Properties

Label 18.4.c.b.7.2
Level $18$
Weight $4$
Character 18.7
Analytic conductor $1.062$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 18.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.06203438010\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\sqrt{-3}, \sqrt{-35})\)
Defining polynomial: \( x^{4} - x^{3} - 8x^{2} - 9x + 81 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 7.2
Root \(-2.31174 - 1.91203i\) of defining polynomial
Character \(\chi\) \(=\) 18.7
Dual form 18.4.c.b.13.2

$q$-expansion

\(f(q)\) \(=\) \(q+(1.00000 - 1.73205i) q^{2} +(3.31174 + 4.00405i) q^{3} +(-2.00000 - 3.46410i) q^{4} +(-5.43521 - 9.41407i) q^{5} +(10.2470 - 1.73205i) q^{6} +(-12.4352 + 21.5384i) q^{7} -8.00000 q^{8} +(-5.06479 + 26.5207i) q^{9} +O(q^{10})\) \(q+(1.00000 - 1.73205i) q^{2} +(3.31174 + 4.00405i) q^{3} +(-2.00000 - 3.46410i) q^{4} +(-5.43521 - 9.41407i) q^{5} +(10.2470 - 1.73205i) q^{6} +(-12.4352 + 21.5384i) q^{7} -8.00000 q^{8} +(-5.06479 + 26.5207i) q^{9} -21.7409 q^{10} +(21.3704 - 37.0147i) q^{11} +(7.24695 - 19.4803i) q^{12} +(-7.56479 - 13.1026i) q^{13} +(24.8704 + 43.0768i) q^{14} +(19.6944 - 52.9398i) q^{15} +(-8.00000 + 13.8564i) q^{16} -13.8704 q^{17} +(40.8704 + 35.2932i) q^{18} +143.352 q^{19} +(-21.7409 + 37.6563i) q^{20} +(-127.423 + 21.5384i) q^{21} +(-42.7409 - 74.0293i) q^{22} +(-9.56479 - 16.5667i) q^{23} +(-26.4939 - 32.0324i) q^{24} +(3.41692 - 5.91828i) q^{25} -30.2591 q^{26} +(-122.963 + 67.5500i) q^{27} +99.4817 q^{28} +(-113.046 + 195.802i) q^{29} +(-72.0000 - 87.0514i) q^{30} +(-29.6944 - 51.4321i) q^{31} +(16.0000 + 27.7128i) q^{32} +(218.982 - 37.0147i) q^{33} +(-13.8704 + 24.0243i) q^{34} +270.352 q^{35} +(102.000 - 35.4965i) q^{36} -84.1860 q^{37} +(143.352 - 248.293i) q^{38} +(27.4108 - 73.6821i) q^{39} +(43.4817 + 75.3125i) q^{40} +(-101.630 - 176.028i) q^{41} +(-90.1174 + 242.242i) q^{42} +(-162.945 + 282.229i) q^{43} -170.963 q^{44} +(277.196 - 96.4655i) q^{45} -38.2591 q^{46} +(-5.47180 + 9.47744i) q^{47} +(-81.9756 + 13.8564i) q^{48} +(-137.769 - 238.623i) q^{49} +(-6.83384 - 11.8366i) q^{50} +(-45.9352 - 55.5378i) q^{51} +(-30.2591 + 52.4104i) q^{52} -140.186 q^{53} +(-5.96341 + 280.529i) q^{54} -464.611 q^{55} +(99.4817 - 172.307i) q^{56} +(474.745 + 573.989i) q^{57} +(226.093 + 391.605i) q^{58} +(-57.3704 - 99.3685i) q^{59} +(-222.777 + 37.6563i) q^{60} +(377.528 - 653.898i) q^{61} -118.777 q^{62} +(-508.232 - 438.878i) q^{63} +64.0000 q^{64} +(-82.2325 + 142.431i) q^{65} +(154.870 - 416.302i) q^{66} +(383.723 + 664.627i) q^{67} +(27.7409 + 48.0486i) q^{68} +(34.6578 - 93.1624i) q^{69} +(270.352 - 468.264i) q^{70} +335.854 q^{71} +(40.5183 - 212.166i) q^{72} +167.279 q^{73} +(-84.1860 + 145.814i) q^{74} +(35.0130 - 5.91828i) q^{75} +(-286.704 - 496.586i) q^{76} +(531.492 + 920.570i) q^{77} +(-100.210 - 121.159i) q^{78} +(12.6578 - 21.9239i) q^{79} +173.927 q^{80} +(-677.696 - 268.643i) q^{81} -406.518 q^{82} +(-143.861 + 249.174i) q^{83} +(329.457 + 398.329i) q^{84} +(75.3887 + 130.577i) q^{85} +(325.890 + 564.458i) q^{86} +(-1158.38 + 195.802i) q^{87} +(-170.963 + 296.117i) q^{88} -860.817 q^{89} +(110.113 - 576.583i) q^{90} +376.279 q^{91} +(-38.2591 + 66.2668i) q^{92} +(107.597 - 289.227i) q^{93} +(10.9436 + 18.9549i) q^{94} +(-779.149 - 1349.53i) q^{95} +(-57.9756 + 155.842i) q^{96} +(201.075 - 348.272i) q^{97} -551.076 q^{98} +(873.418 + 754.230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q + 4 q^{2} + 3 q^{3} - 8 q^{4} + 9 q^{5} - 19 q^{7} - 32 q^{8} - 51 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q + 4 q^{2} + 3 q^{3} - 8 q^{4} + 9 q^{5} - 19 q^{7} - 32 q^{8} - 51 q^{9} + 36 q^{10} + 24 q^{11} - 12 q^{12} - 61 q^{13} + 38 q^{14} + 171 q^{15} - 32 q^{16} + 6 q^{17} + 102 q^{18} + 266 q^{19} + 36 q^{20} - 315 q^{21} - 48 q^{22} - 69 q^{23} - 24 q^{24} - 263 q^{25} - 244 q^{26} + 152 q^{28} - 237 q^{29} - 288 q^{30} - 211 q^{31} + 64 q^{32} + 630 q^{33} + 6 q^{34} + 774 q^{35} + 408 q^{36} + 524 q^{37} + 266 q^{38} - 249 q^{39} - 72 q^{40} - 468 q^{41} - 258 q^{42} + 86 q^{43} - 192 q^{44} - 459 q^{45} - 276 q^{46} - 483 q^{47} + 33 q^{49} + 526 q^{50} - 153 q^{51} - 244 q^{52} + 300 q^{53} + 468 q^{54} - 1674 q^{55} + 152 q^{56} + 987 q^{57} + 474 q^{58} - 168 q^{59} - 1260 q^{60} + 1049 q^{61} - 844 q^{62} - 957 q^{63} + 256 q^{64} + 747 q^{65} + 558 q^{66} + 1166 q^{67} - 12 q^{68} - 261 q^{69} + 774 q^{70} - 624 q^{71} + 408 q^{72} - 622 q^{73} + 524 q^{74} + 2835 q^{75} - 532 q^{76} + 1173 q^{77} + 132 q^{78} - 349 q^{79} - 288 q^{80} - 1143 q^{81} - 1872 q^{82} - 1221 q^{83} + 744 q^{84} + 486 q^{85} - 172 q^{86} - 2205 q^{87} - 192 q^{88} - 984 q^{89} - 1404 q^{90} + 214 q^{91} - 276 q^{92} - 789 q^{93} + 966 q^{94} - 1764 q^{95} + 96 q^{96} + 128 q^{97} + 132 q^{98} + 1557 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 1.73205i 0.353553 0.612372i
\(3\) 3.31174 + 4.00405i 0.637344 + 0.770579i
\(4\) −2.00000 3.46410i −0.250000 0.433013i
\(5\) −5.43521 9.41407i −0.486140 0.842020i 0.513733 0.857950i \(-0.328262\pi\)
−0.999873 + 0.0159306i \(0.994929\pi\)
\(6\) 10.2470 1.73205i 0.697217 0.117851i
\(7\) −12.4352 + 21.5384i −0.671438 + 1.16297i 0.306058 + 0.952013i \(0.400990\pi\)
−0.977496 + 0.210953i \(0.932343\pi\)
\(8\) −8.00000 −0.353553
\(9\) −5.06479 + 26.5207i −0.187585 + 0.982248i
\(10\) −21.7409 −0.687506
\(11\) 21.3704 37.0147i 0.585766 1.01458i −0.409013 0.912528i \(-0.634127\pi\)
0.994779 0.102048i \(-0.0325396\pi\)
\(12\) 7.24695 19.4803i 0.174335 0.468623i
\(13\) −7.56479 13.1026i −0.161392 0.279539i 0.773976 0.633215i \(-0.218265\pi\)
−0.935368 + 0.353676i \(0.884932\pi\)
\(14\) 24.8704 + 43.0768i 0.474779 + 0.822341i
\(15\) 19.6944 52.9398i 0.339004 0.911266i
\(16\) −8.00000 + 13.8564i −0.125000 + 0.216506i
\(17\) −13.8704 −0.197887 −0.0989433 0.995093i \(-0.531546\pi\)
−0.0989433 + 0.995093i \(0.531546\pi\)
\(18\) 40.8704 + 35.2932i 0.535181 + 0.462149i
\(19\) 143.352 1.73091 0.865454 0.500989i \(-0.167030\pi\)
0.865454 + 0.500989i \(0.167030\pi\)
\(20\) −21.7409 + 37.6563i −0.243070 + 0.421010i
\(21\) −127.423 + 21.5384i −1.32409 + 0.223813i
\(22\) −42.7409 74.0293i −0.414199 0.717414i
\(23\) −9.56479 16.5667i −0.0867129 0.150191i 0.819407 0.573212i \(-0.194303\pi\)
−0.906120 + 0.423021i \(0.860970\pi\)
\(24\) −26.4939 32.0324i −0.225335 0.272441i
\(25\) 3.41692 5.91828i 0.0273353 0.0473462i
\(26\) −30.2591 −0.228243
\(27\) −122.963 + 67.5500i −0.876456 + 0.481481i
\(28\) 99.4817 0.671438
\(29\) −113.046 + 195.802i −0.723869 + 1.25378i 0.235569 + 0.971858i \(0.424305\pi\)
−0.959438 + 0.281920i \(0.909029\pi\)
\(30\) −72.0000 87.0514i −0.438178 0.529778i
\(31\) −29.6944 51.4321i −0.172041 0.297983i 0.767092 0.641537i \(-0.221703\pi\)
−0.939133 + 0.343553i \(0.888369\pi\)
\(32\) 16.0000 + 27.7128i 0.0883883 + 0.153093i
\(33\) 218.982 37.0147i 1.15515 0.195255i
\(34\) −13.8704 + 24.0243i −0.0699635 + 0.121180i
\(35\) 270.352 1.30565
\(36\) 102.000 35.4965i 0.472222 0.164336i
\(37\) −84.1860 −0.374056 −0.187028 0.982355i \(-0.559886\pi\)
−0.187028 + 0.982355i \(0.559886\pi\)
\(38\) 143.352 248.293i 0.611968 1.05996i
\(39\) 27.4108 73.6821i 0.112545 0.302528i
\(40\) 43.4817 + 75.3125i 0.171877 + 0.297699i
\(41\) −101.630 176.028i −0.387119 0.670510i 0.604942 0.796270i \(-0.293196\pi\)
−0.992061 + 0.125760i \(0.959863\pi\)
\(42\) −90.1174 + 242.242i −0.331081 + 0.889969i
\(43\) −162.945 + 282.229i −0.577881 + 1.00092i 0.417841 + 0.908520i \(0.362787\pi\)
−0.995722 + 0.0923995i \(0.970546\pi\)
\(44\) −170.963 −0.585766
\(45\) 277.196 96.4655i 0.918265 0.319560i
\(46\) −38.2591 −0.122631
\(47\) −5.47180 + 9.47744i −0.0169818 + 0.0294133i −0.874391 0.485221i \(-0.838739\pi\)
0.857410 + 0.514635i \(0.172072\pi\)
\(48\) −81.9756 + 13.8564i −0.246503 + 0.0416667i
\(49\) −137.769 238.623i −0.401659 0.695694i
\(50\) −6.83384 11.8366i −0.0193290 0.0334788i
\(51\) −45.9352 55.5378i −0.126122 0.152487i
\(52\) −30.2591 + 52.4104i −0.0806959 + 0.139769i
\(53\) −140.186 −0.363321 −0.181661 0.983361i \(-0.558147\pi\)
−0.181661 + 0.983361i \(0.558147\pi\)
\(54\) −5.96341 + 280.529i −0.0150281 + 0.706947i
\(55\) −464.611 −1.13906
\(56\) 99.4817 172.307i 0.237389 0.411170i
\(57\) 474.745 + 573.989i 1.10318 + 1.33380i
\(58\) 226.093 + 391.605i 0.511853 + 0.886555i
\(59\) −57.3704 99.3685i −0.126593 0.219266i 0.795761 0.605610i \(-0.207071\pi\)
−0.922355 + 0.386345i \(0.873738\pi\)
\(60\) −222.777 + 37.6563i −0.479341 + 0.0810234i
\(61\) 377.528 653.898i 0.792419 1.37251i −0.132047 0.991243i \(-0.542155\pi\)
0.924465 0.381266i \(-0.124512\pi\)
\(62\) −118.777 −0.243302
\(63\) −508.232 438.878i −1.01637 0.877674i
\(64\) 64.0000 0.125000
\(65\) −82.2325 + 142.431i −0.156918 + 0.271790i
\(66\) 154.870 416.302i 0.288837 0.776413i
\(67\) 383.723 + 664.627i 0.699689 + 1.21190i 0.968574 + 0.248725i \(0.0800115\pi\)
−0.268885 + 0.963172i \(0.586655\pi\)
\(68\) 27.7409 + 48.0486i 0.0494717 + 0.0856874i
\(69\) 34.6578 93.1624i 0.0604682 0.162543i
\(70\) 270.352 468.264i 0.461618 0.799546i
\(71\) 335.854 0.561387 0.280694 0.959797i \(-0.409436\pi\)
0.280694 + 0.959797i \(0.409436\pi\)
\(72\) 40.5183 212.166i 0.0663212 0.347277i
\(73\) 167.279 0.268199 0.134099 0.990968i \(-0.457186\pi\)
0.134099 + 0.990968i \(0.457186\pi\)
\(74\) −84.1860 + 145.814i −0.132249 + 0.229062i
\(75\) 35.0130 5.91828i 0.0539060 0.00911178i
\(76\) −286.704 496.586i −0.432727 0.749505i
\(77\) 531.492 + 920.570i 0.786612 + 1.36245i
\(78\) −100.210 121.159i −0.145469 0.175879i
\(79\) 12.6578 21.9239i 0.0180267 0.0312232i −0.856871 0.515530i \(-0.827595\pi\)
0.874898 + 0.484307i \(0.160928\pi\)
\(80\) 173.927 0.243070
\(81\) −677.696 268.643i −0.929624 0.368510i
\(82\) −406.518 −0.547469
\(83\) −143.861 + 249.174i −0.190250 + 0.329523i −0.945333 0.326107i \(-0.894263\pi\)
0.755083 + 0.655629i \(0.227597\pi\)
\(84\) 329.457 + 398.329i 0.427937 + 0.517396i
\(85\) 75.3887 + 130.577i 0.0962006 + 0.166624i
\(86\) 325.890 + 564.458i 0.408624 + 0.707757i
\(87\) −1158.38 + 195.802i −1.42749 + 0.241290i
\(88\) −170.963 + 296.117i −0.207100 + 0.358707i
\(89\) −860.817 −1.02524 −0.512620 0.858615i \(-0.671325\pi\)
−0.512620 + 0.858615i \(0.671325\pi\)
\(90\) 110.113 576.583i 0.128966 0.675302i
\(91\) 376.279 0.433459
\(92\) −38.2591 + 66.2668i −0.0433564 + 0.0750955i
\(93\) 107.597 289.227i 0.119971 0.322489i
\(94\) 10.9436 + 18.9549i 0.0120079 + 0.0207984i
\(95\) −779.149 1349.53i −0.841464 1.45746i
\(96\) −57.9756 + 155.842i −0.0616366 + 0.165683i
\(97\) 201.075 348.272i 0.210475 0.364553i −0.741389 0.671076i \(-0.765832\pi\)
0.951863 + 0.306523i \(0.0991657\pi\)
\(98\) −551.076 −0.568032
\(99\) 873.418 + 754.230i 0.886685 + 0.765687i
\(100\) −27.3353 −0.0273353
\(101\) 665.714 1153.05i 0.655852 1.13597i −0.325828 0.945429i \(-0.605643\pi\)
0.981680 0.190540i \(-0.0610237\pi\)
\(102\) −142.130 + 24.0243i −0.137970 + 0.0233212i
\(103\) 259.252 + 449.038i 0.248009 + 0.429563i 0.962973 0.269597i \(-0.0868905\pi\)
−0.714965 + 0.699161i \(0.753557\pi\)
\(104\) 60.5183 + 104.821i 0.0570606 + 0.0988319i
\(105\) 895.335 + 1082.50i 0.832150 + 1.00611i
\(106\) −140.186 + 242.809i −0.128453 + 0.222488i
\(107\) 1471.87 1.32982 0.664912 0.746922i \(-0.268469\pi\)
0.664912 + 0.746922i \(0.268469\pi\)
\(108\) 479.927 + 290.858i 0.427602 + 0.259146i
\(109\) −643.668 −0.565616 −0.282808 0.959176i \(-0.591266\pi\)
−0.282808 + 0.959176i \(0.591266\pi\)
\(110\) −464.611 + 804.730i −0.402718 + 0.697528i
\(111\) −278.802 337.085i −0.238403 0.288240i
\(112\) −198.963 344.615i −0.167860 0.290741i
\(113\) −511.864 886.574i −0.426125 0.738069i 0.570400 0.821367i \(-0.306788\pi\)
−0.996525 + 0.0832976i \(0.973455\pi\)
\(114\) 1468.92 248.293i 1.20682 0.203989i
\(115\) −103.973 + 180.087i −0.0843092 + 0.146028i
\(116\) 904.372 0.723869
\(117\) 385.804 134.262i 0.304851 0.106090i
\(118\) −229.482 −0.179030
\(119\) 172.482 298.747i 0.132869 0.230135i
\(120\) −157.555 + 423.518i −0.119856 + 0.322181i
\(121\) −247.890 429.358i −0.186244 0.322583i
\(122\) −755.056 1307.80i −0.560325 0.970511i
\(123\) 368.252 989.887i 0.269953 0.725651i
\(124\) −118.777 + 205.729i −0.0860204 + 0.148992i
\(125\) −1433.09 −1.02544
\(126\) −1268.39 + 441.406i −0.896804 + 0.312092i
\(127\) −31.4481 −0.0219730 −0.0109865 0.999940i \(-0.503497\pi\)
−0.0109865 + 0.999940i \(0.503497\pi\)
\(128\) 64.0000 110.851i 0.0441942 0.0765466i
\(129\) −1669.69 + 282.229i −1.13960 + 0.192627i
\(130\) 164.465 + 284.862i 0.110958 + 0.192185i
\(131\) 968.678 + 1677.80i 0.646059 + 1.11901i 0.984056 + 0.177860i \(0.0569174\pi\)
−0.337997 + 0.941147i \(0.609749\pi\)
\(132\) −566.186 684.546i −0.373335 0.451379i
\(133\) −1782.61 + 3087.58i −1.16220 + 2.01299i
\(134\) 1534.89 0.989510
\(135\) 1304.25 + 790.437i 0.831497 + 0.503926i
\(136\) 110.963 0.0699635
\(137\) −579.297 + 1003.37i −0.361261 + 0.625722i −0.988169 0.153372i \(-0.950987\pi\)
0.626908 + 0.779093i \(0.284320\pi\)
\(138\) −126.704 153.191i −0.0781578 0.0944965i
\(139\) −1155.80 2001.90i −0.705277 1.22158i −0.966591 0.256323i \(-0.917489\pi\)
0.261314 0.965254i \(-0.415844\pi\)
\(140\) −540.704 936.527i −0.326413 0.565364i
\(141\) −56.0693 + 9.47744i −0.0334886 + 0.00566060i
\(142\) 335.854 581.716i 0.198480 0.343778i
\(143\) −646.651 −0.378151
\(144\) −326.963 282.345i −0.189215 0.163394i
\(145\) 2457.73 1.40761
\(146\) 167.279 289.736i 0.0948226 0.164238i
\(147\) 499.203 1341.89i 0.280092 0.752907i
\(148\) 168.372 + 291.629i 0.0935141 + 0.161971i
\(149\) 1475.11 + 2554.96i 0.811043 + 1.40477i 0.912135 + 0.409890i \(0.134433\pi\)
−0.101092 + 0.994877i \(0.532234\pi\)
\(150\) 24.7622 66.5625i 0.0134789 0.0362321i
\(151\) 863.199 1495.10i 0.465206 0.805761i −0.534005 0.845482i \(-0.679314\pi\)
0.999211 + 0.0397208i \(0.0126469\pi\)
\(152\) −1146.82 −0.611968
\(153\) 70.2508 367.854i 0.0371205 0.194374i
\(154\) 2125.97 1.11244
\(155\) −322.790 + 559.089i −0.167272 + 0.289723i
\(156\) −310.064 + 52.4104i −0.159135 + 0.0268986i
\(157\) −641.694 1111.45i −0.326196 0.564988i 0.655558 0.755145i \(-0.272434\pi\)
−0.981754 + 0.190157i \(0.939100\pi\)
\(158\) −25.3155 43.8478i −0.0127468 0.0220781i
\(159\) −464.259 561.311i −0.231561 0.279968i
\(160\) 173.927 301.250i 0.0859383 0.148849i
\(161\) 475.761 0.232889
\(162\) −1143.00 + 905.160i −0.554337 + 0.438988i
\(163\) 1033.93 0.496831 0.248415 0.968654i \(-0.420090\pi\)
0.248415 + 0.968654i \(0.420090\pi\)
\(164\) −406.518 + 704.110i −0.193559 + 0.335255i
\(165\) −1538.67 1860.33i −0.725972 0.877734i
\(166\) 287.721 + 498.347i 0.134527 + 0.233008i
\(167\) 141.309 + 244.754i 0.0654778 + 0.113411i 0.896906 0.442222i \(-0.145810\pi\)
−0.831428 + 0.555632i \(0.812476\pi\)
\(168\) 1019.38 172.307i 0.468138 0.0791298i
\(169\) 984.048 1704.42i 0.447905 0.775795i
\(170\) 301.555 0.136048
\(171\) −726.048 + 3801.80i −0.324692 + 1.70018i
\(172\) 1303.56 0.577881
\(173\) 1766.36 3059.43i 0.776266 1.34453i −0.157814 0.987469i \(-0.550445\pi\)
0.934080 0.357063i \(-0.116222\pi\)
\(174\) −819.242 + 2202.18i −0.356934 + 0.959464i
\(175\) 84.9802 + 147.190i 0.0367080 + 0.0635801i
\(176\) 341.927 + 592.235i 0.146441 + 0.253644i
\(177\) 207.880 558.796i 0.0882782 0.237298i
\(178\) −860.817 + 1490.98i −0.362477 + 0.627829i
\(179\) −4052.74 −1.69227 −0.846135 0.532969i \(-0.821076\pi\)
−0.846135 + 0.532969i \(0.821076\pi\)
\(180\) −888.558 767.304i −0.367940 0.317730i
\(181\) −2830.97 −1.16257 −0.581283 0.813702i \(-0.697449\pi\)
−0.581283 + 0.813702i \(0.697449\pi\)
\(182\) 376.279 651.734i 0.153251 0.265438i
\(183\) 3868.51 653.898i 1.56267 0.264140i
\(184\) 76.5183 + 132.534i 0.0306576 + 0.0531006i
\(185\) 457.569 + 792.532i 0.181844 + 0.314963i
\(186\) −393.360 475.590i −0.155067 0.187484i
\(187\) −296.417 + 513.409i −0.115915 + 0.200771i
\(188\) 43.7744 0.0169818
\(189\) 74.1563 3488.44i 0.0285401 1.34257i
\(190\) −3116.60 −1.19001
\(191\) −2254.62 + 3905.12i −0.854129 + 1.47940i 0.0233215 + 0.999728i \(0.492576\pi\)
−0.877451 + 0.479667i \(0.840757\pi\)
\(192\) 211.951 + 256.259i 0.0796680 + 0.0963224i
\(193\) 1610.56 + 2789.58i 0.600678 + 1.04040i 0.992719 + 0.120457i \(0.0384359\pi\)
−0.392041 + 0.919948i \(0.628231\pi\)
\(194\) −402.149 696.543i −0.148828 0.257778i
\(195\) −842.632 + 142.431i −0.309447 + 0.0523061i
\(196\) −551.076 + 954.492i −0.200830 + 0.347847i
\(197\) 3784.20 1.36859 0.684297 0.729204i \(-0.260109\pi\)
0.684297 + 0.729204i \(0.260109\pi\)
\(198\) 2179.78 758.575i 0.782376 0.272271i
\(199\) −2926.27 −1.04240 −0.521200 0.853435i \(-0.674515\pi\)
−0.521200 + 0.853435i \(0.674515\pi\)
\(200\) −27.3353 + 47.3462i −0.00966450 + 0.0167394i
\(201\) −1390.41 + 3737.51i −0.487920 + 1.31156i
\(202\) −1331.43 2306.10i −0.463757 0.803251i
\(203\) −2811.51 4869.69i −0.972067 1.68367i
\(204\) −100.518 + 270.200i −0.0344985 + 0.0927342i
\(205\) −1104.76 + 1913.49i −0.376388 + 0.651923i
\(206\) 1037.01 0.350737
\(207\) 487.804 169.758i 0.163791 0.0570000i
\(208\) 242.073 0.0806959
\(209\) 3063.50 5306.13i 1.01391 1.75614i
\(210\) 2770.28 468.264i 0.910323 0.153873i
\(211\) −156.737 271.476i −0.0511385 0.0885744i 0.839323 0.543633i \(-0.182952\pi\)
−0.890462 + 0.455059i \(0.849618\pi\)
\(212\) 280.372 + 485.618i 0.0908303 + 0.157323i
\(213\) 1112.26 + 1344.77i 0.357797 + 0.432593i
\(214\) 1471.87 2549.35i 0.470164 0.814347i
\(215\) 3542.57 1.12373
\(216\) 983.707 540.400i 0.309874 0.170229i
\(217\) 1477.02 0.462059
\(218\) −643.668 + 1114.87i −0.199976 + 0.346368i
\(219\) 553.984 + 669.793i 0.170935 + 0.206669i
\(220\) 929.223 + 1609.46i 0.284764 + 0.493226i
\(221\) 104.927 + 181.739i 0.0319373 + 0.0553170i
\(222\) −862.649 + 145.814i −0.260798 + 0.0440830i
\(223\) 355.193 615.212i 0.106661 0.184743i −0.807754 0.589519i \(-0.799317\pi\)
0.914416 + 0.404776i \(0.132651\pi\)
\(224\) −795.854 −0.237389
\(225\) 139.651 + 120.594i 0.0413780 + 0.0357315i
\(226\) −2047.45 −0.602631
\(227\) −16.3308 + 28.2858i −0.00477496 + 0.00827046i −0.868403 0.495859i \(-0.834853\pi\)
0.863628 + 0.504130i \(0.168187\pi\)
\(228\) 1038.87 2792.54i 0.301757 0.811143i
\(229\) 2751.92 + 4766.47i 0.794114 + 1.37545i 0.923400 + 0.383839i \(0.125398\pi\)
−0.129286 + 0.991607i \(0.541268\pi\)
\(230\) 207.947 + 360.174i 0.0596156 + 0.103257i
\(231\) −1925.85 + 5176.81i −0.548534 + 1.47450i
\(232\) 904.372 1566.42i 0.255926 0.443278i
\(233\) −6788.81 −1.90880 −0.954399 0.298534i \(-0.903502\pi\)
−0.954399 + 0.298534i \(0.903502\pi\)
\(234\) 153.256 802.494i 0.0428148 0.224191i
\(235\) 118.962 0.0330221
\(236\) −229.482 + 397.474i −0.0632966 + 0.109633i
\(237\) 129.704 21.9239i 0.0355492 0.00600890i
\(238\) −344.963 597.494i −0.0939523 0.162730i
\(239\) 214.694 + 371.862i 0.0581064 + 0.100643i 0.893615 0.448834i \(-0.148160\pi\)
−0.835509 + 0.549477i \(0.814827\pi\)
\(240\) 576.000 + 696.411i 0.154919 + 0.187305i
\(241\) 2421.82 4194.72i 0.647317 1.12119i −0.336444 0.941703i \(-0.609224\pi\)
0.983761 0.179483i \(-0.0574424\pi\)
\(242\) −991.561 −0.263388
\(243\) −1168.69 3603.20i −0.308525 0.951216i
\(244\) −3020.23 −0.792419
\(245\) −1497.61 + 2593.93i −0.390525 + 0.676410i
\(246\) −1346.28 1627.72i −0.348926 0.421868i
\(247\) −1084.43 1878.28i −0.279354 0.483856i
\(248\) 237.555 + 411.457i 0.0608256 + 0.105353i
\(249\) −1474.13 + 249.174i −0.375178 + 0.0634166i
\(250\) −1433.09 + 2482.18i −0.362546 + 0.627949i
\(251\) 2400.87 0.603752 0.301876 0.953347i \(-0.402387\pi\)
0.301876 + 0.953347i \(0.402387\pi\)
\(252\) −503.854 + 2638.33i −0.125952 + 0.659519i
\(253\) −817.614 −0.203174
\(254\) −31.4481 + 54.4698i −0.00776863 + 0.0134557i
\(255\) −273.169 + 734.297i −0.0670844 + 0.180327i
\(256\) −128.000 221.703i −0.0312500 0.0541266i
\(257\) −1490.50 2581.62i −0.361769 0.626602i 0.626483 0.779435i \(-0.284494\pi\)
−0.988252 + 0.152833i \(0.951160\pi\)
\(258\) −1180.86 + 3174.22i −0.284949 + 0.765962i
\(259\) 1046.87 1813.23i 0.251156 0.435015i
\(260\) 657.860 0.156918
\(261\) −4620.26 3989.77i −1.09573 0.946209i
\(262\) 3874.71 0.913666
\(263\) −2780.41 + 4815.81i −0.651891 + 1.12911i 0.330773 + 0.943710i \(0.392691\pi\)
−0.982664 + 0.185398i \(0.940643\pi\)
\(264\) −1751.85 + 296.117i −0.408406 + 0.0690332i
\(265\) 761.941 + 1319.72i 0.176625 + 0.305924i
\(266\) 3565.23 + 6175.16i 0.821798 + 1.42340i
\(267\) −2850.80 3446.75i −0.653431 0.790029i
\(268\) 1534.89 2658.51i 0.349845 0.605949i
\(269\) 6288.50 1.42534 0.712671 0.701499i \(-0.247485\pi\)
0.712671 + 0.701499i \(0.247485\pi\)
\(270\) 2673.33 1468.59i 0.602569 0.331021i
\(271\) 6854.90 1.53655 0.768275 0.640119i \(-0.221115\pi\)
0.768275 + 0.640119i \(0.221115\pi\)
\(272\) 110.963 192.194i 0.0247358 0.0428437i
\(273\) 1246.14 + 1506.64i 0.276262 + 0.334014i
\(274\) 1158.59 + 2006.74i 0.255450 + 0.442452i
\(275\) −146.042 252.952i −0.0320242 0.0554676i
\(276\) −392.040 + 66.2668i −0.0855000 + 0.0144521i
\(277\) −449.086 + 777.840i −0.0974114 + 0.168722i −0.910612 0.413261i \(-0.864390\pi\)
0.813201 + 0.581983i \(0.197723\pi\)
\(278\) −4623.20 −0.997413
\(279\) 1514.41 527.023i 0.324966 0.113090i
\(280\) −2162.82 −0.461618
\(281\) −119.385 + 206.781i −0.0253448 + 0.0438986i −0.878420 0.477890i \(-0.841402\pi\)
0.853075 + 0.521789i \(0.174735\pi\)
\(282\) −39.6539 + 106.592i −0.00837360 + 0.0225088i
\(283\) −1035.58 1793.68i −0.217523 0.376760i 0.736527 0.676408i \(-0.236464\pi\)
−0.954050 + 0.299647i \(0.903131\pi\)
\(284\) −671.707 1163.43i −0.140347 0.243088i
\(285\) 2823.23 7589.03i 0.586785 1.57732i
\(286\) −646.651 + 1120.03i −0.133697 + 0.231570i
\(287\) 5055.14 1.03971
\(288\) −816.000 + 283.972i −0.166956 + 0.0581014i
\(289\) −4720.61 −0.960841
\(290\) 2457.73 4256.91i 0.497664 0.861980i
\(291\) 2060.40 348.272i 0.415062 0.0701582i
\(292\) −334.558 579.471i −0.0670497 0.116134i
\(293\) 3288.88 + 5696.51i 0.655763 + 1.13581i 0.981702 + 0.190423i \(0.0609861\pi\)
−0.325939 + 0.945391i \(0.605681\pi\)
\(294\) −1825.02 2206.54i −0.362032 0.437713i
\(295\) −623.641 + 1080.18i −0.123084 + 0.213188i
\(296\) 673.488 0.132249
\(297\) −127.441 + 5995.02i −0.0248985 + 1.17127i
\(298\) 5900.42 1.14699
\(299\) −144.711 + 250.647i −0.0279895 + 0.0484792i
\(300\) −90.5275 109.452i −0.0174220 0.0210640i
\(301\) −4052.51 7019.16i −0.776023 1.34411i
\(302\) −1726.40 2990.21i −0.328950 0.569759i
\(303\) 6821.54 1153.05i 1.29336 0.218617i
\(304\) −1146.82 + 1986.35i −0.216363 + 0.374752i
\(305\) −8207.78 −1.54091
\(306\) −566.890 489.531i −0.105905 0.0914531i
\(307\) −5237.30 −0.973644 −0.486822 0.873501i \(-0.661844\pi\)
−0.486822 + 0.873501i \(0.661844\pi\)
\(308\) 2125.97 3682.28i 0.393306 0.681226i
\(309\) −939.394 + 2525.15i −0.172946 + 0.464890i
\(310\) 645.581 + 1118.18i 0.118279 + 0.204865i
\(311\) −2852.49 4940.67i −0.520097 0.900834i −0.999727 0.0233635i \(-0.992562\pi\)
0.479630 0.877471i \(-0.340771\pi\)
\(312\) −219.287 + 589.457i −0.0397906 + 0.106960i
\(313\) −2538.74 + 4397.23i −0.458460 + 0.794076i −0.998880 0.0473193i \(-0.984932\pi\)
0.540420 + 0.841396i \(0.318265\pi\)
\(314\) −2566.78 −0.461311
\(315\) −1369.28 + 7169.93i −0.244921 + 1.28248i
\(316\) −101.262 −0.0180267
\(317\) −1434.46 + 2484.55i −0.254155 + 0.440209i −0.964666 0.263477i \(-0.915131\pi\)
0.710511 + 0.703686i \(0.248464\pi\)
\(318\) −1436.48 + 242.809i −0.253314 + 0.0428178i
\(319\) 4831.70 + 8368.76i 0.848036 + 1.46884i
\(320\) −347.854 602.500i −0.0607675 0.105252i
\(321\) 4874.45 + 5893.44i 0.847555 + 1.02473i
\(322\) 475.761 824.042i 0.0823388 0.142615i
\(323\) −1988.36 −0.342523
\(324\) 424.783 + 2884.89i 0.0728367 + 0.494666i
\(325\) −103.393 −0.0176468
\(326\) 1033.93 1790.81i 0.175656 0.304245i
\(327\) −2131.66 2577.28i −0.360492 0.435852i
\(328\) 813.037 + 1408.22i 0.136867 + 0.237061i
\(329\) −136.086 235.708i −0.0228045 0.0394985i
\(330\) −4760.85 + 804.730i −0.794170 + 0.134239i
\(331\) −1015.67 + 1759.20i −0.168660 + 0.292128i −0.937949 0.346773i \(-0.887277\pi\)
0.769289 + 0.638901i \(0.220611\pi\)
\(332\) 1150.88 0.190250
\(333\) 426.384 2232.67i 0.0701673 0.367416i
\(334\) 565.235 0.0925996
\(335\) 4171.23 7224.78i 0.680294 1.17830i
\(336\) 720.939 1937.93i 0.117055 0.314651i
\(337\) −4899.14 8485.56i −0.791909 1.37163i −0.924784 0.380493i \(-0.875754\pi\)
0.132875 0.991133i \(-0.457579\pi\)
\(338\) −1968.10 3408.84i −0.316717 0.548570i
\(339\) 1854.72 4985.63i 0.297153 0.798767i
\(340\) 301.555 522.308i 0.0481003 0.0833122i
\(341\) −2538.32 −0.403103
\(342\) 5858.86 + 5059.35i 0.926348 + 0.799937i
\(343\) −1677.81 −0.264120
\(344\) 1303.56 2257.83i 0.204312 0.353879i
\(345\) −1065.41 + 180.087i −0.166260 + 0.0281031i
\(346\) −3532.72 6118.86i −0.548903 0.950728i
\(347\) 2278.28 + 3946.10i 0.352463 + 0.610483i 0.986680 0.162671i \(-0.0520111\pi\)
−0.634218 + 0.773154i \(0.718678\pi\)
\(348\) 2995.04 + 3621.15i 0.461354 + 0.557799i
\(349\) −1674.44 + 2900.22i −0.256822 + 0.444829i −0.965389 0.260815i \(-0.916009\pi\)
0.708567 + 0.705644i \(0.249342\pi\)
\(350\) 339.921 0.0519129
\(351\) 1815.27 + 1100.14i 0.276046 + 0.167296i
\(352\) 1367.71 0.207100
\(353\) −931.134 + 1612.77i −0.140395 + 0.243170i −0.927645 0.373463i \(-0.878170\pi\)
0.787251 + 0.616633i \(0.211504\pi\)
\(354\) −759.983 918.856i −0.114104 0.137957i
\(355\) −1825.44 3161.75i −0.272913 0.472699i
\(356\) 1721.63 + 2981.96i 0.256310 + 0.443942i
\(357\) 1767.41 298.747i 0.262021 0.0442896i
\(358\) −4052.74 + 7019.56i −0.598308 + 1.03630i
\(359\) 6179.46 0.908466 0.454233 0.890883i \(-0.349913\pi\)
0.454233 + 0.890883i \(0.349913\pi\)
\(360\) −2217.57 + 771.724i −0.324656 + 0.112982i
\(361\) 13690.8 1.99604
\(362\) −2830.97 + 4903.38i −0.411029 + 0.711923i
\(363\) 898.224 2414.49i 0.129875 0.349112i
\(364\) −752.558 1303.47i −0.108365 0.187693i
\(365\) −909.197 1574.77i −0.130382 0.225829i
\(366\) 2735.93 7354.36i 0.390736 1.05032i
\(367\) −3436.98 + 5953.02i −0.488852 + 0.846717i −0.999918 0.0128251i \(-0.995918\pi\)
0.511066 + 0.859542i \(0.329251\pi\)
\(368\) 306.073 0.0433564
\(369\) 5183.11 1803.75i 0.731224 0.254470i
\(370\) 1830.27 0.257166
\(371\) 1743.24 3019.38i 0.243948 0.422530i
\(372\) −1217.11 + 205.729i −0.169635 + 0.0286735i
\(373\) −635.013 1099.87i −0.0881494 0.152679i 0.818580 0.574393i \(-0.194762\pi\)
−0.906729 + 0.421714i \(0.861429\pi\)
\(374\) 592.834 + 1026.82i 0.0819645 + 0.141967i
\(375\) −4746.02 5738.16i −0.653556 0.790179i
\(376\) 43.7744 75.8195i 0.00600397 0.0103992i
\(377\) 3420.69 0.467306
\(378\) −5967.99 3616.88i −0.812065 0.492149i
\(379\) 2490.54 0.337548 0.168774 0.985655i \(-0.446019\pi\)
0.168774 + 0.985655i \(0.446019\pi\)
\(380\) −3116.60 + 5398.11i −0.420732 + 0.728729i
\(381\) −104.148 125.920i −0.0140044 0.0169319i
\(382\) 4509.24 + 7810.24i 0.603960 + 1.04609i
\(383\) −156.213 270.568i −0.0208410 0.0360976i 0.855417 0.517940i \(-0.173301\pi\)
−0.876258 + 0.481843i \(0.839968\pi\)
\(384\) 655.805 110.851i 0.0871521 0.0147314i
\(385\) 5777.54 10007.0i 0.764807 1.32468i
\(386\) 6442.25 0.849487
\(387\) −6659.64 5750.85i −0.874750 0.755380i
\(388\) −1608.60 −0.210475
\(389\) −4821.58 + 8351.23i −0.628442 + 1.08849i 0.359422 + 0.933175i \(0.382974\pi\)
−0.987864 + 0.155319i \(0.950360\pi\)
\(390\) −595.935 + 1601.91i −0.0773752 + 0.207990i
\(391\) 132.668 + 229.787i 0.0171593 + 0.0297208i
\(392\) 1102.15 + 1908.98i 0.142008 + 0.245965i
\(393\) −3509.98 + 9435.06i −0.450522 + 1.21103i
\(394\) 3784.20 6554.42i 0.483871 0.838089i
\(395\) −275.191 −0.0350540
\(396\) 865.893 4534.07i 0.109881 0.575368i
\(397\) −2260.32 −0.285749 −0.142874 0.989741i \(-0.545634\pi\)
−0.142874 + 0.989741i \(0.545634\pi\)
\(398\) −2926.27 + 5068.44i −0.368544 + 0.638337i
\(399\) −18266.4 + 3087.58i −2.29188 + 0.387399i
\(400\) 54.6707 + 94.6924i 0.00683384 + 0.0118366i
\(401\) −5084.64 8806.85i −0.633204 1.09674i −0.986893 0.161378i \(-0.948406\pi\)
0.353689 0.935363i \(-0.384927\pi\)
\(402\) 5083.15 + 6145.77i 0.630658 + 0.762496i
\(403\) −449.263 + 778.146i −0.0555320 + 0.0961842i
\(404\) −5325.71 −0.655852
\(405\) 1154.39 + 7840.01i 0.141635 + 0.961909i
\(406\) −11246.1 −1.37471
\(407\) −1799.09 + 3116.12i −0.219110 + 0.379509i
\(408\) 367.482 + 444.303i 0.0445908 + 0.0539124i
\(409\) 474.916 + 822.579i 0.0574159 + 0.0994472i 0.893305 0.449452i \(-0.148381\pi\)
−0.835889 + 0.548899i \(0.815047\pi\)
\(410\) 2209.51 + 3826.99i 0.266147 + 0.460979i
\(411\) −5936.03 + 1003.37i −0.712416 + 0.120420i
\(412\) 1037.01 1796.15i 0.124004 0.214782i
\(413\) 2853.65 0.339998
\(414\) 193.774 1014.66i 0.0230036 0.120454i
\(415\) 3127.65 0.369953
\(416\) 242.073 419.283i 0.0285303 0.0494160i
\(417\) 4188.01 11257.6i 0.491817 1.32204i
\(418\) −6126.99 10612.3i −0.716940 1.24178i
\(419\) 5899.63 + 10218.5i 0.687866 + 1.19142i 0.972527 + 0.232791i \(0.0747859\pi\)
−0.284660 + 0.958628i \(0.591881\pi\)
\(420\) 1959.23 5266.54i 0.227620 0.611859i
\(421\) 3206.46 5553.76i 0.371196 0.642930i −0.618554 0.785742i \(-0.712281\pi\)
0.989750 + 0.142812i \(0.0456145\pi\)
\(422\) −626.948 −0.0723207
\(423\) −223.635 193.117i −0.0257057 0.0221978i
\(424\) 1121.49 0.128453
\(425\) −47.3941 + 82.0890i −0.00540930 + 0.00936918i
\(426\) 3441.48 581.716i 0.391409 0.0661601i
\(427\) 9389.29 + 16262.7i 1.06412 + 1.84311i
\(428\) −2943.74 5098.71i −0.332456 0.575830i
\(429\) −2141.54 2589.22i −0.241013 0.291396i
\(430\) 3542.57 6135.90i 0.397297 0.688138i
\(431\) −12042.7 −1.34589 −0.672945 0.739693i \(-0.734971\pi\)
−0.672945 + 0.739693i \(0.734971\pi\)
\(432\) 47.7073 2244.23i 0.00531323 0.249944i
\(433\) 7279.83 0.807959 0.403980 0.914768i \(-0.367627\pi\)
0.403980 + 0.914768i \(0.367627\pi\)
\(434\) 1477.02 2558.28i 0.163363 0.282952i
\(435\) 8139.35 + 9840.86i 0.897131 + 1.08467i
\(436\) 1287.34 + 2229.73i 0.141404 + 0.244919i
\(437\) −1371.13 2374.87i −0.150092 0.259967i
\(438\) 1714.10 289.736i 0.186993 0.0316075i
\(439\) 1799.35 3116.57i 0.195623 0.338828i −0.751482 0.659754i \(-0.770661\pi\)
0.947104 + 0.320926i \(0.103994\pi\)
\(440\) 3716.89 0.402718
\(441\) 7026.22 2445.16i 0.758689 0.264027i
\(442\) 419.707 0.0451662
\(443\) 7393.18 12805.4i 0.792913 1.37337i −0.131243 0.991350i \(-0.541897\pi\)
0.924156 0.382016i \(-0.124770\pi\)
\(444\) −610.092 + 1639.97i −0.0652110 + 0.175291i
\(445\) 4678.72 + 8103.79i 0.498411 + 0.863273i
\(446\) −710.386 1230.42i −0.0754209 0.130633i
\(447\) −5345.01 + 14367.7i −0.565571 + 1.52029i
\(448\) −795.854 + 1378.46i −0.0839298 + 0.145371i
\(449\) 114.489 0.0120336 0.00601681 0.999982i \(-0.498085\pi\)
0.00601681 + 0.999982i \(0.498085\pi\)
\(450\) 348.526 121.289i 0.0365103 0.0127058i
\(451\) −8687.47 −0.907044
\(452\) −2047.45 + 3546.29i −0.213062 + 0.369035i
\(453\) 8845.16 1495.10i 0.917399 0.155069i
\(454\) 32.6616 + 56.5716i 0.00337640 + 0.00584810i
\(455\) −2045.16 3542.31i −0.210722 0.364981i
\(456\) −3797.96 4591.91i −0.390034 0.471570i
\(457\) −3155.57 + 5465.60i −0.323001 + 0.559453i −0.981106 0.193473i \(-0.938025\pi\)
0.658105 + 0.752926i \(0.271358\pi\)
\(458\) 11007.7 1.12305
\(459\) 1705.55 936.947i 0.173439 0.0952787i
\(460\) 831.786 0.0843092
\(461\) 6872.41 11903.4i 0.694317 1.20259i −0.276094 0.961131i \(-0.589040\pi\)
0.970411 0.241461i \(-0.0776266\pi\)
\(462\) 7040.64 + 8512.47i 0.709005 + 0.857221i
\(463\) −7824.30 13552.1i −0.785369 1.36030i −0.928778 0.370636i \(-0.879140\pi\)
0.143409 0.989664i \(-0.454194\pi\)
\(464\) −1808.74 3132.84i −0.180967 0.313445i
\(465\) −3307.62 + 559.089i −0.329865 + 0.0557573i
\(466\) −6788.81 + 11758.6i −0.674862 + 1.16890i
\(467\) −7395.79 −0.732840 −0.366420 0.930450i \(-0.619417\pi\)
−0.366420 + 0.930450i \(0.619417\pi\)
\(468\) −1236.70 1067.94i −0.122151 0.105482i
\(469\) −19086.7 −1.87919
\(470\) 118.962 206.048i 0.0116751 0.0202219i
\(471\) 2325.16 6250.20i 0.227469 0.611452i
\(472\) 458.963 + 794.948i 0.0447574 + 0.0775221i
\(473\) 6964.41 + 12062.7i 0.677006 + 1.17261i
\(474\) 91.7302 246.577i 0.00888884 0.0238938i
\(475\) 489.822 848.397i 0.0473149 0.0819519i
\(476\) −1379.85 −0.132869
\(477\) 710.012 3717.83i 0.0681535 0.356872i
\(478\) 858.777 0.0821748
\(479\) 3130.53 5422.24i 0.298617 0.517221i −0.677202 0.735797i \(-0.736808\pi\)
0.975820 + 0.218576i \(0.0701412\pi\)
\(480\) 1782.22 301.250i 0.169473 0.0286461i
\(481\) 636.849 + 1103.05i 0.0603697 + 0.104563i
\(482\) −4843.65 8389.45i −0.457722 0.792798i
\(483\) 1575.59 + 1904.97i 0.148431 + 0.179460i
\(484\) −991.561 + 1717.43i −0.0931218 + 0.161292i
\(485\) −4371.54 −0.409281
\(486\) −7409.62 1578.97i −0.691579 0.147374i
\(487\) −10314.7 −0.959763 −0.479881 0.877333i \(-0.659320\pi\)
−0.479881 + 0.877333i \(0.659320\pi\)
\(488\) −3020.23 + 5231.18i −0.280162 + 0.485255i
\(489\) 3424.09 + 4139.89i 0.316652 + 0.382847i
\(490\) 2995.22 + 5187.87i 0.276143 + 0.478294i
\(491\) 1380.45 + 2391.01i 0.126881 + 0.219765i 0.922467 0.386076i \(-0.126170\pi\)
−0.795585 + 0.605841i \(0.792837\pi\)
\(492\) −4165.57 + 704.110i −0.381704 + 0.0645198i
\(493\) 1568.00 2715.86i 0.143244 0.248106i
\(494\) −4337.71 −0.395067
\(495\) 2353.16 12321.8i 0.213670 1.11884i
\(496\) 950.220 0.0860204
\(497\) −4176.41 + 7233.76i −0.376937 + 0.652874i
\(498\) −1042.55 + 2802.44i −0.0938108 + 0.252170i
\(499\) 4793.00 + 8301.71i 0.429988 + 0.744761i 0.996872 0.0790369i \(-0.0251845\pi\)
−0.566884 + 0.823798i \(0.691851\pi\)
\(500\) 2866.18 + 4964.37i 0.256359 + 0.444027i
\(501\) −512.028 + 1376.37i −0.0456602 + 0.122738i
\(502\) 2400.87 4158.43i 0.213459 0.369721i
\(503\) 8829.60 0.782689 0.391344 0.920244i \(-0.372010\pi\)
0.391344 + 0.920244i \(0.372010\pi\)
\(504\) 4065.86 + 3511.03i 0.359341 + 0.310305i
\(505\) −14473.2 −1.27534
\(506\) −817.614 + 1416.15i −0.0718328 + 0.124418i
\(507\) 10083.5 1704.42i 0.883281 0.149302i
\(508\) 62.8963 + 108.940i 0.00549325 + 0.00951458i
\(509\) −2370.87 4106.47i −0.206458 0.357595i 0.744138 0.668025i \(-0.232860\pi\)
−0.950596 + 0.310430i \(0.899527\pi\)
\(510\) 998.671 + 1207.44i 0.0867096 + 0.104836i
\(511\) −2080.15 + 3602.92i −0.180079 + 0.311906i
\(512\) −512.000 −0.0441942
\(513\) −17627.1 + 9683.43i −1.51706 + 0.833400i
\(514\) −5961.99 −0.511619
\(515\) 2818.18 4881.24i 0.241134 0.417656i
\(516\) 4317.05 + 5219.52i 0.368309 + 0.445303i
\(517\) 233.870 + 405.074i 0.0198947 + 0.0344587i
\(518\) −2093.74 3626.47i −0.177594 0.307602i
\(519\) 18099.8 3059.43i 1.53082 0.258755i
\(520\) 657.860 1139.45i 0.0554790 0.0960924i
\(521\) −2753.22 −0.231518 −0.115759 0.993277i \(-0.536930\pi\)
−0.115759 + 0.993277i \(0.536930\pi\)
\(522\) −11530.7 + 4012.75i −0.966833 + 0.336462i
\(523\) 17115.3 1.43098 0.715489 0.698624i \(-0.246204\pi\)
0.715489 + 0.698624i \(0.246204\pi\)
\(524\) 3874.71 6711.20i 0.323030 0.559504i
\(525\) −307.924 + 827.719i −0.0255979 + 0.0688088i
\(526\) 5560.82 + 9631.61i 0.460956 + 0.798400i
\(527\) 411.873 + 713.386i 0.0340446 + 0.0589669i
\(528\) −1238.96 + 3330.42i −0.102119 + 0.274503i
\(529\) 5900.53 10220.0i 0.484962 0.839978i
\(530\) 3047.76 0.249786
\(531\) 2925.89 1018.22i 0.239120 0.0832150i
\(532\) 14260.9 1.16220
\(533\) −1537.61 + 2663.22i −0.124956 + 0.216430i
\(534\) −8820.75 + 1490.98i −0.714815 + 0.120826i
\(535\) −7999.93 13856.3i −0.646481 1.11974i
\(536\) −3069.78 5317.02i −0.247377 0.428470i
\(537\) −13421.6 16227.4i −1.07856 1.30403i
\(538\) 6288.50 10892.0i 0.503934 0.872840i
\(539\) −11776.7 −0.941113
\(540\) 129.650 6098.94i 0.0103319 0.486030i
\(541\) 17880.1 1.42093 0.710467 0.703731i \(-0.248484\pi\)
0.710467 + 0.703731i \(0.248484\pi\)
\(542\) 6854.90 11873.0i 0.543253 0.940941i
\(543\) −9375.43 11335.3i −0.740954 0.895849i
\(544\) −221.927 384.389i −0.0174909 0.0302951i
\(545\) 3498.47 + 6059.53i 0.274969 + 0.476260i
\(546\) 3855.71 651.734i 0.302215 0.0510836i
\(547\) 6534.73 11318.5i 0.510795 0.884723i −0.489127 0.872213i \(-0.662684\pi\)
0.999922 0.0125101i \(-0.00398218\pi\)
\(548\) 4634.38 0.361261
\(549\) 15429.7 + 13324.2i 1.19950 + 1.03581i
\(550\) −584.168 −0.0452891
\(551\) −16205.5 + 28068.7i −1.25295 + 2.17017i
\(552\) −277.262 + 745.299i −0.0213787 + 0.0574675i
\(553\) 314.804 + 545.257i 0.0242077 + 0.0419289i
\(554\) 898.172 + 1555.68i 0.0688803 + 0.119304i
\(555\) −1657.99 + 4456.79i −0.126807 + 0.340865i
\(556\) −4623.20 + 8007.61i −0.352639 + 0.610788i
\(557\) 9507.62 0.723251 0.361626 0.932323i \(-0.382222\pi\)
0.361626 + 0.932323i \(0.382222\pi\)
\(558\) 601.582 3150.06i 0.0456398 0.238983i
\(559\) 4930.58 0.373061
\(560\) −2162.82 + 3746.11i −0.163207 + 0.282682i
\(561\) −3037.37 + 513.409i −0.228588 + 0.0386384i
\(562\) 238.770 + 413.561i 0.0179215 + 0.0310410i
\(563\) 10222.3 + 17705.6i 0.765221 + 1.32540i 0.940130 + 0.340817i \(0.110704\pi\)
−0.174909 + 0.984585i \(0.555963\pi\)
\(564\) 144.969 + 175.275i 0.0108233 + 0.0130858i
\(565\) −5564.17 + 9637.43i −0.414313 + 0.717610i
\(566\) −4142.33 −0.307624
\(567\) 14213.4 11255.9i 1.05275 0.833689i
\(568\) −2686.83 −0.198480
\(569\) −1323.03 + 2291.56i −0.0974770 + 0.168835i −0.910640 0.413201i \(-0.864411\pi\)
0.813163 + 0.582036i \(0.197744\pi\)
\(570\) −10321.4 12479.0i −0.758445 0.916996i
\(571\) −878.514 1521.63i −0.0643864 0.111521i 0.832035 0.554723i \(-0.187176\pi\)
−0.896422 + 0.443202i \(0.853842\pi\)
\(572\) 1293.30 + 2240.06i 0.0945379 + 0.163744i
\(573\) −23103.0 + 3905.12i −1.68437 + 0.284710i
\(574\) 5055.14 8755.76i 0.367592 0.636687i
\(575\) −130.728 −0.00948130
\(576\) −324.146 + 1697.33i −0.0234481 + 0.122781i
\(577\) −7515.43 −0.542238 −0.271119 0.962546i \(-0.587394\pi\)
−0.271119 + 0.962546i \(0.587394\pi\)
\(578\) −4720.61 + 8176.34i −0.339709 + 0.588392i
\(579\) −5835.83 + 15687.1i −0.418876 + 1.12597i
\(580\) −4915.45 8513.82i −0.351902 0.609512i
\(581\) −3577.87 6197.06i −0.255482 0.442508i
\(582\) 1457.18 3916.99i 0.103783 0.278977i
\(583\) −2995.83 + 5188.94i −0.212821 + 0.368617i
\(584\) −1338.23 −0.0948226
\(585\) −3360.88 2902.24i −0.237530 0.205116i
\(586\) 13155.5 0.927388
\(587\) 2476.24 4288.98i 0.174115 0.301576i −0.765740 0.643151i \(-0.777627\pi\)
0.939855 + 0.341575i \(0.110960\pi\)
\(588\) −5646.85 + 954.492i −0.396041 + 0.0669432i
\(589\) −4256.75 7372.91i −0.297787 0.515782i
\(590\) 1247.28 + 2160.36i 0.0870335 + 0.150747i
\(591\) 12532.3 + 15152.1i 0.872265 + 1.05461i
\(592\) 673.488 1166.51i 0.0467571 0.0809856i
\(593\) 17115.3 1.18523 0.592613 0.805487i \(-0.298096\pi\)
0.592613 + 0.805487i \(0.298096\pi\)
\(594\) 10256.2 + 6215.75i 0.708449 + 0.429353i
\(595\) −3749.90 −0.258371
\(596\) 5900.42 10219.8i 0.405521 0.702384i
\(597\) −9691.02 11716.9i −0.664367 0.803251i
\(598\) 289.422 + 501.294i 0.0197916 + 0.0342800i
\(599\) −4207.06 7286.85i −0.286972 0.497049i 0.686114 0.727494i \(-0.259315\pi\)
−0.973085 + 0.230445i \(0.925982\pi\)
\(600\) −280.104 + 47.3462i −0.0190587 + 0.00322150i
\(601\) −14047.1 + 24330.3i −0.953399 + 1.65134i −0.215409 + 0.976524i \(0.569108\pi\)
−0.737990 + 0.674812i \(0.764225\pi\)
\(602\) −16210.1 −1.09746
\(603\) −19569.9 + 6810.40i −1.32164 + 0.459935i
\(604\) −6905.59 −0.465206
\(605\) −2694.67 + 4667.31i −0.181081 + 0.313642i
\(606\) 4824.40 12968.3i 0.323396 0.869309i
\(607\) −715.423 1239.15i −0.0478388 0.0828592i 0.841114 0.540857i \(-0.181900\pi\)
−0.888953 + 0.457998i \(0.848567\pi\)
\(608\) 2293.63 + 3972.69i 0.152992 + 0.264990i
\(609\) 10187.5 27384.6i 0.677860 1.82213i
\(610\) −8207.78 + 14216.3i −0.544793 + 0.943608i
\(611\) 165.572 0.0109629
\(612\) −1414.78 + 492.351i −0.0934465 + 0.0325198i
\(613\) 14438.1 0.951306 0.475653 0.879633i \(-0.342212\pi\)
0.475653 + 0.879633i \(0.342212\pi\)
\(614\) −5237.30 + 9071.27i −0.344235 + 0.596233i
\(615\) −11320.4 + 1913.49i −0.742247 + 0.125463i
\(616\) −4251.93 7364.56i −0.278109 0.481699i
\(617\) −12722.5 22036.0i −0.830125 1.43782i −0.897938 0.440121i \(-0.854935\pi\)
0.0678130 0.997698i \(-0.478398\pi\)
\(618\) 3434.30 + 4152.23i 0.223540 + 0.270271i
\(619\) 1739.73 3013.30i 0.112966 0.195662i −0.803999 0.594631i \(-0.797298\pi\)
0.916965 + 0.398968i \(0.130632\pi\)
\(620\) 2582.32 0.167272
\(621\) 2295.20 + 1391.00i 0.148314 + 0.0898853i
\(622\) −11410.0 −0.735528
\(623\) 10704.4 18540.6i 0.688386 1.19232i
\(624\) 801.683 + 969.272i 0.0514311 + 0.0621826i
\(625\) 7362.03 + 12751.4i 0.471170 + 0.816091i
\(626\) 5077.48 + 8794.45i 0.324180 + 0.561497i
\(627\) 31391.5 5306.13i 1.99945 0.337969i
\(628\) −2566.78 + 4445.79i −0.163098 + 0.282494i
\(629\) 1167.70 0.0740208
\(630\) 11049.4 + 9541.59i 0.698760 + 0.603406i
\(631\) 11151.7 0.703552 0.351776 0.936084i \(-0.385578\pi\)
0.351776 + 0.936084i \(0.385578\pi\)
\(632\) −101.262 + 175.391i −0.00637341 + 0.0110391i
\(633\) 567.933 1526.64i 0.0356608 0.0958587i
\(634\) 2868.91 + 4969.10i 0.179714 + 0.311275i
\(635\) 170.927 + 296.055i 0.0106820 + 0.0185017i
\(636\) −1015.92 + 2730.86i −0.0633394 + 0.170261i
\(637\) −2084.39 + 3610.26i −0.129649 + 0.224559i
\(638\) 19326.8 1.19930
\(639\) −1701.03 + 8907.08i −0.105308 + 0.551422i
\(640\) −1391.41 −0.0859383
\(641\) 546.388 946.373i 0.0336678 0.0583143i −0.848701 0.528874i \(-0.822615\pi\)
0.882368 + 0.470559i \(0.155948\pi\)
\(642\) 15082.2 2549.35i 0.927175 0.156721i
\(643\) −15847.0 27447.8i −0.971922 1.68342i −0.689741 0.724056i \(-0.742276\pi\)
−0.282181 0.959361i \(-0.591058\pi\)
\(644\) −951.521 1648.08i −0.0582223 0.100844i
\(645\) 11732.0 + 14184.6i 0.716200 + 0.865919i
\(646\) −1988.36 + 3443.93i −0.121100 + 0.209752i
\(647\) −13719.9 −0.833672 −0.416836 0.908982i \(-0.636861\pi\)
−0.416836 + 0.908982i \(0.636861\pi\)
\(648\) 5421.57 + 2149.15i 0.328672 + 0.130288i
\(649\) −4904.12 −0.296616
\(650\) −103.393 + 179.082i −0.00623909 + 0.0108064i
\(651\) 4891.51 + 5914.07i 0.294491 + 0.356053i
\(652\) −2067.85 3581.63i −0.124208 0.215134i
\(653\) −6642.59 11505.3i −0.398078 0.689491i 0.595411 0.803421i \(-0.296989\pi\)
−0.993489 + 0.113930i \(0.963656\pi\)
\(654\) −6595.63 + 1114.87i −0.394357 + 0.0666585i
\(655\) 10529.9 18238.4i 0.628151 1.08799i
\(656\) 3252.15 0.193559
\(657\) −847.232 + 4436.36i −0.0503100 + 0.263438i
\(658\) −544.344 −0.0322504
\(659\) 1296.99 2246.45i 0.0766670 0.132791i −0.825143 0.564924i \(-0.808905\pi\)
0.901810 + 0.432133i \(0.142239\pi\)
\(660\) −3367.02 + 9050.76i −0.198577 + 0.533789i
\(661\) 7937.67 + 13748.4i 0.467079 + 0.809005i 0.999293 0.0376052i \(-0.0119729\pi\)
−0.532213 + 0.846610i \(0.678640\pi\)
\(662\) 2031.35 + 3518.40i 0.119261 + 0.206566i
\(663\) −380.200 + 1022.00i −0.0222711 + 0.0598662i
\(664\) 1150.88 1993.39i 0.0672635 0.116504i
\(665\) 38755.6 2.25996
\(666\) −3440.72 2971.19i −0.200188 0.172870i
\(667\) 4325.06 0.251075
\(668\) 565.235 979.015i 0.0327389 0.0567054i
\(669\) 3639.64 615.212i 0.210339 0.0355538i
\(670\) −8342.46 14449.6i −0.481041 0.833187i
\(671\) −16135.9 27948.2i −0.928344 1.60794i
\(672\) −2635.66 3186.64i −0.151299 0.182927i
\(673\) −10717.3 + 18563.0i −0.613853 + 1.06323i 0.376731 + 0.926323i \(0.377048\pi\)
−0.990585 + 0.136903i \(0.956285\pi\)
\(674\) −19596.6 −1.11993
\(675\) −20.3765 + 958.544i −0.00116191 + 0.0546583i
\(676\) −7872.38 −0.447905
\(677\) 10166.5 17608.9i 0.577150 0.999653i −0.418655 0.908146i \(-0.637498\pi\)
0.995804 0.0915074i \(-0.0291685\pi\)
\(678\) −6780.63 8198.10i −0.384083 0.464375i
\(679\) 5000.81 + 8661.66i 0.282642 + 0.489549i
\(680\) −603.110 1044.62i −0.0340121 0.0589106i
\(681\) −167.341 + 28.2858i −0.00941634 + 0.00159165i
\(682\) −2538.32 + 4396.51i −0.142518 + 0.246849i
\(683\) −27149.0 −1.52097 −0.760487 0.649353i \(-0.775040\pi\)
−0.760487 + 0.649353i \(0.775040\pi\)
\(684\) 14621.9 5088.50i 0.817373 0.284450i
\(685\) 12594.4 0.702493
\(686\) −1677.81 + 2906.05i −0.0933804 + 0.161740i
\(687\) −9971.53 + 26804.1i −0.553766 + 1.48856i
\(688\) −2607.12 4515.67i −0.144470 0.250230i
\(689\) 1060.48 + 1836.80i 0.0586371 + 0.101562i
\(690\) −753.489 + 2025.43i −0.0415723 + 0.111749i
\(691\) −11355.1 + 19667.6i −0.625134 + 1.08276i 0.363381 + 0.931641i \(0.381622\pi\)
−0.988515 + 0.151123i \(0.951711\pi\)
\(692\) −14130.9 −0.776266
\(693\) −27106.1 + 9433.04i −1.48582 + 0.517073i
\(694\) 9113.12 0.498457
\(695\) −12564.0 + 21761.5i −0.685728 + 1.18771i
\(696\) 9267.05 1566.42i 0.504694 0.0853088i
\(697\) 1409.65 + 2441.58i 0.0766056 + 0.132685i
\(698\) 3348.89 + 5800.45i 0.181601 + 0.314542i
\(699\) −22482.8 27182.7i −1.21656 1.47088i
\(700\) 339.921 588.760i 0.0183540 0.0317901i
\(701\) −20079.5 −1.08187 −0.540936 0.841064i \(-0.681930\pi\)
−0.540936 + 0.841064i \(0.681930\pi\)
\(702\) 3720.77 2044.00i 0.200045 0.109895i
\(703\) −12068.2 −0.647457
\(704\) 1367.71 2368.94i 0.0732207 0.126822i
\(705\) 393.970 + 476.328i 0.0210465 + 0.0254462i
\(706\) 1862.27 + 3225.54i 0.0992739 + 0.171947i
\(707\) 16556.6 + 28676.9i 0.880728 + 1.52547i
\(708\) −2351.49 + 397.474i −0.124822 + 0.0210989i
\(709\) 14491.8 25100.6i 0.767634 1.32958i −0.171209 0.985235i \(-0.554767\pi\)
0.938843 0.344346i \(-0.111899\pi\)
\(710\) −7301.74 −0.385957
\(711\) 517.328 + 446.733i 0.0272874 + 0.0235637i
\(712\) 6886.54 0.362477
\(713\) −568.040 + 983.875i −0.0298363 + 0.0516780i
\(714\) 1249.97 3359.99i 0.0655166 0.176113i
\(715\) 3514.69 + 6087.61i 0.183835 + 0.318411i
\(716\) 8105.49 + 14039.1i 0.423067 + 0.732774i
\(717\) −777.940 + 2091.15i −0.0405198 + 0.108920i
\(718\) 6179.46 10703.1i 0.321191 0.556320i
\(719\) 14496.2 0.751901 0.375951 0.926640i \(-0.377316\pi\)
0.375951 + 0.926640i \(0.377316\pi\)
\(720\) −880.902 + 4612.66i −0.0455962 + 0.238755i
\(721\) −12895.4 −0.666090
\(722\) 13690.8 23713.2i 0.705706 1.22232i
\(723\) 24816.3 4194.72i 1.27653 0.215772i
\(724\) 5661.94 + 9806.77i 0.290641 + 0.503405i
\(725\) 772.541 + 1338.08i 0.0395744 + 0.0685449i
\(726\) −3283.79 3970.26i −0.167869 0.202961i
\(727\) −2500.25 + 4330.56i −0.127550 + 0.220924i −0.922727 0.385454i \(-0.874045\pi\)
0.795177 + 0.606378i \(0.207378\pi\)
\(728\) −3010.23 −0.153251
\(729\) 10557.0 16612.4i 0.536351 0.843995i
\(730\) −3636.79 −0.184388
\(731\) 2260.12 3914.64i 0.114355 0.198069i
\(732\) −10002.2 12093.1i −0.505043 0.610621i
\(733\) −8757.79 15168.9i −0.441305 0.764362i 0.556482 0.830860i \(-0.312151\pi\)
−0.997787 + 0.0664977i \(0.978817\pi\)
\(734\) 6873.95 + 11906.0i 0.345671 + 0.598719i
\(735\) −15345.9 + 2593.93i −0.770126 + 0.130175i
\(736\) 306.073 530.134i 0.0153288 0.0265503i
\(737\) 32801.3 1.63942
\(738\) 2058.93 10781.2i 0.102697 0.537750i
\(739\) −20169.2 −1.00397 −0.501985 0.864876i \(-0.667397\pi\)
−0.501985 + 0.864876i \(0.667397\pi\)
\(740\) 1830.27 3170.13i 0.0909219 0.157481i
\(741\) 3929.40 10562.5i 0.194804 0.523647i
\(742\) −3486.48 6038.77i −0.172497 0.298774i
\(743\) 18351.3 + 31785.4i 0.906116 + 1.56944i 0.819412 + 0.573205i \(0.194300\pi\)
0.0867044 + 0.996234i \(0.472366\pi\)
\(744\) −860.774 + 2313.82i −0.0424160 + 0.114017i
\(745\) 16035.0 27773.5i 0.788561 1.36583i
\(746\) −2540.05 −0.124662
\(747\) −5879.64 5077.29i −0.287985 0.248686i
\(748\) 2371.34 0.115915
\(749\) −18303.0 + 31701.8i −0.892894 + 1.54654i
\(750\) −14684.8 + 2482.18i −0.714951 + 0.120849i
\(751\) 16660.0 + 28856.0i 0.809499 + 1.40209i 0.913212 + 0.407485i \(0.133594\pi\)
−0.103713 + 0.994607i \(0.533072\pi\)
\(752\) −87.5489 151.639i −0.00424545 0.00735334i
\(753\) 7951.06 + 9613.21i 0.384798 + 0.465239i
\(754\) 3420.69 5924.81i 0.165218 0.286166i
\(755\) −18766.7 −0.904622
\(756\) −12232.6 + 6719.99i −0.588486 + 0.323285i
\(757\) 26515.6 1.27309 0.636543 0.771241i \(-0.280364\pi\)
0.636543 + 0.771241i \(0.280364\pi\)
\(758\) 2490.54 4313.74i 0.119341 0.206705i
\(759\) −2707.72 3273.77i −0.129492 0.156562i
\(760\) 6233.20 + 10796.2i 0.297502 + 0.515289i
\(761\) 2842.17 + 4922.79i 0.135386 + 0.234495i 0.925745 0.378149i \(-0.123439\pi\)
−0.790359 + 0.612644i \(0.790106\pi\)
\(762\) −322.247 + 54.4698i −0.0153199 + 0.00258954i
\(763\) 8004.14 13863.6i 0.379777 0.657792i
\(764\) 18037.0 0.854129
\(765\) −3844.82 + 1338.02i −0.181712 + 0.0632367i
\(766\) −624.851 −0.0294736
\(767\) −867.990 + 1503.40i −0.0408622 + 0.0707754i
\(768\) 463.805 1246.74i 0.0217918 0.0585779i
\(769\) 199.189 + 345.005i 0.00934060 + 0.0161784i 0.870658 0.491889i \(-0.163693\pi\)
−0.861317 + 0.508067i \(0.830360\pi\)