Properties

Label 230.4.g.b.41.6
Level $230$
Weight $4$
Character 230.41
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 41.6
Character \(\chi\) \(=\) 230.41
Dual form 230.4.g.b.101.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.91899 + 0.563465i) q^{2} +(6.53866 - 7.54601i) q^{3} +(3.36501 + 2.16256i) q^{4} +(-0.711574 + 4.94911i) q^{5} +(16.7995 - 10.7964i) q^{6} +(14.9302 + 32.6926i) q^{7} +(5.23889 + 6.04600i) q^{8} +(-10.3458 - 71.9564i) q^{9} +O(q^{10})\) \(q+(1.91899 + 0.563465i) q^{2} +(6.53866 - 7.54601i) q^{3} +(3.36501 + 2.16256i) q^{4} +(-0.711574 + 4.94911i) q^{5} +(16.7995 - 10.7964i) q^{6} +(14.9302 + 32.6926i) q^{7} +(5.23889 + 6.04600i) q^{8} +(-10.3458 - 71.9564i) q^{9} +(-4.15415 + 9.09632i) q^{10} +(46.9001 - 13.7711i) q^{11} +(38.3214 - 11.2522i) q^{12} +(6.38830 - 13.9884i) q^{13} +(10.2297 + 71.1493i) q^{14} +(32.6933 + 37.7301i) q^{15} +(6.64664 + 14.5541i) q^{16} +(-68.0814 + 43.7533i) q^{17} +(20.6916 - 143.913i) q^{18} +(-34.4385 - 22.1323i) q^{19} +(-13.0972 + 15.1150i) q^{20} +(344.323 + 101.102i) q^{21} +97.7601 q^{22} +(-91.8947 + 61.0111i) q^{23} +79.8785 q^{24} +(-23.9873 - 7.04331i) q^{25} +(20.1410 - 23.2440i) q^{26} +(-383.839 - 246.678i) q^{27} +(-20.4595 + 142.299i) q^{28} +(129.611 - 83.2958i) q^{29} +(41.4784 + 90.8250i) q^{30} +(-119.954 - 138.434i) q^{31} +(4.55407 + 31.6743i) q^{32} +(202.747 - 443.953i) q^{33} +(-155.301 + 45.6004i) q^{34} +(-172.423 + 50.6280i) q^{35} +(120.797 - 264.508i) q^{36} +(-4.51784 - 31.4223i) q^{37} +(-53.6162 - 61.8764i) q^{38} +(-63.7859 - 139.672i) q^{39} +(-33.6501 + 21.6256i) q^{40} +(54.5599 - 379.472i) q^{41} +(603.782 + 388.027i) q^{42} +(-25.7030 + 29.6629i) q^{43} +(187.600 + 55.0844i) q^{44} +363.482 q^{45} +(-210.722 + 65.3001i) q^{46} -145.863 q^{47} +(153.286 + 45.0087i) q^{48} +(-621.278 + 716.993i) q^{49} +(-42.0627 - 27.0320i) q^{50} +(-114.998 + 799.831i) q^{51} +(51.7475 - 33.2561i) q^{52} +(113.299 + 248.089i) q^{53} +(-597.586 - 689.651i) q^{54} +(34.7818 + 241.913i) q^{55} +(-119.442 + 261.541i) q^{56} +(-392.192 + 115.158i) q^{57} +(295.656 - 86.8123i) q^{58} +(-103.940 + 227.598i) q^{59} +(28.4197 + 197.664i) q^{60} +(-189.223 - 218.376i) q^{61} +(-152.187 - 333.243i) q^{62} +(2197.98 - 1412.56i) q^{63} +(-9.10815 + 63.3486i) q^{64} +(64.6844 + 41.5702i) q^{65} +(639.220 - 737.699i) q^{66} +(-375.781 - 110.339i) q^{67} -323.714 q^{68} +(-140.477 + 1092.37i) q^{69} -359.405 q^{70} +(309.894 + 90.9930i) q^{71} +(380.848 - 439.522i) q^{72} +(225.675 + 145.033i) q^{73} +(9.03568 - 62.8445i) q^{74} +(-209.994 + 134.955i) q^{75} +(-68.0235 - 148.951i) q^{76} +(1150.44 + 1327.68i) q^{77} +(-43.7042 - 303.969i) q^{78} +(-223.743 + 489.929i) q^{79} +(-76.7594 + 22.5386i) q^{80} +(-2487.93 + 730.522i) q^{81} +(318.519 - 697.459i) q^{82} +(78.5459 + 546.299i) q^{83} +(940.010 + 1084.83i) q^{84} +(-168.095 - 368.076i) q^{85} +(-66.0377 + 42.4398i) q^{86} +(218.929 - 1522.69i) q^{87} +(328.964 + 211.412i) q^{88} +(384.756 - 444.033i) q^{89} +(697.517 + 204.809i) q^{90} +552.696 q^{91} +(-441.168 + 6.57521i) q^{92} -1828.96 q^{93} +(-279.909 - 82.1886i) q^{94} +(134.040 - 154.691i) q^{95} +(268.792 + 172.742i) q^{96} +(-53.6385 + 373.064i) q^{97} +(-1596.23 + 1025.83i) q^{98} +(-1476.14 - 3232.29i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.91899 + 0.563465i 0.678464 + 0.199215i
\(3\) 6.53866 7.54601i 1.25837 1.45223i 0.419627 0.907697i \(-0.362161\pi\)
0.838738 0.544535i \(-0.183294\pi\)
\(4\) 3.36501 + 2.16256i 0.420627 + 0.270320i
\(5\) −0.711574 + 4.94911i −0.0636451 + 0.442662i
\(6\) 16.7995 10.7964i 1.14306 0.734601i
\(7\) 14.9302 + 32.6926i 0.806156 + 1.76524i 0.623116 + 0.782130i \(0.285867\pi\)
0.183040 + 0.983105i \(0.441406\pi\)
\(8\) 5.23889 + 6.04600i 0.231528 + 0.267198i
\(9\) −10.3458 71.9564i −0.383177 2.66505i
\(10\) −4.15415 + 9.09632i −0.131366 + 0.287651i
\(11\) 46.9001 13.7711i 1.28554 0.377468i 0.433597 0.901107i \(-0.357244\pi\)
0.851940 + 0.523639i \(0.175426\pi\)
\(12\) 38.3214 11.2522i 0.921870 0.270685i
\(13\) 6.38830 13.9884i 0.136292 0.298438i −0.829163 0.559006i \(-0.811183\pi\)
0.965455 + 0.260569i \(0.0839100\pi\)
\(14\) 10.2297 + 71.1493i 0.195286 + 1.35825i
\(15\) 32.6933 + 37.7301i 0.562758 + 0.649458i
\(16\) 6.64664 + 14.5541i 0.103854 + 0.227408i
\(17\) −68.0814 + 43.7533i −0.971304 + 0.624219i −0.927104 0.374804i \(-0.877710\pi\)
−0.0441996 + 0.999023i \(0.514074\pi\)
\(18\) 20.6916 143.913i 0.270947 1.88448i
\(19\) −34.4385 22.1323i −0.415828 0.267236i 0.315955 0.948774i \(-0.397675\pi\)
−0.731783 + 0.681538i \(0.761311\pi\)
\(20\) −13.0972 + 15.1150i −0.146431 + 0.168991i
\(21\) 344.323 + 101.102i 3.57797 + 1.05059i
\(22\) 97.7601 0.947388
\(23\) −91.8947 + 61.0111i −0.833103 + 0.553118i
\(24\) 79.8785 0.679380
\(25\) −23.9873 7.04331i −0.191899 0.0563465i
\(26\) 20.1410 23.2440i 0.151922 0.175328i
\(27\) −383.839 246.678i −2.73592 1.75827i
\(28\) −20.4595 + 142.299i −0.138088 + 0.960426i
\(29\) 129.611 83.2958i 0.829935 0.533367i −0.0553222 0.998469i \(-0.517619\pi\)
0.885257 + 0.465102i \(0.153982\pi\)
\(30\) 41.4784 + 90.8250i 0.252429 + 0.552743i
\(31\) −119.954 138.434i −0.694978 0.802048i 0.293086 0.956086i \(-0.405318\pi\)
−0.988065 + 0.154038i \(0.950772\pi\)
\(32\) 4.55407 + 31.6743i 0.0251579 + 0.174977i
\(33\) 202.747 443.953i 1.06950 2.34189i
\(34\) −155.301 + 45.6004i −0.783348 + 0.230012i
\(35\) −172.423 + 50.6280i −0.832710 + 0.244506i
\(36\) 120.797 264.508i 0.559244 1.22457i
\(37\) −4.51784 31.4223i −0.0200737 0.139616i 0.977320 0.211768i \(-0.0679222\pi\)
−0.997394 + 0.0721525i \(0.977013\pi\)
\(38\) −53.6162 61.8764i −0.228887 0.264149i
\(39\) −63.7859 139.672i −0.261895 0.573471i
\(40\) −33.6501 + 21.6256i −0.133014 + 0.0854828i
\(41\) 54.5599 379.472i 0.207825 1.44545i −0.572410 0.819967i \(-0.693992\pi\)
0.780235 0.625486i \(-0.215099\pi\)
\(42\) 603.782 + 388.027i 2.21823 + 1.42557i
\(43\) −25.7030 + 29.6629i −0.0911552 + 0.105199i −0.799495 0.600673i \(-0.794899\pi\)
0.708339 + 0.705872i \(0.249445\pi\)
\(44\) 187.600 + 55.0844i 0.642768 + 0.188734i
\(45\) 363.482 1.20410
\(46\) −210.722 + 65.3001i −0.675420 + 0.209304i
\(47\) −145.863 −0.452687 −0.226343 0.974048i \(-0.572677\pi\)
−0.226343 + 0.974048i \(0.572677\pi\)
\(48\) 153.286 + 45.0087i 0.460935 + 0.135343i
\(49\) −621.278 + 716.993i −1.81131 + 2.09036i
\(50\) −42.0627 27.0320i −0.118971 0.0764582i
\(51\) −114.998 + 799.831i −0.315745 + 2.19605i
\(52\) 51.7475 33.2561i 0.138002 0.0886884i
\(53\) 113.299 + 248.089i 0.293637 + 0.642975i 0.997745 0.0671175i \(-0.0213802\pi\)
−0.704108 + 0.710093i \(0.748653\pi\)
\(54\) −597.586 689.651i −1.50595 1.73796i
\(55\) 34.7818 + 241.913i 0.0852723 + 0.593082i
\(56\) −119.442 + 261.541i −0.285019 + 0.624105i
\(57\) −392.192 + 115.158i −0.911352 + 0.267597i
\(58\) 295.656 86.8123i 0.669336 0.196535i
\(59\) −103.940 + 227.598i −0.229354 + 0.502216i −0.988963 0.148165i \(-0.952663\pi\)
0.759608 + 0.650381i \(0.225391\pi\)
\(60\) 28.4197 + 197.664i 0.0611495 + 0.425304i
\(61\) −189.223 218.376i −0.397173 0.458363i 0.521575 0.853205i \(-0.325345\pi\)
−0.918749 + 0.394843i \(0.870799\pi\)
\(62\) −152.187 333.243i −0.311738 0.682611i
\(63\) 2197.98 1412.56i 4.39555 2.82485i
\(64\) −9.10815 + 63.3486i −0.0177894 + 0.123728i
\(65\) 64.6844 + 41.5702i 0.123433 + 0.0793253i
\(66\) 639.220 737.699i 1.19216 1.37583i
\(67\) −375.781 110.339i −0.685208 0.201195i −0.0794435 0.996839i \(-0.525314\pi\)
−0.605764 + 0.795644i \(0.707133\pi\)
\(68\) −323.714 −0.577296
\(69\) −140.477 + 1092.37i −0.245094 + 1.90588i
\(70\) −359.405 −0.613673
\(71\) 309.894 + 90.9930i 0.517995 + 0.152097i 0.530272 0.847828i \(-0.322090\pi\)
−0.0122772 + 0.999925i \(0.503908\pi\)
\(72\) 380.848 439.522i 0.623380 0.719419i
\(73\) 225.675 + 145.033i 0.361826 + 0.232531i 0.708904 0.705305i \(-0.249190\pi\)
−0.347078 + 0.937836i \(0.612826\pi\)
\(74\) 9.03568 62.8445i 0.0141943 0.0987233i
\(75\) −209.994 + 134.955i −0.323307 + 0.207777i
\(76\) −68.0235 148.951i −0.102669 0.224813i
\(77\) 1150.44 + 1327.68i 1.70266 + 1.96498i
\(78\) −43.7042 303.969i −0.0634426 0.441253i
\(79\) −223.743 + 489.929i −0.318647 + 0.697739i −0.999395 0.0347785i \(-0.988927\pi\)
0.680748 + 0.732517i \(0.261655\pi\)
\(80\) −76.7594 + 22.5386i −0.107275 + 0.0314987i
\(81\) −2487.93 + 730.522i −3.41280 + 1.00209i
\(82\) 318.519 697.459i 0.428958 0.939286i
\(83\) 78.5459 + 546.299i 0.103874 + 0.722459i 0.973490 + 0.228730i \(0.0734574\pi\)
−0.869616 + 0.493729i \(0.835634\pi\)
\(84\) 940.010 + 1084.83i 1.22099 + 1.40910i
\(85\) −168.095 368.076i −0.214499 0.469687i
\(86\) −66.0377 + 42.4398i −0.0828026 + 0.0532140i
\(87\) 218.929 1522.69i 0.269790 1.87643i
\(88\) 328.964 + 211.412i 0.398497 + 0.256098i
\(89\) 384.756 444.033i 0.458248 0.528847i −0.478857 0.877893i \(-0.658949\pi\)
0.937106 + 0.349046i \(0.113494\pi\)
\(90\) 697.517 + 204.809i 0.816941 + 0.239876i
\(91\) 552.696 0.636685
\(92\) −441.168 + 6.57521i −0.499944 + 0.00745123i
\(93\) −1828.96 −2.03930
\(94\) −279.909 82.1886i −0.307132 0.0901820i
\(95\) 134.040 154.691i 0.144761 0.167063i
\(96\) 268.792 + 172.742i 0.285765 + 0.183650i
\(97\) −53.6385 + 373.064i −0.0561460 + 0.390504i 0.942300 + 0.334771i \(0.108659\pi\)
−0.998446 + 0.0557335i \(0.982250\pi\)
\(98\) −1596.23 + 1025.83i −1.64534 + 1.05739i
\(99\) −1476.14 3232.29i −1.49856 3.28139i
\(100\) −65.4861 75.5750i −0.0654861 0.0755750i
\(101\) 120.930 + 841.085i 0.119138 + 0.828625i 0.958508 + 0.285065i \(0.0920150\pi\)
−0.839370 + 0.543560i \(0.817076\pi\)
\(102\) −671.357 + 1470.07i −0.651708 + 1.42704i
\(103\) −727.988 + 213.757i −0.696416 + 0.204486i −0.610733 0.791836i \(-0.709125\pi\)
−0.0856824 + 0.996323i \(0.527307\pi\)
\(104\) 118.041 34.6601i 0.111297 0.0326798i
\(105\) −745.377 + 1632.15i −0.692774 + 1.51696i
\(106\) 77.6287 + 539.920i 0.0711318 + 0.494733i
\(107\) 855.085 + 986.821i 0.772563 + 0.891585i 0.996549 0.0830073i \(-0.0264525\pi\)
−0.223986 + 0.974592i \(0.571907\pi\)
\(108\) −758.165 1660.15i −0.675504 1.47915i
\(109\) 1386.03 890.747i 1.21796 0.782735i 0.235986 0.971756i \(-0.424168\pi\)
0.981973 + 0.189022i \(0.0605316\pi\)
\(110\) −69.5636 + 483.825i −0.0602966 + 0.419372i
\(111\) −266.653 171.368i −0.228015 0.146536i
\(112\) −376.576 + 434.592i −0.317706 + 0.366653i
\(113\) −966.112 283.676i −0.804285 0.236159i −0.146349 0.989233i \(-0.546752\pi\)
−0.657936 + 0.753074i \(0.728570\pi\)
\(114\) −817.498 −0.671629
\(115\) −236.561 498.211i −0.191821 0.403986i
\(116\) 616.274 0.493273
\(117\) −1072.65 314.958i −0.847576 0.248871i
\(118\) −327.704 + 378.190i −0.255657 + 0.295044i
\(119\) −2446.88 1572.51i −1.88492 1.21136i
\(120\) −56.8395 + 395.327i −0.0432392 + 0.300736i
\(121\) 890.266 572.139i 0.668870 0.429857i
\(122\) −240.070 525.680i −0.178155 0.390105i
\(123\) −2506.75 2892.95i −1.83761 2.12072i
\(124\) −104.274 725.240i −0.0755166 0.525230i
\(125\) 51.9269 113.704i 0.0371558 0.0813600i
\(126\) 5013.82 1472.19i 3.54497 1.04090i
\(127\) 925.854 271.855i 0.646900 0.189947i 0.0582081 0.998304i \(-0.481461\pi\)
0.588692 + 0.808358i \(0.299643\pi\)
\(128\) −53.1731 + 116.433i −0.0367178 + 0.0804009i
\(129\) 55.7731 + 387.911i 0.0380663 + 0.264757i
\(130\) 100.705 + 116.220i 0.0679417 + 0.0784090i
\(131\) 752.070 + 1646.80i 0.501593 + 1.09833i 0.975948 + 0.218001i \(0.0699537\pi\)
−0.474356 + 0.880333i \(0.657319\pi\)
\(132\) 1642.32 1055.46i 1.08292 0.695952i
\(133\) 209.388 1456.32i 0.136513 0.949468i
\(134\) −658.946 423.479i −0.424808 0.273007i
\(135\) 1493.97 1724.13i 0.952445 1.09918i
\(136\) −621.203 182.402i −0.391674 0.115006i
\(137\) −2799.50 −1.74582 −0.872910 0.487882i \(-0.837770\pi\)
−0.872910 + 0.487882i \(0.837770\pi\)
\(138\) −885.086 + 2017.09i −0.545968 + 1.24425i
\(139\) −740.493 −0.451855 −0.225927 0.974144i \(-0.572541\pi\)
−0.225927 + 0.974144i \(0.572541\pi\)
\(140\) −689.693 202.512i −0.416355 0.122253i
\(141\) −953.747 + 1100.68i −0.569645 + 0.657406i
\(142\) 543.410 + 349.229i 0.321141 + 0.206385i
\(143\) 106.976 744.032i 0.0625577 0.435098i
\(144\) 978.498 628.842i 0.566260 0.363913i
\(145\) 320.012 + 700.729i 0.183280 + 0.401327i
\(146\) 351.347 + 405.476i 0.199162 + 0.229845i
\(147\) 1348.12 + 9376.35i 0.756399 + 5.26087i
\(148\) 52.7500 115.506i 0.0292975 0.0641525i
\(149\) 521.877 153.237i 0.286939 0.0842528i −0.135096 0.990833i \(-0.543134\pi\)
0.422035 + 0.906580i \(0.361316\pi\)
\(150\) −479.018 + 140.652i −0.260744 + 0.0765614i
\(151\) −52.8612 + 115.750i −0.0284886 + 0.0623814i −0.923341 0.383980i \(-0.874553\pi\)
0.894853 + 0.446361i \(0.147280\pi\)
\(152\) −46.6076 324.163i −0.0248709 0.172981i
\(153\) 3852.68 + 4446.23i 2.03576 + 2.34939i
\(154\) 1459.58 + 3196.03i 0.763742 + 1.67236i
\(155\) 770.481 495.158i 0.399268 0.256594i
\(156\) 87.4083 607.938i 0.0448607 0.312013i
\(157\) −2136.75 1373.21i −1.08619 0.698050i −0.130209 0.991487i \(-0.541565\pi\)
−0.955979 + 0.293437i \(0.905201\pi\)
\(158\) −705.418 + 814.096i −0.355190 + 0.409911i
\(159\) 2612.91 + 767.219i 1.30325 + 0.382669i
\(160\) −160.000 −0.0790569
\(161\) −3366.62 2093.37i −1.64799 1.02472i
\(162\) −5185.93 −2.51509
\(163\) 2509.65 + 736.899i 1.20596 + 0.354101i 0.822127 0.569304i \(-0.192787\pi\)
0.383829 + 0.923404i \(0.374605\pi\)
\(164\) 1004.23 1158.94i 0.478152 0.551817i
\(165\) 2052.90 + 1319.32i 0.968596 + 0.622479i
\(166\) −157.092 + 1092.60i −0.0734500 + 0.510856i
\(167\) 3218.84 2068.62i 1.49151 0.958533i 0.495561 0.868573i \(-0.334963\pi\)
0.995945 0.0899596i \(-0.0286738\pi\)
\(168\) 1192.60 + 2611.44i 0.547686 + 1.19927i
\(169\) 1283.86 + 1481.66i 0.584371 + 0.674400i
\(170\) −115.173 801.048i −0.0519611 0.361397i
\(171\) −1236.27 + 2707.05i −0.552863 + 1.21060i
\(172\) −150.639 + 44.2315i −0.0667796 + 0.0196083i
\(173\) −949.858 + 278.903i −0.417436 + 0.122570i −0.483704 0.875232i \(-0.660709\pi\)
0.0662683 + 0.997802i \(0.478891\pi\)
\(174\) 1278.10 2798.66i 0.556855 1.21934i
\(175\) −127.872 889.366i −0.0552353 0.384170i
\(176\) 512.154 + 591.057i 0.219347 + 0.253140i
\(177\) 1037.83 + 2272.52i 0.440722 + 0.965046i
\(178\) 988.539 635.295i 0.416259 0.267514i
\(179\) 635.539 4420.27i 0.265377 1.84574i −0.225168 0.974320i \(-0.572293\pi\)
0.490544 0.871416i \(-0.336798\pi\)
\(180\) 1223.12 + 786.053i 0.506478 + 0.325494i
\(181\) 2347.61 2709.29i 0.964070 1.11260i −0.0295212 0.999564i \(-0.509398\pi\)
0.993591 0.113032i \(-0.0360563\pi\)
\(182\) 1060.62 + 311.425i 0.431968 + 0.126837i
\(183\) −2885.13 −1.16544
\(184\) −850.299 235.965i −0.340679 0.0945410i
\(185\) 158.727 0.0630802
\(186\) −3509.75 1030.56i −1.38359 0.406258i
\(187\) −2590.49 + 2989.59i −1.01302 + 1.16909i
\(188\) −490.830 315.438i −0.190412 0.122370i
\(189\) 2333.76 16231.6i 0.898179 6.24697i
\(190\) 344.385 221.323i 0.131496 0.0845075i
\(191\) 1650.83 + 3614.82i 0.625394 + 1.36942i 0.911531 + 0.411232i \(0.134902\pi\)
−0.286137 + 0.958189i \(0.592371\pi\)
\(192\) 418.474 + 482.945i 0.157296 + 0.181529i
\(193\) −402.246 2797.68i −0.150022 1.04343i −0.916178 0.400772i \(-0.868742\pi\)
0.766155 0.642655i \(-0.222167\pi\)
\(194\) −313.140 + 685.681i −0.115887 + 0.253758i
\(195\) 736.638 216.297i 0.270522 0.0794324i
\(196\) −3641.15 + 1069.14i −1.32695 + 0.389628i
\(197\) 614.973 1346.60i 0.222411 0.487013i −0.765228 0.643760i \(-0.777374\pi\)
0.987639 + 0.156747i \(0.0501008\pi\)
\(198\) −1011.40 7034.47i −0.363017 2.52484i
\(199\) −2736.91 3158.56i −0.974947 1.12515i −0.992119 0.125296i \(-0.960012\pi\)
0.0171725 0.999853i \(-0.494534\pi\)
\(200\) −83.0830 181.926i −0.0293743 0.0643207i
\(201\) −3289.72 + 2114.18i −1.15442 + 0.741903i
\(202\) −241.860 + 1682.17i −0.0842435 + 0.585926i
\(203\) 4658.27 + 2993.69i 1.61057 + 1.03505i
\(204\) −2116.66 + 2442.75i −0.726449 + 0.838367i
\(205\) 1839.22 + 540.045i 0.626620 + 0.183992i
\(206\) −1517.44 −0.513230
\(207\) 5340.87 + 5981.21i 1.79331 + 2.00832i
\(208\) 246.050 0.0820215
\(209\) −1919.95 563.749i −0.635435 0.186581i
\(210\) −2350.03 + 2712.07i −0.772225 + 0.891195i
\(211\) −4327.97 2781.42i −1.41208 0.907491i −0.412090 0.911143i \(-0.635201\pi\)
−0.999993 + 0.00365271i \(0.998837\pi\)
\(212\) −155.257 + 1079.84i −0.0502978 + 0.349829i
\(213\) 2712.92 1743.49i 0.872707 0.560854i
\(214\) 1084.86 + 2375.51i 0.346539 + 0.758814i
\(215\) −128.515 148.314i −0.0407658 0.0470463i
\(216\) −519.472 3613.00i −0.163637 1.13812i
\(217\) 2734.83 5988.45i 0.855542 1.87338i
\(218\) 3161.68 928.352i 0.982274 0.288422i
\(219\) 2570.03 754.629i 0.792998 0.232845i
\(220\) −406.110 + 889.257i −0.124454 + 0.272517i
\(221\) 177.115 + 1231.86i 0.0539096 + 0.374950i
\(222\) −415.144 479.102i −0.125508 0.144843i
\(223\) 221.241 + 484.449i 0.0664366 + 0.145476i 0.939937 0.341347i \(-0.110883\pi\)
−0.873501 + 0.486823i \(0.838156\pi\)
\(224\) −967.522 + 621.789i −0.288595 + 0.185469i
\(225\) −258.644 + 1798.91i −0.0766354 + 0.533011i
\(226\) −1694.11 1088.74i −0.498632 0.320451i
\(227\) −1789.40 + 2065.08i −0.523201 + 0.603807i −0.954430 0.298436i \(-0.903535\pi\)
0.431228 + 0.902243i \(0.358080\pi\)
\(228\) −1568.77 460.631i −0.455676 0.133799i
\(229\) 2046.59 0.590578 0.295289 0.955408i \(-0.404584\pi\)
0.295289 + 0.955408i \(0.404584\pi\)
\(230\) −173.232 1089.35i −0.0496635 0.312304i
\(231\) 17541.0 4.99617
\(232\) 1182.62 + 347.249i 0.334668 + 0.0982673i
\(233\) −391.936 + 452.318i −0.110200 + 0.127177i −0.808170 0.588950i \(-0.799542\pi\)
0.697970 + 0.716127i \(0.254087\pi\)
\(234\) −1880.93 1208.80i −0.525471 0.337700i
\(235\) 103.792 721.891i 0.0288113 0.200387i
\(236\) −841.956 + 541.092i −0.232232 + 0.149246i
\(237\) 2234.03 + 4891.85i 0.612304 + 1.34076i
\(238\) −3809.47 4396.36i −1.03753 1.19737i
\(239\) 319.698 + 2223.55i 0.0865254 + 0.601797i 0.986240 + 0.165319i \(0.0528653\pi\)
−0.899715 + 0.436478i \(0.856226\pi\)
\(240\) −331.827 + 726.600i −0.0892473 + 0.195424i
\(241\) 719.048 211.132i 0.192191 0.0564323i −0.184221 0.982885i \(-0.558976\pi\)
0.376411 + 0.926453i \(0.377158\pi\)
\(242\) 2030.79 596.293i 0.539438 0.158393i
\(243\) −5637.58 + 12344.6i −1.48828 + 3.25887i
\(244\) −164.489 1144.04i −0.0431570 0.300164i
\(245\) −3106.39 3584.97i −0.810041 0.934837i
\(246\) −3180.35 6964.00i −0.824275 1.80491i
\(247\) −529.598 + 340.352i −0.136427 + 0.0876765i
\(248\) 208.548 1450.48i 0.0533983 0.371393i
\(249\) 4635.96 + 2979.35i 1.17989 + 0.758269i
\(250\) 163.715 188.937i 0.0414170 0.0477978i
\(251\) −1503.60 441.497i −0.378113 0.111024i 0.0871528 0.996195i \(-0.472223\pi\)
−0.465266 + 0.885171i \(0.654041\pi\)
\(252\) 10451.0 2.61250
\(253\) −3469.68 + 4126.92i −0.862201 + 1.02552i
\(254\) 1929.88 0.476739
\(255\) −3876.62 1138.28i −0.952013 0.279536i
\(256\) −167.644 + 193.472i −0.0409288 + 0.0472343i
\(257\) 375.148 + 241.093i 0.0910548 + 0.0585174i 0.585376 0.810762i \(-0.300947\pi\)
−0.494321 + 0.869279i \(0.664583\pi\)
\(258\) −111.546 + 775.821i −0.0269169 + 0.187211i
\(259\) 959.823 616.841i 0.230272 0.147987i
\(260\) 127.766 + 279.768i 0.0304758 + 0.0667327i
\(261\) −7334.59 8464.57i −1.73946 2.00745i
\(262\) 515.295 + 3583.96i 0.121508 + 0.845105i
\(263\) 733.650 1606.47i 0.172011 0.376651i −0.803918 0.594740i \(-0.797255\pi\)
0.975929 + 0.218089i \(0.0699824\pi\)
\(264\) 3746.31 1100.01i 0.873368 0.256444i
\(265\) −1308.44 + 384.193i −0.303309 + 0.0890596i
\(266\) 1222.40 2676.68i 0.281767 0.616984i
\(267\) −834.885 5806.76i −0.191364 1.33097i
\(268\) −1025.89 1183.94i −0.233830 0.269854i
\(269\) 1879.58 + 4115.70i 0.426022 + 0.932858i 0.993956 + 0.109783i \(0.0350157\pi\)
−0.567934 + 0.823074i \(0.692257\pi\)
\(270\) 3838.39 2466.78i 0.865173 0.556013i
\(271\) 529.958 3685.94i 0.118792 0.826217i −0.840097 0.542436i \(-0.817502\pi\)
0.958889 0.283781i \(-0.0915889\pi\)
\(272\) −1089.30 700.052i −0.242826 0.156055i
\(273\) 3613.89 4170.66i 0.801182 0.924614i
\(274\) −5372.20 1577.42i −1.18448 0.347793i
\(275\) −1222.00 −0.267962
\(276\) −2835.03 + 3372.05i −0.618292 + 0.735411i
\(277\) −212.813 −0.0461614 −0.0230807 0.999734i \(-0.507347\pi\)
−0.0230807 + 0.999734i \(0.507347\pi\)
\(278\) −1421.00 417.242i −0.306567 0.0900162i
\(279\) −8720.21 + 10063.7i −1.87120 + 2.15948i
\(280\) −1209.40 777.236i −0.258127 0.165888i
\(281\) 557.054 3874.39i 0.118260 0.822516i −0.841211 0.540707i \(-0.818157\pi\)
0.959471 0.281808i \(-0.0909343\pi\)
\(282\) −2450.42 + 1574.79i −0.517449 + 0.332544i
\(283\) −1664.00 3643.64i −0.349521 0.765343i −0.999983 0.00580506i \(-0.998152\pi\)
0.650463 0.759538i \(-0.274575\pi\)
\(284\) 846.019 + 976.358i 0.176768 + 0.204001i
\(285\) −290.855 2022.94i −0.0604518 0.420452i
\(286\) 624.521 1367.51i 0.129121 0.282736i
\(287\) 13220.5 3881.90i 2.71910 0.798401i
\(288\) 2232.05 655.390i 0.456684 0.134095i
\(289\) 679.795 1488.54i 0.138367 0.302981i
\(290\) 219.263 + 1525.00i 0.0443984 + 0.308798i
\(291\) 2464.42 + 2844.09i 0.496450 + 0.572934i
\(292\) 445.758 + 976.074i 0.0893356 + 0.195618i
\(293\) −4421.03 + 2841.22i −0.881499 + 0.566505i −0.901250 0.433300i \(-0.857349\pi\)
0.0197508 + 0.999805i \(0.493713\pi\)
\(294\) −2696.23 + 18752.7i −0.534855 + 3.72000i
\(295\) −1052.45 676.365i −0.207714 0.133490i
\(296\) 166.310 191.932i 0.0326574 0.0376887i
\(297\) −21399.1 6283.34i −4.18081 1.22760i
\(298\) 1087.82 0.211462
\(299\) 266.399 + 1675.22i 0.0515259 + 0.324015i
\(300\) −998.481 −0.192158
\(301\) −1353.51 397.426i −0.259186 0.0761038i
\(302\) −166.661 + 192.337i −0.0317558 + 0.0366482i
\(303\) 7137.56 + 4587.03i 1.35327 + 0.869697i
\(304\) 93.2153 648.326i 0.0175864 0.122316i
\(305\) 1215.41 781.097i 0.228178 0.146641i
\(306\) 4887.95 + 10703.1i 0.913155 + 1.99953i
\(307\) 4820.37 + 5563.00i 0.896133 + 1.03419i 0.999219 + 0.0395204i \(0.0125830\pi\)
−0.103086 + 0.994672i \(0.532872\pi\)
\(308\) 1000.06 + 6955.57i 0.185012 + 1.28679i
\(309\) −3147.06 + 6891.09i −0.579384 + 1.26867i
\(310\) 1757.55 516.062i 0.322006 0.0945495i
\(311\) −4027.85 + 1182.68i −0.734401 + 0.215639i −0.627485 0.778629i \(-0.715916\pi\)
−0.106916 + 0.994268i \(0.534097\pi\)
\(312\) 510.287 1117.37i 0.0925940 0.202753i
\(313\) −1298.12 9028.63i −0.234422 1.63044i −0.678603 0.734505i \(-0.737414\pi\)
0.444181 0.895937i \(-0.353495\pi\)
\(314\) −3326.64 3839.15i −0.597877 0.689987i
\(315\) 5426.86 + 11883.2i 0.970696 + 2.12553i
\(316\) −1812.40 + 1164.76i −0.322644 + 0.207351i
\(317\) −1556.06 + 10822.6i −0.275700 + 1.91754i 0.108136 + 0.994136i \(0.465512\pi\)
−0.383836 + 0.923401i \(0.625397\pi\)
\(318\) 4581.83 + 2944.56i 0.807976 + 0.519254i
\(319\) 4931.68 5691.46i 0.865583 0.998936i
\(320\) −307.038 90.1544i −0.0536373 0.0157493i
\(321\) 13037.7 2.26695
\(322\) −5280.96 5914.12i −0.913964 1.02354i
\(323\) 3312.98 0.570709
\(324\) −9951.72 2922.09i −1.70640 0.501044i
\(325\) −251.763 + 290.550i −0.0429701 + 0.0495902i
\(326\) 4400.76 + 2828.20i 0.747655 + 0.480489i
\(327\) 2341.18 16283.3i 0.395926 2.75372i
\(328\) 2580.12 1658.14i 0.434339 0.279133i
\(329\) −2177.76 4768.64i −0.364936 0.799099i
\(330\) 3196.10 + 3688.50i 0.533150 + 0.615288i
\(331\) 71.5147 + 497.396i 0.0118755 + 0.0825962i 0.994897 0.100893i \(-0.0321699\pi\)
−0.983022 + 0.183489i \(0.941261\pi\)
\(332\) −917.098 + 2008.16i −0.151603 + 0.331965i
\(333\) −2214.29 + 650.175i −0.364392 + 0.106995i
\(334\) 7342.51 2155.96i 1.20289 0.353200i
\(335\) 813.476 1781.26i 0.132671 0.290510i
\(336\) 817.135 + 5683.30i 0.132674 + 0.922766i
\(337\) 472.785 + 545.623i 0.0764220 + 0.0881957i 0.792673 0.609647i \(-0.208689\pi\)
−0.716251 + 0.697843i \(0.754143\pi\)
\(338\) 1628.85 + 3566.69i 0.262124 + 0.573972i
\(339\) −8457.70 + 5435.43i −1.35504 + 0.870833i
\(340\) 230.347 1602.10i 0.0367421 0.255547i
\(341\) −7532.23 4840.67i −1.19617 0.768730i
\(342\) −3897.70 + 4498.19i −0.616268 + 0.711211i
\(343\) −20888.0 6133.26i −3.28818 0.965496i
\(344\) −313.997 −0.0492138
\(345\) −5306.30 1472.54i −0.828062 0.229794i
\(346\) −1979.92 −0.307633
\(347\) 4948.44 + 1452.99i 0.765551 + 0.224786i 0.641118 0.767442i \(-0.278471\pi\)
0.124432 + 0.992228i \(0.460289\pi\)
\(348\) 4029.61 4650.42i 0.620717 0.716346i
\(349\) 500.268 + 321.503i 0.0767299 + 0.0493113i 0.578443 0.815723i \(-0.303660\pi\)
−0.501713 + 0.865034i \(0.667297\pi\)
\(350\) 255.743 1778.73i 0.0390573 0.271649i
\(351\) −5902.71 + 3793.44i −0.897616 + 0.576863i
\(352\) 649.776 + 1422.81i 0.0983898 + 0.215444i
\(353\) 2612.77 + 3015.29i 0.393948 + 0.454640i 0.917726 0.397215i \(-0.130023\pi\)
−0.523778 + 0.851855i \(0.675478\pi\)
\(354\) 711.087 + 4945.72i 0.106762 + 0.742548i
\(355\) −670.847 + 1468.95i −0.100295 + 0.219616i
\(356\) 2254.96 662.116i 0.335710 0.0985732i
\(357\) −27865.5 + 8182.05i −4.13109 + 1.21300i
\(358\) 3710.26 8124.34i 0.547747 1.19940i
\(359\) 709.452 + 4934.35i 0.104299 + 0.725418i 0.973121 + 0.230293i \(0.0739685\pi\)
−0.868822 + 0.495125i \(0.835122\pi\)
\(360\) 1904.24 + 2197.61i 0.278784 + 0.321734i
\(361\) −2153.16 4714.76i −0.313918 0.687384i
\(362\) 6031.63 3876.29i 0.875733 0.562799i
\(363\) 1503.77 10459.0i 0.217432 1.51227i
\(364\) 1859.83 + 1195.24i 0.267807 + 0.172109i
\(365\) −878.367 + 1013.69i −0.125961 + 0.145367i
\(366\) −5536.53 1625.67i −0.790708 0.232173i
\(367\) 6588.69 0.937130 0.468565 0.883429i \(-0.344771\pi\)
0.468565 + 0.883429i \(0.344771\pi\)
\(368\) −1498.75 931.927i −0.212304 0.132011i
\(369\) −27869.9 −3.93184
\(370\) 304.595 + 89.4371i 0.0427976 + 0.0125665i
\(371\) −6419.12 + 7408.05i −0.898285 + 1.03668i
\(372\) −6154.48 3955.25i −0.857782 0.551263i
\(373\) −1979.56 + 13768.1i −0.274792 + 1.91122i 0.120583 + 0.992703i \(0.461524\pi\)
−0.395375 + 0.918520i \(0.629385\pi\)
\(374\) −6655.65 + 4277.32i −0.920201 + 0.591378i
\(375\) −518.480 1135.31i −0.0713978 0.156339i
\(376\) −764.159 881.886i −0.104810 0.120957i
\(377\) −337.184 2345.17i −0.0460633 0.320377i
\(378\) 13624.4 29833.3i 1.85387 4.05942i
\(379\) 8395.05 2465.01i 1.13780 0.334087i 0.342029 0.939690i \(-0.388886\pi\)
0.795767 + 0.605603i \(0.207068\pi\)
\(380\) 785.577 230.666i 0.106051 0.0311393i
\(381\) 4002.42 8764.08i 0.538190 1.17847i
\(382\) 1131.10 + 7866.98i 0.151498 + 1.05369i
\(383\) 5336.41 + 6158.55i 0.711953 + 0.821637i 0.990315 0.138839i \(-0.0443370\pi\)
−0.278362 + 0.960476i \(0.589792\pi\)
\(384\) 530.923 + 1162.56i 0.0705562 + 0.154496i
\(385\) −7389.46 + 4748.92i −0.978186 + 0.628642i
\(386\) 804.492 5595.36i 0.106082 0.737815i
\(387\) 2400.35 + 1542.61i 0.315289 + 0.202624i
\(388\) −987.269 + 1139.37i −0.129178 + 0.149079i
\(389\) 13199.8 + 3875.81i 1.72045 + 0.505170i 0.985022 0.172431i \(-0.0551621\pi\)
0.735430 + 0.677601i \(0.236980\pi\)
\(390\) 1535.47 0.199363
\(391\) 3586.89 8174.42i 0.463930 1.05728i
\(392\) −7589.75 −0.977908
\(393\) 17344.3 + 5092.75i 2.22622 + 0.653678i
\(394\) 1938.89 2237.60i 0.247918 0.286113i
\(395\) −2265.50 1455.95i −0.288582 0.185460i
\(396\) 2022.81 14068.9i 0.256692 1.78533i
\(397\) 7369.78 4736.27i 0.931684 0.598757i 0.0156585 0.999877i \(-0.495016\pi\)
0.916025 + 0.401121i \(0.131379\pi\)
\(398\) −3472.35 7603.39i −0.437320 0.957597i
\(399\) −9620.32 11102.4i −1.20706 1.39303i
\(400\) −56.9259 395.929i −0.00711574 0.0494911i
\(401\) −1230.86 + 2695.21i −0.153283 + 0.335642i −0.970658 0.240463i \(-0.922701\pi\)
0.817376 + 0.576105i \(0.195428\pi\)
\(402\) −7504.20 + 2203.43i −0.931033 + 0.273376i
\(403\) −2702.77 + 793.606i −0.334081 + 0.0980951i
\(404\) −1411.97 + 3091.78i −0.173881 + 0.380747i
\(405\) −1845.09 12832.9i −0.226378 1.57449i
\(406\) 7252.32 + 8369.62i 0.886519 + 1.02310i
\(407\) −644.606 1411.49i −0.0785060 0.171904i
\(408\) −5438.24 + 3494.94i −0.659885 + 0.424082i
\(409\) −177.930 + 1237.53i −0.0215112 + 0.149613i −0.997746 0.0671011i \(-0.978625\pi\)
0.976235 + 0.216715i \(0.0695341\pi\)
\(410\) 3225.15 + 2072.68i 0.388485 + 0.249664i
\(411\) −18305.0 + 21125.0i −2.19688 + 2.53533i
\(412\) −2911.95 855.026i −0.348208 0.102243i
\(413\) −8992.62 −1.07142
\(414\) 6878.85 + 14487.3i 0.816611 + 1.71983i
\(415\) −2759.58 −0.326416
\(416\) 472.166 + 138.640i 0.0556486 + 0.0163399i
\(417\) −4841.83 + 5587.77i −0.568598 + 0.656197i
\(418\) −3366.71 2163.65i −0.393950 0.253176i
\(419\) −52.4463 + 364.772i −0.00611496 + 0.0425305i −0.992650 0.121017i \(-0.961385\pi\)
0.986536 + 0.163547i \(0.0522936\pi\)
\(420\) −6037.82 + 3880.27i −0.701466 + 0.450805i
\(421\) −3140.12 6875.91i −0.363516 0.795989i −0.999701 0.0244525i \(-0.992216\pi\)
0.636185 0.771537i \(-0.280512\pi\)
\(422\) −6738.08 7776.15i −0.777262 0.897008i
\(423\) 1509.06 + 10495.8i 0.173459 + 1.20643i
\(424\) −906.389 + 1984.71i −0.103816 + 0.227326i
\(425\) 1941.26 570.005i 0.221564 0.0650572i
\(426\) 6188.46 1817.10i 0.703831 0.206663i
\(427\) 4314.12 9446.60i 0.488934 1.07062i
\(428\) 743.311 + 5169.84i 0.0839470 + 0.583864i
\(429\) −4915.00 5672.21i −0.553143 0.638361i
\(430\) −163.049 357.027i −0.0182858 0.0400404i
\(431\) 7564.10 4861.15i 0.845359 0.543279i −0.0447650 0.998998i \(-0.514254\pi\)
0.890124 + 0.455718i \(0.150618\pi\)
\(432\) 1038.94 7226.01i 0.115709 0.804772i
\(433\) 1502.02 + 965.290i 0.166703 + 0.107134i 0.621332 0.783547i \(-0.286592\pi\)
−0.454629 + 0.890681i \(0.650228\pi\)
\(434\) 8622.39 9950.77i 0.953659 1.10058i
\(435\) 7380.16 + 2167.01i 0.813452 + 0.238851i
\(436\) 6590.31 0.723895
\(437\) 4515.03 67.2925i 0.494240 0.00736621i
\(438\) 5357.06 0.584407
\(439\) −6749.78 1981.91i −0.733826 0.215471i −0.106593 0.994303i \(-0.533994\pi\)
−0.627232 + 0.778832i \(0.715812\pi\)
\(440\) −1280.39 + 1477.64i −0.138727 + 0.160100i
\(441\) 58019.9 + 37287.1i 6.26497 + 4.02625i
\(442\) −354.229 + 2463.72i −0.0381198 + 0.265129i
\(443\) 7864.24 5054.04i 0.843434 0.542042i −0.0460863 0.998937i \(-0.514675\pi\)
0.889521 + 0.456895i \(0.151039\pi\)
\(444\) −526.699 1153.31i −0.0562973 0.123274i
\(445\) 1923.78 + 2220.16i 0.204935 + 0.236507i
\(446\) 151.587 + 1054.31i 0.0160939 + 0.111935i
\(447\) 2256.05 4940.06i 0.238719 0.522722i
\(448\) −2207.02 + 648.039i −0.232749 + 0.0683414i
\(449\) 12610.1 3702.65i 1.32540 0.389173i 0.458963 0.888455i \(-0.348221\pi\)
0.866440 + 0.499282i \(0.166403\pi\)
\(450\) −1509.96 + 3306.35i −0.158178 + 0.346362i
\(451\) −2666.89 18548.6i −0.278445 1.93663i
\(452\) −2637.51 3043.85i −0.274465 0.316749i
\(453\) 527.809 + 1155.74i 0.0547431 + 0.119871i
\(454\) −4597.44 + 2954.59i −0.475261 + 0.305431i
\(455\) −393.285 + 2735.35i −0.0405219 + 0.281836i
\(456\) −2750.89 1767.89i −0.282505 0.181555i
\(457\) 1178.70 1360.30i 0.120651 0.139238i −0.692211 0.721695i \(-0.743363\pi\)
0.812861 + 0.582457i \(0.197909\pi\)
\(458\) 3927.37 + 1153.18i 0.400686 + 0.117652i
\(459\) 36925.2 3.75495
\(460\) 281.382 2188.06i 0.0285207 0.221780i
\(461\) −10187.1 −1.02920 −0.514599 0.857431i \(-0.672059\pi\)
−0.514599 + 0.857431i \(0.672059\pi\)
\(462\) 33661.0 + 9883.77i 3.38972 + 0.995313i
\(463\) −1773.89 + 2047.18i −0.178055 + 0.205487i −0.837761 0.546038i \(-0.816136\pi\)
0.659705 + 0.751524i \(0.270681\pi\)
\(464\) 2073.77 + 1332.73i 0.207484 + 0.133342i
\(465\) 1301.44 9051.73i 0.129791 0.902718i
\(466\) −1006.98 + 647.150i −0.100102 + 0.0643318i
\(467\) 210.837 + 461.670i 0.0208916 + 0.0457463i 0.919790 0.392411i \(-0.128359\pi\)
−0.898899 + 0.438157i \(0.855631\pi\)
\(468\) −2928.36 3379.51i −0.289238 0.333799i
\(469\) −2003.21 13932.6i −0.197227 1.37175i
\(470\) 605.936 1326.81i 0.0594675 0.130216i
\(471\) −24333.7 + 7145.03i −2.38055 + 0.698993i
\(472\) −1920.59 + 563.936i −0.187293 + 0.0549942i
\(473\) −796.983 + 1745.15i −0.0774742 + 0.169645i
\(474\) 1530.69 + 10646.2i 0.148327 + 1.03164i
\(475\) 670.202 + 773.455i 0.0647389 + 0.0747127i
\(476\) −4833.12 10583.1i −0.465390 1.01906i
\(477\) 16679.5 10719.2i 1.60105 1.02893i
\(478\) −639.397 + 4447.10i −0.0611827 + 0.425535i
\(479\) 4365.33 + 2805.42i 0.416403 + 0.267606i 0.732023 0.681280i \(-0.238576\pi\)
−0.315621 + 0.948885i \(0.602213\pi\)
\(480\) −1046.19 + 1207.36i −0.0994825 + 0.114809i
\(481\) −468.409 137.537i −0.0444025 0.0130378i
\(482\) 1498.81 0.141637
\(483\) −37809.8 + 11716.8i −3.56191 + 1.10379i
\(484\) 4233.04 0.397544
\(485\) −1808.17 530.925i −0.169288 0.0497074i
\(486\) −17774.2 + 20512.5i −1.65896 + 1.91454i
\(487\) 6907.39 + 4439.11i 0.642718 + 0.413050i 0.820999 0.570930i \(-0.193417\pi\)
−0.178281 + 0.983980i \(0.557053\pi\)
\(488\) 328.978 2288.09i 0.0305166 0.212248i
\(489\) 21970.4 14119.5i 2.03177 1.30574i
\(490\) −3941.12 8629.84i −0.363350 0.795626i
\(491\) 11095.6 + 12805.0i 1.01983 + 1.17695i 0.984105 + 0.177586i \(0.0568289\pi\)
0.0357261 + 0.999362i \(0.488626\pi\)
\(492\) −2179.08 15155.8i −0.199676 1.38878i
\(493\) −5179.62 + 11341.8i −0.473181 + 1.03612i
\(494\) −1208.07 + 354.721i −0.110027 + 0.0323070i
\(495\) 17047.3 5005.55i 1.54792 0.454510i
\(496\) 1217.49 2665.94i 0.110216 0.241339i
\(497\) 1651.98 + 11489.8i 0.149098 + 1.03700i
\(498\) 7217.59 + 8329.54i 0.649454 + 0.749509i
\(499\) −6448.61 14120.5i −0.578515 1.26677i −0.942138 0.335226i \(-0.891187\pi\)
0.363622 0.931546i \(-0.381540\pi\)
\(500\) 420.627 270.320i 0.0376220 0.0241782i
\(501\) 5437.04 37815.5i 0.484849 3.37220i
\(502\) −2636.62 1694.45i −0.234419 0.150652i
\(503\) 3831.15 4421.38i 0.339607 0.391928i −0.560098 0.828427i \(-0.689236\pi\)
0.899705 + 0.436499i \(0.143782\pi\)
\(504\) 20055.3 + 5888.76i 1.77249 + 0.520449i
\(505\) −4248.67 −0.374383
\(506\) −8983.64 + 5964.46i −0.789272 + 0.524017i
\(507\) 19575.4 1.71474
\(508\) 3703.42 + 1087.42i 0.323450 + 0.0949735i
\(509\) −3302.87 + 3811.71i −0.287617 + 0.331928i −0.881110 0.472911i \(-0.843203\pi\)
0.593493 + 0.804839i \(0.297749\pi\)
\(510\) −6797.80 4368.68i −0.590219 0.379311i
\(511\) −1372.12 + 9543.28i −0.118784 + 0.826164i
\(512\) −430.722 + 276.808i −0.0371785 + 0.0238932i
\(513\) 7759.27 + 16990.4i 0.667797 + 1.46227i
\(514\) 584.056 + 674.037i 0.0501199 + 0.0578414i
\(515\) −539.887 3755.00i −0.0461947 0.321291i
\(516\) −651.204 + 1425.94i −0.0555575 + 0.121654i
\(517\) −6840.98 + 2008.69i −0.581946 + 0.170875i
\(518\) 2189.46 642.882i 0.185713 0.0545302i
\(519\) −4106.19 + 8991.30i −0.347286 + 0.760451i
\(520\) 87.5413 + 608.863i 0.00738258 + 0.0513469i
\(521\) 2940.44 + 3393.45i 0.247261 + 0.285355i 0.865790 0.500407i \(-0.166816\pi\)
−0.618529 + 0.785762i \(0.712271\pi\)
\(522\) −9305.49 20376.2i −0.780249 1.70851i
\(523\) −7948.05 + 5107.90i −0.664520 + 0.427061i −0.828946 0.559329i \(-0.811059\pi\)
0.164426 + 0.986389i \(0.447423\pi\)
\(524\) −1030.59 + 7167.91i −0.0859190 + 0.597580i
\(525\) −7547.28 4850.34i −0.627410 0.403212i
\(526\) 2313.05 2669.40i 0.191737 0.221277i
\(527\) 14223.6 + 4176.41i 1.17569 + 0.345213i
\(528\) 7808.93 0.643636
\(529\) 4722.28 11213.2i 0.388122 0.921608i
\(530\) −2727.36 −0.223526
\(531\) 17452.5 + 5124.51i 1.42632 + 0.418804i
\(532\) 3853.98 4447.73i 0.314081 0.362469i
\(533\) −4959.67 3187.39i −0.403053 0.259026i
\(534\) 1669.77 11613.5i 0.135315 0.941134i
\(535\) −5492.34 + 3529.71i −0.443840 + 0.285239i
\(536\) −1301.56 2850.02i −0.104886 0.229668i
\(537\) −29199.9 33698.5i −2.34649 2.70800i
\(538\) 1287.83 + 8957.05i 0.103201 + 0.717780i
\(539\) −19264.2 + 42182.7i −1.53946 + 3.37094i
\(540\) 8755.75 2570.92i 0.697755 0.204879i
\(541\) −9924.16 + 2914.00i −0.788674 + 0.231576i −0.651176 0.758926i \(-0.725724\pi\)
−0.137498 + 0.990502i \(0.543906\pi\)
\(542\) 3093.88 6774.65i 0.245191 0.536893i
\(543\) −5094.10 35430.2i −0.402594 2.80011i
\(544\) −1695.90 1957.17i −0.133660 0.154252i
\(545\) 3422.14 + 7493.44i 0.268969 + 0.588961i
\(546\) 9285.03 5967.13i 0.727770 0.467710i
\(547\) 1897.39 13196.7i 0.148312 1.03153i −0.770670 0.637234i \(-0.780078\pi\)
0.918982 0.394299i \(-0.129013\pi\)
\(548\) −9420.35 6054.09i −0.734338 0.471931i
\(549\) −13755.9 + 15875.1i −1.06937 + 1.23412i
\(550\) −2345.00 688.555i −0.181802 0.0533820i
\(551\) −6307.12 −0.487645
\(552\) −7340.41 + 4873.48i −0.565994 + 0.375777i
\(553\) −19357.6 −1.48855
\(554\) −408.386 119.913i −0.0313189 0.00919605i
\(555\) 1037.86 1197.76i 0.0793779 0.0916070i
\(556\) −2491.77 1601.36i −0.190062 0.122146i
\(557\) −2372.01 + 16497.7i −0.180440 + 1.25499i 0.675284 + 0.737557i \(0.264021\pi\)
−0.855725 + 0.517432i \(0.826888\pi\)
\(558\) −22404.5 + 14398.5i −1.69974 + 1.09236i
\(559\) 250.738 + 549.039i 0.0189715 + 0.0415418i
\(560\) −1882.88 2172.96i −0.142083 0.163972i
\(561\) 5621.13 + 39095.8i 0.423038 + 2.94229i
\(562\) 3252.06 7121.03i 0.244093 0.534488i
\(563\) 14330.8 4207.90i 1.07277 0.314995i 0.302789 0.953058i \(-0.402082\pi\)
0.769984 + 0.638063i \(0.220264\pi\)
\(564\) −5589.67 + 1641.27i −0.417318 + 0.122536i
\(565\) 2091.40 4579.53i 0.155727 0.340996i
\(566\) −1140.12 7929.71i −0.0846693 0.588888i
\(567\) −61028.0 70430.1i −4.52017 5.21655i
\(568\) 1073.35 + 2350.32i 0.0792904 + 0.173622i
\(569\) −11011.2 + 7076.47i −0.811271 + 0.521372i −0.879276 0.476313i \(-0.841973\pi\)
0.0680048 + 0.997685i \(0.478337\pi\)
\(570\) 581.710 4045.88i 0.0427459 0.297304i
\(571\) −5158.53 3315.19i −0.378070 0.242971i 0.337780 0.941225i \(-0.390324\pi\)
−0.715850 + 0.698254i \(0.753960\pi\)
\(572\) 1968.99 2272.34i 0.143929 0.166103i
\(573\) 38071.8 + 11178.9i 2.77569 + 0.815016i
\(574\) 27557.3 2.00387
\(575\) 2634.03 816.251i 0.191038 0.0592000i
\(576\) 4652.57 0.336557
\(577\) −9676.45 2841.26i −0.698156 0.204997i −0.0866522 0.996239i \(-0.527617\pi\)
−0.611504 + 0.791242i \(0.709435\pi\)
\(578\) 2143.26 2473.45i 0.154235 0.177997i
\(579\) −23741.5 15257.7i −1.70408 1.09515i
\(580\) −438.525 + 3050.01i −0.0313944 + 0.218353i
\(581\) −16687.2 + 10724.2i −1.19157 + 0.765776i
\(582\) 3126.64 + 6846.39i 0.222686 + 0.487615i
\(583\) 8730.18 + 10075.2i 0.620184 + 0.715730i
\(584\) 305.420 + 2124.24i 0.0216410 + 0.150517i
\(585\) 2322.03 5084.54i 0.164110 0.359350i
\(586\) −10084.8 + 2961.17i −0.710922 + 0.208745i
\(587\) 12495.9 3669.13i 0.878638 0.257992i 0.188853 0.982005i \(-0.439523\pi\)
0.689785 + 0.724014i \(0.257705\pi\)
\(588\) −15740.5 + 34466.9i −1.10396 + 2.41733i
\(589\) 1067.17 + 7422.30i 0.0746550 + 0.519237i
\(590\) −1638.52 1890.95i −0.114334 0.131948i
\(591\) −6140.39 13445.6i −0.427380 0.935832i
\(592\) 427.295 274.606i 0.0296650 0.0190646i
\(593\) 2174.08 15121.1i 0.150555 1.04713i −0.764738 0.644341i \(-0.777132\pi\)
0.915293 0.402789i \(-0.131959\pi\)
\(594\) −37524.1 24115.3i −2.59197 1.66576i
\(595\) 9523.67 10990.9i 0.656189 0.757283i
\(596\) 2087.51 + 612.948i 0.143469 + 0.0421264i
\(597\) −41730.3 −2.86082
\(598\) −432.712 + 3364.83i −0.0295902 + 0.230097i
\(599\) 6059.09 0.413302 0.206651 0.978415i \(-0.433744\pi\)
0.206651 + 0.978415i \(0.433744\pi\)
\(600\) −1916.07 562.609i −0.130372 0.0382807i
\(601\) −10170.1 + 11736.9i −0.690261 + 0.796604i −0.987402 0.158230i \(-0.949421\pi\)
0.297141 + 0.954834i \(0.403967\pi\)
\(602\) −2373.43 1525.31i −0.160687 0.103267i
\(603\) −4051.87 + 28181.4i −0.273640 + 1.90321i
\(604\) −428.195 + 275.184i −0.0288460 + 0.0185382i
\(605\) 2198.09 + 4813.14i 0.147711 + 0.323441i
\(606\) 11112.2 + 12824.2i 0.744891 + 0.859650i
\(607\) −709.150 4932.25i −0.0474193 0.329808i −0.999698 0.0245783i \(-0.992176\pi\)
0.952279 0.305230i \(-0.0987334\pi\)
\(608\) 544.188 1191.61i 0.0362989 0.0794835i
\(609\) 53049.3 15576.7i 3.52983 1.03645i
\(610\) 2772.48 814.072i 0.184023 0.0540341i
\(611\) −931.815 + 2040.39i −0.0616975 + 0.135099i
\(612\) 3349.07 + 23293.3i 0.221206 + 1.53852i
\(613\) 14611.6 + 16862.7i 0.962738 + 1.11106i 0.993760 + 0.111540i \(0.0355784\pi\)
−0.0310217 + 0.999519i \(0.509876\pi\)
\(614\) 6115.66 + 13391.4i 0.401967 + 0.880186i
\(615\) 16101.3 10347.6i 1.05572 0.678467i
\(616\) −2000.12 + 13911.1i −0.130823 + 0.909895i
\(617\) 24177.2 + 15537.7i 1.57753 + 1.01382i 0.976745 + 0.214406i \(0.0687815\pi\)
0.600785 + 0.799411i \(0.294855\pi\)
\(618\) −9922.05 + 11450.7i −0.645830 + 0.745328i
\(619\) 5295.88 + 1555.01i 0.343876 + 0.100971i 0.449110 0.893476i \(-0.351741\pi\)
−0.105234 + 0.994447i \(0.533559\pi\)
\(620\) 3663.49 0.237305
\(621\) 50322.8 750.017i 3.25183 0.0484656i
\(622\) −8395.79 −0.541223
\(623\) 20261.1 + 5949.19i 1.30296 + 0.382583i
\(624\) 1608.83 1856.69i 0.103213 0.119114i
\(625\) 525.783 + 337.901i 0.0336501 + 0.0216256i
\(626\) 2596.24 18057.3i 0.165762 1.15290i
\(627\) −16808.0 + 10801.8i −1.07057 + 0.688012i
\(628\) −4220.55 9241.72i −0.268182 0.587237i
\(629\) 1682.41 + 1941.60i 0.106649 + 0.123079i
\(630\) 3718.32 + 25861.5i 0.235145 + 1.63547i
\(631\) −2671.61 + 5850.01i −0.168550 + 0.369073i −0.974992 0.222240i \(-0.928663\pi\)
0.806442 + 0.591313i \(0.201390\pi\)
\(632\) −4134.28 + 1213.93i −0.260210 + 0.0764045i
\(633\) −49287.7 + 14472.2i −3.09480 + 0.908716i
\(634\) −9084.23 + 19891.7i −0.569055 + 1.24606i
\(635\) 686.627 + 4775.60i 0.0429102 + 0.298447i
\(636\) 7133.31 + 8232.28i 0.444739 + 0.513256i
\(637\) 6060.69 + 13271.1i 0.376975 + 0.825461i
\(638\) 12670.8 8143.01i 0.786270 0.505305i
\(639\) 3341.44 23240.2i 0.206863 1.43876i
\(640\) −538.402 346.010i −0.0332535 0.0213707i
\(641\) −15572.4 + 17971.5i −0.959550 + 1.10738i 0.0346028 + 0.999401i \(0.488983\pi\)
−0.994153 + 0.107979i \(0.965562\pi\)
\(642\) 25019.1 + 7346.28i 1.53805 + 0.451611i
\(643\) 6197.93 0.380128 0.190064 0.981772i \(-0.439130\pi\)
0.190064 + 0.981772i \(0.439130\pi\)
\(644\) −6801.69 14324.7i −0.416186 0.876513i
\(645\) −1959.50 −0.119620
\(646\) 6357.56 + 1866.75i 0.387205 + 0.113694i
\(647\) −13241.3 + 15281.3i −0.804590 + 0.928546i −0.998624 0.0524485i \(-0.983297\pi\)
0.194034 + 0.980995i \(0.437843\pi\)
\(648\) −17450.7 11214.9i −1.05791 0.679881i
\(649\) −1740.54 + 12105.7i −0.105273 + 0.732191i
\(650\) −646.844 + 415.702i −0.0390328 + 0.0250849i
\(651\) −27306.8 59793.5i −1.64399 3.59984i
\(652\) 6851.41 + 7906.95i 0.411537 + 0.474939i
\(653\) −2784.74 19368.3i −0.166884 1.16070i −0.885277 0.465065i \(-0.846031\pi\)
0.718393 0.695638i \(-0.244878\pi\)
\(654\) 13667.8 29928.2i 0.817205 1.78943i
\(655\) −8685.36 + 2550.25i −0.518114 + 0.152132i
\(656\) 5885.52 1728.14i 0.350291 0.102855i
\(657\) 8101.25 17739.3i 0.481065 1.05339i
\(658\) −1492.14 10378.0i −0.0884036 0.614860i
\(659\) −16887.8 19489.5i −0.998261 1.15206i −0.988364 0.152104i \(-0.951395\pi\)
−0.00989697 0.999951i \(-0.503150\pi\)
\(660\) 4054.93 + 8879.07i 0.239149 + 0.523662i
\(661\) −19588.8 + 12588.9i −1.15267 + 0.740775i −0.970169 0.242430i \(-0.922055\pi\)
−0.182500 + 0.983206i \(0.558419\pi\)
\(662\) −143.029 + 994.791i −0.00839727 + 0.0584043i
\(663\) 10453.7 + 6718.20i 0.612351 + 0.393534i
\(664\) −2891.43 + 3336.89i −0.168990 + 0.195025i
\(665\) 7058.50 + 2072.56i 0.411604 + 0.120858i
\(666\) −4615.55 −0.268542
\(667\) −6828.57 + 15562.1i −0.396407 + 0.903401i
\(668\) 15305.0 0.886478
\(669\) 5102.28 + 1498.16i 0.294866 + 0.0865806i
\(670\) 2564.73 2959.86i 0.147887 0.170670i
\(671\) −11881.9 7636.01i −0.683598 0.439322i
\(672\) −1634.27 + 11366.6i −0.0938145 + 0.652494i
\(673\) −2774.22 + 1782.88i −0.158898 + 0.102118i −0.617673 0.786435i \(-0.711925\pi\)
0.458775 + 0.888552i \(0.348288\pi\)
\(674\) 599.828 + 1313.44i 0.0342797 + 0.0750620i
\(675\) 7469.83 + 8620.64i 0.425946 + 0.491568i
\(676\) 1116.04 + 7762.23i 0.0634980 + 0.441638i
\(677\) 6166.30 13502.3i 0.350059 0.766523i −0.649919 0.760003i \(-0.725197\pi\)
0.999979 0.00651998i \(-0.00207539\pi\)
\(678\) −19292.9 + 5664.90i −1.09283 + 0.320884i
\(679\) −12997.3 + 3816.34i −0.734594 + 0.215696i
\(680\) 1344.76 2944.61i 0.0758369 0.166060i
\(681\) 3882.83 + 27005.7i 0.218488 + 1.51962i
\(682\) −11726.7 13533.3i −0.658414 0.759850i
\(683\) 2143.24 + 4693.03i 0.120071 + 0.262919i 0.960118 0.279594i \(-0.0902000\pi\)
−0.840047 + 0.542514i \(0.817473\pi\)
\(684\) −10014.2 + 6435.74i −0.559799 + 0.359761i
\(685\) 1992.05 13855.0i 0.111113 0.772807i
\(686\) −36627.8 23539.3i −2.03857 1.31011i
\(687\) 13381.9 15443.6i 0.743163 0.857655i
\(688\) −602.555 176.926i −0.0333898 0.00980414i
\(689\) 4194.16 0.231908
\(690\) −9352.98 5815.69i −0.516032 0.320869i
\(691\) −8393.92 −0.462113 −0.231056 0.972940i \(-0.574218\pi\)
−0.231056 + 0.972940i \(0.574218\pi\)
\(692\) −3799.43 1115.61i −0.208718 0.0612851i
\(693\) 83633.0 96517.6i 4.58435 5.29062i
\(694\) 8677.27 + 5576.54i 0.474618 + 0.305018i
\(695\) 526.916 3664.78i 0.0287583 0.200019i
\(696\) 10353.1 6653.54i 0.563841 0.362359i
\(697\) 12888.6 + 28222.2i 0.700419 + 1.53370i
\(698\) 778.852 + 898.843i 0.0422349 + 0.0487417i
\(699\) 850.464 + 5915.11i 0.0460193 + 0.320071i
\(700\) 1493.02 3269.26i 0.0806156 0.176524i
\(701\) 13977.1 4104.06i 0.753080 0.221124i 0.117408 0.993084i \(-0.462541\pi\)
0.635672 + 0.771959i \(0.280723\pi\)
\(702\) −13464.7 + 3953.59i −0.723920 + 0.212562i
\(703\) −539.858 + 1182.12i −0.0289632 + 0.0634206i
\(704\) 445.207 + 3096.48i 0.0238343 + 0.165771i
\(705\) −4768.74 5503.41i −0.254753 0.294001i
\(706\) 3314.85 + 7258.51i 0.176708 + 0.386937i
\(707\) −25691.8 + 16511.1i −1.36667 + 0.878308i
\(708\) −1422.17 + 9891.43i −0.0754923 + 0.525060i
\(709\) −6138.07 3944.70i −0.325134 0.208951i 0.367883 0.929872i \(-0.380083\pi\)
−0.693017 + 0.720921i \(0.743719\pi\)
\(710\) −2115.05 + 2440.89i −0.111798 + 0.129021i
\(711\) 37568.4 + 11031.1i 1.98161 + 0.581853i
\(712\) 4700.31 0.247404
\(713\) 19469.1 + 5402.84i 1.02262 + 0.283784i
\(714\) −58083.8 −3.04444
\(715\) 3606.17 + 1058.87i 0.188620 + 0.0553838i
\(716\) 11697.7 13499.9i 0.610565 0.704629i
\(717\) 18869.3 + 12126.6i 0.982829 + 0.631626i
\(718\) −1418.90 + 9868.70i −0.0737508 + 0.512948i
\(719\) −1328.51 + 853.781i −0.0689082 + 0.0442846i −0.574641 0.818405i \(-0.694858\pi\)
0.505733 + 0.862690i \(0.331222\pi\)
\(720\) 2415.93 + 5290.16i 0.125051 + 0.273823i
\(721\) −17857.3 20608.4i −0.922385 1.06449i
\(722\) −1475.28 10260.8i −0.0760446 0.528902i
\(723\) 3108.41 6806.46i 0.159893 0.350118i
\(724\) 13758.8 4039.94i 0.706271 0.207380i
\(725\) −3695.69 + 1085.15i −0.189317 + 0.0555884i
\(726\) 8778.99 19223.3i 0.448786 0.982705i
\(727\) 2364.51 + 16445.6i 0.120626 + 0.838971i 0.956850 + 0.290583i \(0.0938492\pi\)
−0.836224 + 0.548388i \(0.815242\pi\)
\(728\) 2895.51 + 3341.60i 0.147411 + 0.170121i
\(729\) 27206.9 + 59574.9i 1.38226 + 3.02672i
\(730\) −2256.75 + 1450.33i −0.114419 + 0.0735328i
\(731\) 452.050 3144.08i 0.0228723 0.159081i
\(732\) −9708.51 6239.28i −0.490214 0.315042i
\(733\) −9813.94 + 11325.9i −0.494524 + 0.570711i −0.947069 0.321030i \(-0.895971\pi\)
0.452545 + 0.891742i \(0.350516\pi\)
\(734\) 12643.6 + 3712.50i 0.635809 + 0.186690i
\(735\) −47363.8 −2.37693
\(736\) −2350.98 2632.85i −0.117742 0.131859i
\(737\) −19143.6 −0.956804
\(738\) −53482.0 15703.7i −2.66762 0.783282i
\(739\) 19587.1 22604.7i 0.974997 1.12521i −0.0171157 0.999854i \(-0.505448\pi\)
0.992112 0.125353i \(-0.0400062\pi\)
\(740\) 534.118 + 343.257i 0.0265332 + 0.0170519i
\(741\) −894.560 + 6221.80i −0.0443488 + 0.308453i
\(742\) −16492.4 + 10599.0i −0.815976 + 0.524396i
\(743\) −99.2723 217.376i −0.00490168 0.0107332i 0.907165 0.420774i \(-0.138242\pi\)
−0.912067 + 0.410041i \(0.865514\pi\)
\(744\) −9581.72 11057.9i −0.472155 0.544895i
\(745\) 387.032 + 2691.87i 0.0190332 + 0.132379i
\(746\) −11556.6 + 25305.4i −0.567181 + 1.24195i
\(747\) 38497.1 11303.8i 1.88559 0.553659i
\(748\) −15182.2 + 4457.90i −0.742135 + 0.217910i
\(749\) −19495.2 + 42688.4i −0.951051 + 2.08251i
\(750\) −355.247 2470.79i −0.0172957 0.120294i
\(751\) 12208.6 + 14089.5i 0.593206 + 0.684596i 0.970390 0.241542i \(-0.0776531\pi\)
−0.377184 + 0.926138i \(0.623108\pi\)
\(752\) −969.498 2122.90i −0.0470132 0.102945i
\(753\) −13163.1 + 8459.39i −0.637037 + 0.409399i
\(754\) 674.368 4690.33i 0.0325717 0.226541i
\(755\) −535.244 343.980i −0.0258007 0.0165811i
\(756\) 42955.1 49572.8i 2.06648 2.38485i
\(757\) 8250.84 + 2422.67i 0.396145 + 0.116319i 0.473737 0.880666i \(-0.342905\pi\)
−0.0775915 + 0.996985i \(0.524723\pi\)
\(758\) 17498.9 0.838509
\(759\) 8454.75 + 53166.8i 0.404332 + 2.54260i
\(760\) 1637.48 0.0781549
\(761\) −31975.1 9388.74i −1.52312 0.447230i −0.590186 0.807267i \(-0.700946\pi\)
−0.932938 + 0.360038i \(0.882764\pi\)
\(762\) 12618.8 14562.9i 0.599911 0.692335i
\(763\) 49814.6 + 32013.9i 2.36358 + 1.51898i
\(764\) −2262.20 + 15734.0i −0.107125 + 0.745072i
\(765\) −24746.4 + 15903.5i −1.16955 + 0.751625i
\(766\) 6770.37 + 14825.0i 0.319352 + 0.699283i
\(767\) 2519.73 + 2907.93i 0.118621 + 0.136896i
\(768\) 363.773 + 2530.09i 0.0170918 + 0.118876i
\(769\) 2614.09 5724.06i 0.122583 0.268420i −0.838385 0.545079i \(-0.816500\pi\)
0.960968 + 0.276659i \(0.0892271\pi\)
\(770\) −16856.1 + 4949.40i −0.788899 + 0.231642i
\(771\) 4272.25 1254.45i 0.199561 0.0585964i
\(772\)