Properties

Label 280.3.c.g.69.8
Level $280$
Weight $3$
Character 280.69
Analytic conductor $7.629$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 280.c (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.62944740209\)
Analytic rank: \(0\)
Dimension: \(80\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 69.8
Character \(\chi\) \(=\) 280.69
Dual form 280.3.c.g.69.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.94895 + 0.448973i) q^{2} +3.68915i q^{3} +(3.59685 - 1.75006i) q^{4} +(-0.693644 - 4.95165i) q^{5} +(-1.65633 - 7.18999i) q^{6} +(4.51720 + 5.34742i) q^{7} +(-6.22436 + 5.02567i) q^{8} -4.60986 q^{9} +O(q^{10})\) \(q+(-1.94895 + 0.448973i) q^{2} +3.68915i q^{3} +(3.59685 - 1.75006i) q^{4} +(-0.693644 - 4.95165i) q^{5} +(-1.65633 - 7.18999i) q^{6} +(4.51720 + 5.34742i) q^{7} +(-6.22436 + 5.02567i) q^{8} -4.60986 q^{9} +(3.57504 + 9.33912i) q^{10} -10.2130i q^{11} +(6.45623 + 13.2693i) q^{12} +14.4358i q^{13} +(-11.2047 - 8.39377i) q^{14} +(18.2674 - 2.55896i) q^{15} +(9.87460 - 12.5894i) q^{16} +16.4391 q^{17} +(8.98441 - 2.06970i) q^{18} +31.0538 q^{19} +(-11.1606 - 16.5964i) q^{20} +(-19.7275 + 16.6647i) q^{21} +(4.58538 + 19.9048i) q^{22} -20.2273i q^{23} +(-18.5405 - 22.9626i) q^{24} +(-24.0377 + 6.86937i) q^{25} +(-6.48130 - 28.1348i) q^{26} +16.1959i q^{27} +(25.6060 + 11.3285i) q^{28} +56.8127i q^{29} +(-34.4534 + 13.1889i) q^{30} +25.7499i q^{31} +(-13.5929 + 28.9695i) q^{32} +37.6775 q^{33} +(-32.0391 + 7.38073i) q^{34} +(23.3452 - 26.0768i) q^{35} +(-16.5810 + 8.06752i) q^{36} -66.0553 q^{37} +(-60.5225 + 13.9423i) q^{38} -53.2560 q^{39} +(29.2029 + 27.3348i) q^{40} -0.504264i q^{41} +(30.9659 - 41.3358i) q^{42} +26.2293 q^{43} +(-17.8734 - 36.7347i) q^{44} +(3.19760 + 22.8264i) q^{45} +(9.08150 + 39.4220i) q^{46} -20.2286 q^{47} +(46.4441 + 36.4289i) q^{48} +(-8.18977 + 48.3107i) q^{49} +(43.7642 - 24.1804i) q^{50} +60.6465i q^{51} +(25.2635 + 51.9234i) q^{52} +53.0620 q^{53} +(-7.27153 - 31.5651i) q^{54} +(-50.5714 + 7.08422i) q^{55} +(-54.9910 - 10.5823i) q^{56} +114.562i q^{57} +(-25.5074 - 110.725i) q^{58} +59.3867 q^{59} +(61.2267 - 41.1732i) q^{60} +69.5062 q^{61} +(-11.5610 - 50.1853i) q^{62} +(-20.8237 - 24.6509i) q^{63} +(13.4853 - 62.5631i) q^{64} +(71.4812 - 10.0133i) q^{65} +(-73.4317 + 16.9162i) q^{66} -61.9289 q^{67} +(59.1291 - 28.7694i) q^{68} +74.6215 q^{69} +(-33.7910 + 61.3039i) q^{70} -25.5504 q^{71} +(28.6934 - 23.1676i) q^{72} -34.7213 q^{73} +(128.739 - 29.6571i) q^{74} +(-25.3422 - 88.6788i) q^{75} +(111.696 - 54.3460i) q^{76} +(54.6134 - 46.1344i) q^{77} +(103.793 - 23.9105i) q^{78} +64.4865 q^{79} +(-69.1876 - 40.1631i) q^{80} -101.238 q^{81} +(0.226401 + 0.982788i) q^{82} -9.27026i q^{83} +(-41.7925 + 94.4644i) q^{84} +(-11.4029 - 81.4009i) q^{85} +(-51.1197 + 11.7762i) q^{86} -209.591 q^{87} +(51.3274 + 63.5697i) q^{88} -22.0650i q^{89} +(-16.4804 - 43.0520i) q^{90} +(-77.1944 + 65.2095i) q^{91} +(-35.3989 - 72.7544i) q^{92} -94.9952 q^{93} +(39.4245 - 9.08208i) q^{94} +(-21.5403 - 153.768i) q^{95} +(-106.873 - 50.1462i) q^{96} +74.3644 q^{97} +(-5.72874 - 97.8324i) q^{98} +47.0807i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 12q^{4} - 224q^{9} + O(q^{10}) \) \( 80q + 12q^{4} - 224q^{9} + 92q^{14} - 72q^{15} - 172q^{16} - 104q^{25} - 68q^{30} - 564q^{36} - 112q^{39} - 40q^{44} - 224q^{46} + 192q^{49} + 332q^{50} - 356q^{56} + 124q^{60} + 396q^{64} + 472q^{65} + 352q^{70} + 800q^{71} + 672q^{74} + 480q^{79} - 896q^{81} + 408q^{84} + 528q^{86} + 1176q^{95} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.94895 + 0.448973i −0.974477 + 0.224487i
\(3\) 3.68915i 1.22972i 0.788637 + 0.614859i \(0.210787\pi\)
−0.788637 + 0.614859i \(0.789213\pi\)
\(4\) 3.59685 1.75006i 0.899212 0.437514i
\(5\) −0.693644 4.95165i −0.138729 0.990330i
\(6\) −1.65633 7.18999i −0.276055 1.19833i
\(7\) 4.51720 + 5.34742i 0.645315 + 0.763917i
\(8\) −6.22436 + 5.02567i −0.778045 + 0.628209i
\(9\) −4.60986 −0.512207
\(10\) 3.57504 + 9.33912i 0.357504 + 0.933912i
\(11\) 10.2130i 0.928458i −0.885715 0.464229i \(-0.846331\pi\)
0.885715 0.464229i \(-0.153669\pi\)
\(12\) 6.45623 + 13.2693i 0.538019 + 1.10578i
\(13\) 14.4358i 1.11045i 0.831701 + 0.555224i \(0.187367\pi\)
−0.831701 + 0.555224i \(0.812633\pi\)
\(14\) −11.2047 8.39377i −0.800333 0.599555i
\(15\) 18.2674 2.55896i 1.21783 0.170597i
\(16\) 9.87460 12.5894i 0.617163 0.786836i
\(17\) 16.4391 0.967008 0.483504 0.875342i \(-0.339364\pi\)
0.483504 + 0.875342i \(0.339364\pi\)
\(18\) 8.98441 2.06970i 0.499134 0.114984i
\(19\) 31.0538 1.63441 0.817206 0.576346i \(-0.195522\pi\)
0.817206 + 0.576346i \(0.195522\pi\)
\(20\) −11.1606 16.5964i −0.558030 0.829821i
\(21\) −19.7275 + 16.6647i −0.939403 + 0.793555i
\(22\) 4.58538 + 19.9048i 0.208427 + 0.904762i
\(23\) 20.2273i 0.879446i −0.898133 0.439723i \(-0.855077\pi\)
0.898133 0.439723i \(-0.144923\pi\)
\(24\) −18.5405 22.9626i −0.772519 0.956776i
\(25\) −24.0377 + 6.86937i −0.961509 + 0.274775i
\(26\) −6.48130 28.1348i −0.249281 1.08211i
\(27\) 16.1959i 0.599848i
\(28\) 25.6060 + 11.3285i 0.914499 + 0.404589i
\(29\) 56.8127i 1.95906i 0.201302 + 0.979529i \(0.435483\pi\)
−0.201302 + 0.979529i \(0.564517\pi\)
\(30\) −34.4534 + 13.1889i −1.14845 + 0.439629i
\(31\) 25.7499i 0.830641i 0.909675 + 0.415320i \(0.136331\pi\)
−0.909675 + 0.415320i \(0.863669\pi\)
\(32\) −13.5929 + 28.9695i −0.424777 + 0.905298i
\(33\) 37.6775 1.14174
\(34\) −32.0391 + 7.38073i −0.942327 + 0.217080i
\(35\) 23.3452 26.0768i 0.667006 0.745052i
\(36\) −16.5810 + 8.06752i −0.460582 + 0.224098i
\(37\) −66.0553 −1.78528 −0.892640 0.450771i \(-0.851149\pi\)
−0.892640 + 0.450771i \(0.851149\pi\)
\(38\) −60.5225 + 13.9423i −1.59270 + 0.366904i
\(39\) −53.2560 −1.36554
\(40\) 29.2029 + 27.3348i 0.730071 + 0.683371i
\(41\) 0.504264i 0.0122991i −0.999981 0.00614956i \(-0.998043\pi\)
0.999981 0.00614956i \(-0.00195748\pi\)
\(42\) 30.9659 41.3358i 0.737284 0.984185i
\(43\) 26.2293 0.609983 0.304992 0.952355i \(-0.401346\pi\)
0.304992 + 0.952355i \(0.401346\pi\)
\(44\) −17.8734 36.7347i −0.406214 0.834881i
\(45\) 3.19760 + 22.8264i 0.0710578 + 0.507254i
\(46\) 9.08150 + 39.4220i 0.197424 + 0.857000i
\(47\) −20.2286 −0.430395 −0.215197 0.976571i \(-0.569039\pi\)
−0.215197 + 0.976571i \(0.569039\pi\)
\(48\) 46.4441 + 36.4289i 0.967586 + 0.758936i
\(49\) −8.18977 + 48.3107i −0.167138 + 0.985933i
\(50\) 43.7642 24.1804i 0.875285 0.483608i
\(51\) 60.6465i 1.18915i
\(52\) 25.2635 + 51.9234i 0.485837 + 0.998528i
\(53\) 53.0620 1.00117 0.500585 0.865687i \(-0.333118\pi\)
0.500585 + 0.865687i \(0.333118\pi\)
\(54\) −7.27153 31.5651i −0.134658 0.584538i
\(55\) −50.5714 + 7.08422i −0.919481 + 0.128804i
\(56\) −54.9910 10.5823i −0.981983 0.188970i
\(57\) 114.562i 2.00987i
\(58\) −25.5074 110.725i −0.439782 1.90906i
\(59\) 59.3867 1.00655 0.503277 0.864125i \(-0.332127\pi\)
0.503277 + 0.864125i \(0.332127\pi\)
\(60\) 61.2267 41.1732i 1.02045 0.686220i
\(61\) 69.5062 1.13945 0.569723 0.821837i \(-0.307050\pi\)
0.569723 + 0.821837i \(0.307050\pi\)
\(62\) −11.5610 50.1853i −0.186468 0.809440i
\(63\) −20.8237 24.6509i −0.330535 0.391283i
\(64\) 13.4853 62.5631i 0.210708 0.977549i
\(65\) 71.4812 10.0133i 1.09971 0.154051i
\(66\) −73.4317 + 16.9162i −1.11260 + 0.256306i
\(67\) −61.9289 −0.924312 −0.462156 0.886799i \(-0.652924\pi\)
−0.462156 + 0.886799i \(0.652924\pi\)
\(68\) 59.1291 28.7694i 0.869545 0.423080i
\(69\) 74.6215 1.08147
\(70\) −33.7910 + 61.3039i −0.482728 + 0.875770i
\(71\) −25.5504 −0.359864 −0.179932 0.983679i \(-0.557588\pi\)
−0.179932 + 0.983679i \(0.557588\pi\)
\(72\) 28.6934 23.1676i 0.398520 0.321773i
\(73\) −34.7213 −0.475634 −0.237817 0.971310i \(-0.576432\pi\)
−0.237817 + 0.971310i \(0.576432\pi\)
\(74\) 128.739 29.6571i 1.73971 0.400771i
\(75\) −25.3422 88.6788i −0.337895 1.18238i
\(76\) 111.696 54.3460i 1.46968 0.715078i
\(77\) 54.6134 46.1344i 0.709265 0.599148i
\(78\) 103.793 23.9105i 1.33069 0.306545i
\(79\) 64.4865 0.816284 0.408142 0.912918i \(-0.366177\pi\)
0.408142 + 0.912918i \(0.366177\pi\)
\(80\) −69.1876 40.1631i −0.864845 0.502038i
\(81\) −101.238 −1.24985
\(82\) 0.226401 + 0.982788i 0.00276099 + 0.0119852i
\(83\) 9.27026i 0.111690i −0.998439 0.0558449i \(-0.982215\pi\)
0.998439 0.0558449i \(-0.0177852\pi\)
\(84\) −41.7925 + 94.4644i −0.497530 + 1.12458i
\(85\) −11.4029 81.4009i −0.134152 0.957658i
\(86\) −51.1197 + 11.7762i −0.594415 + 0.136933i
\(87\) −209.591 −2.40909
\(88\) 51.3274 + 63.5697i 0.583266 + 0.722382i
\(89\) 22.0650i 0.247921i −0.992287 0.123961i \(-0.960440\pi\)
0.992287 0.123961i \(-0.0395597\pi\)
\(90\) −16.4804 43.0520i −0.183116 0.478356i
\(91\) −77.1944 + 65.2095i −0.848290 + 0.716588i
\(92\) −35.3989 72.7544i −0.384770 0.790808i
\(93\) −94.9952 −1.02145
\(94\) 39.4245 9.08208i 0.419410 0.0966179i
\(95\) −21.5403 153.768i −0.226740 1.61861i
\(96\) −106.873 50.1462i −1.11326 0.522356i
\(97\) 74.3644 0.766643 0.383321 0.923615i \(-0.374780\pi\)
0.383321 + 0.923615i \(0.374780\pi\)
\(98\) −5.72874 97.8324i −0.0584565 0.998290i
\(99\) 47.0807i 0.475563i
\(100\) −74.4382 + 66.7754i −0.744382 + 0.667754i
\(101\) −104.960 −1.03920 −0.519602 0.854408i \(-0.673920\pi\)
−0.519602 + 0.854408i \(0.673920\pi\)
\(102\) −27.2287 118.197i −0.266948 1.15880i
\(103\) 59.3436 0.576151 0.288076 0.957608i \(-0.406985\pi\)
0.288076 + 0.957608i \(0.406985\pi\)
\(104\) −72.5497 89.8538i −0.697593 0.863979i
\(105\) 96.2014 + 86.1241i 0.916204 + 0.820230i
\(106\) −103.415 + 23.8234i −0.975617 + 0.224749i
\(107\) 168.968 1.57914 0.789571 0.613660i \(-0.210303\pi\)
0.789571 + 0.613660i \(0.210303\pi\)
\(108\) 28.3437 + 58.2542i 0.262442 + 0.539390i
\(109\) 40.5581i 0.372092i −0.982541 0.186046i \(-0.940433\pi\)
0.982541 0.186046i \(-0.0595674\pi\)
\(110\) 95.3808 36.5120i 0.867098 0.331928i
\(111\) 243.688i 2.19539i
\(112\) 111.926 4.06509i 0.999341 0.0362954i
\(113\) 145.160i 1.28460i −0.766453 0.642300i \(-0.777980\pi\)
0.766453 0.642300i \(-0.222020\pi\)
\(114\) −51.4354 223.277i −0.451188 1.95857i
\(115\) −100.158 + 14.0305i −0.870942 + 0.122005i
\(116\) 99.4254 + 204.347i 0.857116 + 1.76161i
\(117\) 66.5472i 0.568779i
\(118\) −115.742 + 26.6631i −0.980865 + 0.225958i
\(119\) 74.2589 + 87.9070i 0.624024 + 0.738714i
\(120\) −100.842 + 107.734i −0.840354 + 0.897782i
\(121\) 16.6937 0.137965
\(122\) −135.464 + 31.2064i −1.11036 + 0.255790i
\(123\) 1.86031 0.0151245
\(124\) 45.0637 + 92.6183i 0.363417 + 0.746922i
\(125\) 50.6883 + 114.262i 0.405507 + 0.914092i
\(126\) 51.6520 + 38.6941i 0.409936 + 0.307096i
\(127\) 131.272i 1.03364i −0.856094 0.516819i \(-0.827116\pi\)
0.856094 0.516819i \(-0.172884\pi\)
\(128\) 1.80691 + 127.987i 0.0141164 + 0.999900i
\(129\) 96.7639i 0.750108i
\(130\) −134.818 + 51.6087i −1.03706 + 0.396990i
\(131\) −47.1382 −0.359834 −0.179917 0.983682i \(-0.557583\pi\)
−0.179917 + 0.983682i \(0.557583\pi\)
\(132\) 135.520 65.9378i 1.02667 0.499528i
\(133\) 140.276 + 166.058i 1.05471 + 1.24856i
\(134\) 120.697 27.8044i 0.900721 0.207496i
\(135\) 80.1965 11.2342i 0.594048 0.0832162i
\(136\) −102.323 + 82.6177i −0.752376 + 0.607483i
\(137\) 48.2151i 0.351935i 0.984396 + 0.175967i \(0.0563053\pi\)
−0.984396 + 0.175967i \(0.943695\pi\)
\(138\) −145.434 + 33.5031i −1.05387 + 0.242776i
\(139\) 89.2672 0.642210 0.321105 0.947044i \(-0.395946\pi\)
0.321105 + 0.947044i \(0.395946\pi\)
\(140\) 38.3333 134.650i 0.273809 0.961784i
\(141\) 74.6263i 0.529264i
\(142\) 49.7965 11.4714i 0.350680 0.0807847i
\(143\) 147.434 1.03100
\(144\) −45.5206 + 58.0352i −0.316115 + 0.403023i
\(145\) 281.317 39.4078i 1.94012 0.271778i
\(146\) 67.6702 15.5889i 0.463495 0.106774i
\(147\) −178.226 30.2133i −1.21242 0.205533i
\(148\) −237.591 + 115.601i −1.60534 + 0.781085i
\(149\) 49.6284i 0.333077i 0.986035 + 0.166538i \(0.0532589\pi\)
−0.986035 + 0.166538i \(0.946741\pi\)
\(150\) 89.2051 + 161.453i 0.594701 + 1.07635i
\(151\) −65.9244 −0.436585 −0.218293 0.975883i \(-0.570049\pi\)
−0.218293 + 0.975883i \(0.570049\pi\)
\(152\) −193.290 + 156.066i −1.27165 + 1.02675i
\(153\) −75.7822 −0.495308
\(154\) −85.7260 + 114.434i −0.556662 + 0.743076i
\(155\) 127.504 17.8612i 0.822609 0.115234i
\(156\) −191.554 + 93.2010i −1.22791 + 0.597442i
\(157\) 3.29611i 0.0209944i 0.999945 + 0.0104972i \(0.00334142\pi\)
−0.999945 + 0.0104972i \(0.996659\pi\)
\(158\) −125.681 + 28.9527i −0.795450 + 0.183245i
\(159\) 195.754i 1.23116i
\(160\) 152.876 + 47.2126i 0.955473 + 0.295079i
\(161\) 108.164 91.3706i 0.671824 0.567520i
\(162\) 197.308 45.4531i 1.21795 0.280575i
\(163\) 80.8482 0.496001 0.248001 0.968760i \(-0.420226\pi\)
0.248001 + 0.968760i \(0.420226\pi\)
\(164\) −0.882491 1.81376i −0.00538104 0.0110595i
\(165\) −26.1348 186.566i −0.158393 1.13070i
\(166\) 4.16210 + 18.0673i 0.0250729 + 0.108839i
\(167\) −185.849 −1.11287 −0.556434 0.830892i \(-0.687831\pi\)
−0.556434 + 0.830892i \(0.687831\pi\)
\(168\) 39.0397 202.870i 0.232379 1.20756i
\(169\) −39.3931 −0.233095
\(170\) 58.7706 + 153.527i 0.345709 + 0.903100i
\(171\) −143.154 −0.837157
\(172\) 94.3427 45.9027i 0.548504 0.266876i
\(173\) 203.853i 1.17834i −0.808009 0.589170i \(-0.799455\pi\)
0.808009 0.589170i \(-0.200545\pi\)
\(174\) 408.483 94.1007i 2.34760 0.540808i
\(175\) −145.317 97.5094i −0.830381 0.557197i
\(176\) −128.576 100.850i −0.730544 0.573010i
\(177\) 219.087i 1.23778i
\(178\) 9.90660 + 43.0037i 0.0556551 + 0.241594i
\(179\) 252.488i 1.41055i −0.708934 0.705275i \(-0.750824\pi\)
0.708934 0.705275i \(-0.249176\pi\)
\(180\) 51.4488 + 76.5072i 0.285827 + 0.425040i
\(181\) −105.014 −0.580186 −0.290093 0.956998i \(-0.593686\pi\)
−0.290093 + 0.956998i \(0.593686\pi\)
\(182\) 121.171 161.749i 0.665775 0.888729i
\(183\) 256.419i 1.40120i
\(184\) 101.656 + 125.902i 0.552476 + 0.684249i
\(185\) 45.8189 + 327.083i 0.247670 + 1.76802i
\(186\) 185.141 42.6503i 0.995384 0.229303i
\(187\) 167.894i 0.897827i
\(188\) −72.7590 + 35.4011i −0.387016 + 0.188304i
\(189\) −86.6063 + 73.1602i −0.458234 + 0.387091i
\(190\) 111.019 + 290.015i 0.584309 + 1.52640i
\(191\) −91.0901 −0.476912 −0.238456 0.971153i \(-0.576641\pi\)
−0.238456 + 0.971153i \(0.576641\pi\)
\(192\) 230.805 + 49.7494i 1.20211 + 0.259112i
\(193\) 126.767i 0.656822i 0.944535 + 0.328411i \(0.106513\pi\)
−0.944535 + 0.328411i \(0.893487\pi\)
\(194\) −144.933 + 33.3876i −0.747076 + 0.172101i
\(195\) 36.9407 + 263.705i 0.189439 + 1.35233i
\(196\) 55.0892 + 188.099i 0.281067 + 0.959688i
\(197\) −315.300 −1.60051 −0.800253 0.599663i \(-0.795301\pi\)
−0.800253 + 0.599663i \(0.795301\pi\)
\(198\) −21.1380 91.7582i −0.106757 0.463425i
\(199\) 304.652i 1.53091i −0.643488 0.765456i \(-0.722513\pi\)
0.643488 0.765456i \(-0.277487\pi\)
\(200\) 115.096 163.563i 0.575481 0.817815i
\(201\) 228.465i 1.13664i
\(202\) 204.562 47.1241i 1.01268 0.233288i
\(203\) −303.801 + 256.634i −1.49656 + 1.26421i
\(204\) 106.135 + 218.136i 0.520269 + 1.06930i
\(205\) −2.49694 + 0.349780i −0.0121802 + 0.00170624i
\(206\) −115.658 + 26.6437i −0.561446 + 0.129338i
\(207\) 93.2449i 0.450458i
\(208\) 181.738 + 142.548i 0.873740 + 0.685327i
\(209\) 317.154i 1.51748i
\(210\) −226.160 124.660i −1.07695 0.593620i
\(211\) 119.367i 0.565722i −0.959161 0.282861i \(-0.908716\pi\)
0.959161 0.282861i \(-0.0912836\pi\)
\(212\) 190.856 92.8615i 0.900264 0.438026i
\(213\) 94.2593i 0.442532i
\(214\) −329.311 + 75.8622i −1.53884 + 0.354496i
\(215\) −18.1938 129.878i −0.0846223 0.604085i
\(216\) −81.3952 100.809i −0.376830 0.466709i
\(217\) −137.695 + 116.317i −0.634541 + 0.536025i
\(218\) 18.2095 + 79.0458i 0.0835298 + 0.362596i
\(219\) 128.092i 0.584896i
\(220\) −169.500 + 113.984i −0.770454 + 0.518108i
\(221\) 237.313i 1.07381i
\(222\) 109.410 + 474.937i 0.492836 + 2.13936i
\(223\) 225.950 1.01323 0.506615 0.862172i \(-0.330896\pi\)
0.506615 + 0.862172i \(0.330896\pi\)
\(224\) −216.314 + 58.1745i −0.965687 + 0.259708i
\(225\) 110.811 31.6668i 0.492491 0.140741i
\(226\) 65.1729 + 282.910i 0.288376 + 1.25181i
\(227\) 233.683i 1.02944i −0.857358 0.514721i \(-0.827896\pi\)
0.857358 0.514721i \(-0.172104\pi\)
\(228\) 200.491 + 412.063i 0.879345 + 1.80729i
\(229\) −410.025 −1.79050 −0.895251 0.445562i \(-0.853004\pi\)
−0.895251 + 0.445562i \(0.853004\pi\)
\(230\) 188.905 72.3133i 0.821325 0.314406i
\(231\) 170.197 + 201.477i 0.736783 + 0.872196i
\(232\) −285.522 353.623i −1.23070 1.52424i
\(233\) 195.365i 0.838476i −0.907876 0.419238i \(-0.862297\pi\)
0.907876 0.419238i \(-0.137703\pi\)
\(234\) 29.8779 + 129.697i 0.127683 + 0.554262i
\(235\) 14.0314 + 100.165i 0.0597081 + 0.426233i
\(236\) 213.605 103.930i 0.905106 0.440382i
\(237\) 237.901i 1.00380i
\(238\) −184.195 137.986i −0.773929 0.579775i
\(239\) −1.13036 −0.00472952 −0.00236476 0.999997i \(-0.500753\pi\)
−0.00236476 + 0.999997i \(0.500753\pi\)
\(240\) 148.168 255.244i 0.617366 1.06352i
\(241\) 184.725i 0.766495i 0.923646 + 0.383247i \(0.125194\pi\)
−0.923646 + 0.383247i \(0.874806\pi\)
\(242\) −32.5354 + 7.49505i −0.134444 + 0.0309713i
\(243\) 227.719i 0.937116i
\(244\) 250.003 121.640i 1.02460 0.498524i
\(245\) 244.899 + 7.04245i 0.999587 + 0.0287447i
\(246\) −3.62566 + 0.835229i −0.0147384 + 0.00339524i
\(247\) 448.288i 1.81493i
\(248\) −129.410 160.276i −0.521816 0.646276i
\(249\) 34.1994 0.137347
\(250\) −150.090 199.933i −0.600358 0.799731i
\(251\) 161.026 0.641537 0.320769 0.947158i \(-0.396059\pi\)
0.320769 + 0.947158i \(0.396059\pi\)
\(252\) −118.040 52.2227i −0.468413 0.207233i
\(253\) −206.582 −0.816529
\(254\) 58.9377 + 255.843i 0.232038 + 1.00726i
\(255\) 300.300 42.0671i 1.17765 0.164969i
\(256\) −60.9844 248.630i −0.238220 0.971211i
\(257\) −280.740 −1.09237 −0.546186 0.837664i \(-0.683921\pi\)
−0.546186 + 0.837664i \(0.683921\pi\)
\(258\) −43.4444 188.588i −0.168389 0.730963i
\(259\) −298.385 353.225i −1.15207 1.36380i
\(260\) 239.583 161.113i 0.921473 0.619663i
\(261\) 261.899i 1.00344i
\(262\) 91.8703 21.1638i 0.350650 0.0807779i
\(263\) 114.489i 0.435318i 0.976025 + 0.217659i \(0.0698421\pi\)
−0.976025 + 0.217659i \(0.930158\pi\)
\(264\) −234.518 + 189.355i −0.888327 + 0.717252i
\(265\) −36.8061 262.745i −0.138891 0.991489i
\(266\) −347.948 260.659i −1.30807 0.979920i
\(267\) 81.4012 0.304874
\(268\) −222.749 + 108.379i −0.831152 + 0.404399i
\(269\) −199.064 −0.740014 −0.370007 0.929029i \(-0.620645\pi\)
−0.370007 + 0.929029i \(0.620645\pi\)
\(270\) −151.255 + 57.9010i −0.560205 + 0.214448i
\(271\) 138.300i 0.510333i 0.966897 + 0.255167i \(0.0821303\pi\)
−0.966897 + 0.255167i \(0.917870\pi\)
\(272\) 162.330 206.958i 0.596801 0.760876i
\(273\) −240.568 284.782i −0.881202 1.04316i
\(274\) −21.6473 93.9689i −0.0790046 0.342952i
\(275\) 70.1572 + 245.498i 0.255117 + 0.892721i
\(276\) 268.402 130.592i 0.972471 0.473159i
\(277\) 347.378 1.25407 0.627035 0.778991i \(-0.284268\pi\)
0.627035 + 0.778991i \(0.284268\pi\)
\(278\) −173.978 + 40.0786i −0.625819 + 0.144167i
\(279\) 118.703i 0.425460i
\(280\) −14.2557 + 279.637i −0.0509131 + 0.998703i
\(281\) −261.441 −0.930396 −0.465198 0.885207i \(-0.654017\pi\)
−0.465198 + 0.885207i \(0.654017\pi\)
\(282\) 33.5052 + 145.443i 0.118813 + 0.515756i
\(283\) 88.8373i 0.313913i 0.987606 + 0.156956i \(0.0501682\pi\)
−0.987606 + 0.156956i \(0.949832\pi\)
\(284\) −91.9008 + 44.7146i −0.323594 + 0.157446i
\(285\) 567.273 79.4655i 1.99043 0.278826i
\(286\) −287.342 + 66.1938i −1.00469 + 0.231447i
\(287\) 2.69651 2.27786i 0.00939551 0.00793681i
\(288\) 62.6612 133.546i 0.217574 0.463700i
\(289\) −18.7547 −0.0648952
\(290\) −530.580 + 203.108i −1.82959 + 0.700371i
\(291\) 274.342i 0.942755i
\(292\) −124.887 + 60.7643i −0.427696 + 0.208097i
\(293\) 159.380i 0.543960i −0.962303 0.271980i \(-0.912322\pi\)
0.962303 0.271980i \(-0.0876784\pi\)
\(294\) 360.919 21.1342i 1.22762 0.0718850i
\(295\) −41.1932 294.062i −0.139638 0.996822i
\(296\) 411.152 331.972i 1.38903 1.12153i
\(297\) 165.409 0.556934
\(298\) −22.2818 96.7235i −0.0747713 0.324576i
\(299\) 291.997 0.976579
\(300\) −246.345 274.614i −0.821150 0.915380i
\(301\) 118.483 + 140.259i 0.393631 + 0.465977i
\(302\) 128.484 29.5983i 0.425443 0.0980076i
\(303\) 387.212i 1.27793i
\(304\) 306.644 390.948i 1.00870 1.28601i
\(305\) −48.2126 344.171i −0.158074 1.12843i
\(306\) 147.696 34.0242i 0.482667 0.111190i
\(307\) 190.921i 0.621892i 0.950428 + 0.310946i \(0.100646\pi\)
−0.950428 + 0.310946i \(0.899354\pi\)
\(308\) 115.698 261.515i 0.375644 0.849074i
\(309\) 218.928i 0.708503i
\(310\) −240.481 + 92.0568i −0.775745 + 0.296957i
\(311\) 97.1437i 0.312359i 0.987729 + 0.156180i \(0.0499179\pi\)
−0.987729 + 0.156180i \(0.950082\pi\)
\(312\) 331.484 267.647i 1.06245 0.857843i
\(313\) 131.747 0.420917 0.210459 0.977603i \(-0.432504\pi\)
0.210459 + 0.977603i \(0.432504\pi\)
\(314\) −1.47987 6.42398i −0.00471295 0.0204585i
\(315\) −107.618 + 120.211i −0.341645 + 0.381621i
\(316\) 231.948 112.855i 0.734012 0.357136i
\(317\) 64.5641 0.203672 0.101836 0.994801i \(-0.467528\pi\)
0.101836 + 0.994801i \(0.467528\pi\)
\(318\) −87.8883 381.516i −0.276378 1.19973i
\(319\) 580.230 1.81890
\(320\) −319.145 23.3781i −0.997328 0.0730564i
\(321\) 623.349i 1.94190i
\(322\) −169.783 + 226.640i −0.527277 + 0.703850i
\(323\) 510.498 1.58049
\(324\) −364.137 + 177.172i −1.12388 + 0.546828i
\(325\) −99.1650 347.004i −0.305123 1.06771i
\(326\) −157.570 + 36.2987i −0.483342 + 0.111346i
\(327\) 149.625 0.457569
\(328\) 2.53426 + 3.13872i 0.00772642 + 0.00956927i
\(329\) −91.3765 108.171i −0.277740 0.328786i
\(330\) 134.699 + 351.874i 0.408177 + 1.06629i
\(331\) 52.7603i 0.159397i −0.996819 0.0796983i \(-0.974604\pi\)
0.996819 0.0796983i \(-0.0253957\pi\)
\(332\) −16.2235 33.3437i −0.0488659 0.100433i
\(333\) 304.506 0.914432
\(334\) 362.211 83.4411i 1.08446 0.249824i
\(335\) 42.9566 + 306.650i 0.128229 + 0.915374i
\(336\) 14.9967 + 412.913i 0.0446331 + 1.22891i
\(337\) 251.074i 0.745026i −0.928027 0.372513i \(-0.878496\pi\)
0.928027 0.372513i \(-0.121504\pi\)
\(338\) 76.7753 17.6864i 0.227146 0.0523267i
\(339\) 535.517 1.57970
\(340\) −183.471 272.831i −0.539620 0.802443i
\(341\) 262.984 0.771215
\(342\) 279.000 64.2722i 0.815790 0.187931i
\(343\) −295.333 + 174.435i −0.861028 + 0.508558i
\(344\) −163.261 + 131.820i −0.474595 + 0.383197i
\(345\) −51.7608 369.500i −0.150031 1.07101i
\(346\) 91.5244 + 397.300i 0.264522 + 1.14827i
\(347\) −555.781 −1.60167 −0.800837 0.598882i \(-0.795612\pi\)
−0.800837 + 0.598882i \(0.795612\pi\)
\(348\) −753.866 + 366.796i −2.16628 + 1.05401i
\(349\) −202.673 −0.580726 −0.290363 0.956917i \(-0.593776\pi\)
−0.290363 + 0.956917i \(0.593776\pi\)
\(350\) 326.995 + 124.798i 0.934270 + 0.356566i
\(351\) −233.801 −0.666100
\(352\) 295.867 + 138.824i 0.840532 + 0.394388i
\(353\) −332.885 −0.943018 −0.471509 0.881861i \(-0.656290\pi\)
−0.471509 + 0.881861i \(0.656290\pi\)
\(354\) −98.3641 426.990i −0.277865 1.20619i
\(355\) 17.7229 + 126.517i 0.0499236 + 0.356385i
\(356\) −38.6150 79.3644i −0.108469 0.222934i
\(357\) −324.302 + 273.953i −0.908410 + 0.767374i
\(358\) 113.361 + 492.088i 0.316650 + 1.37455i
\(359\) −333.845 −0.929931 −0.464965 0.885329i \(-0.653933\pi\)
−0.464965 + 0.885329i \(0.653933\pi\)
\(360\) −134.621 126.010i −0.373947 0.350027i
\(361\) 603.340 1.67130
\(362\) 204.667 47.1483i 0.565378 0.130244i
\(363\) 61.5858i 0.169658i
\(364\) −163.536 + 369.643i −0.449275 + 1.01550i
\(365\) 24.0842 + 171.928i 0.0659842 + 0.471035i
\(366\) −115.125 499.749i −0.314550 1.36544i
\(367\) 330.735 0.901184 0.450592 0.892730i \(-0.351213\pi\)
0.450592 + 0.892730i \(0.351213\pi\)
\(368\) −254.648 199.736i −0.691980 0.542761i
\(369\) 2.32459i 0.00629970i
\(370\) −236.150 616.898i −0.638244 1.66729i
\(371\) 239.692 + 283.745i 0.646070 + 0.764811i
\(372\) −341.683 + 166.247i −0.918503 + 0.446901i
\(373\) −114.255 −0.306315 −0.153157 0.988202i \(-0.548944\pi\)
−0.153157 + 0.988202i \(0.548944\pi\)
\(374\) 75.3797 + 327.217i 0.201550 + 0.874912i
\(375\) −421.528 + 186.997i −1.12408 + 0.498659i
\(376\) 125.910 101.662i 0.334866 0.270378i
\(377\) −820.138 −2.17543
\(378\) 135.945 181.470i 0.359642 0.480079i
\(379\) 355.076i 0.936877i −0.883496 0.468439i \(-0.844817\pi\)
0.883496 0.468439i \(-0.155183\pi\)
\(380\) −346.579 515.382i −0.912051 1.35627i
\(381\) 484.283 1.27108
\(382\) 177.531 40.8970i 0.464740 0.107060i
\(383\) 436.582 1.13990 0.569951 0.821679i \(-0.306962\pi\)
0.569951 + 0.821679i \(0.306962\pi\)
\(384\) −472.165 + 6.66595i −1.22960 + 0.0173593i
\(385\) −266.324 238.426i −0.691750 0.619288i
\(386\) −56.9148 247.062i −0.147448 0.640058i
\(387\) −120.913 −0.312438
\(388\) 267.477 130.142i 0.689374 0.335417i
\(389\) 639.735i 1.64456i 0.569080 + 0.822282i \(0.307299\pi\)
−0.569080 + 0.822282i \(0.692701\pi\)
\(390\) −190.392 497.364i −0.488185 1.27529i
\(391\) 332.519i 0.850432i
\(392\) −191.818 341.863i −0.489331 0.872098i
\(393\) 173.900i 0.442494i
\(394\) 614.505 141.561i 1.55966 0.359292i
\(395\) −44.7307 319.315i −0.113242 0.808391i
\(396\) 82.3939 + 169.342i 0.208065 + 0.427632i
\(397\) 516.755i 1.30165i −0.759228 0.650825i \(-0.774423\pi\)
0.759228 0.650825i \(-0.225577\pi\)
\(398\) 136.780 + 593.752i 0.343669 + 1.49184i
\(399\) −612.613 + 517.501i −1.53537 + 1.29700i
\(400\) −150.882 + 370.452i −0.377205 + 0.926130i
\(401\) −261.169 −0.651295 −0.325647 0.945491i \(-0.605582\pi\)
−0.325647 + 0.945491i \(0.605582\pi\)
\(402\) 102.575 + 445.268i 0.255161 + 1.10763i
\(403\) −371.721 −0.922383
\(404\) −377.524 + 183.685i −0.934465 + 0.454667i
\(405\) 70.2231 + 501.295i 0.173390 + 1.23777i
\(406\) 476.873 636.567i 1.17456 1.56790i
\(407\) 674.626i 1.65756i
\(408\) −304.789 377.486i −0.747033 0.925210i
\(409\) 94.8415i 0.231886i 0.993256 + 0.115943i \(0.0369890\pi\)
−0.993256 + 0.115943i \(0.963011\pi\)
\(410\) 4.70938 1.80276i 0.0114863 0.00439699i
\(411\) −177.873 −0.432781
\(412\) 213.450 103.855i 0.518082 0.252074i
\(413\) 268.262 + 317.566i 0.649544 + 0.768924i
\(414\) −41.8645 181.730i −0.101122 0.438961i
\(415\) −45.9031 + 6.43026i −0.110610 + 0.0154946i
\(416\) −418.199 196.224i −1.00529 0.471693i
\(417\) 329.320i 0.789737i
\(418\) 142.394 + 618.119i 0.340655 + 1.47875i
\(419\) 46.0965 0.110016 0.0550078 0.998486i \(-0.482482\pi\)
0.0550078 + 0.998486i \(0.482482\pi\)
\(420\) 496.744 + 141.417i 1.18272 + 0.336708i
\(421\) 710.750i 1.68824i −0.536153 0.844121i \(-0.680123\pi\)
0.536153 0.844121i \(-0.319877\pi\)
\(422\) 53.5928 + 232.642i 0.126997 + 0.551283i
\(423\) 93.2508 0.220451
\(424\) −330.277 + 266.672i −0.778955 + 0.628944i
\(425\) −395.159 + 112.926i −0.929787 + 0.265709i
\(426\) 42.3199 + 183.707i 0.0993425 + 0.431237i
\(427\) 313.974 + 371.679i 0.735301 + 0.870442i
\(428\) 607.752 295.704i 1.41998 0.690897i
\(429\) 543.906i 1.26785i
\(430\) 93.7707 + 244.958i 0.218071 + 0.569671i
\(431\) 411.504 0.954766 0.477383 0.878695i \(-0.341585\pi\)
0.477383 + 0.878695i \(0.341585\pi\)
\(432\) 203.896 + 159.928i 0.471982 + 0.370204i
\(433\) 329.582 0.761159 0.380580 0.924748i \(-0.375725\pi\)
0.380580 + 0.924748i \(0.375725\pi\)
\(434\) 216.138 288.519i 0.498015 0.664790i
\(435\) 145.381 + 1037.82i 0.334210 + 2.38579i
\(436\) −70.9789 145.881i −0.162796 0.334590i
\(437\) 628.134i 1.43738i
\(438\) 57.5100 + 249.646i 0.131301 + 0.569968i
\(439\) 370.448i 0.843844i 0.906632 + 0.421922i \(0.138644\pi\)
−0.906632 + 0.421922i \(0.861356\pi\)
\(440\) 279.172 298.250i 0.634482 0.677841i
\(441\) 37.7537 222.706i 0.0856093 0.505002i
\(442\) −106.547 462.511i −0.241057 1.04641i
\(443\) −203.437 −0.459226 −0.229613 0.973282i \(-0.573746\pi\)
−0.229613 + 0.973282i \(0.573746\pi\)
\(444\) −426.468 876.509i −0.960514 1.97412i
\(445\) −109.258 + 15.3053i −0.245524 + 0.0343938i
\(446\) −440.367 + 101.446i −0.987370 + 0.227457i
\(447\) −183.087 −0.409590
\(448\) 395.467 210.499i 0.882739 0.469863i
\(449\) 274.557 0.611485 0.305742 0.952114i \(-0.401095\pi\)
0.305742 + 0.952114i \(0.401095\pi\)
\(450\) −201.747 + 111.468i −0.448327 + 0.247707i
\(451\) −5.15007 −0.0114192
\(452\) −254.038 522.118i −0.562031 1.15513i
\(453\) 243.205i 0.536877i
\(454\) 104.918 + 455.438i 0.231096 + 1.00317i
\(455\) 376.440 + 337.008i 0.827341 + 0.740676i
\(456\) −575.752 713.077i −1.26262 1.56377i
\(457\) 186.534i 0.408170i −0.978953 0.204085i \(-0.934578\pi\)
0.978953 0.204085i \(-0.0654219\pi\)
\(458\) 799.120 184.090i 1.74480 0.401944i
\(459\) 266.247i 0.580058i
\(460\) −335.700 + 225.748i −0.729783 + 0.490758i
\(461\) 501.181 1.08716 0.543580 0.839357i \(-0.317068\pi\)
0.543580 + 0.839357i \(0.317068\pi\)
\(462\) −422.164 316.256i −0.913775 0.684537i
\(463\) 160.592i 0.346850i 0.984847 + 0.173425i \(0.0554835\pi\)
−0.984847 + 0.173425i \(0.944517\pi\)
\(464\) 715.236 + 561.003i 1.54146 + 1.20906i
\(465\) 65.8929 + 470.383i 0.141705 + 1.01158i
\(466\) 87.7136 + 380.757i 0.188227 + 0.817076i
\(467\) 340.763i 0.729686i −0.931069 0.364843i \(-0.881123\pi\)
0.931069 0.364843i \(-0.118877\pi\)
\(468\) −116.461 239.360i −0.248849 0.511453i
\(469\) −279.745 331.160i −0.596472 0.706097i
\(470\) −72.3179 188.917i −0.153868 0.401951i
\(471\) −12.1599 −0.0258171
\(472\) −369.644 + 298.458i −0.783145 + 0.632326i
\(473\) 267.881i 0.566344i
\(474\) −106.811 463.657i −0.225340 0.978180i
\(475\) −746.463 + 213.320i −1.57150 + 0.449095i
\(476\) 420.940 + 186.230i 0.884328 + 0.391241i
\(477\) −244.609 −0.512806
\(478\) 2.20301 0.507499i 0.00460881 0.00106171i
\(479\) 784.653i 1.63811i −0.573717 0.819053i \(-0.694499\pi\)
0.573717 0.819053i \(-0.305501\pi\)
\(480\) −174.174 + 563.982i −0.362863 + 1.17496i
\(481\) 953.563i 1.98246i
\(482\) −82.9367 360.021i −0.172068 0.746931i
\(483\) 337.080 + 399.032i 0.697889 + 0.826154i
\(484\) 60.0448 29.2150i 0.124060 0.0603616i
\(485\) −51.5824 368.226i −0.106355 0.759230i
\(486\) 102.240 + 443.814i 0.210370 + 0.913198i
\(487\) 195.648i 0.401741i −0.979618 0.200871i \(-0.935623\pi\)
0.979618 0.200871i \(-0.0643771\pi\)
\(488\) −432.632 + 349.315i −0.886541 + 0.715810i
\(489\) 298.262i 0.609942i
\(490\) −480.458 + 96.2276i −0.980527 + 0.196383i
\(491\) 153.533i 0.312694i 0.987702 + 0.156347i \(0.0499718\pi\)
−0.987702 + 0.156347i \(0.950028\pi\)
\(492\) 6.69124 3.25565i 0.0136001 0.00661717i
\(493\) 933.952i 1.89443i
\(494\) −201.269 873.692i −0.407427 1.76861i
\(495\) 233.127 32.6573i 0.470964 0.0659743i
\(496\) 324.175 + 254.270i 0.653578 + 0.512640i
\(497\) −115.416 136.629i −0.232226 0.274907i
\(498\) −66.6531 + 15.3546i −0.133842 + 0.0308326i
\(499\) 636.233i 1.27502i −0.770443 0.637509i \(-0.779965\pi\)
0.770443 0.637509i \(-0.220035\pi\)
\(500\) 382.282 + 322.274i 0.764565 + 0.644547i
\(501\) 685.625i 1.36851i
\(502\) −313.832 + 72.2963i −0.625164 + 0.144017i
\(503\) 48.3325 0.0960885 0.0480442 0.998845i \(-0.484701\pi\)
0.0480442 + 0.998845i \(0.484701\pi\)
\(504\) 253.501 + 48.7829i 0.502978 + 0.0967916i
\(505\) 72.8046 + 519.724i 0.144168 + 1.02916i
\(506\) 402.619 92.7498i 0.795689 0.183300i
\(507\) 145.327i 0.286641i
\(508\) −229.734 472.166i −0.452232 0.929460i
\(509\) 243.531 0.478449 0.239225 0.970964i \(-0.423107\pi\)
0.239225 + 0.970964i \(0.423107\pi\)
\(510\) −566.385 + 216.814i −1.11056 + 0.425125i
\(511\) −156.843 185.669i −0.306934 0.363345i
\(512\) 230.484 + 457.188i 0.450164 + 0.892946i
\(513\) 502.945i 0.980399i
\(514\) 547.149 126.045i 1.06449 0.245223i
\(515\) −41.1633 293.849i −0.0799287 0.570580i
\(516\) 169.342 + 348.045i 0.328183 + 0.674505i
\(517\) 206.595i 0.399604i
\(518\) 740.128 + 554.453i 1.42882 + 1.07037i
\(519\) 752.044 1.44903
\(520\) −394.601 + 421.567i −0.758848 + 0.810706i
\(521\) 630.569i 1.21030i 0.796110 + 0.605152i \(0.206888\pi\)
−0.796110 + 0.605152i \(0.793112\pi\)
\(522\) 117.585 + 510.428i 0.225260 + 0.977832i
\(523\) 829.843i 1.58670i −0.608767 0.793349i \(-0.708336\pi\)
0.608767 0.793349i \(-0.291664\pi\)
\(524\) −169.549 + 82.4946i −0.323567 + 0.157432i
\(525\) 359.727 536.095i 0.685195 1.02113i
\(526\) −51.4024 223.133i −0.0977231 0.424208i
\(527\) 423.306i 0.803236i
\(528\) 372.050 474.336i 0.704641 0.898363i
\(529\) 119.858 0.226574
\(530\) 189.699 + 495.552i 0.357922 + 0.935004i
\(531\) −273.765 −0.515564
\(532\) 795.163 + 351.793i 1.49467 + 0.661265i
\(533\) 7.27947 0.0136575
\(534\) −158.647 + 36.5470i −0.297092 + 0.0684400i
\(535\) −117.204 836.671i −0.219072 1.56387i
\(536\) 385.468 311.234i 0.719156 0.580660i
\(537\) 931.469 1.73458
\(538\) 387.966 89.3743i 0.721126 0.166123i
\(539\) 493.400 + 83.6425i 0.915398 + 0.155181i
\(540\) 268.794 180.756i 0.497766 0.334733i
\(541\) 120.015i 0.221840i 0.993829 + 0.110920i \(0.0353797\pi\)
−0.993829 + 0.110920i \(0.964620\pi\)
\(542\) −62.0931 269.541i −0.114563 0.497308i
\(543\) 387.412i 0.713465i
\(544\) −223.455 + 476.234i −0.410763 + 0.875431i
\(545\) −200.829 + 28.1329i −0.368494 + 0.0516199i
\(546\) 596.716 + 447.019i 1.09289 + 0.818715i
\(547\) −634.970 −1.16082 −0.580411 0.814324i \(-0.697108\pi\)
−0.580411 + 0.814324i \(0.697108\pi\)
\(548\) 84.3791 + 173.422i 0.153976 + 0.316464i
\(549\) −320.414 −0.583632
\(550\) −246.955 446.966i −0.449009 0.812666i
\(551\) 1764.25i 3.20191i
\(552\) −464.471 + 375.023i −0.841433 + 0.679389i
\(553\) 291.298 + 344.836i 0.526760 + 0.623573i
\(554\) −677.023 + 155.963i −1.22206 + 0.281522i
\(555\) −1206.66 + 169.033i −2.17416 + 0.304564i
\(556\) 321.080 156.223i 0.577482 0.280976i
\(557\) −113.560 −0.203877 −0.101939 0.994791i \(-0.532505\pi\)
−0.101939 + 0.994791i \(0.532505\pi\)
\(558\) 53.2946 + 231.347i 0.0955100 + 0.414601i
\(559\) 378.641i 0.677355i
\(560\) −97.7658 551.400i −0.174582 0.984643i
\(561\) 619.386 1.10407
\(562\) 509.537 117.380i 0.906650 0.208861i
\(563\) 964.206i 1.71262i 0.516461 + 0.856311i \(0.327249\pi\)
−0.516461 + 0.856311i \(0.672751\pi\)
\(564\) −130.600 268.419i −0.231561 0.475920i
\(565\) −718.781 + 100.689i −1.27218 + 0.178211i
\(566\) −39.8856 173.140i −0.0704692 0.305901i
\(567\) −457.312 541.362i −0.806547 0.954782i
\(568\) 159.035 128.408i 0.279991 0.226070i
\(569\) −761.751 −1.33875 −0.669377 0.742923i \(-0.733439\pi\)
−0.669377 + 0.742923i \(0.733439\pi\)
\(570\) −1069.91 + 409.565i −1.87704 + 0.718535i
\(571\) 35.8939i 0.0628614i −0.999506 0.0314307i \(-0.989994\pi\)
0.999506 0.0314307i \(-0.0100064\pi\)
\(572\) 530.296 258.017i 0.927092 0.451079i
\(573\) 336.046i 0.586467i
\(574\) −4.23268 + 5.65011i −0.00737400 + 0.00984340i
\(575\) 138.949 + 486.217i 0.241650 + 0.845595i
\(576\) −62.1654 + 288.407i −0.107926 + 0.500707i
\(577\) −714.079 −1.23757 −0.618786 0.785559i \(-0.712375\pi\)
−0.618786 + 0.785559i \(0.712375\pi\)
\(578\) 36.5521 8.42036i 0.0632389 0.0145681i
\(579\) −467.661 −0.807705
\(580\) 942.887 634.064i 1.62567 1.09321i
\(581\) 49.5720 41.8756i 0.0853218 0.0720751i
\(582\) −123.172 534.679i −0.211636 0.918693i
\(583\) 541.925i 0.929545i
\(584\) 216.118 174.498i 0.370065 0.298798i
\(585\) −329.518 + 46.1600i −0.563279 + 0.0789060i
\(586\) 71.5574 + 310.625i 0.122112 + 0.530076i
\(587\) 785.786i 1.33865i 0.742971 + 0.669323i \(0.233416\pi\)
−0.742971 + 0.669323i \(0.766584\pi\)
\(588\) −693.926 + 203.233i −1.18015 + 0.345634i
\(589\) 799.632i 1.35761i
\(590\) 212.310 + 554.620i 0.359847 + 0.940033i
\(591\) 1163.19i 1.96817i
\(592\) −652.270 + 831.595i −1.10181 + 1.40472i
\(593\) 618.608 1.04318 0.521592 0.853195i \(-0.325338\pi\)
0.521592 + 0.853195i \(0.325338\pi\)
\(594\) −322.375 + 74.2644i −0.542720 + 0.125024i
\(595\) 383.775 428.680i 0.645001 0.720471i
\(596\) 86.8525 + 178.506i 0.145726 + 0.299506i
\(597\) 1123.91 1.88259
\(598\) −569.089 + 131.099i −0.951654 + 0.219229i
\(599\) −218.429 −0.364656 −0.182328 0.983238i \(-0.558363\pi\)
−0.182328 + 0.983238i \(0.558363\pi\)
\(600\) 603.409 + 424.608i 1.00568 + 0.707680i
\(601\) 810.310i 1.34827i 0.738609 + 0.674135i \(0.235483\pi\)
−0.738609 + 0.674135i \(0.764517\pi\)
\(602\) −293.890 220.163i −0.488190 0.365719i
\(603\) 285.484 0.473439
\(604\) −237.120 + 115.371i −0.392583 + 0.191012i
\(605\) −11.5795 82.6616i −0.0191397 0.136631i
\(606\) 173.848 + 754.659i 0.286878 + 1.24531i
\(607\) −223.586 −0.368346 −0.184173 0.982894i \(-0.558961\pi\)
−0.184173 + 0.982894i \(0.558961\pi\)
\(608\) −422.110 + 899.615i −0.694260 + 1.47963i
\(609\) −946.764 1120.77i −1.55462 1.84034i
\(610\) 248.488 + 649.127i 0.407357 + 1.06414i
\(611\) 292.016i 0.477931i
\(612\) −272.577 + 132.623i −0.445387 + 0.216704i
\(613\) −416.624 −0.679648 −0.339824 0.940489i \(-0.610368\pi\)
−0.339824 + 0.940489i \(0.610368\pi\)
\(614\) −85.7183 372.096i −0.139606 0.606020i
\(615\) −1.29039 9.21160i −0.00209820 0.0149782i
\(616\) −108.077 + 561.626i −0.175450 + 0.911730i
\(617\) 633.821i 1.02726i −0.858011 0.513631i \(-0.828300\pi\)
0.858011 0.513631i \(-0.171700\pi\)
\(618\) −98.2926 426.680i −0.159050 0.690420i
\(619\) 891.451 1.44015 0.720073 0.693898i \(-0.244108\pi\)
0.720073 + 0.693898i \(0.244108\pi\)
\(620\) 427.355 287.384i 0.689283 0.463523i
\(621\) 327.599 0.527534
\(622\) −43.6149 189.329i −0.0701205 0.304387i
\(623\) 117.991 99.6721i 0.189391 0.159987i
\(624\) −525.882 + 670.459i −0.842759 + 1.07445i
\(625\) 530.624 330.248i 0.848998 0.528397i
\(626\) −256.769 + 59.1509i −0.410174 + 0.0944902i
\(627\) 1170.03 1.86608
\(628\) 5.76839 + 11.8556i 0.00918533 + 0.0188784i
\(629\) −1085.89 −1.72638
\(630\) 155.772 282.603i 0.247257 0.448575i
\(631\) −139.865 −0.221656 −0.110828 0.993840i \(-0.535350\pi\)
−0.110828 + 0.993840i \(0.535350\pi\)
\(632\) −401.387 + 324.088i −0.635106 + 0.512797i
\(633\) 440.365 0.695679
\(634\) −125.833 + 28.9876i −0.198474 + 0.0457217i
\(635\) −650.014 + 91.0561i −1.02364 + 0.143395i
\(636\) 342.581 + 704.097i 0.538649 + 1.10707i
\(637\) −697.405 118.226i −1.09483 0.185598i
\(638\) −1130.84 + 260.508i −1.77248 + 0.408320i
\(639\) 117.784 0.184325
\(640\) 632.495 97.7248i 0.988273 0.152695i
\(641\) −500.317 −0.780525 −0.390263 0.920704i \(-0.627616\pi\)
−0.390263 + 0.920704i \(0.627616\pi\)
\(642\) −279.867 1214.88i −0.435930 1.89234i
\(643\) 1189.12i 1.84933i −0.380788 0.924663i \(-0.624347\pi\)
0.380788 0.924663i \(-0.375653\pi\)
\(644\) 229.144 517.939i 0.355814 0.804253i
\(645\) 479.141 67.1197i 0.742854 0.104062i
\(646\) −994.938 + 229.200i −1.54015 + 0.354799i
\(647\) 1020.39 1.57711 0.788555 0.614964i \(-0.210829\pi\)
0.788555 + 0.614964i \(0.210829\pi\)
\(648\) 630.141 508.788i 0.972440 0.785167i
\(649\) 606.519i 0.934544i
\(650\) 349.064 + 631.773i 0.537021 + 0.971959i
\(651\) −429.113 507.979i −0.659159 0.780306i
\(652\) 290.799 141.489i 0.446010 0.217008i
\(653\) 155.938 0.238802 0.119401 0.992846i \(-0.461903\pi\)
0.119401 + 0.992846i \(0.461903\pi\)
\(654\) −291.612 + 67.1776i −0.445890 + 0.102718i
\(655\) 32.6972 + 233.412i 0.0499193 + 0.356354i
\(656\) −6.34837 4.97941i −0.00967739 0.00759056i
\(657\) 160.060 0.243623
\(658\) 226.654 + 169.794i 0.344459 + 0.258045i
\(659\) 220.018i 0.333866i −0.985968 0.166933i \(-0.946614\pi\)
0.985968 0.166933i \(-0.0533864\pi\)
\(660\) −420.504 625.311i −0.637127 0.947441i
\(661\) −948.923 −1.43559 −0.717794 0.696256i \(-0.754848\pi\)
−0.717794 + 0.696256i \(0.754848\pi\)
\(662\) 23.6880 + 102.827i 0.0357824 + 0.155328i
\(663\) −875.483 −1.32049
\(664\) 46.5893 + 57.7014i 0.0701645 + 0.0868998i
\(665\) 724.959 809.785i 1.09016 1.21772i
\(666\) −593.468 + 136.715i −0.891093 + 0.205278i
\(667\) 1149.17 1.72289
\(668\) −668.470 + 325.246i −1.00070 + 0.486895i
\(669\) 833.566i 1.24599i
\(670\) −221.398 578.361i −0.330445 0.863225i
\(671\) 709.870i 1.05793i
\(672\) −214.615 798.016i −0.319367 1.18752i
\(673\) 745.489i 1.10771i 0.832613 + 0.553855i \(0.186844\pi\)
−0.832613 + 0.553855i \(0.813156\pi\)
\(674\) 112.725 + 489.332i 0.167248 + 0.726011i
\(675\) −111.256 389.312i −0.164823 0.576759i
\(676\) −141.691 + 68.9401i −0.209602 + 0.101982i
\(677\) 8.12211i 0.0119972i 0.999982 + 0.00599860i \(0.00190943\pi\)
−0.999982 + 0.00599860i \(0.998091\pi\)
\(678\) −1043.70 + 240.433i −1.53938 + 0.354621i
\(679\) 335.919 + 397.657i 0.494726 + 0.585652i
\(680\) 480.070 + 449.361i 0.705985 + 0.660825i
\(681\) 862.094 1.26592
\(682\) −512.545 + 118.073i −0.751532 + 0.173128i
\(683\) 476.643 0.697867 0.348934 0.937147i \(-0.386544\pi\)
0.348934 + 0.937147i \(0.386544\pi\)
\(684\) −514.902 + 250.527i −0.752781 + 0.366268i
\(685\) 238.744 33.4441i 0.348532 0.0488235i
\(686\) 497.273 472.563i 0.724888 0.688867i
\(687\) 1512.65i 2.20181i
\(688\) 259.004 330.210i 0.376459 0.479957i
\(689\) 765.994i 1.11175i
\(690\) 266.775 + 696.899i 0.386630 + 1.01000i
\(691\) −85.4900 −0.123719 −0.0618596 0.998085i \(-0.519703\pi\)
−0.0618596 + 0.998085i \(0.519703\pi\)
\(692\) −356.754 733.227i −0.515540 1.05958i
\(693\) −251.760 + 212.673i −0.363290 + 0.306888i
\(694\) 1083.19 249.531i 1.56079 0.359554i
\(695\) −61.9196 442.020i −0.0890930 0.636000i
\(696\) 1304.57 1053.33i 1.87438 1.51341i
\(697\) 8.28967i 0.0118934i
\(698\) 395.001 90.9949i 0.565904 0.130365i
\(699\) 720.731 1.03109
\(700\) −693.328 96.4140i −0.990469 0.137734i
\(701\) 23.5524i 0.0335982i 0.999859 + 0.0167991i \(0.00534758\pi\)
−0.999859 + 0.0167991i \(0.994652\pi\)
\(702\) 455.668 104.970i 0.649099 0.149531i
\(703\) −2051.27 −2.91788
\(704\) −638.960 137.726i −0.907614 0.195634i
\(705\) −369.523 + 51.7641i −0.524146 + 0.0734242i
\(706\) 648.778 149.457i 0.918949 0.211695i
\(707\) −474.124 561.263i −0.670614 0.793866i
\(708\) 383.414 + 788.022i 0.541546 + 1.11302i
\(709\) 358.652i 0.505856i −0.967485 0.252928i \(-0.918606\pi\)
0.967485 0.252928i \(-0.0813935\pi\)
\(710\) −91.3436 238.618i −0.128653 0.336082i
\(711\) −297.274 −0.418106
\(712\) 110.891 + 137.341i 0.155746 + 0.192894i
\(713\) 520.849 0.730504
\(714\) 509.053 679.524i 0.712960 0.951715i
\(715\) −102.267 730.040i −0.143030 1.02104i
\(716\) −441.869 908.162i −0.617136 1.26838i
\(717\) 4.17005i 0.00581598i
\(718\) 650.649 149.888i 0.906196 0.208757i
\(719\) 209.881i 0.291906i 0.989292 + 0.145953i \(0.0466249\pi\)
−0.989292 + 0.145953i \(0.953375\pi\)
\(720\) 318.945 + 185.146i 0.442980 + 0.257147i
\(721\) 268.067 + 317.335i 0.371799 + 0.440132i
\(722\) −1175.88 + 270.884i −1.62865 + 0.375185i
\(723\) −681.480 −0.942572
\(724\) −377.718 + 183.780i −0.521710 + 0.253840i
\(725\) −390.267 1365.65i −0.538300 1.88365i
\(726\) −27.6504 120.028i −0.0380859 0.165328i
\(727\) −1.50873 −0.00207528 −0.00103764 0.999999i \(-0.500330\pi\)
−0.00103764 + 0.999999i \(0.500330\pi\)
\(728\) 152.764 793.841i 0.209841 1.09044i
\(729\) −71.0498 −0.0974620
\(730\) −124.130 324.266i −0.170041 0.444200i
\(731\) 431.187 0.589859
\(732\) 448.748 + 922.301i 0.613044 + 1.25997i
\(733\) 530.040i 0.723111i −0.932351 0.361555i \(-0.882246\pi\)
0.932351 0.361555i \(-0.117754\pi\)
\(734\) −644.587 + 148.491i −0.878184 + 0.202304i
\(735\) −25.9807 + 903.469i −0.0353479 + 1.22921i
\(736\) 585.975 + 274.946i 0.796161 + 0.373568i
\(737\) 632.482i 0.858185i
\(738\) −1.04368 4.53052i −0.00141420 0.00613891i
\(739\) 890.676i 1.20524i −0.798026 0.602622i \(-0.794123\pi\)
0.798026 0.602622i \(-0.205877\pi\)
\(740\) 737.217 + 1096.28i 0.996239 + 1.48146i
\(741\) −1653.80 −2.23185
\(742\) −594.542 445.390i −0.801270 0.600257i
\(743\) 912.740i 1.22845i −0.789130 0.614226i \(-0.789468\pi\)
0.789130 0.614226i \(-0.210532\pi\)
\(744\) 591.285 477.414i 0.794737 0.641686i
\(745\) 245.743 34.4245i 0.329856 0.0462073i
\(746\) 222.679 51.2977i 0.298497 0.0687636i
\(747\) 42.7346i 0.0572083i
\(748\) −293.823 603.888i −0.392812 0.807336i
\(749\) 763.263 + 903.543i 1.01904 + 1.20633i
\(750\) 737.583 553.704i 0.983444 0.738272i
\(751\) 910.503 1.21239 0.606194 0.795317i \(-0.292696\pi\)
0.606194 + 0.795317i \(0.292696\pi\)
\(752\) −199.749 + 254.665i −0.265624 + 0.338650i
\(753\) 594.049i 0.788910i
\(754\) 1598.41 368.220i 2.11991 0.488356i
\(755\) 45.7281 + 326.435i 0.0605670 + 0.432364i
\(756\) −183.475 + 414.712i −0.242692 + 0.548560i
\(757\) 813.010 1.07399 0.536995 0.843585i \(-0.319559\pi\)
0.536995 + 0.843585i \(0.319559\pi\)
\(758\) 159.420 + 692.028i 0.210316 + 0.912965i
\(759\) 762.113i 1.00410i
\(760\) 906.860 + 848.851i 1.19324 + 1.11691i
\(761\) 1222.33i 1.60622i −0.595832 0.803109i \(-0.703178\pi\)
0.595832 0.803109i \(-0.296822\pi\)
\(762\) −943.846 + 217.430i −1.23864 + 0.285341i
\(763\) 216.881 183.209i 0.284248 0.240117i
\(764\) −327.637 + 159.413i −0.428844 + 0.208656i
\(765\) 52.5658 + 375.247i 0.0687135 + 0.490519i
\(766\) −850.879 + 196.014i −1.11081 + 0.255893i
\(767\) 857.296i 1.11773i
\(768\) 917.235 224.981i 1.19432 0.292944i
\(769\) 600.119i 0.780388i 0.920733 + 0.390194i \(0.127592\pi\)
−0.920733 + 0.390194i \(0.872408\pi\)
\(770\) 626.099 + 345.109i 0.813116 + 0.448193i
\(771\) 1035.69i 1.34331i
\(772\) 221.849 + 455.960i 0.287369 + 0.590621i
\(773\) 308.438i 0.399015i 0.979896 + 0.199507i \(0.0639341\pi\)
−0.979896 + 0.199507i \(0.936066\pi\)
\(774\) 235.655 54.2869i 0.304463 0.0701381i
\(775\) −176.885 618.968i −0.228239 0.798668i
\(776\) −462.871 + 373.731i −0.596483 + 0.481612i
\(777\) 1303.10 1100.79i 1.67710 1.41672i
\(778\) −287.224 1246.82i −0.369183