 0.987194i \(-0.550995\pi\)
0.585253 + 0.810851i \(0.300995\pi\)
\(444\) 420.999 327.425i 0.948195 0.737443i
\(445\) −66.2895 + 160.037i −0.148965 + 0.359634i
\(446\) −17.5946 51.2825i −0.0394498 0.114983i
\(447\) 250.888i 0.561270i
\(448\) 175.710 412.104i 0.392210 0.919876i
\(449\) 111.048 0.247323 0.123661 0.992324i \(-0.460536\pi\)
0.123661 + 0.992324i \(0.460536\pi\)
\(450\) −746.080 + 255.974i −1.65796 + 0.568832i
\(451\) 14.5920 + 6.04421i 0.0323548 + 0.0134018i
\(452\) 105.085 + 135.117i 0.232488 + 0.298930i
\(453\) −19.8832 48.0023i −0.0438923 0.105965i
\(454\) −427.410 26.6155i −0.941431 0.0586246i
\(455\) −294.098 312.223i −0.646369 0.686204i
\(456\) 137.974 + 659.866i 0.302575 + 1.44707i
\(457\) 144.681 + 144.681i 0.316588 + 0.316588i 0.847455 0.530867i \(-0.178134\pi\)
−0.530867 + 0.847455i \(0.678134\pi\)
\(458\) −522.371 591.750i −1.14055 1.29203i
\(459\) 336.481 + 812.338i 0.733075 + 1.76980i
\(460\) −14.5627 52.9656i −0.0316580 0.115143i
\(461\) −220.262 + 531.760i −0.477792 + 1.15349i 0.482850 + 0.875703i \(0.339602\pi\)
−0.960642 + 0.277790i \(0.910398\pi\)
\(462\) −236.443 + 448.918i −0.511781 + 0.971683i
\(463\) 756.952i 1.63489i 0.576009 + 0.817443i \(0.304609\pi\)
−0.576009 + 0.817443i \(0.695391\pi\)
\(464\) −351.088 262.200i −0.756654 0.565087i
\(465\) 367.453 0.790221
\(466\) −599.465 293.199i −1.28641 0.629182i
\(467\) 263.945 637.220i 0.565193 1.36450i −0.340373 0.940291i \(-0.610553\pi\)
0.905566 0.424206i \(-0.139447\pi\)
\(468\) 1012.83 1780.98i 2.16418 3.80552i
\(469\) −5.70476 + 2.16564i −0.0121637 + 0.00461757i
\(470\) −215.577 244.209i −0.458675 0.519593i
\(471\) 11.9558 + 11.9558i 0.0253839 + 0.0253839i
\(472\) −526.174 99.3258i −1.11478 0.210436i
\(473\) 282.160 282.160i 0.596532 0.596532i
\(474\) 71.6552 1150.69i 0.151171 2.42761i
\(475\) 108.245 + 261.327i 0.227884 + 0.550161i
\(476\) −358.149 55.6932i −0.752414 0.117003i
\(477\) 635.299 1533.75i 1.33186 3.21540i
\(478\) −119.435 348.114i −0.249864 0.728271i
\(479\) 381.484i 0.796417i −0.917295 0.398209i \(-0.869632\pi\)
0.917295 0.398209i \(-0.130368\pi\)
\(480\) −448.274 + 36.7246i −0.933904 + 0.0765096i
\(481\) 581.270i 1.20846i
\(482\) −480.030 + 164.695i −0.995913 + 0.341690i
\(483\) 85.0814 189.206i 0.176152 0.391732i
\(484\) 38.5584 308.398i 0.0796662 0.637185i
\(485\) 20.9038 8.65862i 0.0431005 0.0178528i
\(486\) −48.6774 + 781.694i −0.100159 + 1.60842i
\(487\) 72.7819 72.7819i 0.149449 0.149449i −0.628423 0.777872i \(-0.716299\pi\)
0.777872 + 0.628423i \(0.216299\pi\)
\(488\) −335.636 + 229.042i −0.687778 + 0.469348i
\(489\) 742.277 742.277i 1.51795 1.51795i
\(490\) −197.049 + 154.019i −0.402141 + 0.314325i
\(491\) 40.6981 + 98.2539i 0.0828882 + 0.200110i 0.959890 0.280378i \(-0.0904597\pi\)
−0.877002 + 0.480488i \(0.840460\pi\)
\(492\) −26.1398 + 45.9647i −0.0531298 + 0.0934243i
\(493\) −135.668 + 327.532i −0.275189 + 0.664364i
\(494\) −660.011 322.812i −1.33605 0.653466i
\(495\) 358.250 0.723737
\(496\) −405.412 102.986i −0.817363 0.207633i
\(497\) 480.887 + 14.3754i 0.967580 + 0.0289242i
\(498\) 283.273 579.171i 0.568822 1.16299i
\(499\) −121.759 50.4340i −0.244005 0.101070i 0.257330 0.966324i \(-0.417157\pi\)
−0.501335 + 0.865253i \(0.667157\pi\)
\(500\) −428.039 + 117.688i −0.856079 + 0.235376i
\(501\) −5.95433 14.3750i −0.0118849 0.0286926i
\(502\) 380.790 + 431.364i 0.758546 + 0.859292i
\(503\) 265.041 265.041i 0.526920 0.526920i −0.392733 0.919653i \(-0.628470\pi\)
0.919653 + 0.392733i \(0.128470\pi\)
\(504\) −979.767 683.551i −1.94398 1.35625i
\(505\) 147.054 147.054i 0.291196 0.291196i
\(506\) 4.40145 70.6814i 0.00869852 0.139687i
\(507\) 858.841 + 2073.43i 1.69397 + 4.08960i
\(508\) 646.452 502.767i 1.27254 0.989700i
\(509\) 238.605 + 98.8333i 0.468771 + 0.194171i 0.604549 0.796568i \(-0.293353\pi\)
−0.135778 + 0.990739i \(0.543353\pi\)
\(510\) 118.091 + 344.196i 0.231551 + 0.674893i
\(511\) 683.824 + 20.4418i 1.33821 + 0.0400036i
\(512\) 504.875 + 85.1191i 0.986084 + 0.166248i
\(513\) 1039.27 2.02586
\(514\) −12.8055 37.3239i −0.0249135 0.0726146i
\(515\) 3.69595 8.92280i 0.00717659 0.0173258i
\(516\) 820.149 + 1054.54i 1.58944 + 2.04368i
\(517\) −160.712 387.993i −0.310855 0.750470i
\(518\) 337.495 + 31.1633i 0.651535 + 0.0601608i
\(519\) −712.546 + 712.546i −1.37292 + 1.37292i
\(520\) 268.343 410.229i 0.516045 0.788902i
\(521\) 304.312 304.312i 0.584092 0.584092i −0.351933 0.936025i \(-0.614476\pi\)
0.936025 + 0.351933i \(0.114476\pi\)
\(522\) −876.004 + 773.299i −1.67817 + 1.48142i
\(523\) −655.653 + 271.580i −1.25364 + 0.519274i −0.907951 0.419076i \(-0.862354\pi\)
−0.345687 + 0.938350i \(0.612354\pi\)
\(524\) −802.608 + 220.674i −1.53170 + 0.421134i
\(525\) −650.031 292.303i −1.23815 0.556767i
\(526\) −153.728 + 314.307i −0.292258 + 0.597542i
\(527\) 338.415i 0.642154i
\(528\) −562.010 142.766i −1.06441 0.270390i
\(529\) 500.044i 0.945263i
\(530\) 174.513 356.805i 0.329271 0.673216i
\(531\) −546.430 + 1319.20i −1.02906 + 2.48437i
\(532\) −222.815 + 365.906i −0.418825 + 0.687794i
\(533\) −22.0541 53.2433i −0.0413773 0.0998937i
\(534\) −494.796 560.512i −0.926584 1.04965i
\(535\) −326.402 + 326.402i −0.610096 + 0.610096i
\(536\) −3.93088 5.76027i −0.00733372 0.0107468i
\(537\) −741.433 741.433i −1.38069 1.38069i
\(538\) −28.9626 + 465.100i −0.0538337 + 0.864497i
\(539\) −304.729 + 105.376i −0.565361 + 0.195503i
\(540\) −86.0231 + 688.029i −0.159302 + 1.27413i
\(541\) −36.8197 + 88.8907i −0.0680586 + 0.164308i −0.954249 0.299013i \(-0.903342\pi\)
0.886190 + 0.463321i \(0.153342\pi\)
\(542\) 399.225 136.971i 0.736578 0.252714i
\(543\) −694.942 −1.27982
\(544\) −33.8225 412.849i −0.0621737 0.758915i
\(545\) 4.07157i 0.00747078i
\(546\) 1768.29 548.204i 3.23863 1.00404i
\(547\) −158.179 + 381.878i −0.289176 + 0.698132i −0.999986 0.00525185i \(-0.998328\pi\)
0.710811 + 0.703383i \(0.248328\pi\)
\(548\) 91.6438 + 11.4581i 0.167233 + 0.0209089i
\(549\) 414.658 + 1001.07i 0.755298 + 1.82345i
\(550\) −242.831 15.1215i −0.441510 0.0274936i
\(551\) 296.298 + 296.298i 0.537746 + 0.537746i
\(552\) 232.978 + 43.9791i 0.422061 + 0.0796724i
\(553\) 533.324 502.363i 0.964419 0.908433i
\(554\) −412.672 467.481i −0.744896 0.843828i
\(555\) −130.217 314.372i −0.234626 0.566436i
\(556\) −60.8066 + 106.923i −0.109364 + 0.192308i
\(557\) 911.509 + 377.560i 1.63646 + 0.677845i 0.995934 0.0900898i \(-0.0287154\pi\)
0.640528 + 0.767935i \(0.278715\pi\)
\(558\) −490.075 + 1001.99i −0.878270 + 1.79568i
\(559\) −1455.99 −2.60464
\(560\) −223.799 177.798i −0.399641 0.317496i
\(561\) 469.135i 0.836247i
\(562\) 210.914 431.227i 0.375291 0.767308i
\(563\) −84.5886 + 204.215i −0.150246 + 0.362726i −0.981026 0.193874i \(-0.937895\pi\)
0.830780 + 0.556601i \(0.187895\pi\)
\(564\) 1355.68 372.738i 2.40368 0.660884i
\(565\) 100.895 41.7923i 0.178576 0.0739686i
\(566\) −35.7297 40.4751i −0.0631267 0.0715108i
\(567\) −927.881 + 874.016i −1.63647 + 1.54147i
\(568\) 112.533 + 538.192i 0.198121 + 0.947521i
\(569\) 437.146 437.146i 0.768271 0.768271i −0.209531 0.977802i \(-0.567194\pi\)
0.977802 + 0.209531i \(0.0671937\pi\)
\(570\) 429.275 + 26.7317i 0.753114 + 0.0468977i
\(571\) −174.532 + 72.2933i −0.305659 + 0.126608i −0.530241 0.847847i \(-0.677899\pi\)
0.224581 + 0.974455i \(0.427899\pi\)
\(572\) 498.863 387.982i 0.872138 0.678291i
\(573\) −840.161 348.006i −1.46625 0.607341i
\(574\) −32.0963 + 9.95047i −0.0559169 + 0.0173353i
\(575\) 99.4805 0.173010
\(576\) 497.724 1271.36i 0.864103 2.20722i
\(577\) 92.1486i 0.159703i 0.996807 + 0.0798515i \(0.0254446\pi\)
−0.996807 + 0.0798515i \(0.974555\pi\)
\(578\) 229.721 78.8156i 0.397442 0.136359i
\(579\) 1337.45 + 553.990i 2.30993 + 0.956805i
\(580\) −220.685 + 171.634i −0.380491 + 0.295920i
\(581\) 383.052 145.414i 0.659297 0.250282i
\(582\) −6.06959 + 97.4694i −0.0104288 + 0.167473i
\(583\) 362.090 362.090i 0.621081 0.621081i
\(584\) 160.023 + 765.312i 0.274011 + 1.31047i
\(585\) −924.317 924.317i −1.58003 1.58003i
\(586\) 4.17319 + 4.72745i 0.00712148 + 0.00806731i
\(587\) 539.361 223.411i 0.918843 0.380597i 0.127408 0.991850i \(-0.459334\pi\)
0.791435 + 0.611253i \(0.209334\pi\)
\(588\) −223.494 1056.09i −0.380092 1.79607i
\(589\) 369.548 + 153.072i 0.627416 + 0.259884i
\(590\) −150.102 + 306.893i −0.254410 + 0.520157i
\(591\) 492.568 0.833448
\(592\) 55.5602 + 383.344i 0.0938517 + 0.647540i
\(593\) −446.001 −0.752110 −0.376055 0.926597i \(-0.622720\pi\)
−0.376055 + 0.926597i \(0.622720\pi\)
\(594\) −392.760 + 803.024i −0.661212 + 1.35189i
\(595\) −94.8395 + 210.907i −0.159394 + 0.354465i
\(596\) −158.392 90.0767i −0.265759 0.151135i
\(597\) 349.648 + 844.124i 0.585675 + 1.41394i
\(598\) −193.720 + 171.008i −0.323947 + 0.285967i
\(599\) 262.791 + 262.791i 0.438716 + 0.438716i 0.891580 0.452864i \(-0.149598\pi\)
−0.452864 + 0.891580i \(0.649598\pi\)
\(600\) 151.093 800.410i 0.251822 1.33402i
\(601\) 21.0456 + 21.0456i 0.0350177 + 0.0350177i 0.724399 0.689381i \(-0.242117\pi\)
−0.689381 + 0.724399i \(0.742117\pi\)
\(602\) −78.0593 + 845.373i −0.129667 + 1.40427i
\(603\) −17.1807 + 7.11648i −0.0284920 + 0.0118018i
\(604\) 37.4439 + 4.68154i 0.0619932 + 0.00775090i
\(605\) −183.199 75.8834i −0.302808 0.125427i
\(606\) 291.298 + 849.037i 0.480690 + 1.40105i
\(607\) 261.327i 0.430523i −0.976556 0.215261i \(-0.930940\pi\)
0.976556 0.215261i \(-0.0690604\pi\)
\(608\) −466.129 149.806i −0.766659 0.246391i
\(609\) −1055.37 31.5486i −1.73296 0.0518040i
\(610\) 84.1323 + 245.218i 0.137922 + 0.401996i
\(611\) −586.406 + 1415.71i −0.959747 + 2.31704i
\(612\) −1096.07 137.040i −1.79096 0.223921i
\(613\) −776.638 + 321.694i −1.26695 + 0.524786i −0.912034 0.410114i \(-0.865489\pi\)
−0.354911 + 0.934900i \(0.615489\pi\)
\(614\) 34.1567 548.510i 0.0556297 0.893339i
\(615\) 23.8553 + 23.8553i 0.0387892 + 0.0387892i
\(616\) −198.523 310.448i −0.322278 0.503975i
\(617\) −69.8903 69.8903i −0.113274 0.113274i 0.648198 0.761472i \(-0.275523\pi\)
−0.761472 + 0.648198i \(0.775523\pi\)
\(618\) 27.5872 + 31.2511i 0.0446394 + 0.0505682i
\(619\) −243.628 + 100.914i −0.393583 + 0.163027i −0.570693 0.821164i \(-0.693325\pi\)
0.177110 + 0.984191i \(0.443325\pi\)
\(620\) −131.927 + 231.983i −0.212786 + 0.374166i
\(621\) 139.874 337.685i 0.225240 0.543777i
\(622\) −383.077 + 783.226i −0.615879 + 1.25921i
\(623\) 14.1970 474.920i 0.0227881 0.762312i
\(624\) 1081.69 + 1818.39i 1.73347 + 2.91408i
\(625\) 178.949i 0.286318i
\(626\) 126.949 + 62.0907i 0.202793 + 0.0991864i
\(627\) 512.293 + 212.199i 0.817055 + 0.338435i
\(628\) −11.8405 + 3.25551i −0.0188544 + 0.00518394i
\(629\) 289.529 119.927i 0.460301 0.190663i
\(630\) −586.228 + 487.118i −0.930520 + 0.773204i
\(631\) −722.309 722.309i −1.14471 1.14471i −0.987578 0.157127i \(-0.949777\pi\)
−0.157127 0.987578i \(-0.550223\pi\)
\(632\) 700.733 + 458.371i 1.10875 + 0.725270i
\(633\) 1528.96 + 1528.96i 2.41541 + 2.41541i
\(634\) 26.1940 420.640i 0.0413154 0.663470i
\(635\) −199.951 482.725i −0.314884 0.760197i
\(636\) 1052.48 + 1353.27i 1.65485 + 2.12778i
\(637\) 1058.11 + 514.349i 1.66108 + 0.807456i
\(638\) −340.921 + 116.967i −0.534359 + 0.183335i
\(639\) 1466.19 2.29451
\(640\) 137.759 296.193i 0.215249 0.462801i
\(641\) −685.507 −1.06943 −0.534717 0.845031i \(-0.679582\pi\)
−0.534717 + 0.845031i \(0.679582\pi\)
\(642\) −646.566 1884.52i −1.00711 2.93540i
\(643\) −336.431 139.354i −0.523220 0.216725i 0.105411 0.994429i \(-0.466384\pi\)
−0.628631 + 0.777704i \(0.716384\pi\)
\(644\) 88.9043 + 121.645i 0.138050 + 0.188890i
\(645\) 787.454 326.174i 1.22086 0.505697i
\(646\) −24.6192 + 395.352i −0.0381103 + 0.612000i
\(647\) 262.641 + 262.641i 0.405936 + 0.405936i 0.880319 0.474383i \(-0.157329\pi\)
−0.474383 + 0.880319i \(0.657329\pi\)
\(648\) −1219.14 797.477i −1.88139 1.23067i
\(649\) −311.439 + 311.439i −0.479876 + 0.479876i
\(650\) 587.510 + 665.539i 0.903861 + 1.02391i
\(651\) −942.274 + 357.706i −1.44743 + 0.549471i
\(652\) 202.119 + 735.121i 0.309998 + 1.12749i
\(653\) 639.834 + 265.028i 0.979838 + 0.405862i 0.814366 0.580352i \(-0.197085\pi\)
0.165472 + 0.986214i \(0.447085\pi\)
\(654\) −15.7866 7.72123i −0.0241385 0.0118062i
\(655\) 531.075i 0.810802i
\(656\) −19.6338 33.0056i −0.0299295 0.0503134i
\(657\) 2084.94 3.17342
\(658\) 790.545 + 416.376i 1.20144 + 0.632790i
\(659\) −695.726 288.179i −1.05573 0.437297i −0.213796 0.976878i \(-0.568583\pi\)
−0.841934 + 0.539581i \(0.818583\pi\)
\(660\) −182.887 + 321.591i −0.277101 + 0.487259i
\(661\) −595.117 + 246.506i −0.900329 + 0.372928i −0.784347 0.620323i \(-0.787002\pi\)
−0.115982 + 0.993251i \(0.537002\pi\)
\(662\) 496.682 + 562.649i 0.750275 + 0.849923i
\(663\) 1210.41 1210.41i 1.82566 1.82566i
\(664\) 263.943 + 386.779i 0.397504 + 0.582499i
\(665\) 187.412 + 198.962i 0.281822 + 0.299191i
\(666\) 1030.92 + 64.1971i 1.54793 + 0.0963921i
\(667\) 136.153 56.3966i 0.204128 0.0845527i
\(668\) 11.2131 + 1.40196i 0.0167861 + 0.00209874i
\(669\) 57.1349 137.936i 0.0854034 0.206182i
\(670\) −4.20849 + 1.44390i −0.00628133 + 0.00215508i
\(671\) 334.229i 0.498106i
\(672\) 1113.78 530.557i 1.65741 0.789520i
\(673\) −124.014 −0.184271 −0.0921355 0.995746i \(-0.529369\pi\)
−0.0921355 + 0.995746i \(0.529369\pi\)
\(674\) −284.290 828.612i −0.421795 1.22939i
\(675\) −1160.14 480.546i −1.71873 0.711920i
\(676\) −1617.36 202.216i −2.39255 0.299136i
\(677\) −235.888 569.484i −0.348431 0.841188i −0.996806 0.0798661i \(-0.974551\pi\)
0.648374 0.761322i \(1.72455\pi\)
\(678\) −29.2959 + 470.452i −0.0432093 + 0.693882i
\(679\) −45.1754 + 42.5529i −0.0665323 + 0.0626700i
\(680\) −259.698 49.0232i −0.381909 0.0720929i
\(681\) −833.869 833.869i −1.22448 1.22448i
\(682\) −257.936 + 227.695i −0.378205 + 0.333863i
\(683\) −473.632 1143.45i −0.693459 1.67416i −0.737693 0.675137i \(-0.764085\pi\)
0.0442338 0.999021i \(-0.485915\pi\)
\(684\) −645.421 + 1134.92i −0.943598 + 1.65924i
\(685\) 22.5496 54.4396i 0.0329191 0.0794738i
\(686\) 355.367 586.779i 0.518028 0.855364i
\(687\) 2173.63i 3.16394i
\(688\) −960.218 + 139.170i −1.39567 + 0.202282i
\(689\) −1868.45 −2.71183
\(690\) 66.4615 135.885i 0.0963210 0.196935i
\(691\) −318.457 + 768.824i −0.460864 + 1.11262i 0.507179 + 0.861841i \(0.330688\pi\)
−0.968043 + 0.250784i \(0.919312\pi\)
\(692\) −194.023 705.677i −0.280380 1.01976i
\(693\) −918.675 + 348.747i −1.32565 + 0.503242i
\(694\) −16.9514 + 14.9639i −0.0244256 + 0.0215619i
\(695\) 55.4924 + 55.4924i 0.0798452 + 0.0798452i
\(696\) −246.969 1181.13i −0.354840 1.69703i
\(697\) −21.9702 + 21.9702i −0.0315211 + 0.0315211i
\(698\) −73.5859 4.58232i −0.105424 0.00656493i
\(699\) −703.243 1697.78i −1.00607 2.42887i
\(700\) 417.921 305.437i 0.597029 0.436338i
\(701\) −488.956 + 1180.44i −0.697512 + 1.68394i 0.0315568 + 0.999502i \(0.489953\pi\)
−0.729069 + 0.684441i \(0.760047\pi\)
\(702\) 3085.23 1058.52i 4.39491 1.50786i
\(703\) 370.410i 0.526899i
\(704\) 291.912 303.555i 0.414647 0.431186i
\(705\) 897.034i 1.27239i
\(706\) 356.585 + 1039.33i 0.505078 + 1.47213i
\(707\) −233.943 + 520.250i −0.330896 + 0.735856i
\(708\) −905.256 1163.97i −1.27861 1.64402i
\(709\) −463.982 + 192.187i −0.654417 + 0.271068i −0.685087 0.728461i \(-0.740236\pi\)
0.0306702 + 0.999530i \(0.490236\pi\)
\(710\) 350.120 + 21.8026i 0.493127 + 0.0307078i
\(711\) 1578.87 1578.87i 2.22063 2.22063i
\(712\) 531.514 111.137i 0.746508 0.156091i
\(713\) 99.4742 99.4742i 0.139515 0.139515i
\(714\) −637.891 767.676i −0.893404 1.07518i
\(715\) −154.301 372.516i −0.215806 0.521001i
\(716\) 734.285 201.889i 1.02554 0.281968i
\(717\) 387.841 936.331i 0.540922 1.30590i
\(718\) 31.0590 63.5022i 0.0432576 0.0884431i
\(719\) −713.239 −0.991987 −0.495994 0.868326i \(-0.665196\pi\)
−0.495994 + 0.868326i \(0.665196\pi\)
\(720\) −697.931 521.231i −0.969348 0.723931i
\(721\) −0.791548 + 26.4790i −0.00109785 + 0.0367254i
\(722\) −227.992 111.511i −0.315779 0.154448i
\(723\) −1291.15 534.812i −1.78582 0.739712i
\(724\) 249.506 438.736i 0.344622 0.605989i
\(725\) −193.754 467.764i −0.267247 0.645192i
\(726\) 641.634 566.407i 0.883793 0.780175i
\(727\) 118.043 118.043i 0.162370 0.162370i −0.621246 0.783616i \(-0.713373\pi\)
0.783616 + 0.621246i \(0.213373\pi\)
\(728\) −288.776 + 1313.19i −0.396671 + 1.80384i
\(729\) −366.191 + 366.191i −0.502319 + 0.502319i
\(730\) 497.873 + 31.0034i 0.682017 + 0.0424704i
\(731\) 300.399 + 725.227i 0.410942 + 0.992102i
\(732\) −1110.32 138.821i −1.51683 0.189647i
\(733\) −92.9778 38.5127i −0.126846 0.0525411i 0.318358 0.947971i \(-0.396869\pi\)
−0.445203 + 0.895429i \(0.646869\pi\)
\(734\) −632.914 + 217.148i −0.862281 + 0.295842i
\(735\) −687.489 41.1395i −0.935359 0.0559722i
\(736\) −111.412 + 131.295i −0.151375 + 0.178390i
\(737\) −5.73613 −0.00778308
\(738\) −96.8661 + 33.2340i −0.131255 + 0.0450325i
\(739\) −270.592 + 653.266i −0.366159 + 0.883987i 0.628213 + 0.778042i \(0.283787\pi\)
−0.994372 + 0.105945i \(0.966213\pi\)
\(740\) 245.224 + 30.6599i 0.331384 + 0.0414323i
\(741\) −774.271 1869.25i −1.04490 2.52261i
\(742\) −100.172 + 1084.85i −0.135003 + 1.46207i
\(743\) −296.350 + 296.350i −0.398856 + 0.398856i −0.877829 0.478973i \(-0.841009\pi\)
0.478973 + 0.877829i \(0.341009\pi\)
\(744\) −649.276 951.443i −0.872683 1.27882i
\(745\) −82.2044 + 82.2044i −0.110341 + 0.110341i
\(746\) 55.7208 + 63.1213i 0.0746927 + 0.0846130i
\(747\) 1153.62 477.843i 1.54433 0.639683i
\(748\) −296.178 168.434i −0.395959 0.225180i
\(749\) 519.261 1154.75i 0.693273 1.54172i
\(750\) −1098.15 537.107i −1.46420 0.716142i
\(751\) 240.176i 0.319809i 0.987133 + 0.159904i \(0.0511186\pi\)
−0.987133 + 0.159904i \(0.948881\pi\)
\(752\) −251.411 + 989.701i −0.334324 + 1.31609i
\(753\) 1584.50i 2.10425i
\(754\) 1181.39 + 577.821i 1.56684 + 0.766341i
\(755\) 9.21333 22.2430i 0.0122031 0.0294609i
\(756\) −449.186 1848.08i −0.594162 2.44455i
\(757\) −110.643 267.117i