Properties

Label 177.4.e.a.4.8
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.115030 + 0.0125102i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.79989 - 1.71689i) q^{4} +(-3.58691 - 2.72670i) q^{5} +(-0.252010 + 0.238717i) q^{6} +(-13.1064 + 32.8946i) q^{7} +(-1.75295 - 0.590637i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(0.115030 + 0.0125102i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.79989 - 1.71689i) q^{4} +(-3.58691 - 2.72670i) q^{5} +(-0.252010 + 0.238717i) q^{6} +(-13.1064 + 32.8946i) q^{7} +(-1.75295 - 0.590637i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-0.378490 - 0.358525i) q^{10} +(54.4941 - 25.2117i) q^{11} +(19.0743 - 14.4999i) q^{12} +(5.23084 - 31.9067i) q^{13} +(-1.91914 + 3.61989i) q^{14} +(13.2009 - 2.90574i) q^{15} +(57.7934 + 26.7381i) q^{16} +(-43.9106 - 110.207i) q^{17} +(-0.0563787 - 1.03984i) q^{18} +(-24.7078 - 36.4412i) q^{19} +(23.2961 + 27.4263i) q^{20} +(-49.7583 - 93.8541i) q^{21} +(6.58384 - 2.21836i) q^{22} +(-3.13883 + 57.8923i) q^{23} +(4.75498 - 2.86098i) q^{24} +(-28.0100 - 100.883i) q^{25} +(1.00086 - 3.60478i) q^{26} +(23.1351 + 13.9200i) q^{27} +(158.705 - 234.072i) q^{28} +(136.883 - 14.8869i) q^{29} +(1.55485 - 0.169100i) q^{30} +(-55.2317 + 81.4606i) q^{31} +(18.9934 + 11.4280i) q^{32} +(-48.1901 + 173.565i) q^{33} +(-3.67230 - 13.2264i) q^{34} +(136.705 - 82.2529i) q^{35} +(-3.89148 + 71.7741i) q^{36} +(366.476 - 123.480i) q^{37} +(-2.38624 - 4.50092i) q^{38} +(62.7951 + 73.9281i) q^{39} +(4.67718 + 6.89833i) q^{40} +(-1.09664 - 20.2263i) q^{41} +(-4.54954 - 11.4185i) q^{42} +(119.384 + 55.2328i) q^{43} +(-468.334 + 103.088i) q^{44} +(-18.9944 + 35.8271i) q^{45} +(-1.08530 + 6.62006i) q^{46} +(-297.381 + 226.063i) q^{47} +(-173.380 + 80.2142i) q^{48} +(-661.260 - 626.379i) q^{49} +(-1.95991 - 11.9549i) q^{50} +(337.269 + 113.639i) q^{51} +(-95.5801 + 239.888i) q^{52} +(190.286 - 180.248i) q^{53} +(2.48708 + 1.89063i) q^{54} +(-264.211 - 58.1571i) q^{55} +(42.4036 - 49.9214i) q^{56} +(131.309 + 14.2807i) q^{57} +15.9318 q^{58} +(453.173 - 3.65433i) q^{59} -107.955 q^{60} +(-156.618 - 17.0332i) q^{61} +(-7.37237 + 8.67942i) q^{62} +(311.235 + 68.5079i) q^{63} +(-403.513 - 306.742i) q^{64} +(-105.763 + 100.184i) q^{65} +(-7.71463 + 19.3623i) q^{66} +(-374.132 - 126.060i) q^{67} +(153.284 + 934.994i) q^{68} +(-126.274 - 119.613i) q^{69} +(16.7542 - 7.75130i) q^{70} +(616.021 - 468.287i) q^{71} +(-2.69335 + 16.4287i) q^{72} +(186.869 - 352.472i) q^{73} +(43.7004 - 9.61918i) q^{74} +(285.067 + 131.886i) q^{75} +(130.152 + 326.658i) q^{76} +(115.106 + 2123.00i) q^{77} +(6.29844 + 9.28950i) q^{78} +(-529.258 - 623.091i) q^{79} +(-134.393 - 253.492i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(0.126890 - 2.34034i) q^{82} +(-98.8592 + 59.4816i) q^{83} +(226.973 + 817.481i) q^{84} +(-142.999 + 515.035i) q^{85} +(13.0417 + 7.84692i) q^{86} +(-231.810 + 341.894i) q^{87} +(-110.416 + 12.0085i) q^{88} +(-1183.81 + 128.747i) q^{89} +(-2.63312 + 3.88356i) q^{90} +(981.000 + 590.248i) q^{91} +(123.877 - 446.164i) q^{92} +(-78.9899 - 284.496i) q^{93} +(-37.0357 + 22.2836i) q^{94} +(-10.7397 + 198.082i) q^{95} +(-63.0181 + 21.2333i) q^{96} +(-633.234 - 1194.41i) q^{97} +(-68.2283 - 80.3246i) q^{98} +(-303.261 - 447.277i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.115030 + 0.0125102i 0.0406691 + 0.00442303i 0.128431 0.991718i \(-0.459006\pi\)
−0.0877618 + 0.996141i \(0.527971\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) −7.79989 1.71689i −0.974986 0.214611i
\(5\) −3.58691 2.72670i −0.320823 0.243884i 0.432350 0.901706i \(-0.357685\pi\)
−0.753173 + 0.657822i \(0.771478\pi\)
\(6\) −0.252010 + 0.238717i −0.0171471 + 0.0162426i
\(7\) −13.1064 + 32.8946i −0.707679 + 1.77614i −0.0812072 + 0.996697i \(0.525878\pi\)
−0.626472 + 0.779444i \(0.715502\pi\)
\(8\) −1.75295 0.590637i −0.0774701 0.0261027i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −0.378490 0.358525i −0.0119689 0.0113375i
\(11\) 54.4941 25.2117i 1.49369 0.691055i 0.508271 0.861197i \(-0.330285\pi\)
0.985420 + 0.170142i \(0.0544226\pi\)
\(12\) 19.0743 14.4999i 0.458855 0.348813i
\(13\) 5.23084 31.9067i 0.111598 0.680717i −0.870475 0.492213i \(-0.836188\pi\)
0.982072 0.188504i \(-0.0603638\pi\)
\(14\) −1.91914 + 3.61989i −0.0366366 + 0.0691040i
\(15\) 13.2009 2.90574i 0.227231 0.0500173i
\(16\) 57.7934 + 26.7381i 0.903021 + 0.417782i
\(17\) −43.9106 110.207i −0.626464 1.57230i −0.808168 0.588952i \(-0.799541\pi\)
0.181705 0.983353i \(-0.441838\pi\)
\(18\) −0.0563787 1.03984i −0.000738255 0.0136163i
\(19\) −24.7078 36.4412i −0.298334 0.440010i 0.648747 0.761004i \(-0.275293\pi\)
−0.947081 + 0.320994i \(0.895983\pi\)
\(20\) 23.2961 + 27.4263i 0.260458 + 0.306635i
\(21\) −49.7583 93.8541i −0.517055 0.975269i
\(22\) 6.58384 2.21836i 0.0638036 0.0214980i
\(23\) −3.13883 + 57.8923i −0.0284561 + 0.524842i 0.949205 + 0.314657i \(0.101889\pi\)
−0.977662 + 0.210185i \(0.932593\pi\)
\(24\) 4.75498 2.86098i 0.0404420 0.0243331i
\(25\) −28.0100 100.883i −0.224080 0.807063i
\(26\) 1.00086 3.60478i 0.00754942 0.0271906i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 158.705 234.072i 1.07116 1.57984i
\(29\) 136.883 14.8869i 0.876501 0.0953253i 0.341204 0.939989i \(-0.389165\pi\)
0.535297 + 0.844664i \(0.320200\pi\)
\(30\) 1.55485 0.169100i 0.00946251 0.00102911i
\(31\) −55.2317 + 81.4606i −0.319997 + 0.471960i −0.953335 0.301915i \(-0.902374\pi\)
0.633338 + 0.773875i \(0.281684\pi\)
\(32\) 18.9934 + 11.4280i 0.104925 + 0.0631311i
\(33\) −48.1901 + 173.565i −0.254207 + 0.915570i
\(34\) −3.67230 13.2264i −0.0185234 0.0667151i
\(35\) 136.705 82.2529i 0.660212 0.397236i
\(36\) −3.89148 + 71.7741i −0.0180161 + 0.332287i
\(37\) 366.476 123.480i 1.62833 0.548649i 0.650767 0.759278i \(-0.274448\pi\)
0.977566 + 0.210629i \(0.0675511\pi\)
\(38\) −2.38624 4.50092i −0.0101868 0.0192144i
\(39\) 62.7951 + 73.9281i 0.257827 + 0.303538i
\(40\) 4.67718 + 6.89833i 0.0184882 + 0.0272680i
\(41\) −1.09664 20.2263i −0.00417722 0.0770443i 0.995701 0.0926208i \(-0.0295244\pi\)
−0.999879 + 0.0155765i \(0.995042\pi\)
\(42\) −4.54954 11.4185i −0.0167145 0.0419503i
\(43\) 119.384 + 55.2328i 0.423392 + 0.195882i 0.620003 0.784600i \(-0.287132\pi\)
−0.196611 + 0.980482i \(0.562994\pi\)
\(44\) −468.334 + 103.088i −1.60464 + 0.353207i
\(45\) −18.9944 + 35.8271i −0.0629225 + 0.118684i
\(46\) −1.08530 + 6.62006i −0.00347868 + 0.0212190i
\(47\) −297.381 + 226.063i −0.922924 + 0.701589i −0.954594 0.297909i \(-0.903711\pi\)
0.0316697 + 0.999498i \(0.489918\pi\)
\(48\) −173.380 + 80.2142i −0.521360 + 0.241207i
\(49\) −661.260 626.379i −1.92787 1.82618i
\(50\) −1.95991 11.9549i −0.00554346 0.0338136i
\(51\) 337.269 + 113.639i 0.926021 + 0.312013i
\(52\) −95.5801 + 239.888i −0.254896 + 0.639740i
\(53\) 190.286 180.248i 0.493165 0.467151i −0.400235 0.916412i \(-0.631072\pi\)
0.893400 + 0.449262i \(0.148313\pi\)
\(54\) 2.48708 + 1.89063i 0.00626758 + 0.00476449i
\(55\) −264.211 58.1571i −0.647748 0.142580i
\(56\) 42.4036 49.9214i 0.101186 0.119125i
\(57\) 131.309 + 14.2807i 0.305128 + 0.0331846i
\(58\) 15.9318 0.0360682
\(59\) 453.173 3.65433i 0.999967 0.00806362i
\(60\) −107.955 −0.232281
\(61\) −156.618 17.0332i −0.328736 0.0357522i −0.0577368 0.998332i \(-0.518388\pi\)
−0.270999 + 0.962580i \(0.587354\pi\)
\(62\) −7.37237 + 8.67942i −0.0151015 + 0.0177788i
\(63\) 311.235 + 68.5079i 0.622411 + 0.137003i
\(64\) −403.513 306.742i −0.788110 0.599106i
\(65\) −105.763 + 100.184i −0.201819 + 0.191173i
\(66\) −7.71463 + 19.3623i −0.0143880 + 0.0361111i
\(67\) −374.132 126.060i −0.682201 0.229860i −0.0432004 0.999066i \(-0.513755\pi\)
−0.639001 + 0.769206i \(0.720652\pi\)
\(68\) 153.284 + 934.994i 0.273360 + 1.66742i
\(69\) −126.274 119.613i −0.220313 0.208691i
\(70\) 16.7542 7.75130i 0.0286072 0.0132351i
\(71\) 616.021 468.287i 1.02969 0.782753i 0.0532622 0.998581i \(-0.483038\pi\)
0.976431 + 0.215828i \(0.0692450\pi\)
\(72\) −2.69335 + 16.4287i −0.00440853 + 0.0268908i
\(73\) 186.869 352.472i 0.299607 0.565120i −0.687307 0.726368i \(-0.741207\pi\)
0.986914 + 0.161248i \(0.0515519\pi\)
\(74\) 43.7004 9.61918i 0.0686495 0.0151109i
\(75\) 285.067 + 131.886i 0.438890 + 0.203052i
\(76\) 130.152 + 326.658i 0.196441 + 0.493030i
\(77\) 115.106 + 2123.00i 0.170357 + 3.14205i
\(78\) 6.29844 + 9.28950i 0.00914305 + 0.0134850i
\(79\) −529.258 623.091i −0.753749 0.887382i 0.242827 0.970070i \(-0.421925\pi\)
−0.996575 + 0.0826878i \(0.973650\pi\)
\(80\) −134.393 253.492i −0.187820 0.354266i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 0.126890 2.34034i 0.000170886 0.00315180i
\(83\) −98.8592 + 59.4816i −0.130737 + 0.0786621i −0.579420 0.815029i \(-0.696721\pi\)
0.448683 + 0.893691i \(0.351893\pi\)
\(84\) 226.973 + 817.481i 0.294818 + 1.06184i
\(85\) −142.999 + 515.035i −0.182475 + 0.657216i
\(86\) 13.0417 + 7.84692i 0.0163526 + 0.00983902i
\(87\) −231.810 + 341.894i −0.285662 + 0.421320i
\(88\) −110.416 + 12.0085i −0.133755 + 0.0145467i
\(89\) −1183.81 + 128.747i −1.40992 + 0.153338i −0.781195 0.624287i \(-0.785390\pi\)
−0.628728 + 0.777625i \(0.716424\pi\)
\(90\) −2.63312 + 3.88356i −0.00308395 + 0.00454848i
\(91\) 981.000 + 590.248i 1.13007 + 0.679943i
\(92\) 123.877 446.164i 0.140381 0.505607i
\(93\) −78.9899 284.496i −0.0880739 0.317213i
\(94\) −37.0357 + 22.2836i −0.0406377 + 0.0244509i
\(95\) −10.7397 + 198.082i −0.0115986 + 0.213924i
\(96\) −63.0181 + 21.2333i −0.0669975 + 0.0225741i
\(97\) −633.234 1194.41i −0.662836 1.25024i −0.955772 0.294110i \(-0.904977\pi\)
0.292935 0.956132i \(-0.405368\pi\)
\(98\) −68.2283 80.3246i −0.0703276 0.0827960i
\(99\) −303.261 447.277i −0.307868 0.454071i
\(100\) 45.2705 + 834.965i 0.0452705 + 0.834965i
\(101\) −237.752 596.712i −0.234229 0.587871i 0.764134 0.645057i \(-0.223167\pi\)
−0.998364 + 0.0571859i \(0.981787\pi\)
\(102\) 37.3742 + 17.2912i 0.0362804 + 0.0167851i
\(103\) 1042.27 229.421i 0.997066 0.219471i 0.313680 0.949529i \(-0.398438\pi\)
0.683385 + 0.730058i \(0.260507\pi\)
\(104\) −28.0146 + 52.8412i −0.0264141 + 0.0498222i
\(105\) −77.4334 + 472.323i −0.0719688 + 0.438990i
\(106\) 24.1434 18.3534i 0.0221228 0.0168173i
\(107\) −892.884 + 413.092i −0.806713 + 0.373225i −0.779498 0.626404i \(-0.784526\pi\)
−0.0272149 + 0.999630i \(0.508664\pi\)
\(108\) −156.553 148.294i −0.139484 0.132126i
\(109\) −219.289 1337.60i −0.192698 1.17541i −0.889086 0.457740i \(-0.848659\pi\)
0.696388 0.717666i \(-0.254789\pi\)
\(110\) −29.6645 9.99513i −0.0257127 0.00866362i
\(111\) −429.419 + 1077.76i −0.367195 + 0.921590i
\(112\) −1637.00 + 1550.65i −1.38109 + 1.30824i
\(113\) −16.5012 12.5439i −0.0137372 0.0104428i 0.598283 0.801285i \(-0.295850\pi\)
−0.612020 + 0.790842i \(0.709643\pi\)
\(114\) 14.9258 + 3.28541i 0.0122625 + 0.00269918i
\(115\) 169.114 199.096i 0.137130 0.161442i
\(116\) −1093.23 118.896i −0.875035 0.0951657i
\(117\) −290.994 −0.229935
\(118\) 52.1740 + 5.24894i 0.0407035 + 0.00409495i
\(119\) 4200.73 3.23597
\(120\) −24.8568 2.70334i −0.0189092 0.00205650i
\(121\) 1472.31 1733.34i 1.10617 1.30228i
\(122\) −17.8026 3.91865i −0.0132113 0.00290802i
\(123\) 48.3770 + 36.7752i 0.0354635 + 0.0269586i
\(124\) 570.659 540.557i 0.413280 0.391480i
\(125\) −383.072 + 961.438i −0.274104 + 0.687949i
\(126\) 34.9442 + 11.7741i 0.0247069 + 0.00832473i
\(127\) 145.127 + 885.236i 0.101401 + 0.618520i 0.987816 + 0.155628i \(0.0497400\pi\)
−0.886415 + 0.462892i \(0.846812\pi\)
\(128\) −171.320 162.283i −0.118302 0.112062i
\(129\) −358.151 + 165.698i −0.244445 + 0.113092i
\(130\) −13.4192 + 10.2010i −0.00905337 + 0.00688219i
\(131\) 160.845 981.111i 0.107275 0.654352i −0.877374 0.479807i \(-0.840707\pi\)
0.984649 0.174544i \(-0.0558452\pi\)
\(132\) 673.869 1271.05i 0.444339 0.838113i
\(133\) 1522.55 335.139i 0.992645 0.218498i
\(134\) −41.4592 19.1811i −0.0267278 0.0123656i
\(135\) −45.0282 113.012i −0.0287068 0.0720485i
\(136\) 11.8805 + 219.123i 0.00749076 + 0.138159i
\(137\) 464.423 + 684.973i 0.289623 + 0.427162i 0.944469 0.328600i \(-0.106577\pi\)
−0.654846 + 0.755762i \(0.727267\pi\)
\(138\) −13.0288 15.3387i −0.00803687 0.00946174i
\(139\) −1047.35 1975.51i −0.639100 1.20547i −0.965541 0.260252i \(-0.916194\pi\)
0.326441 0.945218i \(-0.394151\pi\)
\(140\) −1207.50 + 406.856i −0.728949 + 0.245611i
\(141\) 60.6708 1119.01i 0.0362369 0.668351i
\(142\) 76.7190 46.1603i 0.0453389 0.0272795i
\(143\) −519.371 1870.61i −0.303720 1.09390i
\(144\) 153.323 552.220i 0.0887286 0.319572i
\(145\) −531.580 319.841i −0.304450 0.183182i
\(146\) 25.9050 38.2069i 0.0146843 0.0216577i
\(147\) 2716.48 295.435i 1.52416 0.165762i
\(148\) −3070.48 + 333.934i −1.70535 + 0.185468i
\(149\) 452.695 667.676i 0.248901 0.367101i −0.682630 0.730765i \(-0.739164\pi\)
0.931531 + 0.363663i \(0.118474\pi\)
\(150\) 31.1412 + 18.7371i 0.0169511 + 0.0101992i
\(151\) 102.891 370.580i 0.0554513 0.199717i −0.930636 0.365946i \(-0.880745\pi\)
0.986087 + 0.166229i \(0.0531591\pi\)
\(152\) 21.7879 + 78.4729i 0.0116265 + 0.0418750i
\(153\) −914.863 + 550.455i −0.483414 + 0.290860i
\(154\) −13.3186 + 245.648i −0.00696912 + 0.128538i
\(155\) 420.230 141.592i 0.217766 0.0733738i
\(156\) −362.869 684.443i −0.186236 0.351278i
\(157\) 2324.32 + 2736.41i 1.18154 + 1.39101i 0.902477 + 0.430738i \(0.141747\pi\)
0.279060 + 0.960274i \(0.409977\pi\)
\(158\) −53.0853 78.2950i −0.0267294 0.0394229i
\(159\) 42.5699 + 785.156i 0.0212328 + 0.391616i
\(160\) −36.9671 92.7805i −0.0182657 0.0458434i
\(161\) −1863.20 862.010i −0.912056 0.421962i
\(162\) −9.15322 + 2.01478i −0.00443917 + 0.000977134i
\(163\) −322.619 + 608.524i −0.155027 + 0.292413i −0.948844 0.315744i \(-0.897746\pi\)
0.793817 + 0.608157i \(0.208091\pi\)
\(164\) −26.1726 + 159.646i −0.0124618 + 0.0760136i
\(165\) 646.114 491.163i 0.304848 0.231740i
\(166\) −12.1159 + 5.60540i −0.00566490 + 0.00262086i
\(167\) −1706.25 1616.25i −0.790620 0.748915i 0.181502 0.983391i \(-0.441904\pi\)
−0.972122 + 0.234475i \(0.924663\pi\)
\(168\) 31.7900 + 193.910i 0.0145991 + 0.0890507i
\(169\) 1091.32 + 367.708i 0.496731 + 0.167368i
\(170\) −22.8923 + 57.4553i −0.0103280 + 0.0259213i
\(171\) −287.675 + 272.500i −0.128650 + 0.121863i
\(172\) −836.351 635.778i −0.370763 0.281847i
\(173\) 1640.98 + 361.207i 0.721165 + 0.158740i 0.560364 0.828247i \(-0.310661\pi\)
0.160801 + 0.986987i \(0.448592\pi\)
\(174\) −30.9422 + 36.4279i −0.0134811 + 0.0158712i
\(175\) 3685.61 + 400.834i 1.59203 + 0.173144i
\(176\) 3823.51 1.63755
\(177\) −871.778 + 1043.27i −0.370208 + 0.443034i
\(178\) −137.783 −0.0580185
\(179\) 1008.74 + 109.708i 0.421213 + 0.0458096i 0.316271 0.948669i \(-0.397569\pi\)
0.104941 + 0.994478i \(0.466535\pi\)
\(180\) 209.665 246.837i 0.0868195 0.102212i
\(181\) 835.129 + 183.826i 0.342954 + 0.0754899i 0.383108 0.923704i \(-0.374854\pi\)
−0.0401538 + 0.999194i \(0.512785\pi\)
\(182\) 105.460 + 80.1686i 0.0429517 + 0.0326510i
\(183\) 343.123 325.024i 0.138603 0.131292i
\(184\) 39.6955 99.6282i 0.0159043 0.0399168i
\(185\) −1651.21 556.358i −0.656214 0.221104i
\(186\) −5.52707 33.7136i −0.00217884 0.0132903i
\(187\) −5171.38 4898.59i −2.02229 1.91562i
\(188\) 2707.66 1252.70i 1.05041 0.485970i
\(189\) −761.110 + 578.581i −0.292924 + 0.222675i
\(190\) −3.71344 + 22.6510i −0.00141790 + 0.00864882i
\(191\) 2356.65 4445.12i 0.892782 1.68397i 0.178701 0.983903i \(-0.442810\pi\)
0.714081 0.700063i \(-0.246845\pi\)
\(192\) 1485.05 326.884i 0.558198 0.122869i
\(193\) 332.413 + 153.791i 0.123977 + 0.0573580i 0.480897 0.876777i \(-0.340311\pi\)
−0.356920 + 0.934135i \(0.616173\pi\)
\(194\) −57.8983 145.314i −0.0214271 0.0537780i
\(195\) −23.6608 436.397i −0.00868915 0.160262i
\(196\) 4082.33 + 6020.99i 1.48773 + 2.19424i
\(197\) 1189.09 + 1399.90i 0.430045 + 0.506288i 0.933917 0.357490i \(-0.116367\pi\)
−0.503872 + 0.863778i \(0.668092\pi\)
\(198\) −29.2885 55.2440i −0.0105123 0.0198284i
\(199\) −4241.22 + 1429.03i −1.51081 + 0.509053i −0.948202 0.317668i \(-0.897100\pi\)
−0.562612 + 0.826721i \(0.690204\pi\)
\(200\) −10.4851 + 193.386i −0.00370704 + 0.0683723i
\(201\) 1014.86 610.619i 0.356132 0.214277i
\(202\) −19.8835 71.6138i −0.00692573 0.0249442i
\(203\) −1304.34 + 4697.83i −0.450971 + 1.62425i
\(204\) −2435.55 1465.42i −0.835896 0.502942i
\(205\) −51.2175 + 75.5402i −0.0174497 + 0.0257364i
\(206\) 122.762 13.3512i 0.0415205 0.00451563i
\(207\) 518.737 56.4160i 0.174177 0.0189429i
\(208\) 1155.43 1704.13i 0.385167 0.568079i
\(209\) −2265.17 1362.91i −0.749691 0.451074i
\(210\) −14.8160 + 53.3624i −0.00486858 + 0.0175350i
\(211\) 88.6503 + 319.289i 0.0289239 + 0.104174i 0.976603 0.215050i \(-0.0689914\pi\)
−0.947679 + 0.319224i \(0.896578\pi\)
\(212\) −1793.67 + 1079.22i −0.581084 + 0.349627i
\(213\) −125.679 + 2318.01i −0.0404290 + 0.745669i
\(214\) −107.876 + 36.3476i −0.0344591 + 0.0116106i
\(215\) −277.616 523.639i −0.0880616 0.166102i
\(216\) −32.3331 38.0654i −0.0101851 0.0119908i
\(217\) −1955.73 2884.48i −0.611812 0.902356i
\(218\) −8.49101 156.607i −0.00263800 0.0486550i
\(219\) 442.993 + 1111.83i 0.136688 + 0.343062i
\(220\) 1960.96 + 907.239i 0.600946 + 0.278027i
\(221\) −3746.04 + 824.565i −1.14021 + 0.250979i
\(222\) −62.8790 + 118.602i −0.0190097 + 0.0358561i
\(223\) −65.6135 + 400.225i −0.0197032 + 0.120184i −0.994847 0.101390i \(-0.967671\pi\)
0.975144 + 0.221574i \(0.0711194\pi\)
\(224\) −624.853 + 475.001i −0.186383 + 0.141685i
\(225\) −855.201 + 395.658i −0.253393 + 0.117232i
\(226\) −1.74120 1.64936i −0.000512492 0.000485458i
\(227\) −479.034 2921.98i −0.140064 0.854354i −0.959609 0.281338i \(-0.909222\pi\)
0.819544 0.573016i \(-0.194227\pi\)
\(228\) −999.676 336.830i −0.290374 0.0978382i
\(229\) 156.754 393.422i 0.0452340 0.113529i −0.904624 0.426211i \(-0.859848\pi\)
0.949858 + 0.312682i \(0.101227\pi\)
\(230\) 21.9438 20.7863i 0.00629101 0.00595916i
\(231\) −5077.76 3860.01i −1.44629 1.09944i
\(232\) −248.742 54.7521i −0.0703909 0.0154942i
\(233\) −4043.01 + 4759.80i −1.13676 + 1.33830i −0.203516 + 0.979072i \(0.565237\pi\)
−0.933249 + 0.359231i \(0.883039\pi\)
\(234\) −33.4729 3.64040i −0.00935124 0.00101701i
\(235\) 1683.09 0.467202
\(236\) −3540.97 749.542i −0.976685 0.206742i
\(237\) 2452.59 0.672206
\(238\) 483.209 + 52.5521i 0.131604 + 0.0143128i
\(239\) −2289.37 + 2695.25i −0.619610 + 0.729461i −0.979030 0.203715i \(-0.934699\pi\)
0.359420 + 0.933176i \(0.382974\pi\)
\(240\) 840.620 + 185.034i 0.226091 + 0.0497663i
\(241\) 2355.52 + 1790.62i 0.629594 + 0.478605i 0.870648 0.491907i \(-0.163700\pi\)
−0.241054 + 0.970512i \(0.577493\pi\)
\(242\) 191.044 180.966i 0.0507470 0.0480701i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) 1192.36 + 401.752i 0.312840 + 0.105408i
\(245\) 663.935 + 4049.83i 0.173132 + 1.05606i
\(246\) 5.10472 + 4.83545i 0.00132303 + 0.00125324i
\(247\) −1291.96 + 597.725i −0.332816 + 0.153977i
\(248\) 144.932 110.174i 0.0371096 0.0282100i
\(249\) 55.9964 341.563i 0.0142515 0.0869304i
\(250\) −56.0924 + 105.802i −0.0141904 + 0.0267659i
\(251\) 5457.01 1201.18i 1.37228 0.302062i 0.533165 0.846011i \(-0.321002\pi\)
0.839118 + 0.543949i \(0.183071\pi\)
\(252\) −2309.98 1068.71i −0.577440 0.267152i
\(253\) 1288.51 + 3233.92i 0.320190 + 0.803617i
\(254\) 5.61941 + 103.644i 0.00138816 + 0.0256031i
\(255\) −899.894 1327.24i −0.220994 0.325942i
\(256\) 2607.43 + 3069.70i 0.636579 + 0.749439i
\(257\) −1802.34 3399.57i −0.437459 0.825135i 0.562540 0.826770i \(-0.309824\pi\)
−0.999999 + 0.00163536i \(0.999479\pi\)
\(258\) −43.2709 + 14.5797i −0.0104416 + 0.00351818i
\(259\) −741.354 + 13673.5i −0.177859 + 3.28042i
\(260\) 996.941 599.839i 0.237799 0.143079i
\(261\) −331.524 1194.04i −0.0786239 0.283178i
\(262\) 30.7759 110.845i 0.00725702 0.0261374i
\(263\) 6900.37 + 4151.81i 1.61785 + 0.973429i 0.978940 + 0.204149i \(0.0654427\pi\)
0.638912 + 0.769280i \(0.279385\pi\)
\(264\) 186.989 275.788i 0.0435923 0.0642938i
\(265\) −1174.02 + 127.682i −0.272149 + 0.0295980i
\(266\) 179.331 19.5034i 0.0413364 0.00449561i
\(267\) 2004.76 2956.80i 0.459511 0.677728i
\(268\) 2701.76 + 1625.59i 0.615806 + 0.370518i
\(269\) 115.622 416.431i 0.0262066 0.0943876i −0.949290 0.314401i \(-0.898196\pi\)
0.975497 + 0.220013i \(0.0706101\pi\)
\(270\) −3.76577 13.5631i −0.000848805 0.00305712i
\(271\) −3345.00 + 2012.62i −0.749794 + 0.451136i −0.838486 0.544923i \(-0.816559\pi\)
0.0886923 + 0.996059i \(0.471731\pi\)
\(272\) 408.988 7543.33i 0.0911710 1.68155i
\(273\) −3254.85 + 1096.69i −0.721585 + 0.243130i
\(274\) 44.8533 + 84.6022i 0.00988936 + 0.0186533i
\(275\) −4069.81 4791.35i −0.892431 1.05065i
\(276\) 779.560 + 1149.76i 0.170014 + 0.250752i
\(277\) −151.853 2800.77i −0.0329385 0.607515i −0.967679 0.252185i \(-0.918851\pi\)
0.934741 0.355331i \(-0.115632\pi\)
\(278\) −95.7619 240.344i −0.0206598 0.0518521i
\(279\) 803.907 + 371.927i 0.172504 + 0.0798089i
\(280\) −288.219 + 63.4417i −0.0615156 + 0.0135406i
\(281\) −2034.77 + 3837.98i −0.431972 + 0.814786i −0.999966 0.00824669i \(-0.997375\pi\)
0.567994 + 0.823033i \(0.307720\pi\)
\(282\) 20.9780 127.960i 0.00442986 0.0270209i
\(283\) −1919.88 + 1459.46i −0.403270 + 0.306558i −0.787076 0.616856i \(-0.788406\pi\)
0.383806 + 0.923414i \(0.374613\pi\)
\(284\) −5608.89 + 2594.95i −1.17192 + 0.542190i
\(285\) −432.054 409.264i −0.0897989 0.0850621i
\(286\) −36.3414 221.673i −0.00751367 0.0458314i
\(287\) 679.709 + 229.020i 0.139798 + 0.0471033i
\(288\) 73.8416 185.328i 0.0151082 0.0379187i
\(289\) −6650.68 + 6299.86i −1.35369 + 1.28228i
\(290\) −57.1462 43.4414i −0.0115715 0.00879643i
\(291\) 3960.83 + 871.845i 0.797897 + 0.175630i
\(292\) −2062.71 + 2428.41i −0.413394 + 0.486685i
\(293\) 8493.34 + 923.706i 1.69347 + 0.184176i 0.903387 0.428827i \(-0.141073\pi\)
0.790081 + 0.613002i \(0.210038\pi\)
\(294\) 316.171 0.0627194
\(295\) −1635.46 1222.56i −0.322780 0.241289i
\(296\) −715.345 −0.140468
\(297\) 1611.68 + 175.280i 0.314878 + 0.0342451i
\(298\) 60.4261 71.1391i 0.0117463 0.0138288i
\(299\) 1830.73 + 402.975i 0.354093 + 0.0779419i
\(300\) −1997.06 1518.12i −0.384334 0.292163i
\(301\) −3381.55 + 3203.18i −0.647539 + 0.613382i
\(302\) 16.4715 41.3404i 0.00313851 0.00787707i
\(303\) 1826.12 + 615.293i 0.346231 + 0.116659i
\(304\) −453.578 2766.70i −0.0855739 0.521977i
\(305\) 515.331 + 488.147i 0.0967467 + 0.0916434i
\(306\) −112.123 + 51.8735i −0.0209465 + 0.00969088i
\(307\) 5436.42 4132.66i 1.01066 0.768284i 0.0377080 0.999289i \(-0.487994\pi\)
0.972953 + 0.231005i \(0.0742012\pi\)
\(308\) 2747.13 16756.8i 0.508222 3.10002i
\(309\) −1499.68 + 2828.70i −0.276097 + 0.520775i
\(310\) 50.1103 11.0301i 0.00918088 0.00202086i
\(311\) −5120.42 2368.96i −0.933610 0.431934i −0.106714 0.994290i \(-0.534033\pi\)
−0.826895 + 0.562356i \(0.809895\pi\)
\(312\) −66.4118 166.681i −0.0120507 0.0302451i
\(313\) 295.925 + 5458.01i 0.0534398 + 0.985639i 0.895166 + 0.445734i \(0.147057\pi\)
−0.841726 + 0.539905i \(0.818460\pi\)
\(314\) 233.133 + 343.845i 0.0418995 + 0.0617972i
\(315\) −929.572 1094.38i −0.166271 0.195750i
\(316\) 3058.38 + 5768.71i 0.544453 + 1.02695i
\(317\) −2740.71 + 923.453i −0.485595 + 0.163616i −0.551441 0.834214i \(-0.685922\pi\)
0.0658462 + 0.997830i \(0.479025\pi\)
\(318\) −4.92567 + 90.8487i −0.000868610 + 0.0160206i
\(319\) 7084.00 4262.30i 1.24335 0.748097i
\(320\) 610.970 + 2200.52i 0.106732 + 0.384414i
\(321\) 789.593 2843.86i 0.137292 0.494482i
\(322\) −203.540 122.466i −0.0352261 0.0211949i
\(323\) −2931.16 + 4323.13i −0.504935 + 0.744723i
\(324\) 643.123 69.9439i 0.110275 0.0119931i
\(325\) −3365.35 + 366.004i −0.574388 + 0.0624685i
\(326\) −44.7235 + 65.9622i −0.00759817 + 0.0112065i
\(327\) 3484.31 + 2096.44i 0.589244 + 0.354536i
\(328\) −10.0240 + 36.1033i −0.00168745 + 0.00607766i
\(329\) −3538.66 12745.1i −0.592986 2.13574i
\(330\) 80.4669 48.4153i 0.0134229 0.00807629i
\(331\) 369.391 6813.01i 0.0613400 1.13135i −0.792179 0.610289i \(-0.791053\pi\)
0.853519 0.521061i \(-0.174464\pi\)
\(332\) 873.214 294.220i 0.144349 0.0486368i
\(333\) −1630.29 3075.04i −0.268286 0.506040i
\(334\) −176.050 207.262i −0.0288413 0.0339546i
\(335\) 998.252 + 1472.31i 0.162807 + 0.240122i
\(336\) −366.223 6754.59i −0.0594616 1.09671i
\(337\) 1078.76 + 2707.47i 0.174373 + 0.437643i 0.990024 0.140902i \(-0.0450002\pi\)
−0.815651 + 0.578544i \(0.803621\pi\)
\(338\) 120.934 + 55.9500i 0.0194613 + 0.00900378i
\(339\) 60.7295 13.3676i 0.00972971 0.00214167i
\(340\) 1999.63 3771.70i 0.318956 0.601616i
\(341\) −956.044 + 5831.61i −0.151826 + 0.926098i
\(342\) −36.5002 + 27.7467i −0.00577107 + 0.00438705i
\(343\) 18248.3 8442.56i 2.87264 1.32902i
\(344\) −176.651 167.333i −0.0276871 0.0262266i
\(345\) 126.785 + 773.352i 0.0197851 + 0.120684i
\(346\) 184.243 + 62.0786i 0.0286270 + 0.00964556i
\(347\) −2958.12 + 7424.32i −0.457637 + 1.14858i 0.501378 + 0.865228i \(0.332827\pi\)
−0.959015 + 0.283354i \(0.908553\pi\)
\(348\) 2395.08 2268.74i 0.368937 0.349475i
\(349\) −5182.76 3939.83i −0.794918 0.604281i 0.126895 0.991916i \(-0.459499\pi\)
−0.921813 + 0.387635i \(0.873292\pi\)
\(350\) 418.940 + 92.2156i 0.0639808 + 0.0140832i
\(351\) 565.156 665.353i 0.0859424 0.101179i
\(352\) 1323.15 + 143.901i 0.200352 + 0.0217896i
\(353\) 5284.54 0.796793 0.398396 0.917213i \(-0.369567\pi\)
0.398396 + 0.917213i \(0.369567\pi\)
\(354\) −113.332 + 109.101i −0.0170156 + 0.0163804i
\(355\) −3486.49 −0.521250
\(356\) 9454.60 + 1028.25i 1.40756 + 0.153082i
\(357\) −8158.49 + 9604.92i −1.20950 + 1.42394i
\(358\) 114.663 + 25.2392i 0.0169277 + 0.00372607i
\(359\) 130.402 + 99.1291i 0.0191709 + 0.0145734i 0.614716 0.788749i \(-0.289271\pi\)
−0.595545 + 0.803322i \(0.703064\pi\)
\(360\) 54.4569 51.5843i 0.00797259 0.00755204i
\(361\) 1821.29 4571.09i 0.265533 0.666436i
\(362\) 93.7649 + 31.5931i 0.0136137 + 0.00458700i
\(363\) 1103.79 + 6732.84i 0.159598 + 0.973506i
\(364\) −6638.30 6288.14i −0.955884 0.905461i
\(365\) −1631.37 + 754.751i −0.233944 + 0.108234i
\(366\) 43.5354 33.0948i 0.00621758 0.00472648i
\(367\) 57.8356 352.782i 0.00822615 0.0501773i −0.982394 0.186818i \(-0.940182\pi\)
0.990621 + 0.136641i \(0.0436307\pi\)
\(368\) −1729.33 + 3261.86i −0.244966 + 0.462055i
\(369\) −178.042 + 39.1900i −0.0251179 + 0.00552886i
\(370\) −182.978 84.6547i −0.0257097 0.0118946i
\(371\) 3435.23 + 8621.77i 0.480723 + 1.20652i
\(372\) 127.666 + 2354.65i 0.0177934 + 0.328180i
\(373\) −7311.70 10784.0i −1.01497 1.49698i −0.860808 0.508931i \(-0.830041\pi\)
−0.154167 0.988045i \(-0.549269\pi\)
\(374\) −533.579 628.178i −0.0737720 0.0868511i
\(375\) −1454.33 2743.15i −0.200270 0.377749i
\(376\) 654.814 220.633i 0.0898124 0.0302613i
\(377\) 241.020 4445.36i 0.0329262 0.607288i
\(378\) −94.7883 + 57.0322i −0.0128978 + 0.00776038i
\(379\) −2467.05 8885.52i −0.334364 1.20427i −0.919420 0.393278i \(-0.871341\pi\)
0.585056 0.810993i \(-0.301073\pi\)
\(380\) 423.853 1526.58i 0.0572190 0.206084i
\(381\) −2305.94 1387.44i −0.310071 0.186563i
\(382\) 326.694 481.838i 0.0437569 0.0645366i
\(383\) −9429.12 + 1025.48i −1.25798 + 0.136813i −0.712716 0.701453i \(-0.752535\pi\)
−0.545261 + 0.838266i \(0.683570\pi\)
\(384\) 703.788 76.5416i 0.0935287 0.0101719i
\(385\) 5375.91 7928.87i 0.711640 1.04959i
\(386\) 36.3134 + 21.8491i 0.00478835 + 0.00288106i
\(387\) 316.719 1140.72i 0.0416014 0.149835i
\(388\) 2888.49 + 10403.4i 0.377941 + 1.36122i
\(389\) 2172.29 1307.02i 0.283135 0.170356i −0.366901 0.930260i \(-0.619581\pi\)
0.650036 + 0.759903i \(0.274754\pi\)
\(390\) 2.73774 50.4946i 0.000355464 0.00655614i
\(391\) 6517.97 2196.16i 0.843039 0.284053i
\(392\) 789.192 + 1488.57i 0.101684 + 0.191797i
\(393\) 1930.91 + 2273.24i 0.247841 + 0.291781i
\(394\) 119.267 + 175.906i 0.0152502 + 0.0224924i
\(395\) 199.421 + 3678.10i 0.0254024 + 0.468520i
\(396\) 1597.48 + 4009.38i 0.202718 + 0.508785i
\(397\) −6712.92 3105.73i −0.848644 0.392625i −0.0531505 0.998587i \(-0.516926\pi\)
−0.795494 + 0.605962i \(0.792788\pi\)
\(398\) −505.743 + 111.322i −0.0636950 + 0.0140203i
\(399\) −2190.74 + 4132.18i −0.274873 + 0.518466i
\(400\) 1078.62 6579.29i 0.134828 0.822412i
\(401\) 2062.60 1567.95i 0.256861 0.195260i −0.468817 0.883295i \(-0.655320\pi\)
0.725678 + 0.688035i \(0.241526\pi\)
\(402\) 124.378 57.5432i 0.0154313 0.00713929i
\(403\) 2310.23 + 2188.37i 0.285560 + 0.270497i
\(404\) 829.951 + 5062.48i 0.102207 + 0.623435i
\(405\) 345.853 + 116.531i 0.0424335 + 0.0142975i
\(406\) −208.809 + 524.071i −0.0255247 + 0.0640621i
\(407\) 16857.7 15968.4i 2.05308 1.94478i
\(408\) −524.095 398.406i −0.0635945 0.0483433i
\(409\) −9956.40 2191.57i −1.20370 0.264954i −0.432550 0.901610i \(-0.642386\pi\)
−0.771148 + 0.636656i \(0.780317\pi\)
\(410\) −6.83656 + 8.04862i −0.000823496 + 0.000969495i
\(411\) −2468.17 268.429i −0.296218 0.0322157i
\(412\) −8523.47 −1.01923
\(413\) −5819.26 + 14954.8i −0.693334 + 1.78179i
\(414\) 60.3759 0.00716742
\(415\) 516.788 + 56.2041i 0.0611281 + 0.00664808i
\(416\) 463.980 546.239i 0.0546838 0.0643788i
\(417\) 6551.08 + 1442.00i 0.769324 + 0.169341i
\(418\) −243.512 185.113i −0.0284941 0.0216607i
\(419\) 7134.74 6758.38i 0.831873 0.787992i −0.147711 0.989031i \(-0.547190\pi\)
0.979583 + 0.201039i \(0.0644318\pi\)
\(420\) 1414.90 3551.12i 0.164381 0.412564i
\(421\) −11866.5 3998.30i −1.37373 0.462862i −0.466879 0.884321i \(-0.654622\pi\)
−0.906847 + 0.421459i \(0.861518\pi\)
\(422\) 6.20303 + 37.8368i 0.000715542 + 0.00436461i
\(423\) 2440.76 + 2312.01i 0.280553 + 0.265754i
\(424\) −440.022 + 203.576i −0.0503994 + 0.0233172i
\(425\) −9888.09 + 7516.73i −1.12857 + 0.857917i
\(426\) −43.4556 + 265.068i −0.00494233 + 0.0301469i
\(427\) 2613.00 4928.64i 0.296140 0.558580i
\(428\) 7673.63 1689.09i 0.866632 0.190760i
\(429\) 5285.82 + 2445.48i 0.594876 + 0.275219i
\(430\) −25.3832 63.7070i −0.00284671 0.00714471i
\(431\) −318.026 5865.65i −0.0355424 0.655542i −0.960976 0.276632i \(-0.910782\pi\)
0.925434 0.378910i \(-0.123701\pi\)
\(432\) 964.865 + 1423.07i 0.107459 + 0.158490i
\(433\) 7161.21 + 8430.83i 0.794794 + 0.935704i 0.999066 0.0432099i \(-0.0137584\pi\)
−0.204272 + 0.978914i \(0.565483\pi\)
\(434\) −188.881 356.267i −0.0208907 0.0394041i
\(435\) 1763.73 594.268i 0.194400 0.0655011i
\(436\) −586.083 + 10809.7i −0.0643768 + 1.18736i
\(437\) 2187.22 1316.01i 0.239425 0.144057i
\(438\) 37.0481 + 133.435i 0.00404162 + 0.0145566i
\(439\) −75.0327 + 270.243i −0.00815744 + 0.0293804i −0.967517 0.252807i \(-0.918646\pi\)
0.959359 + 0.282187i \(0.0910600\pi\)
\(440\) 428.797 + 257.999i 0.0464594 + 0.0279537i
\(441\) −4600.32 + 6784.97i −0.496742 + 0.732639i
\(442\) −441.221 + 47.9857i −0.0474813 + 0.00516390i
\(443\) −13830.6 + 1504.17i −1.48332 + 0.161321i −0.813658 0.581343i \(-0.802527\pi\)
−0.669664 + 0.742664i \(0.733562\pi\)
\(444\) 5199.81 7669.15i 0.555793 0.819734i
\(445\) 4597.26 + 2766.08i 0.489733 + 0.294663i
\(446\) −12.5544 + 45.2169i −0.00133289 + 0.00480063i
\(447\) 647.425 + 2331.81i 0.0685059 + 0.246736i
\(448\) 15378.8 9253.09i 1.62183 0.975820i
\(449\) 37.4214 690.197i 0.00393324 0.0725443i −0.995908 0.0903753i \(-0.971193\pi\)
0.999841 + 0.0178310i \(0.00567609\pi\)
\(450\) −103.323 + 34.8137i −0.0108238 + 0.00364696i
\(451\) −569.699 1074.57i −0.0594813 0.112194i
\(452\) 107.171 + 126.172i 0.0111525 + 0.0131297i
\(453\) 647.495 + 954.983i 0.0671566 + 0.0990486i
\(454\) −18.5485 342.107i −0.00191745 0.0353653i
\(455\) −1909.33 4792.07i −0.196727 0.493748i
\(456\) −221.743 102.589i −0.0227721 0.0105355i
\(457\) −10903.7 + 2400.08i −1.11609 + 0.245670i −0.734464 0.678648i \(-0.762566\pi\)
−0.381625 + 0.924317i \(0.624635\pi\)
\(458\) 22.9531 43.2942i 0.00234177 0.00441704i
\(459\) 518.202 3160.89i 0.0526963 0.321433i
\(460\) −1660.89 + 1262.58i −0.168347 + 0.127974i
\(461\) 16860.5 7800.49i 1.70341 0.788081i 0.706656 0.707557i \(-0.250203\pi\)
0.996753 0.0805234i \(-0.0256592\pi\)
\(462\) −535.803 507.539i −0.0539563 0.0511101i
\(463\) 1191.31 + 7266.69i 0.119579 + 0.729399i 0.976752 + 0.214371i \(0.0687702\pi\)
−0.857173 + 0.515028i \(0.827782\pi\)
\(464\) 8308.98 + 2799.62i 0.831325 + 0.280106i
\(465\) −492.405 + 1235.84i −0.0491070 + 0.123249i
\(466\) −524.612 + 496.939i −0.0521506 + 0.0493996i
\(467\) 12504.5 + 9505.71i 1.23906 + 0.941909i 0.999580 0.0289917i \(-0.00922963\pi\)
0.239481 + 0.970901i \(0.423023\pi\)
\(468\) 2269.72 + 499.603i 0.224183 + 0.0493465i
\(469\) 9050.20 10654.7i 0.891044 1.04902i
\(470\) 193.605 + 21.0558i 0.0190007 + 0.00206645i
\(471\) −10771.0 −1.05371
\(472\) −796.547 261.255i −0.0776780 0.0254772i
\(473\) 7898.22 0.767782
\(474\) 282.121 + 30.6825i 0.0273380 + 0.00297319i
\(475\) −2984.23 + 3513.31i −0.288265 + 0.339372i
\(476\) −32765.2 7212.18i −3.15503 0.694474i
\(477\) −1877.93 1427.56i −0.180261 0.137031i
\(478\) −297.063 + 281.393i −0.0284254 + 0.0269260i
\(479\) −1170.86 + 2938.63i −0.111686 + 0.280312i −0.974186 0.225746i \(-0.927518\pi\)
0.862500 + 0.506057i \(0.168898\pi\)
\(480\) 283.937 + 95.6696i 0.0269998 + 0.00909729i
\(481\) −2022.87 12338.9i −0.191756 1.16966i
\(482\) 248.553 + 235.442i 0.0234882 + 0.0222492i
\(483\) 5589.61 2586.03i 0.526576 0.243620i
\(484\) −14459.8 + 10992.1i −1.35798 + 1.03231i
\(485\) −985.432 + 6010.87i −0.0922601 + 0.562762i
\(486\) 13.1702 24.8417i 0.00122925 0.00231861i
\(487\) −934.095 + 205.610i −0.0869155 + 0.0191316i −0.258215 0.966087i \(-0.583134\pi\)
0.171300 + 0.985219i \(0.445203\pi\)
\(488\) 264.483 + 122.363i 0.0245339 + 0.0113506i
\(489\) −764.804 1919.51i −0.0707273 0.177512i
\(490\) 25.7080 + 474.156i 0.00237014 + 0.0437147i
\(491\) −2716.46 4006.49i −0.249679 0.368249i 0.682110 0.731250i \(-0.261063\pi\)
−0.931789 + 0.363001i \(0.881752\pi\)
\(492\) −314.196 369.900i −0.0287908 0.0338951i
\(493\) −7651.26 14431.8i −0.698977 1.31841i
\(494\) −156.092 + 52.5934i −0.0142164 + 0.00479006i
\(495\) −131.818 + 2431.25i −0.0119693 + 0.220761i
\(496\) −5370.12 + 3231.10i −0.486140 + 0.292501i
\(497\) 7330.29 + 26401.3i 0.661586 + 2.38282i
\(498\) 10.7143 38.5893i 0.000964093 0.00347235i
\(499\) −4025.28 2421.93i −0.361115 0.217276i 0.323420 0.946255i \(-0.395167\pi\)
−0.684535 + 0.728980i \(0.739995\pi\)
\(500\) 4638.60 6841.42i 0.414889 0.611915i
\(501\) 7009.33 762.311i 0.625057 0.0679791i
\(502\) 642.744 69.9027i 0.0571456 0.00621496i
\(503\) −7576.96 + 11175.2i −0.671650 + 0.990609i 0.327306 + 0.944918i \(0.393859\pi\)
−0.998956 + 0.0456907i \(0.985451\pi\)
\(504\) −505.115 303.917i −0.0446421 0.0268602i
\(505\) −774.260 + 2788.63i −0.0682259 + 0.245728i
\(506\) 107.760 + 388.117i 0.00946743 + 0.0340986i
\(507\) −2960.27 + 1781.14i −0.259310 + 0.156022i
\(508\) 387.874 7153.91i 0.0338762 0.624810i
\(509\) −19422.0 + 6544.04i −1.69129 + 0.569862i −0.989755 0.142774i \(-0.954398\pi\)
−0.701534 + 0.712636i \(0.747501\pi\)
\(510\) −86.9104 163.930i −0.00754599 0.0142332i
\(511\) 9145.24 + 10766.6i 0.791706 + 0.932068i
\(512\) 1320.96 + 1948.27i 0.114021 + 0.168168i
\(513\) −64.3575 1187.00i −0.00553890 0.102159i
\(514\) −164.793 413.599i −0.0141415 0.0354924i
\(515\) −4364.09 2019.04i −0.373407 0.172757i
\(516\) 3078.02 677.524i 0.262602 0.0578030i
\(517\) −10506.1 + 19816.6i −0.893727 + 1.68575i
\(518\) −256.336 + 1563.58i −0.0217428 + 0.132625i
\(519\) −4012.94 + 3050.56i −0.339400 + 0.258005i
\(520\) 244.568 113.149i 0.0206251 0.00954217i
\(521\) 6832.80 + 6472.38i 0.574569 + 0.544261i 0.918851 0.394606i \(-0.129119\pi\)
−0.344281 + 0.938867i \(0.611877\pi\)
\(522\) −23.1974 141.498i −0.00194506 0.0118643i
\(523\) −14337.5 4830.87i −1.19873 0.403899i −0.352039 0.935985i \(-0.614512\pi\)
−0.846690 + 0.532086i \(0.821408\pi\)
\(524\) −2939.03 + 7376.40i −0.245023 + 0.614961i
\(525\) −8074.54 + 7648.61i −0.671242 + 0.635834i
\(526\) 741.807 + 563.907i 0.0614911 + 0.0467443i
\(527\) 11402.8 + 2509.95i 0.942531 + 0.207467i
\(528\) −7425.87 + 8742.41i −0.612063 + 0.720576i
\(529\) 8754.02 + 952.057i 0.719488 + 0.0782491i
\(530\) −136.645 −0.0111990
\(531\) −692.293 4019.51i −0.0565780 0.328497i
\(532\) −12451.1 −1.01471
\(533\) −651.090 70.8104i −0.0529116 0.00575448i
\(534\) 267.597 315.040i 0.0216855 0.0255302i
\(535\) 4329.08 + 952.902i 0.349836 + 0.0770047i
\(536\) 581.378 + 441.952i 0.0468502 + 0.0356146i
\(537\) −2209.99 + 2093.41i −0.177594 + 0.168226i
\(538\) 18.5096 46.4555i 0.00148328 0.00372275i
\(539\) −51826.9 17462.5i −4.14163 1.39548i
\(540\) 157.186 + 958.792i 0.0125263 + 0.0764071i
\(541\) −1885.63 1786.17i −0.149852 0.141947i 0.609101 0.793092i \(-0.291530\pi\)
−0.758953 + 0.651145i \(0.774289\pi\)
\(542\) −409.952 + 189.664i −0.0324888 + 0.0150309i
\(543\) −2042.27 + 1552.49i −0.161404 + 0.122696i
\(544\) 425.432 2595.02i 0.0335299 0.204523i
\(545\) −2860.68 + 5395.81i −0.224840 + 0.424094i
\(546\) −388.124 + 85.4326i −0.0304216 + 0.00669630i
\(547\) 18709.1 + 8655.74i 1.46242 + 0.676586i 0.979935 0.199319i \(-0.0638731\pi\)
0.482483 + 0.875906i \(0.339735\pi\)
\(548\) −2446.43 6140.08i −0.190705 0.478633i
\(549\) 76.7621 + 1415.79i 0.00596744 + 0.110063i
\(550\) −408.207 602.061i −0.0316473 0.0466763i
\(551\) −3924.57 4620.37i −0.303435 0.357231i
\(552\) 150.703 + 284.257i 0.0116202 + 0.0219181i
\(553\) 27433.0 9243.25i 2.10953 0.710783i
\(554\) 17.5706 324.071i 0.00134748 0.0248528i
\(555\) 4479.02 2694.94i 0.342566 0.206115i
\(556\) 4777.47 + 17206.9i 0.364407 + 1.31247i
\(557\) 1485.37 5349.83i 0.112993 0.406965i −0.885322 0.464978i \(-0.846062\pi\)
0.998316 + 0.0580121i \(0.0184762\pi\)
\(558\) 87.8202 + 52.8397i 0.00666259 + 0.00400875i
\(559\) 2386.77 3520.23i 0.180590 0.266350i
\(560\) 10099.9 1098.43i 0.762144 0.0828881i
\(561\) 21244.2 2310.45i 1.59881 0.173881i
\(562\) −282.073 + 416.026i −0.0211718 + 0.0312260i
\(563\) 13716.5 + 8252.97i 1.02679 + 0.617800i 0.926163 0.377124i \(-0.123087\pi\)
0.100628 + 0.994924i \(0.467915\pi\)
\(564\) −2394.43 + 8623.97i −0.178766 + 0.643856i
\(565\) 24.9850 + 89.9879i 0.00186040 + 0.00670056i
\(566\) −239.102 + 143.863i −0.0177565 + 0.0106837i
\(567\) 155.280 2863.96i 0.0115011 0.212125i
\(568\) −1356.44 + 457.038i −0.100202 + 0.0337621i
\(569\) 6062.60 + 11435.3i 0.446674 + 0.842516i 0.999955 + 0.00952111i \(0.00303071\pi\)
−0.553281 + 0.832995i \(0.686624\pi\)
\(570\) −44.5791 52.4825i −0.00327581 0.00385658i
\(571\) −8126.17 11985.2i −0.595569 0.878398i 0.403766 0.914862i \(-0.367701\pi\)
−0.999335 + 0.0364641i \(0.988391\pi\)
\(572\) 839.422 + 15482.2i 0.0613601 + 1.13172i
\(573\) 5586.71 + 14021.6i 0.407309 + 1.02227i
\(574\) 75.3215 + 34.8474i 0.00547711 + 0.00253398i
\(575\) 5928.25 1304.91i 0.429957 0.0946407i
\(576\) −2136.78 + 4030.40i −0.154571 + 0.291551i
\(577\) −881.826 + 5378.90i −0.0636238 + 0.388088i 0.935749 + 0.352667i \(0.114725\pi\)
−0.999373 + 0.0354204i \(0.988723\pi\)
\(578\) −843.838 + 641.469i −0.0607250 + 0.0461619i
\(579\) −997.240 + 461.372i −0.0715784 + 0.0331157i
\(580\) 3597.13 + 3407.39i 0.257522 + 0.243938i
\(581\) −660.935 4031.52i −0.0471948 0.287876i
\(582\) 444.706 + 149.839i 0.0316729 + 0.0106719i
\(583\) 5825.09 14619.9i 0.413809 1.03858i
\(584\) −535.754 + 507.493i −0.0379617 + 0.0359593i
\(585\) 1043.77 + 793.453i 0.0737685 + 0.0560773i
\(586\) 965.429 + 212.507i 0.0680572 + 0.0149805i
\(587\) 17569.5 20684.4i 1.23538 1.45441i 0.389509 0.921023i \(-0.372645\pi\)
0.845874 0.533383i \(-0.179079\pi\)
\(588\) −21695.5 2359.52i −1.52161 0.165485i
\(589\) 4333.18 0.303133
\(590\) −172.831 161.090i −0.0120599 0.0112407i
\(591\) −5510.25 −0.383522
\(592\) 24481.5 + 2662.53i 1.69964 + 0.184846i
\(593\) 6776.96 7978.45i 0.469303 0.552506i −0.475683 0.879617i \(-0.657799\pi\)
0.944986 + 0.327111i \(0.106075\pi\)
\(594\) 183.198 + 40.3248i 0.0126544 + 0.00278543i
\(595\) −15067.7 11454.1i −1.03818 0.789200i
\(596\) −4677.30 + 4430.57i −0.321459 + 0.304502i
\(597\) 4969.66 12472.9i 0.340694 0.855078i
\(598\) 205.547 + 69.2569i 0.0140559 + 0.00473599i
\(599\) 151.555 + 924.444i 0.0103378 + 0.0630580i 0.991492 0.130170i \(-0.0415524\pi\)
−0.981154 + 0.193228i \(0.938104\pi\)
\(600\) −421.811 399.560i −0.0287006 0.0271866i
\(601\) −6720.48 + 3109.23i −0.456130 + 0.211028i −0.634481 0.772939i \(-0.718786\pi\)
0.178351 + 0.983967i \(0.442924\pi\)
\(602\) −429.051 + 326.156i −0.0290479 + 0.0220816i
\(603\) −574.841 + 3506.38i −0.0388215 + 0.236800i
\(604\) −1438.78 + 2713.83i −0.0969257 + 0.182821i
\(605\) −10007.4 + 2202.79i −0.672491 + 0.148026i
\(606\) 202.361 + 93.6221i 0.0135649 + 0.00627581i
\(607\) 1879.98 + 4718.40i 0.125710 + 0.315509i 0.978339 0.207008i \(-0.0663725\pi\)
−0.852629 + 0.522517i \(0.824993\pi\)
\(608\) −52.8360 974.503i −0.00352431 0.0650022i
\(609\) −8208.27 12106.3i −0.546167 0.805536i
\(610\) 53.1715 + 62.5983i 0.00352926 + 0.00415497i
\(611\) 5657.37 + 10670.9i 0.374587 + 0.706547i
\(612\) 8080.90 2722.77i 0.533744 0.179839i
\(613\) 867.929 16008.0i 0.0571865 1.05474i −0.819315 0.573344i \(-0.805646\pi\)
0.876501 0.481399i \(-0.159871\pi\)
\(614\) 677.050 407.367i 0.0445008 0.0267753i
\(615\) −73.2490 263.819i −0.00480274 0.0172979i
\(616\) 1052.15 3789.49i 0.0688185 0.247862i
\(617\) 9356.47 + 5629.60i 0.610498 + 0.367324i 0.786979 0.616980i \(-0.211644\pi\)
−0.176481 + 0.984304i \(0.556472\pi\)
\(618\) −207.896 + 306.623i −0.0135320 + 0.0199583i
\(619\) −22002.5 + 2392.91i −1.42868 + 0.155378i −0.789534 0.613706i \(-0.789678\pi\)
−0.639147 + 0.769085i \(0.720712\pi\)
\(620\) −3520.85 + 382.915i −0.228065 + 0.0248036i
\(621\) −878.475 + 1295.65i −0.0567665 + 0.0837243i
\(622\) −559.364 336.558i −0.0360586 0.0216957i
\(623\) 11280.4 40628.2i 0.725423 2.61274i
\(624\) 1652.45 + 5951.57i 0.106011 + 0.381817i
\(625\) −7218.42 + 4343.18i −0.461979 + 0.277964i
\(626\) −34.2408 + 631.535i −0.00218616 + 0.0403214i
\(627\) 7515.60 2532.30i 0.478699 0.161292i
\(628\) −13431.4 25334.3i −0.853456 1.60979i
\(629\) −29700.6 34966.2i −1.88273 2.21653i
\(630\) −93.2374 137.515i −0.00589630 0.00869639i
\(631\) −53.7262 990.922i −0.00338955 0.0625166i 0.996349 0.0853707i \(-0.0272074\pi\)
−0.999739 + 0.0228541i \(0.992725\pi\)
\(632\) 559.741 + 1404.84i 0.0352299 + 0.0884204i
\(633\) −902.224 417.413i −0.0566512 0.0262096i
\(634\) −326.815 + 71.9375i −0.0204724 + 0.00450631i
\(635\) 1893.22 3570.99i 0.118315 0.223166i
\(636\) 1015.98 6197.22i 0.0633432 0.386377i
\(637\) −23444.6 + 17822.1i −1.45826 + 1.10854i
\(638\) 868.192 401.668i 0.0538747 0.0249251i
\(639\) −5056.01 4789.31i −0.313009 0.296498i
\(640\) 172.013 + 1049.23i 0.0106241 + 0.0648040i
\(641\) 27382.2 + 9226.12i 1.68725 + 0.568502i 0.989074 0.147420i \(-0.0470968\pi\)
0.698180 + 0.715922i \(0.253993\pi\)
\(642\) 126.404 317.250i 0.00777066 0.0195029i
\(643\) 21.7037 20.5588i 0.00133112 0.00126090i −0.687034 0.726626i \(-0.741087\pi\)
0.688365 + 0.725365i \(0.258329\pi\)
\(644\) 13052.8 + 9922.49i 0.798684 + 0.607144i
\(645\) 1736.47 + 382.225i 0.106005 + 0.0233335i
\(646\) −391.253 + 460.619i −0.0238292 + 0.0280539i
\(647\) −3695.99 401.963i −0.224581 0.0244247i −0.00486363 0.999988i \(-0.501548\pi\)
−0.219718 + 0.975563i \(0.570514\pi\)
\(648\) 149.832 0.00908326
\(649\) 24603.1 11624.4i 1.48807 0.703077i
\(650\) −391.694 −0.0236362
\(651\) 10393.7 + 1130.38i 0.625744 + 0.0680538i
\(652\) 3561.16 4192.52i 0.213904 0.251828i
\(653\) −6673.74 1469.00i −0.399944 0.0880343i 0.0104437 0.999945i \(-0.496676\pi\)
−0.410388 + 0.911911i \(0.634607\pi\)
\(654\) 374.572 + 284.742i 0.0223959 + 0.0170249i
\(655\) −3252.13 + 3080.59i −0.194002 + 0.183769i
\(656\) 477.433 1198.27i 0.0284156 0.0713178i
\(657\) −3402.55 1146.45i −0.202049 0.0680781i
\(658\) −247.606 1510.33i −0.0146698 0.0894816i
\(659\) 21661.6 + 20518.9i 1.28045 + 1.21290i 0.964487 + 0.264131i \(0.0850852\pi\)
0.315960 + 0.948772i \(0.397673\pi\)
\(660\) −5882.89 + 2721.72i −0.346956 + 0.160519i
\(661\) −13758.7 + 10459.1i −0.809607 + 0.615447i −0.925900 0.377768i \(-0.876692\pi\)
0.116293 + 0.993215i \(0.462899\pi\)
\(662\) 127.723 779.077i 0.00749864 0.0457397i
\(663\) 5390.04 10166.7i 0.315734 0.595538i
\(664\) 208.427 45.8783i 0.0121815 0.00268136i
\(665\) −6375.08 2949.43i −0.371752 0.171991i
\(666\) −149.062 374.116i −0.00867270 0.0217668i
\(667\) 432.186 + 7971.20i 0.0250889 + 0.462738i
\(668\) 10533.6 + 15536.0i 0.610118 + 0.899857i
\(669\) −787.677 927.325i −0.0455207 0.0535911i
\(670\) 96.4096 + 181.848i 0.00555914 + 0.0104857i
\(671\) −8964.20 + 3020.39i −0.515736 + 0.173772i
\(672\) 127.481 2351.25i 0.00731798 0.134972i
\(673\) 17526.1 10545.1i 1.00384 0.603989i 0.0840736 0.996460i \(-0.473207\pi\)
0.919765 + 0.392470i \(0.128379\pi\)
\(674\) 90.2178 + 324.935i 0.00515588 + 0.0185698i
\(675\) 756.270 2723.84i 0.0431242 0.155319i
\(676\) −7880.85 4741.75i −0.448387 0.269786i
\(677\) 7568.90 11163.3i 0.429685 0.633738i −0.549790 0.835303i \(-0.685292\pi\)
0.979475 + 0.201565i \(0.0646027\pi\)
\(678\) 7.15292 0.777927i 0.000405171 4.40651e-5i
\(679\) 47588.9 5175.60i 2.68968 0.292521i
\(680\) 554.868 818.369i 0.0312915 0.0461515i
\(681\) 7611.42 + 4579.64i 0.428297 + 0.257698i
\(682\) −182.928 + 658.847i −0.0102708 + 0.0369920i
\(683\) 3339.23 + 12026.8i 0.187075 + 0.673784i 0.996274 + 0.0862483i \(0.0274878\pi\)
−0.809199 + 0.587535i \(0.800098\pi\)
\(684\) 2711.69 1631.57i 0.151585 0.0912055i
\(685\) 201.871 3723.28i 0.0112600 0.207678i
\(686\) 2204.71 742.854i 0.122706 0.0413445i
\(687\) 595.114 + 1122.50i 0.0330495 + 0.0623380i
\(688\) 5422.77 + 6384.18i 0.300496 + 0.353771i
\(689\) −4755.77 7014.23i −0.262961 0.387839i
\(690\) 4.90918 + 90.5445i 0.000270854 + 0.00499561i
\(691\) 9353.47 + 23475.4i 0.514939 + 1.29240i 0.924870 + 0.380283i \(0.124173\pi\)
−0.409932 + 0.912116i \(0.634447\pi\)
\(692\) −12179.3 5634.75i −0.669058 0.309539i
\(693\) 18687.7 4113.47i 1.02437 0.225480i
\(694\) −433.151 + 817.009i −0.0236919 + 0.0446877i
\(695\) −1629.87 + 9941.78i −0.0889562 + 0.542609i
\(696\) 608.286 462.407i 0.0331279 0.0251832i
\(697\) −2180.93 + 1009.01i −0.118520 + 0.0548333i
\(698\) −546.882 518.034i −0.0296559 0.0280915i
\(699\) −3031.05 18488.6i −0.164012 1.00043i
\(700\) −28059.2 9454.23i −1.51505 0.510481i
\(701\) 117.349 294.525i 0.00632272 0.0158688i −0.925781 0.378059i \(-0.876592\pi\)
0.932104 + 0.362190i \(0.117971\pi\)
\(702\) 73.3334 69.4651i 0.00394272 0.00373474i
\(703\) −13554.6 10303.9i −0.727199 0.552802i
\(704\) −29722.6 6542.43i −1.59121 0.350252i
\(705\) −3268.82 + 3848.35i −0.174625 + 0.205585i
\(706\) 607.879 + 66.1108i 0.0324048 + 0.00352424i
\(707\) 22744.7 1.20990
\(708\) 8590.95 6640.65i 0.456028 0.352501i
\(709\) 6329.69 0.335284 0.167642 0.985848i \(-0.446385\pi\)
0.167642 + 0.985848i \(0.446385\pi\)
\(710\) −401.050 43.6168i −0.0211988 0.00230551i
\(711\) −4763.32 + 5607.82i −0.251250 + 0.295794i
\(712\) 2151.19 + 473.513i 0.113229 + 0.0249237i
\(713\) −4542.58 3453.18i −0.238599 0.181378i
\(714\) −1058.63 + 1002.79i −0.0554876 + 0.0525606i
\(715\) −3237.64 + 8125.88i −0.169344 + 0.425022i
\(716\) −7679.74 2587.60i −0.400845 0.135060i
\(717\) −1716.34 10469.2i −0.0893973 0.545299i
\(718\) 13.7600 + 13.0341i 0.000715206 + 0.000677479i
\(719\) 9088.10 4204.61i 0.471390 0.218088i −0.169788 0.985481i \(-0.554308\pi\)
0.641178 + 0.767393i \(0.278446\pi\)
\(720\) −2055.70 + 1562.70i −0.106405 + 0.0808866i
\(721\) −6113.69 + 37291.9i −0.315792 + 1.92624i
\(722\) 266.687 503.026i 0.0137466 0.0259289i
\(723\) −8669.01 + 1908.19i −0.445925 + 0.0981556i
\(724\) −6198.31 2867.64i −0.318174 0.147203i
\(725\) −5335.93 13392.2i −0.273340 0.686031i
\(726\) 42.7396 + 788.285i 0.00218487 + 0.0402975i
\(727\) −3288.46 4850.11i −0.167761 0.247429i 0.734511 0.678597i \(-0.237412\pi\)
−0.902271 + 0.431168i \(0.858101\pi\)
\(728\) −1371.02 1614.09i −0.0697986 0.0821732i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −197.098 + 66.4100i −0.00999304 + 0.00336705i
\(731\) 844.845 15582.3i 0.0427466 0.788414i
\(732\) −3234.35 + 1946.04i −0.163313 + 0.0982621i
\(733\) 3833.43 + 13806.8i 0.193166 + 0.695722i 0.995149 + 0.0983752i \(0.0313645\pi\)
−0.801983 + 0.597347i \(0.796222\pi\)
\(734\) 11.0662 39.8568i 0.000556486 0.00200428i
\(735\) −10549.3 6347.33i −0.529413 0.318537i
\(736\) −721.207 + 1063.70i −0.0361196 + 0.0532725i
\(737\) −23566.2 + 2562.98i −1.17784 + 0.128098i
\(738\) −20.9704 + 2.28066i −0.00104597 + 0.000113757i
\(739\) −10723.4 + 15815.9i −0.533787 + 0.787276i −0.994985 0.100020i \(-0.968109\pi\)
0.461199 + 0.887297i \(0.347420\pi\)
\(740\) 11924.1 + 7174.48i 0.592348 + 0.356404i
\(741\) 1142.50 4114.93i 0.0566410 0.204002i
\(742\) 287.293 + 1034.73i 0.0142141 + 0.0511945i
\(743\) 30151.0 18141.3i 1.48874 0.895745i 0.489016 0.872275i \(-0.337356\pi\)
0.999725 0.0234706i \(-0.00747162\pi\)
\(744\) −29.5686 + 545.361i −0.00145704 + 0.0268735i
\(745\) −3444.33 + 1160.53i −0.169383 + 0.0570719i
\(746\) −706.152 1331.94i −0.0346569 0.0653699i
\(747\) 672.225 + 791.405i 0.0329256 + 0.0387630i
\(748\) 31925.9 + 47087.1i 1.56060 + 2.30171i
\(749\) −1886.00 34785.2i −0.0920065 1.69696i
\(750\) −132.973 333.738i −0.00647400 0.0162485i
\(751\) −28945.7 13391.7i −1.40645 0.650692i −0.437787 0.899079i \(-0.644238\pi\)
−0.968661 + 0.248387i \(0.920100\pi\)
\(752\) −23231.1 + 5113.56i −1.12653 + 0.247968i
\(753\) −7851.90 + 14810.2i −0.379999 + 0.716754i
\(754\) 83.3369 508.332i 0.00402513 0.0245522i
\(755\) −1379.52 + 1048.68i −0.0664979 + 0.0505504i
\(756\) 6929.93 3206.13i 0.333385 0.154240i
\(757\) 14275.8 + 13522.8i 0.685420 + 0.649264i 0.948964 0.315383i \(-0.102133\pi\)
−0.263545 + 0.964647i \(0.584892\pi\)
\(758\) −172.624 1052.96i −0.00827176 0.0504555i
\(759\) −9896.82 3334.63i −0.473296 0.159472i
\(760\) 135.821 340.885i 0.00648255 0.0162700i
\(761\) 25655.7 24302.4i 1.22210 1.15764i 0.239703 0.970846i \(-0.422950\pi\)
0.982400 0.186791i \(-0.0598086\pi\)
\(762\) −247.894 188.444i −0.0117851 0.00895881i
\(763\) 46874.0 + 10317.8i 2.22406 + 0.489552i
\(764\) −26013.4 + 30625.3i −1.23185 + 1.45024i
\(765\) 4782.46 + 520.124i 0.226027 + 0.0245819i
\(766\) −1097.46 −0.0517659
\(767\) 2253.88 14478.4i 0.106105 0.681595i
\(768\) −12082.9 −0.567712
\(769\) −12256.3 1332.95i −0.574736 0.0625064i −0.183865 0.982952i \(-0.558861\pi\)
−0.390872 + 0.920445i \(0.627826\pi\)
\(770\) 717.580 844.801i 0.0335842 0.0395383i