Properties

Label 224.3.v.b.13.16
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 13.16
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41192 + 1.41651i) q^{2} +(2.79421 + 1.15740i) q^{3} +(-0.0129803 - 3.99998i) q^{4} +(1.86072 + 4.49217i) q^{5} +(-5.58465 + 2.32386i) q^{6} +(6.93602 - 0.944293i) q^{7} +(5.68432 + 5.62925i) q^{8} +(0.104065 + 0.104065i) q^{9} +O(q^{10})\) \(q+(-1.41192 + 1.41651i) q^{2} +(2.79421 + 1.15740i) q^{3} +(-0.0129803 - 3.99998i) q^{4} +(1.86072 + 4.49217i) q^{5} +(-5.58465 + 2.32386i) q^{6} +(6.93602 - 0.944293i) q^{7} +(5.68432 + 5.62925i) q^{8} +(0.104065 + 0.104065i) q^{9} +(-8.99036 - 3.70685i) q^{10} +(2.63807 + 6.36886i) q^{11} +(4.59330 - 11.1918i) q^{12} +(3.81272 - 9.20472i) q^{13} +(-8.45548 + 11.1582i) q^{14} +14.7056i q^{15} +(-15.9997 + 0.103842i) q^{16} +18.4549 q^{17} +(-0.294341 + 0.000477579i) q^{18} +(-6.94428 + 16.7650i) q^{19} +(17.9444 - 7.50114i) q^{20} +(20.4736 + 5.38918i) q^{21} +(-12.7463 - 5.25546i) q^{22} +(-1.72229 - 1.72229i) q^{23} +(9.36789 + 22.3083i) q^{24} +(0.960355 - 0.960355i) q^{25} +(7.65530 + 18.3970i) q^{26} +(-10.2463 - 24.7366i) q^{27} +(-3.86718 - 27.7317i) q^{28} +(-17.1745 + 41.4630i) q^{29} +(-20.8306 - 20.7632i) q^{30} -2.69268i q^{31} +(22.4431 - 22.8102i) q^{32} +20.8492i q^{33} +(-26.0568 + 26.1415i) q^{34} +(17.1479 + 29.4007i) q^{35} +(0.414908 - 0.417610i) q^{36} +(-63.1550 + 26.1596i) q^{37} +(-13.9429 - 33.5073i) q^{38} +(21.3071 - 21.3071i) q^{39} +(-14.7106 + 36.0094i) q^{40} +(-4.62617 + 4.62617i) q^{41} +(-36.5408 + 21.3919i) q^{42} +(1.15439 + 2.78695i) q^{43} +(25.4411 - 10.6349i) q^{44} +(-0.273843 + 0.661115i) q^{45} +(4.87136 - 0.00790397i) q^{46} +9.80819 q^{47} +(-44.8266 - 18.2278i) q^{48} +(47.2166 - 13.0993i) q^{49} +(0.00440728 + 2.71629i) q^{50} +(51.5668 + 21.3597i) q^{51} +(-36.8682 - 15.1313i) q^{52} +(10.8678 + 26.2371i) q^{53} +(49.5065 + 20.4122i) q^{54} +(-23.7013 + 23.7013i) q^{55} +(44.7422 + 33.6769i) q^{56} +(-38.8075 + 38.8075i) q^{57} +(-34.4835 - 82.8701i) q^{58} +(-30.6283 - 73.9432i) q^{59} +(58.8223 - 0.190883i) q^{60} +(-25.7376 - 10.6609i) q^{61} +(3.81420 + 3.80184i) q^{62} +(0.820067 + 0.623531i) q^{63} +(0.623044 + 63.9970i) q^{64} +48.4435 q^{65} +(-29.5331 - 29.4374i) q^{66} +(29.2049 - 70.5070i) q^{67} +(-0.239550 - 73.8192i) q^{68} +(-2.81906 - 6.80581i) q^{69} +(-65.8577 - 17.2212i) q^{70} +(33.8344 - 33.8344i) q^{71} +(0.00573093 + 1.17735i) q^{72} +(70.7687 - 70.7687i) q^{73} +(52.1143 - 126.395i) q^{74} +(3.79495 - 1.57192i) q^{75} +(67.1496 + 27.5593i) q^{76} +(24.3118 + 41.6834i) q^{77} +(0.0977829 + 60.2654i) q^{78} -89.2961i q^{79} +(-30.2373 - 71.6800i) q^{80} -82.3029i q^{81} +(-0.0212305 - 13.0848i) q^{82} +(54.0727 - 130.543i) q^{83} +(21.2909 - 81.9639i) q^{84} +(34.3394 + 82.9026i) q^{85} +(-5.57763 - 2.29973i) q^{86} +(-95.9784 + 95.9784i) q^{87} +(-20.8563 + 51.0530i) q^{88} +(-72.3174 - 72.3174i) q^{89} +(-0.549830 - 1.32134i) q^{90} +(17.7531 - 67.4444i) q^{91} +(-6.86676 + 6.91148i) q^{92} +(3.11650 - 7.52391i) q^{93} +(-13.8483 + 13.8934i) q^{94} -88.2324 q^{95} +(89.1113 - 37.7609i) q^{96} +108.153i q^{97} +(-48.1108 + 85.3777i) q^{98} +(-0.388246 + 0.937309i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41192 + 1.41651i −0.705959 + 0.708253i
\(3\) 2.79421 + 1.15740i 0.931403 + 0.385800i 0.796210 0.605020i \(-0.206835\pi\)
0.135192 + 0.990819i \(0.456835\pi\)
\(4\) −0.0129803 3.99998i −0.00324507 0.999995i
\(5\) 1.86072 + 4.49217i 0.372143 + 0.898434i 0.993387 + 0.114816i \(0.0366279\pi\)
−0.621243 + 0.783618i \(0.713372\pi\)
\(6\) −5.58465 + 2.32386i −0.930775 + 0.387310i
\(7\) 6.93602 0.944293i 0.990859 0.134899i
\(8\) 5.68432 + 5.62925i 0.710540 + 0.703656i
\(9\) 0.104065 + 0.104065i 0.0115628 + 0.0115628i
\(10\) −8.99036 3.70685i −0.899036 0.370685i
\(11\) 2.63807 + 6.36886i 0.239824 + 0.578988i 0.997264 0.0739174i \(-0.0235501\pi\)
−0.757440 + 0.652905i \(0.773550\pi\)
\(12\) 4.59330 11.1918i 0.382775 0.932650i
\(13\) 3.81272 9.20472i 0.293286 0.708055i −0.706714 0.707500i \(-0.749823\pi\)
1.00000 0.000555699i \(-0.000176884\pi\)
\(14\) −8.45548 + 11.1582i −0.603963 + 0.797012i
\(15\) 14.7056i 0.980376i
\(16\) −15.9997 + 0.103842i −0.999979 + 0.00649010i
\(17\) 18.4549 1.08558 0.542791 0.839868i \(-0.317367\pi\)
0.542791 + 0.839868i \(0.317367\pi\)
\(18\) −0.294341 0.000477579i −0.0163523 2.65322e-5i
\(19\) −6.94428 + 16.7650i −0.365488 + 0.882367i 0.628989 + 0.777414i \(0.283469\pi\)
−0.994477 + 0.104952i \(0.966531\pi\)
\(20\) 17.9444 7.50114i 0.897221 0.375057i
\(21\) 20.4736 + 5.38918i 0.974933 + 0.256628i
\(22\) −12.7463 5.25546i −0.579376 0.238885i
\(23\) −1.72229 1.72229i −0.0748821 0.0748821i 0.668674 0.743556i \(-0.266862\pi\)
−0.743556 + 0.668674i \(0.766862\pi\)
\(24\) 9.36789 + 22.3083i 0.390329 + 0.929514i
\(25\) 0.960355 0.960355i 0.0384142 0.0384142i
\(26\) 7.65530 + 18.3970i 0.294435 + 0.707579i
\(27\) −10.2463 24.7366i −0.379491 0.916172i
\(28\) −3.86718 27.7317i −0.138114 0.990416i
\(29\) −17.1745 + 41.4630i −0.592225 + 1.42976i 0.289124 + 0.957292i \(0.406636\pi\)
−0.881349 + 0.472466i \(0.843364\pi\)
\(30\) −20.8306 20.7632i −0.694355 0.692105i
\(31\) 2.69268i 0.0868606i −0.999056 0.0434303i \(-0.986171\pi\)
0.999056 0.0434303i \(-0.0138286\pi\)
\(32\) 22.4431 22.8102i 0.701347 0.712820i
\(33\) 20.8492i 0.631795i
\(34\) −26.0568 + 26.1415i −0.766376 + 0.768867i
\(35\) 17.1479 + 29.4007i 0.489940 + 0.840020i
\(36\) 0.414908 0.417610i 0.0115252 0.0116003i
\(37\) −63.1550 + 26.1596i −1.70689 + 0.707017i −1.00000 0.000305477i \(-0.999903\pi\)
−0.706891 + 0.707323i \(0.749903\pi\)
\(38\) −13.9429 33.5073i −0.366919 0.881772i
\(39\) 21.3071 21.3071i 0.546335 0.546335i
\(40\) −14.7106 + 36.0094i −0.367766 + 0.900235i
\(41\) −4.62617 + 4.62617i −0.112833 + 0.112833i −0.761269 0.648436i \(-0.775423\pi\)
0.648436 + 0.761269i \(0.275423\pi\)
\(42\) −36.5408 + 21.3919i −0.870020 + 0.509331i
\(43\) 1.15439 + 2.78695i 0.0268463 + 0.0648127i 0.936734 0.350042i \(-0.113833\pi\)
−0.909888 + 0.414854i \(0.863833\pi\)
\(44\) 25.4411 10.6349i 0.578206 0.241702i
\(45\) −0.273843 + 0.661115i −0.00608540 + 0.0146915i
\(46\) 4.87136 0.00790397i 0.105899 0.000171825i
\(47\) 9.80819 0.208685 0.104342 0.994541i \(-0.466726\pi\)
0.104342 + 0.994541i \(0.466726\pi\)
\(48\) −44.8266 18.2278i −0.933887 0.379747i
\(49\) 47.2166 13.0993i 0.963604 0.267332i
\(50\) 0.00440728 + 2.71629i 8.81457e−5 + 0.0543258i
\(51\) 51.5668 + 21.3597i 1.01111 + 0.418817i
\(52\) −36.8682 15.1313i −0.709003 0.290987i
\(53\) 10.8678 + 26.2371i 0.205052 + 0.495040i 0.992631 0.121174i \(-0.0386658\pi\)
−0.787579 + 0.616213i \(0.788666\pi\)
\(54\) 49.5065 + 20.4122i 0.916787 + 0.378004i
\(55\) −23.7013 + 23.7013i −0.430933 + 0.430933i
\(56\) 44.7422 + 33.6769i 0.798968 + 0.601373i
\(57\) −38.8075 + 38.8075i −0.680833 + 0.680833i
\(58\) −34.4835 82.8701i −0.594544 1.42879i
\(59\) −30.6283 73.9432i −0.519124 1.25328i −0.938442 0.345436i \(-0.887731\pi\)
0.419319 0.907839i \(1.63773\pi\)
\(60\) 58.8223 0.190883i 0.980371 0.00318139i
\(61\) −25.7376 10.6609i −0.421928 0.174768i 0.161609 0.986855i \(-0.448332\pi\)
−0.583537 + 0.812087i \(0.698332\pi\)
\(62\) 3.81420 + 3.80184i 0.0615193 + 0.0613200i
\(63\) 0.820067 + 0.623531i 0.0130169 + 0.00989731i
\(64\) 0.623044 + 63.9970i 0.00973506 + 0.999953i
\(65\) 48.4435 0.745285
\(66\) −29.5331 29.4374i −0.447471 0.446021i
\(67\) 29.2049 70.5070i 0.435895 1.05234i −0.541458 0.840728i \(-0.682128\pi\)
0.977353 0.211615i \(-0.0678724\pi\)
\(68\) −0.239550 73.8192i −0.00352279 1.08558i
\(69\) −2.81906 6.80581i −0.0408559 0.0986349i
\(70\) −65.8577 17.2212i −0.940824 0.246018i
\(71\) 33.8344 33.8344i 0.476541 0.476541i −0.427483 0.904024i \(-0.640599\pi\)
0.904024 + 0.427483i \(0.140599\pi\)
\(72\) 0.00573093 + 1.17735i 7.95962e−5 + 0.0163521i
\(73\) 70.7687 70.7687i 0.969434 0.969434i −0.0301127 0.999547i \(-0.509587\pi\)
0.999547 + 0.0301127i \(0.00958661\pi\)
\(74\) 52.1143 126.395i 0.704247 1.70804i
\(75\) 3.79495 1.57192i 0.0505993 0.0209589i
\(76\) 67.1496 + 27.5593i 0.883548 + 0.362623i
\(77\) 24.3118 + 41.6834i 0.315737 + 0.541343i
\(78\) 0.0977829 + 60.2654i 0.00125363 + 0.772633i
\(79\) 89.2961i 1.13033i −0.824978 0.565165i \(-0.808812\pi\)
0.824978 0.565165i \(-0.191188\pi\)
\(80\) −30.2373 71.6800i −0.377967 0.896000i
\(81\) 82.3029i 1.01608i
\(82\) −0.0212305 13.0848i −0.000258909 0.159570i
\(83\) 54.0727 130.543i 0.651479 1.57281i −0.159154 0.987254i \(-0.550877\pi\)
0.810633 0.585555i \(-0.199123\pi\)
\(84\) 21.2909 81.9639i 0.253463 0.975761i
\(85\) 34.3394 + 82.9026i 0.403993 + 0.975324i
\(86\) −5.57763 2.29973i −0.0648562 0.0267411i
\(87\) −95.9784 + 95.9784i −1.10320 + 1.10320i
\(88\) −20.8563 + 51.0530i −0.237003 + 0.580148i
\(89\) −72.3174 72.3174i −0.812555 0.812555i 0.172461 0.985016i \(-0.444828\pi\)
−0.985016 + 0.172461i \(0.944828\pi\)
\(90\) −0.549830 1.32134i −0.00610923 0.0146816i
\(91\) 17.7531 67.4444i 0.195089 0.741147i
\(92\) −6.86676 + 6.91148i −0.0746387 + 0.0751247i
\(93\) 3.11650 7.52391i 0.0335108 0.0809022i
\(94\) −13.8483 + 13.8934i −0.147323 + 0.147802i
\(95\) −88.2324 −0.928762
\(96\) 89.1113 37.7609i 0.928242 0.393343i
\(97\) 108.153i 1.11498i 0.830185 + 0.557489i \(0.188235\pi\)
−0.830185 + 0.557489i \(0.811765\pi\)
\(98\) −48.1108 + 85.3777i −0.490926 + 0.871201i
\(99\) −0.388246 + 0.937309i −0.00392168 + 0.00946777i
\(100\) −3.85387 3.82893i −0.0385387 0.0382893i
\(101\) 67.0471 + 161.866i 0.663832 + 1.60263i 0.791748 + 0.610848i \(0.209171\pi\)
−0.127915 + 0.991785i \(0.540829\pi\)
\(102\) −103.064 + 42.8867i −1.01043 + 0.420457i
\(103\) 33.5902 + 33.5902i 0.326119 + 0.326119i 0.851109 0.524990i \(-0.175931\pi\)
−0.524990 + 0.851109i \(0.675931\pi\)
\(104\) 73.4884 30.8598i 0.706619 0.296729i
\(105\) 13.8864 + 101.999i 0.132252 + 0.971415i
\(106\) −52.5094 21.6504i −0.495372 0.204249i
\(107\) −28.1712 68.0112i −0.263282 0.635619i 0.735856 0.677138i \(-0.236780\pi\)
−0.999138 + 0.0415197i \(0.986780\pi\)
\(108\) −98.8131 + 41.3059i −0.914936 + 0.382462i
\(109\) −127.290 52.7253i −1.16780 0.483718i −0.287334 0.957830i \(-0.592769\pi\)
−0.880464 + 0.474113i \(0.842769\pi\)
\(110\) −0.108771 67.0373i −0.000988823 0.609430i
\(111\) −206.745 −1.86257
\(112\) −110.876 + 15.8286i −0.989963 + 0.141327i
\(113\) 16.9678i 0.150157i 0.997178 + 0.0750786i \(0.0239208\pi\)
−0.997178 + 0.0750786i \(0.976079\pi\)
\(114\) −0.178096 109.764i −0.00156225 0.962842i
\(115\) 4.53212 10.9415i 0.0394097 0.0951435i
\(116\) 166.074 + 68.1595i 1.43167 + 0.587582i
\(117\) 1.35466 0.561120i 0.0115783 0.00479590i
\(118\) 147.986 + 61.0165i 1.25412 + 0.517089i
\(119\) 128.004 17.4268i 1.07566 0.146444i
\(120\) −82.7818 + 83.5916i −0.689848 + 0.696597i
\(121\) 51.9569 51.9569i 0.429396 0.429396i
\(122\) 51.4405 21.4052i 0.421644 0.175453i
\(123\) −18.2808 + 7.57216i −0.148624 + 0.0615623i
\(124\) −10.7707 + 0.0349517i −0.0868602 + 0.000281868i
\(125\) 118.405 + 49.0451i 0.947242 + 0.392361i
\(126\) −2.04110 + 0.281257i −0.0161992 + 0.00223220i
\(127\) −178.949 −1.40904 −0.704522 0.709682i \(-0.748839\pi\)
−0.704522 + 0.709682i \(0.748839\pi\)
\(128\) −91.5318 89.4759i −0.715092 0.699030i
\(129\) 9.12340i 0.0707240i
\(130\) −68.3983 + 68.6206i −0.526141 + 0.527851i
\(131\) 56.9742 + 23.5995i 0.434918 + 0.180149i 0.589391 0.807848i \(-0.299368\pi\)
−0.154473 + 0.987997i \(0.549368\pi\)
\(132\) 83.3965 0.270628i 0.631791 0.00205022i
\(133\) −32.3346 + 122.839i −0.243117 + 0.923605i
\(134\) 58.6386 + 140.919i 0.437602 + 1.05163i
\(135\) 92.0558 92.0558i 0.681895 0.681895i
\(136\) 104.904 + 103.887i 0.771350 + 0.763877i
\(137\) −77.2919 77.2919i −0.564175 0.564175i 0.366316 0.930491i \(-0.380619\pi\)
−0.930491 + 0.366316i \(0.880619\pi\)
\(138\) 13.6207 + 5.61602i 0.0987011 + 0.0406958i
\(139\) −103.517 + 42.8781i −0.744725 + 0.308475i −0.722587 0.691280i \(-0.757047\pi\)
−0.0221379 + 0.999755i \(0.507047\pi\)
\(140\) 117.380 68.9728i 0.838425 0.492663i
\(141\) 27.4061 + 11.3520i 0.194370 + 0.0805105i
\(142\) 0.155274 + 95.6981i 0.00109348 + 0.673930i
\(143\) 68.6818 0.480292
\(144\) −1.67582 1.65420i −0.0116376 0.0114875i
\(145\) −218.216 −1.50493
\(146\) 0.324773 + 200.164i 0.00222447 + 1.37098i
\(147\) 147.094 + 18.0464i 1.00064 + 0.122765i
\(148\) 105.458 + 252.279i 0.712553 + 1.70459i
\(149\) 29.7091 + 71.7241i 0.199390 + 0.481370i 0.991673 0.128784i \(-0.0411075\pi\)
−0.792283 + 0.610154i \(0.791107\pi\)
\(150\) −3.13152 + 7.59498i −0.0208768 + 0.0506332i
\(151\) −90.0549 90.0549i −0.596390 0.596390i 0.342960 0.939350i \(-0.388571\pi\)
−0.939350 + 0.342960i \(0.888571\pi\)
\(152\) −133.848 + 56.2064i −0.880577 + 0.369779i
\(153\) 1.92052 + 1.92052i 0.0125524 + 0.0125524i
\(154\) −93.3710 24.4158i −0.606305 0.158544i
\(155\) 12.0960 5.01031i 0.0780385 0.0323246i
\(156\) −85.5044 84.9512i −0.548105 0.544559i
\(157\) 177.979 + 73.7215i 1.13363 + 0.469563i 0.869012 0.494791i \(-0.164755\pi\)
0.264614 + 0.964354i \(0.414755\pi\)
\(158\) 126.489 + 126.079i 0.800560 + 0.797967i
\(159\) 85.8903i 0.540190i
\(160\) 144.228 + 58.3748i 0.901423 + 0.364843i
\(161\) −13.5722 10.3195i −0.0842992 0.0640961i
\(162\) 116.583 + 116.205i 0.719645 + 0.717314i
\(163\) −21.6782 + 52.3359i −0.132995 + 0.321079i −0.976322 0.216322i \(-0.930594\pi\)
0.843327 + 0.537401i \(0.180594\pi\)
\(164\) 18.5646 + 18.4445i 0.113199 + 0.112467i
\(165\) −93.6583 + 38.7945i −0.567626 + 0.235118i
\(166\) 108.569 + 260.910i 0.654030 + 1.57175i
\(167\) −168.495 168.495i −1.00895 1.00895i −0.999960 0.00899546i \(-0.997137\pi\)
−0.00899546 0.999960i \(1.49714\pi\)
\(168\) 86.0414 + 145.885i 0.512151 + 0.868362i
\(169\) 49.3110 + 49.3110i 0.291781 + 0.291781i
\(170\) −165.916 68.4096i −0.975978 0.402410i
\(171\) −2.46731 + 1.02199i −0.0144287 + 0.00597657i
\(172\) 11.1327 4.65371i 0.0647252 0.0270565i
\(173\) 50.4636 121.830i 0.291697 0.704220i −0.708301 0.705910i \(-0.750538\pi\)
0.999999 + 0.00169064i \(0.000538147\pi\)
\(174\) −0.440466 271.467i −0.00253141 1.56016i
\(175\) 5.75418 7.56790i 0.0328810 0.0432451i
\(176\) −42.8696 101.626i −0.243577 0.577419i
\(177\) 242.062i 1.36758i
\(178\) 204.544 0.331881i 1.14912 0.00186450i
\(179\) −22.2421 9.21300i −0.124258 0.0514693i 0.319688 0.947523i \(-0.396422\pi\)
−0.443946 + 0.896054i \(0.646422\pi\)
\(180\) 2.64800 + 1.08678i 0.0147111 + 0.00603769i
\(181\) −50.6351 + 20.9738i −0.279752 + 0.115877i −0.518148 0.855291i \(-0.673378\pi\)
0.238396 + 0.971168i \(0.423378\pi\)
\(182\) 70.4695 + 120.373i 0.387195 + 0.661392i
\(183\) −59.5773 59.5773i −0.325559 0.325559i
\(184\) −0.0948473 19.4852i −0.000515474 0.105898i
\(185\) −235.027 235.027i −1.27042 1.27042i
\(186\) 6.25741 + 15.0377i 0.0336420 + 0.0808477i
\(187\) 48.6853 + 117.537i 0.260349 + 0.628539i
\(188\) −0.127313 39.2325i −0.000677196 0.208684i
\(189\) −94.4268 161.898i −0.499613 0.856605i
\(190\) 124.577 124.982i 0.655667 0.657799i
\(191\) −240.133 −1.25724 −0.628621 0.777711i \(-0.716380\pi\)
−0.628621 + 0.777711i \(0.716380\pi\)
\(192\) −72.3291 + 179.542i −0.376714 + 0.935114i
\(193\) −237.252 −1.22928 −0.614642 0.788806i \(-0.710700\pi\)
−0.614642 + 0.788806i \(0.710700\pi\)
\(194\) −153.199 152.703i −0.789686 0.787128i
\(195\) 135.361 + 56.0685i 0.694161 + 0.287531i
\(196\) −53.0097 188.695i −0.270458 0.962732i
\(197\) −142.584 + 59.0603i −0.723777 + 0.299798i −0.713992 0.700154i \(-0.753115\pi\)
−0.00978503 + 0.999952i \(0.503115\pi\)
\(198\) −0.779533 1.87336i −0.00393704 0.00946140i
\(199\) −7.17452 7.17452i −0.0360529 0.0360529i 0.688851 0.724903i \(-0.258116\pi\)
−0.724903 + 0.688851i \(0.758116\pi\)
\(200\) 10.8650 0.0528872i 0.0543252 0.000264436i
\(201\) 163.209 163.209i 0.811987 0.811987i
\(202\) −323.949 133.569i −1.60371 0.661231i
\(203\) −79.9695 + 303.806i −0.393939 + 1.49658i
\(204\) 84.7690 206.544i 0.415534 1.01247i
\(205\) −29.3895 12.1735i −0.143364 0.0593832i
\(206\) −95.0074 + 0.154153i −0.461201 + 0.000748316i
\(207\) 0.358461i 0.00173170i
\(208\) −60.0464 + 147.668i −0.288685 + 0.709944i
\(209\) −125.093 −0.598532
\(210\) −164.088 124.343i −0.781372 0.592111i
\(211\) 246.417 + 102.069i 1.16785 + 0.483740i 0.880482 0.474079i \(-0.157219\pi\)
0.287370 + 0.957820i \(0.407219\pi\)
\(212\) 104.807 43.8114i 0.494372 0.206657i
\(213\) 133.700 55.3805i 0.627701 0.260002i
\(214\) 136.114 + 56.1215i 0.636045 + 0.262250i
\(215\) −10.3714 + 10.3714i −0.0482392 + 0.0482392i
\(216\) 81.0058 198.290i 0.375027 0.918008i
\(217\) −2.54268 18.6765i −0.0117174 0.0860667i
\(218\) 254.409 105.863i 1.16701 0.485612i
\(219\) 279.650 115.835i 1.27694 0.528926i
\(220\) 95.1124 + 94.4971i 0.432329 + 0.429532i
\(221\) 70.3634 169.872i 0.318386 0.768653i
\(222\) 291.907 292.856i 1.31490 1.31917i
\(223\) 90.6780i 0.406628i 0.979114 + 0.203314i \(0.0651712\pi\)
−0.979114 + 0.203314i \(0.934829\pi\)
\(224\) 134.126 179.405i 0.598778 0.800915i
\(225\) 0.199879 0.000888353
\(226\) −24.0349 23.9571i −0.106349 0.106005i
\(227\) 273.601 + 113.329i 1.20529 + 0.499248i 0.892705 0.450641i \(-0.148805\pi\)
0.312586 + 0.949889i \(0.398805\pi\)
\(228\) 155.733 + 154.725i 0.683039 + 0.678620i
\(229\) −101.693 245.509i −0.444075 1.07209i −0.974506 0.224363i \(-0.927970\pi\)
0.530431 0.847728i \(1.67797\pi\)
\(230\) 9.09973 + 21.8683i 0.0395641 + 0.0950795i
\(231\) 19.6878 + 144.611i 0.0852285 + 0.626020i
\(232\) −331.031 + 139.009i −1.42686 + 0.599177i
\(233\) 298.793 + 298.793i 1.28237 + 1.28237i 0.939313 + 0.343062i \(0.111464\pi\)
0.343062 + 0.939313i \(0.388536\pi\)
\(234\) −1.11784 + 2.71115i −0.00477711 + 0.0115861i
\(235\) 18.2503 + 44.0600i 0.0776607 + 0.187490i
\(236\) −295.374 + 123.472i −1.25158 + 0.523188i
\(237\) 103.351 249.512i 0.436081 1.05279i
\(238\) −156.045 + 205.923i −0.655652 + 0.865223i
\(239\) 277.379i 1.16058i −0.814410 0.580290i \(-0.802939\pi\)
0.814410 0.580290i \(-0.197061\pi\)
\(240\) −1.52706 235.285i −0.00636274 0.980356i
\(241\) −298.909 −1.24028 −0.620142 0.784489i \(-0.712925\pi\)
−0.620142 + 0.784489i \(0.712925\pi\)
\(242\) 0.238442 + 146.956i 0.000985297 + 0.607257i
\(243\) 3.04096 7.34154i 0.0125143 0.0302121i
\(244\) −42.3091 + 103.088i −0.173398 + 0.422493i
\(245\) 146.701 + 187.731i 0.598779 + 0.766249i
\(246\) 15.0850 36.5861i 0.0613210 0.148724i
\(247\) 127.840 + 127.840i 0.517572 + 0.517572i
\(248\) 15.1578 15.3061i 0.0611200 0.0617180i
\(249\) 302.181 302.181i 1.21358 1.21358i
\(250\) −236.651 + 98.4742i −0.946604 + 0.393897i
\(251\) 141.027 + 340.469i 0.561861 + 1.35645i 0.908277 + 0.418370i \(0.137399\pi\)
−0.346416 + 0.938081i \(0.612601\pi\)
\(252\) 2.48346 3.28834i 0.00985502 0.0130490i
\(253\) 6.42550 15.5125i 0.0253973 0.0613144i
\(254\) 252.661 253.482i 0.994727 0.997960i
\(255\) 271.391i 1.06428i
\(256\) 255.978 3.32286i 0.999916 0.0129799i
\(257\) 56.8547i 0.221225i 0.993864 + 0.110612i \(0.0352812\pi\)
−0.993864 + 0.110612i \(0.964719\pi\)
\(258\) −12.9233 12.8815i −0.0500905 0.0499282i
\(259\) −413.341 + 241.080i −1.59591 + 0.930813i
\(260\) −0.628810 193.773i −0.00241850 0.745281i
\(261\) −6.10213 + 2.52758i −0.0233798 + 0.00968423i
\(262\) −113.872 + 47.3838i −0.434625 + 0.180854i
\(263\) −183.481 + 183.481i −0.697648 + 0.697648i −0.963903 0.266255i \(-0.914214\pi\)
0.266255 + 0.963903i \(0.414214\pi\)
\(264\) −117.366 + 118.514i −0.444566 + 0.448916i
\(265\) −97.6397 + 97.6397i −0.368452 + 0.368452i
\(266\) −128.349 219.241i −0.482516 0.824215i
\(267\) −118.370 285.770i −0.443333 1.07030i
\(268\) −282.405 115.904i −1.05375 0.432477i
\(269\) −106.389 + 256.846i −0.395498 + 0.954817i 0.593222 + 0.805039i \(0.297856\pi\)
−0.988720 + 0.149777i \(0.952144\pi\)
\(270\) 0.422465 + 260.373i 0.00156468 + 0.964344i
\(271\) 481.642 1.77728 0.888638 0.458610i \(-0.151653\pi\)
0.888638 + 0.458610i \(0.151653\pi\)
\(272\) −295.272 + 1.91639i −1.08556 + 0.00704554i
\(273\) 127.666 167.906i 0.467641 0.615041i
\(274\) 218.614 0.354710i 0.797862 0.00129456i
\(275\) 8.64985 + 3.58289i 0.0314540 + 0.0130287i
\(276\) −27.1865 + 11.3645i −0.0985018 + 0.0411758i
\(277\) −105.701 255.184i −0.381591 0.921242i −0.991659 0.128893i \(-0.958858\pi\)
0.610068 0.792349i \(-0.291142\pi\)
\(278\) 85.4201 207.172i 0.307267 0.745225i
\(279\) 0.280215 0.280215i 0.00100435 0.00100435i
\(280\) −68.0298 + 263.653i −0.242963 + 0.941617i
\(281\) 106.402 106.402i 0.378653 0.378653i −0.491963 0.870616i \(-0.663720\pi\)
0.870616 + 0.491963i \(0.163720\pi\)
\(282\) −54.7753 + 22.7929i −0.194239 + 0.0808258i
\(283\) −129.222 311.970i −0.456616 1.10237i −0.969759 0.244066i \(-0.921519\pi\)
0.513142 0.858303i \(1.67152\pi\)
\(284\) −135.776 134.898i −0.478085 0.474992i
\(285\) −246.540 102.120i −0.865051 0.358316i
\(286\) −96.9730 + 97.2882i −0.339067 + 0.340169i
\(287\) −27.7187 + 36.4557i −0.0965810 + 0.127023i
\(288\) 4.70930 0.0382059i 0.0163518 0.000132659i
\(289\) 51.5836 0.178490
\(290\) 308.102 309.104i 1.06242 1.06587i
\(291\) −125.176 + 302.201i −0.430158 + 1.03849i
\(292\) −283.992 282.155i −0.972575 0.966283i
\(293\) 188.644 + 455.427i 0.643837 + 1.55436i 0.821463 + 0.570262i \(0.193158\pi\)
−0.177626 + 0.984098i \(0.556842\pi\)
\(294\) −233.248 + 182.880i −0.793359 + 0.622040i
\(295\) 275.175 275.175i 0.932796 0.932796i
\(296\) −506.252 206.815i −1.71031 0.698700i
\(297\) 130.514 130.514i 0.439441 0.439441i
\(298\) −143.544 59.1854i −0.481693 0.198609i
\(299\) −22.4198 + 9.28658i −0.0749826 + 0.0310588i
\(300\) −6.33690 15.1593i −0.0211230 0.0505310i
\(301\) 10.6386 + 18.2402i 0.0353441 + 0.0605987i
\(302\) 254.713 0.413282i 0.843422 0.00136848i
\(303\) 529.887i 1.74880i
\(304\) 109.365 268.955i 0.359754 0.884720i
\(305\) 135.454i 0.444113i
\(306\) −5.43203 + 0.00881368i −0.0177517 + 2.88029e-5i
\(307\) 206.101 497.572i 0.671338 1.62075i −0.108000 0.994151i \(-0.534445\pi\)
0.779338 0.626603i \(-0.215555\pi\)
\(308\) 166.417 97.7876i 0.540316 0.317492i
\(309\) 54.9808 + 132.735i 0.177931 + 0.429564i
\(310\) −9.98136 + 24.2082i −0.0321979 + 0.0780909i
\(311\) 72.8833 72.8833i 0.234351 0.234351i −0.580155 0.814506i \(-0.697008\pi\)
0.814506 + 0.580155i \(0.197008\pi\)
\(312\) 241.059 1.17339i 0.772625 0.00376087i
\(313\) 410.097 + 410.097i 1.31021 + 1.31021i 0.921255 + 0.388960i \(0.127166\pi\)
0.388960 + 0.921255i \(0.372834\pi\)
\(314\) −355.719 + 148.020i −1.13286 + 0.471402i
\(315\) −1.27509 + 4.84409i −0.00404791 + 0.0153781i
\(316\) −357.183 + 1.15909i −1.13032 + 0.00366800i
\(317\) 35.1735 84.9163i 0.110957 0.267875i −0.858641 0.512578i \(-0.828691\pi\)
0.969598 + 0.244703i \(0.0786905\pi\)
\(318\) −121.664 121.270i −0.382591 0.381352i
\(319\) −309.380 −0.969842
\(320\) −286.326 + 121.879i −0.894768 + 0.380872i
\(321\) 222.643i 0.693591i
\(322\) 33.7804 4.65482i 0.104908 0.0144560i
\(323\) −128.156 + 309.396i −0.396768 + 0.957882i
\(324\) −329.210 + 1.06831i −1.01608 + 0.00329726i
\(325\) −5.17823 12.5014i −0.0159330 0.0384657i
\(326\) −43.5263 104.601i −0.133516 0.320863i
\(327\) −294.651 294.651i −0.901072 0.901072i
\(328\) −52.3385 + 0.254765i −0.159569 + 0.000776724i
\(329\) 68.0297 9.26181i 0.206777 0.0281514i
\(330\) 77.2850 187.442i 0.234197 0.568007i
\(331\) −125.459 302.885i −0.379030 0.915060i −0.992148 0.125068i \(-0.960085\pi\)
0.613118 0.789991i \(-0.289915\pi\)
\(332\) −522.871 214.595i −1.57491 0.646371i
\(333\) −9.29455 3.84993i −0.0279116 0.0115614i
\(334\) 476.577 0.773263i 1.42688 0.00231516i
\(335\) 371.071 1.10768
\(336\) −328.130 84.0991i −0.976578 0.250295i
\(337\) 151.596i 0.449839i 0.974377 + 0.224919i \(0.0722119\pi\)
−0.974377 + 0.224919i \(0.927788\pi\)
\(338\) −139.472 + 0.226299i −0.412640 + 0.000669524i
\(339\) −19.6385 + 47.4114i −0.0579306 + 0.139857i
\(340\) 331.163 138.433i 0.974008 0.407155i
\(341\) 17.1493 7.10347i 0.0502912 0.0208313i
\(342\) 2.03598 4.93793i 0.00595315 0.0144384i
\(343\) 315.126 135.443i 0.918734 0.394878i
\(344\) −9.12649 + 22.3403i −0.0265305 + 0.0649426i
\(345\) 25.3274 25.3274i 0.0734127 0.0734127i
\(346\) 101.322 + 243.496i 0.292840 + 0.703745i
\(347\) −242.136 + 100.296i −0.697798 + 0.289037i −0.703245 0.710948i \(-0.748266\pi\)
0.00544685 + 0.999985i \(0.498266\pi\)
\(348\) 385.157 + 382.666i 1.10677 + 1.09961i
\(349\) −265.623 110.025i −0.761098 0.315257i −0.0318374 0.999493i \(-0.510136\pi\)
−0.729261 + 0.684236i \(0.760136\pi\)
\(350\) 2.59554 + 18.8361i 0.00741584 + 0.0538174i
\(351\) −266.760 −0.760000
\(352\) 204.482 + 82.7621i 0.580914 + 0.235120i
\(353\) 218.450i 0.618838i −0.950926 0.309419i \(-0.899865\pi\)
0.950926 0.309419i \(-0.100135\pi\)
\(354\) 342.882 + 341.771i 0.968594 + 0.965456i
\(355\) 214.946 + 89.0336i 0.605482 + 0.250799i
\(356\) −288.329 + 290.207i −0.809914 + 0.815188i
\(357\) 377.838 + 99.4569i 1.05837 + 0.278591i
\(358\) 44.4543 18.4982i 0.124174 0.0516708i
\(359\) −172.506 + 172.506i −0.480517 + 0.480517i −0.905297 0.424780i \(-0.860352\pi\)
0.424780 + 0.905297i \(0.360352\pi\)
\(360\) −5.27820 + 2.21646i −0.0146617 + 0.00615684i
\(361\) 22.4245 + 22.4245i 0.0621177 + 0.0621177i
\(362\) 41.7831 101.338i 0.115423 0.279940i
\(363\) 205.313 85.0436i 0.565601 0.234280i
\(364\) −270.007 70.1367i −0.741776 0.192683i
\(365\) 449.585 + 186.224i 1.23174 + 0.510204i
\(366\) 168.510 0.273414i 0.460410 0.000747032i
\(367\) −440.096 −1.19917 −0.599586 0.800310i \(-0.704668\pi\)
−0.599586 + 0.800310i \(0.704668\pi\)
\(368\) 27.7349 + 27.3772i 0.0753665 + 0.0743946i
\(369\) −0.962848 −0.00260934
\(370\) 664.756 1.07859i 1.79664 0.00291511i
\(371\) 100.154 + 171.719i 0.269958 + 0.462853i
\(372\) −30.1359 12.3683i −0.0810105 0.0332481i
\(373\) 156.000 + 376.618i 0.418232 + 1.00970i 0.982860 + 0.184355i \(0.0590197\pi\)
−0.564628 + 0.825346i \(0.690980\pi\)
\(374\) −235.231 96.9891i −0.628960 0.259329i
\(375\) 274.084 + 274.084i 0.730891 + 0.730891i
\(376\) 55.7529 + 55.2128i 0.148279 + 0.146842i
\(377\) 316.173 + 316.173i 0.838656 + 0.838656i
\(378\) 362.653 + 94.8308i 0.959399 + 0.250875i
\(379\) 15.6501 6.48247i 0.0412931 0.0171042i −0.361941 0.932201i \(-0.617886\pi\)
0.403234 + 0.915097i \(0.367886\pi\)
\(380\) 1.14528 + 352.928i 0.00301389 + 0.928757i
\(381\) −500.020 207.115i −1.31239 0.543609i
\(382\) 339.048 340.150i 0.887561 0.890446i
\(383\) 494.019i 1.28987i 0.764239 + 0.644933i \(0.223115\pi\)
−0.764239 + 0.644933i \(0.776885\pi\)
\(384\) −152.200 355.953i −0.396353 0.926961i
\(385\) −142.012 + 186.774i −0.368861 + 0.485126i
\(386\) 334.980 336.069i 0.867824 0.870644i
\(387\) −0.169892 + 0.410156i −0.000438998 + 0.00105984i
\(388\) 432.609 1.40385i 1.11497 0.00361818i
\(389\) −676.486 + 280.209i −1.73904 + 0.720333i −0.740187 + 0.672401i \(0.765263\pi\)
−0.998851 + 0.0479314i \(0.984737\pi\)
\(390\) −270.540 + 112.576i −0.693693 + 0.288657i
\(391\) −31.7847 31.7847i −0.0812907 0.0812907i
\(392\) 342.134 + 191.334i 0.872790 + 0.488096i
\(393\) 131.884 + 131.884i 0.335582 + 0.335582i
\(394\) 117.658 285.359i 0.298624 0.724263i
\(395\) 401.133 166.155i 1.01553 0.420645i
\(396\) 3.75426 + 1.54081i 0.00948045 + 0.00389094i
\(397\) −55.2516 + 133.389i −0.139173 + 0.335993i −0.978064 0.208307i \(-0.933205\pi\)
0.838891 + 0.544300i \(0.183205\pi\)
\(398\) 20.2926 0.0329255i 0.0509864 8.27274e-5i
\(399\) −232.524 + 305.815i −0.582766 + 0.766454i
\(400\) −15.2656 + 15.4651i −0.0381641 + 0.0386627i
\(401\) 249.583i 0.622400i 0.950344 + 0.311200i \(0.100731\pi\)
−0.950344 + 0.311200i \(0.899269\pi\)
\(402\) 0.749004 + 461.625i 0.00186319 + 1.14832i
\(403\) −24.7854 10.2664i −0.0615021 0.0254750i
\(404\) 646.590 270.288i 1.60047 0.669030i
\(405\) 369.718 153.142i 0.912885 0.378129i
\(406\) −317.432 542.226i −0.781852 1.33553i
\(407\) −333.214 333.214i −0.818708 0.818708i
\(408\) 172.884 + 411.698i 0.423734 + 1.00906i
\(409\) −416.788 416.788i −1.01904 1.01904i −0.999815 0.0192276i \(-0.993879\pi\)
−0.0192276 0.999815i \(1.49388\pi\)
\(410\) 58.7395 24.4424i 0.143267 0.0596157i
\(411\) −126.512 305.427i −0.307815 0.743132i
\(412\) 133.924 134.796i 0.325059 0.327175i
\(413\) −282.262 483.949i −0.683444 1.17179i
\(414\) 0.507762 + 0.506117i 0.00122648 + 0.00122251i
\(415\) 687.036 1.65551
\(416\) −124.393 293.552i −0.299021 0.705653i
\(417\) −338.875 −0.812649
\(418\) 176.621 177.195i 0.422539 0.423912i
\(419\) 122.245 + 50.6356i 0.291755 + 0.120849i 0.523760 0.851866i \(-0.324529\pi\)
−0.232006 + 0.972714i \(0.574529\pi\)
\(420\) 407.812 56.8695i 0.970981 0.135403i
\(421\) 187.554 77.6873i 0.445496 0.184530i −0.148647 0.988890i \(-0.547492\pi\)
0.594142 + 0.804360i \(0.297492\pi\)
\(422\) −492.502 + 204.938i −1.16707 + 0.485635i
\(423\) 1.02069 + 1.02069i 0.00241298 + 0.00241298i
\(424\) −85.9194 + 210.318i −0.202640 + 0.496032i
\(425\) 17.7233 17.7233i 0.0417018 0.0417018i
\(426\) −110.327 + 267.580i −0.258983 + 0.628122i
\(427\) −188.583 49.6401i −0.441647 0.116253i
\(428\) −271.678 + 113.567i −0.634761 + 0.265343i
\(429\) 191.911 + 79.4923i 0.447346 + 0.185297i
\(430\) −0.0475968 29.3348i −0.000110690 0.0682205i
\(431\) 372.076i 0.863285i 0.902045 + 0.431642i \(0.142066\pi\)
−0.902045 + 0.431642i \(0.857934\pi\)
\(432\) 166.505 + 394.714i 0.385429 + 0.913690i
\(433\) 3.47840 0.00803326 0.00401663 0.999992i \(-0.498721\pi\)
0.00401663 + 0.999992i \(0.498721\pi\)
\(434\) 30.0454 + 22.7679i 0.0692290 + 0.0524606i
\(435\) −609.740 252.562i −1.40170 0.580603i
\(436\) −209.248 + 509.842i −0.479926 + 1.16936i
\(437\) 40.8342 16.9141i 0.0934420 0.0387049i
\(438\) −230.762 + 559.675i −0.526853 + 1.27780i
\(439\) 61.4292 61.4292i 0.139930 0.139930i −0.633672 0.773602i \(-0.718453\pi\)
0.773602 + 0.633672i \(0.218453\pi\)
\(440\) −268.147 + 1.30524i −0.609424 + 0.00296646i
\(441\) 6.27679 + 3.55043i 0.0142331 + 0.00805087i
\(442\) 141.278 + 339.516i 0.319633 + 0.768135i
\(443\) −296.808 + 122.942i −0.669995 + 0.277521i −0.691637 0.722245i \(-0.743110\pi\)
0.0216428 + 0.999766i \(0.493110\pi\)
\(444\) 2.68361 + 826.977i 0.00604416 + 1.86256i
\(445\) 190.300 459.424i 0.427640 1.03241i
\(446\) −128.446 128.030i −0.287995 0.287062i
\(447\) 234.797i 0.525274i
\(448\) 64.7534 + 443.296i 0.144539 + 0.989499i
\(449\) −648.742 −1.44486 −0.722430 0.691444i \(-0.756975\pi\)
−0.722430 + 0.691444i \(0.756975\pi\)
\(450\) −0.282213 + 0.283130i −0.000627140 + 0.000629179i
\(451\) −41.6676 17.2593i −0.0923894 0.0382689i
\(452\) 67.8707 0.220246i 0.150156 0.000487270i
\(453\) −147.403 355.862i −0.325392 0.785567i
\(454\) −546.834 + 227.546i −1.20448 + 0.501203i
\(455\) 336.005 45.7449i 0.738473 0.100538i
\(456\) −439.052 + 2.13715i −0.962832 + 0.00468673i
\(457\) 83.0513 + 83.0513i 0.181731 + 0.181731i 0.792110 0.610378i \(-0.208983\pi\)
−0.610378 + 0.792110i \(0.708983\pi\)
\(458\) 491.347 + 202.589i 1.07281 + 0.442335i
\(459\) −189.094 456.513i −0.411969 0.994581i
\(460\) −43.8246 17.9864i −0.0952709 0.0391008i
\(461\) 114.561 276.576i 0.248506 0.599947i −0.749571 0.661923i \(-0.769740\pi\)
0.998078 + 0.0619765i \(0.0197404\pi\)
\(462\) −232.639 176.290i −0.503548 0.381581i
\(463\) 312.147i 0.674184i −0.941472 0.337092i \(-0.890557\pi\)
0.941472 0.337092i \(-0.109443\pi\)
\(464\) 270.481 665.177i 0.582933 1.43357i
\(465\) 39.5976 0.0851561
\(466\) −845.114 + 1.37123i −1.81355 + 0.00294255i
\(467\) −301.498 + 727.881i −0.645606 + 1.55863i 0.173403 + 0.984851i \(0.444524\pi\)
−0.819009 + 0.573781i \(0.805476\pi\)
\(468\) −2.26205 5.41134i −0.00483345 0.0115627i
\(469\) 135.987 516.615i 0.289950 1.10153i
\(470\) −88.1792 36.3575i −0.187615 0.0773564i
\(471\) 411.986 + 411.986i 0.874705 + 0.874705i
\(472\) 242.144 592.731i 0.513017 1.25579i
\(473\) −14.7043 + 14.7043i −0.0310873 + 0.0310873i
\(474\) 207.512 + 498.688i 0.437789 + 1.05208i
\(475\) 9.43135 + 22.7693i 0.0198555 + 0.0479353i
\(476\) −71.3685 511.785i −0.149934 1.07518i
\(477\) −1.59942 + 3.86133i −0.00335307 + 0.00809503i
\(478\) 392.908 + 391.635i 0.821984 + 0.819321i
\(479\) 519.705i 1.08498i 0.840063 + 0.542489i \(0.182518\pi\)
−0.840063 + 0.542489i \(0.817482\pi\)
\(480\) 335.439 + 330.040i 0.698832 + 0.687584i
\(481\) 681.063i 1.41593i
\(482\) 422.034 423.406i 0.875590 0.878436i
\(483\) −25.9797 44.5432i −0.0537882 0.0922219i
\(484\) −208.501 207.152i −0.430787 0.428000i
\(485\) −485.841 + 201.242i −1.00173 + 0.414932i
\(486\) 6.10574 + 14.6732i 0.0125633 + 0.0301917i
\(487\) 576.480 576.480i 1.18374 1.18374i 0.204968 0.978769i \(-0.434291\pi\)
0.978769 0.204968i \(-0.0657089\pi\)
\(488\) −86.2881 205.483i −0.176820 0.421072i
\(489\) −121.147 + 121.147i −0.247745 + 0.247745i
\(490\) −473.052 57.2579i −0.965412 0.116853i
\(491\) −166.968 403.095i −0.340056 0.820968i −0.997709 0.0676473i \(-0.978451\pi\)
0.657653 0.753321i \(-0.271549\pi\)
\(492\) 30.5258 + 73.0246i 0.0620442 + 0.148424i
\(493\) −316.954 + 765.195i −0.642909 + 1.55212i
\(494\) −361.586 + 0.586687i −0.731956 + 0.00118763i
\(495\) −4.93297 −0.00996559
\(496\) 0.279612 + 43.0820i 0.000563734 + 0.0868588i
\(497\) 202.726 266.626i 0.407900 0.536470i
\(498\) 1.38678 + 854.695i 0.00278469 + 1.71626i
\(499\) 342.105 + 141.704i 0.685581 + 0.283977i 0.698158 0.715944i \(-0.254003\pi\)
−0.0125767 + 0.999921i \(0.504003\pi\)
\(500\) 194.642 474.255i 0.389285 0.948510i
\(501\) −275.795 665.828i −0.550489 1.32900i
\(502\) −681.395 280.949i −1.35736 0.559659i
\(503\) −46.8393 + 46.8393i −0.0931198 + 0.0931198i −0.752132 0.659012i \(-0.770974\pi\)
0.659012 + 0.752132i \(0.270974\pi\)
\(504\) 1.15151 + 8.16071i 0.00228475 + 0.0161919i
\(505\) −602.374 + 602.374i −1.19282 + 1.19282i
\(506\) 12.9013 + 31.0042i 0.0254967 + 0.0612731i
\(507\) 80.7127 + 194.858i 0.159197 + 0.384335i
\(508\) 2.32280 + 715.791i 0.00457244 + 1.40904i
\(509\) 505.608 + 209.430i 0.993335 + 0.411453i 0.819349 0.573295i \(-0.194335\pi\)
0.173986 + 0.984748i \(0.444335\pi\)
\(510\) −384.428 383.182i −0.753780 0.751337i
\(511\) 424.026 557.679i 0.829797 1.09135i
\(512\) −356.713 + 367.287i −0.696706 + 0.717357i
\(513\) 485.862 0.947099
\(514\) −80.5351 80.2741i −0.156683 0.156175i
\(515\) −88.3911 + 213.395i −0.171633 + 0.414359i
\(516\) 36.4934 0.118424i 0.0707236 0.000229504i
\(517\) 25.8747 + 62.4670i 0.0500477 + 0.120826i
\(518\) 242.112 925.886i 0.467397 1.78743i
\(519\) 282.012 282.012i 0.543375 0.543375i
\(520\) 275.369 + 272.701i 0.529555 + 0.524425i
\(521\) 275.780 275.780i 0.529328 0.529328i −0.391044 0.920372i \(-0.627886\pi\)
0.920372 + 0.391044i \(0.127886\pi\)
\(522\) 5.03536 12.2124i 0.00964629 0.0233955i
\(523\) −580.923 + 240.626i −1.11075 + 0.460089i −0.861197 0.508272i \(-0.830285\pi\)
−0.249556 + 0.968360i \(0.580285\pi\)
\(524\) 93.6580 228.202i 0.178737 0.435500i
\(525\) 24.8375 14.4864i 0.0473094 0.0275931i
\(526\) −0.842037 518.963i −0.00160083 0.986622i
\(527\) 49.6931i 0.0942944i
\(528\) −2.16502 333.581i −0.00410041 0.631781i
\(529\) 523.067i 0.988785i
\(530\) −0.448090 276.166i −0.000845453 0.521069i
\(531\) 4.50758 10.8823i 0.00848886 0.0204939i
\(532\) 491.775 + 127.743i 0.924389 + 0.240119i
\(533\) 24.9443 + 60.2209i 0.0467998 + 0.112985i
\(534\) 571.923 + 235.812i 1.07102 + 0.441595i
\(535\) 253.099 253.099i 0.473083 0.473083i
\(536\) 562.912 236.382i 1.05021 0.441012i
\(537\) −51.4861 51.4861i −0.0958772 0.0958772i
\(538\) −213.611 513.345i −0.397047 0.954174i
\(539\) 207.988 + 266.159i 0.385878 + 0.493802i
\(540\) −369.416 367.026i −0.684104 0.679679i
\(541\) −217.598 + 525.327i −0.402214 + 0.971030i 0.584914 + 0.811096i \(0.301128\pi\)
−0.987128 + 0.159935i \(0.948872\pi\)
\(542\) −680.038 + 682.248i −1.25468 + 1.25876i
\(543\) −165.760 −0.305267
\(544\) 414.185 420.961i 0.761370 0.773825i
\(545\) 669.915i 1.22920i
\(546\) 57.5864 + 417.909i 0.105470 + 0.765402i
\(547\) 320.292 773.253i 0.585543 1.41362i −0.302182 0.953250i \(-0.597715\pi\)
0.887725 0.460375i \(-0.152285\pi\)
\(548\) −308.163 + 310.169i −0.562341 + 0.566002i
\(549\) −1.56897 3.78782i −0.00285786 0.00689949i
\(550\) −17.2881 + 7.19383i −0.0314328 + 0.0130797i
\(551\) −575.860 575.860i −1.04512 1.04512i
\(552\) 22.2872 54.5556i 0.0403753 0.0988326i
\(553\) −84.3218 619.359i −0.152481 1.12000i
\(554\) 510.710 + 210.573i 0.921860 + 0.380096i
\(555\) −384.694 928.735i −0.693143 1.67340i
\(556\) 172.855 + 413.509i 0.310890 + 0.743720i
\(557\) 190.205 + 78.7854i 0.341481 + 0.141446i 0.546832 0.837242i \(-0.315834\pi\)
−0.205351 + 0.978688i \(0.565834\pi\)
\(558\) 0.00128597 + 0.792565i 2.30460e−6 + 0.00142037i
\(559\) 30.0544 0.0537646
\(560\) −277.413 468.620i −0.495381 0.836822i
\(561\) 384.771i 0.685865i
\(562\) 0.488300 + 300.949i 0.000868862 + 0.535496i
\(563\) 125.324 302.558i 0.222600 0.537403i −0.772642 0.634842i \(-0.781065\pi\)
0.995241 + 0.0974391i \(0.0310651\pi\)
\(564\) 45.0520 109.771i 0.0798794 0.194630i
\(565\) −76.2220 + 31.5722i −0.134906 + 0.0558800i
\(566\) 624.359 + 257.432i 1.10311 + 0.454827i
\(567\) −77.7181 570.854i −0.137069 1.00680i
\(568\) 382.788 1.86328i 0.673923 0.00328042i
\(569\) 49.0645 49.0645i 0.0862293 0.0862293i −0.662676 0.748906i \(-0.730580\pi\)
0.748906 + 0.662676i \(0.230580\pi\)
\(570\) 492.747 205.040i 0.864469 0.359719i
\(571\) 435.785 180.508i 0.763196 0.316126i 0.0330833 0.999453i \(-0.489467\pi\)
0.730113 + 0.683326i \(0.239467\pi\)
\(572\) −0.891508 274.726i −0.00155858 0.480290i
\(573\) −670.983 277.930i −1.17100 0.485044i
\(574\) −12.5031 90.7361i −0.0217824 0.158077i
\(575\) −3.30802 −0.00575307
\(576\) −6.59503 + 6.72470i −0.0114497 + 0.0116748i
\(577\) 906.026i 1.57024i 0.619346 + 0.785118i \(0.287398\pi\)
−0.619346 + 0.785118i \(0.712602\pi\)
\(578\) −72.8317 + 73.0685i −0.126006 + 0.126416i
\(579\) −662.931 274.595i −1.14496 0.474257i
\(580\) 2.83250 + 872.858i 0.00488361 + 1.50493i
\(581\) 251.778 956.509i 0.433353 1.64632i
\(582\) −251.332 603.996i −0.431842 1.03779i
\(583\) −138.431 + 138.431i −0.237445 + 0.237445i
\(584\) 800.647 3.89726i 1.37097 0.00667340i
\(585\) 5.04129 + 5.04129i 0.00861760 + 0.00861760i
\(586\) −911.466 375.810i −1.55540 0.641314i
\(587\) −1062.40 + 440.061i −1.80988 + 0.749678i −0.827856 + 0.560940i \(0.810440\pi\)
−0.982027 + 0.188738i \(0.939560\pi\)
\(588\) 70.2758 588.608i 0.119517 1.00103i
\(589\) 45.1427 + 18.6987i 0.0766429 + 0.0317465i
\(590\) 1.26284 + 778.311i 0.00214040 + 1.31917i
\(591\) −466.766 −0.789790
\(592\) 1007.74 425.104i 1.70227 0.718080i
\(593\) 78.5514 0.132464 0.0662322 0.997804i \(-0.478902\pi\)
0.0662322 + 0.997804i \(0.478902\pi\)
\(594\) 0.598958 + 369.149i 0.00100835 + 0.621463i
\(595\) 316.463 + 542.587i 0.531870 + 0.911911i
\(596\) 286.509 119.767i 0.480720 0.200951i
\(597\) −11.7433 28.3509i −0.0196706 0.0474889i
\(598\) 18.5004 44.8697i 0.0309371 0.0750329i
\(599\) 603.410 + 603.410i 1.00736 + 1.00736i 0.999973 + 0.00738991i \(0.00235230\pi\)
0.00738991 + 0.999973i \(0.497648\pi\)
\(600\) 30.4204 + 12.4274i 0.0507007 + 0.0207124i
\(601\) 114.383 + 114.383i 0.190322 + 0.190322i 0.795835 0.605514i \(-0.207032\pi\)
−0.605514 + 0.795835i \(0.707032\pi\)
\(602\) −40.8581 10.6841i −0.0678707 0.0177476i
\(603\) 10.3766 4.29811i 0.0172082 0.00712788i
\(604\) −359.049 + 361.387i −0.594452 + 0.598322i
\(605\) 330.076 + 136.722i 0.545581 + 0.225987i
\(606\) −750.589 748.157i −1.23860 1.23458i
\(607\) 932.181i 1.53572i −0.640619 0.767859i \(-0.721322\pi\)
0.640619 0.767859i \(-0.278678\pi\)
\(608\) 226.562 + 534.658i 0.372634 + 0.879372i
\(609\) −575.076 + 756.339i −0.944295 + 1.24194i
\(610\) 191.872 + 191.251i 0.314544 + 0.313525i
\(611\) 37.3959 90.2816i 0.0612044 0.147760i
\(612\) 7.65709 7.70695i 0.0125116 0.0125931i
\(613\) 531.042 219.965i 0.866300 0.358833i 0.0951317 0.995465i \(-0.469673\pi\)
0.771168 + 0.636632i \(0.219673\pi\)
\(614\) 413.816 + 994.473i 0.673967 + 1.61966i
\(615\) −68.0308 68.0308i −0.110619 0.110619i
\(616\) −96.4506 + 373.799i −0.156576 + 0.606817i
\(617\) 488.091 + 488.091i 0.791072 + 0.791072i 0.981668 0.190597i \(-0.0610422\pi\)
−0.190597 + 0.981668i \(0.561042\pi\)
\(618\) −265.649 109.531i −0.429853 0.177234i
\(619\) 69.0349 28.5952i 0.111527 0.0461958i −0.326222 0.945293i \(-0.605776\pi\)
0.437749 + 0.899097i \(0.355776\pi\)
\(620\) −20.1982 48.3186i −0.0325777 0.0779332i
\(621\) −24.9566 + 60.2507i −0.0401878 + 0.0970220i
\(622\) 0.334478 + 206.145i 0.000537745 + 0.331422i
\(623\) −569.883 433.306i −0.914741 0.695515i
\(624\) −338.693 + 343.118i −0.542778 + 0.549869i
\(625\) 589.202i 0.942723i
\(626\) −1159.93 + 1.88203i −1.85292 + 0.00300643i
\(627\) −349.537 144.783i −0.557475 0.230914i
\(628\) 292.574 712.871i 0.465882 1.13514i
\(629\) −1165.52 + 482.774i −1.85297 + 0.767526i
\(630\) −5.06137 8.64563i −0.00803391 0.0137232i
\(631\) −115.013 115.013i −0.182271 0.182271i 0.610074 0.792345i \(-0.291140\pi\)
−0.792345 + 0.610074i \(0.791140\pi\)
\(632\) 502.671 507.588i 0.795365 0.803146i
\(633\) 570.405 + 570.405i 0.901114 + 0.901114i
\(634\) 70.6225 + 169.718i 0.111392 + 0.267694i
\(635\) −332.973 803.867i −0.524367 1.26593i
\(636\) 343.559 1.11488i 0.540187 0.00175295i
\(637\) 59.4487 484.560i 0.0933260 0.760690i
\(638\) 436.818 438.238i 0.684668 0.686893i
\(639\) 7.04198 0.0110203
\(640\) 231.626 577.666i 0.361916 0.902603i
\(641\) 7.26223 0.0113295 0.00566477 0.999984i \(-0.498197\pi\)
0.00566477 + 0.999984i \(0.498197\pi\)
\(642\) 315.375 + 314.353i 0.491238 + 0.489646i
\(643\) −666.011 275.871i −1.03579 0.429037i −0.200989 0.979594i \(-0.564415\pi\)
−0.834798 + 0.550557i \(0.814415\pi\)
\(644\) −41.1015 + 54.4223i −0.0638222 + 0.0845067i
\(645\) −40.9838 + 16.9761i −0.0635408 + 0.0263195i
\(646\) −257.316 618.375i −0.398321 0.957237i
\(647\) 280.132 + 280.132i 0.432971 + 0.432971i 0.889638 0.456667i \(-0.150957\pi\)
−0.456667 + 0.889638i \(0.650957\pi\)
\(648\) 463.304 467.836i 0.714975 0.721969i
\(649\) 390.135 390.135i 0.601132 0.601132i
\(650\) 25.0195 + 10.3159i 0.0384915 + 0.0158706i
\(651\) 14.5113 55.1288i 0.0222909 0.0846833i
\(652\) 209.624 + 86.0332i 0.321509 + 0.131953i
\(653\) −1117.64 462.940i −1.71154 0.708944i −0.999980 0.00631987i \(-0.997988\pi\)
−0.711561 0.702624i \(-0.752012\pi\)
\(654\) 833.397 1.35222i 1.27431 0.00206761i
\(655\) 299.850i 0.457786i
\(656\) 73.5368 74.4976i 0.112099 0.113563i
\(657\) 14.7291 0.0224188
\(658\) −82.9329 + 109.441i −0.126038 + 0.166324i
\(659\) 80.8647 + 33.4953i 0.122708 + 0.0508274i 0.443193 0.896426i \(-0.353846\pi\)
−0.320485 + 0.947254i \(0.603846\pi\)
\(660\) 156.393 + 374.127i 0.236959 + 0.566860i
\(661\) 584.186 241.978i 0.883791 0.366078i 0.105825 0.994385i \(-0.466252\pi\)
0.777966 + 0.628307i \(0.216252\pi\)
\(662\) 606.176 + 249.935i 0.915674 + 0.377545i
\(663\) 393.220 393.220i 0.593092 0.593092i
\(664\) 1042.23 437.660i 1.56962 0.659127i
\(665\) −611.981 + 83.3173i −0.920272 + 0.125289i
\(666\) 18.5766 7.73001i 0.0278928 0.0116066i
\(667\) 100.991 41.8317i 0.151410 0.0627162i
\(668\) −671.791 + 676.166i −1.00568 + 1.01222i
\(669\) −104.951 + 253.373i −0.156877 + 0.378734i
\(670\) −523.922 + 525.625i −0.781973 + 0.784515i
\(671\) 192.043i 0.286205i
\(672\) 582.420 346.058i 0.866696 0.514967i
\(673\) −514.767 −0.764884 −0.382442 0.923980i \(-0.624917\pi\)
−0.382442 + 0.923980i \(0.624917\pi\)
\(674\) −214.736 214.041i −0.318600 0.317568i
\(675\) −33.5960 13.9159i −0.0497719 0.0206162i
\(676\) 196.603 197.883i 0.290833 0.292727i
\(677\) 28.3586 + 68.4637i 0.0418886 + 0.101128i 0.943439 0.331546i \(-0.107570\pi\)
−0.901551 + 0.432674i \(0.857570\pi\)
\(678\) −39.4307 94.7590i −0.0581574 0.139763i
\(679\) 102.128 + 750.149i 0.150409 + 1.10479i
\(680\) −271.483 + 664.550i −0.399240 + 0.977279i
\(681\) 633.331 + 633.331i 0.930002 + 0.930002i
\(682\) −14.1513 + 34.3216i −0.0207497 + 0.0503249i
\(683\) 505.795 + 1221.10i 0.740548 + 1.78784i 0.603638 + 0.797259i \(0.293717\pi\)
0.136911 + 0.990583i \(0.456283\pi\)
\(684\) 4.11998 + 9.85592i 0.00602336 + 0.0144092i
\(685\) 203.390 491.027i 0.296920 0.716827i
\(686\) −253.075 + 637.612i −0.368915 + 0.929463i
\(687\) 803.703i 1.16987i
\(688\) −18.7593 44.4703i −0.0272664 0.0646371i
\(689\) 282.941 0.410654
\(690\) 0.116233 + 71.6365i 0.000168454 + 0.103821i
\(691\) 70.8973 171.161i 0.102601 0.247701i −0.864240 0.503080i \(-0.832200\pi\)
0.966841 + 0.255379i \(0.0822002\pi\)
\(692\) −487.972 200.272i −0.705163 0.289411i
\(693\) −1.80779 + 6.86781i −0.00260864 + 0.00991026i
\(694\) 199.806 484.597i 0.287905 0.698266i
\(695\) −385.231 385.231i −0.554289 0.554289i
\(696\) −1085.86 + 5.28557i −1.56014 + 0.00759422i
\(697\) −85.3756 + 85.3756i −0.122490 + 0.122490i
\(698\) 530.889 220.911i 0.760586 0.316492i
\(699\) 489.068 + 1180.71i 0.699668 + 1.68915i
\(700\) −30.3461 22.9184i −0.0433516 0.0327405i
\(701\) 186.955 451.349i 0.266697 0.643864i −0.732627 0.680631i \(-0.761706\pi\)
0.999324 + 0.0367666i \(0.0117058\pi\)
\(702\) 376.643 377.867i 0.536528 0.538272i
\(703\) 1240.45i 1.76451i
\(704\) −405.944 + 172.797i −0.576625 + 0.245450i
\(705\) 144.236i 0.204590i
\(706\) 309.436 + 308.433i 0.438294 + 0.436874i
\(707\) 617.888 + 1059.39i 0.873958 + 1.49843i
\(708\) −968.243 + 3.14203i −1.36757 + 0.00443789i
\(709\) −172.457 + 71.4339i −0.243239 + 0.100753i −0.500973 0.865463i \(-0.667024\pi\)
0.257734 + 0.966216i \(0.417024\pi\)
\(710\) −429.603 + 178.765i −0.605075 + 0.251781i
\(711\) 9.29263 9.29263i 0.0130698 0.0130698i
\(712\) −3.98255 818.168i −0.00559347 1.14911i
\(713\) −4.63757 + 4.63757i −0.00650431 + 0.00650431i
\(714\) −674.358 + 394.785i −0.944478 + 0.552921i
\(715\) 127.797 + 308.530i 0.178738 + 0.431511i
\(716\) −36.5631 + 89.0877i −0.0510658 + 0.124424i
\(717\) 321.038 775.053i 0.447751 1.08097i
\(718\) −0.791667 487.919i −0.00110260 0.679553i
\(719\) 1069.38 1.48732 0.743659 0.668559i \(-0.233089\pi\)
0.743659 + 0.668559i \(0.233089\pi\)
\(720\) 4.31274 10.6061i 0.00598992 0.0147306i
\(721\) 264.701 + 201.263i 0.367131 + 0.279145i
\(722\) −63.4259 + 0.102911i −0.0878476 + 0.000142536i
\(723\) −835.213 345.957i −1.15520 0.478501i
\(724\) 84.5518 + 202.267i 0.116784 + 0.279375i
\(725\) 23.3255 + 56.3128i 0.0321731 + 0.0776728i
\(726\) −169.421 + 410.902i −0.233362 + 0.565981i
\(727\) −315.123 + 315.123i −0.433456 + 0.433456i −0.889802 0.456346i \(-0.849158\pi\)
0.456346 + 0.889802i \(0.349158\pi\)
\(728\) 480.576 283.439i 0.660132 0.389339i
\(729\) −506.778 + 506.778i −0.695169 + 0.695169i
\(730\) −898.565 + 373.907i −1.23091 + 0.512202i
\(731\) 21.3042 + 51.4328i 0.0291439 + 0.0703595i
\(732\) −237.535 + 239.081i −0.324501 + 0.326614i
\(733\) 786.082 + 325.606i 1.07242 + 0.444210i 0.847843 0.530247i \(-0.177901\pi\)
0.224574 + 0.974457i \(0.427901\pi\)
\(734\) 621.380 623.399i 0.846566 0.849318i
\(735\) 192.633 + 694.351i 0.262086 + 0.944695i
\(736\) −77.9393 + 0.632311i −0.105896 + 0.000859118i
\(737\) 526.094 0.713832
\(738\) 1.35946 1.36388i 0.00184209 0.00184808i
\(739\) 481.117 1161.52i 0.651037 1.57174i −0.160238 0.987078i \(-0.551226\pi\)
0.811275 0.584665i \(-0.198774\pi\)
\(740\) −937.053 + 943.154i −1.26629 + 1.27453i
\(741\) 209.250 + 505.174i 0.282389 + 0.681747i
\(742\) −384.650 100.583i −0.518397 0.135557i
\(743\) 343.644 343.644i 0.462508 0.462508i −0.436968 0.899477i \(-0.643948\pi\)
0.899477 + 0.436968i \(0.143948\pi\)
\(744\) 60.0692 25.2247i 0.0807381 0.0339042i
\(745\) −266.917 + 266.917i −0.358277 + 0.358277i
\(746\) −753.742 310.778i −1.01038 0.416593i
\(747\) 19.2121 7.95791i 0.0257190 0.0106532i
\(748\) 469.513 196.266i 0.627691 0.262388i
\(749\) −259.618 445.125i −0.346620 0.594292i
\(750\) −775.226 + 1.25783i −1.03363 + 0.00167711i
\(751\) 782.796i 1.04234i 0.853453 + 0.521169i \(0.174504\pi\)
−0.853453 + 0.521169i \(0.825496\pi\)
\(752\) −156.928 + 1.01850i −0.208680 + 0.00135439i
\(753\) 1114.57i 1.48017i
\(754\) −894.272 + 1.45099i −1.18604 + 0.00192439i
\(755\) 236.975 572.109i 0.313874 0.757760i
\(756\) −646.364 + 379.807i −0.854979 + 0.502390i
\(757\)