Properties

Label 11.5.d.a.2.3
Level 11
Weight 5
Character 11.2
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 11 \)
Weight: \( k \) = \( 5 \)
Character orbit: \([\chi]\) = 11.d (of order \(10\) and degree \(4\))

Newform invariants

Self dual: No
Analytic conductor: \(1.13706959392\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.3
Root \(-5.04186i\)
Character \(\chi\) = 11.2
Dual form 11.5.d.a.6.3

$q$-expansion

\(f(q)\) \(=\) \(q+(3.67706 + 1.19475i) q^{2} +(-1.64569 + 1.19566i) q^{3} +(-0.850950 - 0.618251i) q^{4} +(-1.76709 - 5.43854i) q^{5} +(-7.47979 + 2.43033i) q^{6} +(-2.52826 + 3.47985i) q^{7} +(-38.7511 - 53.3363i) q^{8} +(-23.7517 + 73.1002i) q^{9} +O(q^{10})\) \(q+(3.67706 + 1.19475i) q^{2} +(-1.64569 + 1.19566i) q^{3} +(-0.850950 - 0.618251i) q^{4} +(-1.76709 - 5.43854i) q^{5} +(-7.47979 + 2.43033i) q^{6} +(-2.52826 + 3.47985i) q^{7} +(-38.7511 - 53.3363i) q^{8} +(-23.7517 + 73.1002i) q^{9} -22.1090i q^{10} +(120.958 + 3.19753i) q^{11} +2.13961 q^{12} +(189.406 + 61.5418i) q^{13} +(-13.4541 + 9.77497i) q^{14} +(9.41072 + 6.83729i) q^{15} +(-73.5659 - 226.413i) q^{16} +(-269.440 + 87.5465i) q^{17} +(-174.673 + 240.416i) q^{18} +(-237.059 - 326.284i) q^{19} +(-1.85868 + 5.72043i) q^{20} -8.74968i q^{21} +(440.948 + 156.272i) q^{22} -189.240 q^{23} +(127.544 + 41.4416i) q^{24} +(479.181 - 348.145i) q^{25} +(622.930 + 452.585i) q^{26} +(-99.2315 - 305.403i) q^{27} +(4.30284 - 1.39808i) q^{28} +(-797.600 + 1097.80i) q^{29} +(26.4349 + 36.3845i) q^{30} +(421.011 - 1295.74i) q^{31} +134.411i q^{32} +(-202.882 + 139.362i) q^{33} -1095.34 q^{34} +(23.3929 + 7.60083i) q^{35} +(65.4058 - 47.5201i) q^{36} +(690.326 + 501.551i) q^{37} +(-481.853 - 1482.99i) q^{38} +(-385.286 + 125.187i) q^{39} +(-221.595 + 304.999i) q^{40} +(218.820 + 301.180i) q^{41} +(10.4537 - 32.1731i) q^{42} +854.475i q^{43} +(-100.952 - 77.5032i) q^{44} +439.530 q^{45} +(-695.846 - 226.094i) q^{46} +(1283.36 - 932.413i) q^{47} +(391.779 + 284.644i) q^{48} +(736.233 + 2265.89i) q^{49} +(2177.92 - 707.649i) q^{50} +(338.738 - 466.233i) q^{51} +(-123.127 - 169.469i) q^{52} +(-274.987 + 846.322i) q^{53} -1241.54i q^{54} +(-196.353 - 663.484i) q^{55} +283.575 q^{56} +(780.250 + 253.519i) q^{57} +(-4244.42 + 3083.75i) q^{58} +(-4679.23 - 3399.66i) q^{59} +(-3.78089 - 11.6364i) q^{60} +(-3716.82 + 1207.67i) q^{61} +(3096.16 - 4261.50i) q^{62} +(-194.327 - 267.468i) q^{63} +(-1337.64 + 4116.84i) q^{64} -1138.84i q^{65} +(-912.510 + 270.051i) q^{66} +6198.68 q^{67} +(283.406 + 92.0841i) q^{68} +(311.430 - 226.267i) q^{69} +(76.9361 + 55.8974i) q^{70} +(1651.10 + 5081.57i) q^{71} +(4819.30 - 1565.88i) q^{72} +(3573.88 - 4919.03i) q^{73} +(1939.14 + 2669.00i) q^{74} +(-372.317 + 1145.87i) q^{75} +424.213i q^{76} +(-316.939 + 412.830i) q^{77} -1566.29 q^{78} +(-4601.08 - 1494.98i) q^{79} +(-1101.36 + 800.182i) q^{80} +(-4508.34 - 3275.50i) q^{81} +(444.780 + 1368.89i) q^{82} +(-2421.43 + 786.770i) q^{83} +(-5.40950 + 7.44553i) q^{84} +(952.250 + 1310.66i) q^{85} +(-1020.88 + 3141.95i) q^{86} -2760.30i q^{87} +(-4516.70 - 6575.34i) q^{88} -1607.22 q^{89} +(1616.18 + 525.127i) q^{90} +(-693.023 + 503.511i) q^{91} +(161.034 + 116.998i) q^{92} +(856.411 + 2635.76i) q^{93} +(5832.97 - 1895.25i) q^{94} +(-1355.60 + 1865.83i) q^{95} +(-160.710 - 221.199i) q^{96} +(4666.32 - 14361.5i) q^{97} +9211.42i q^{98} +(-3106.69 + 8766.09i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} + O(q^{10}) \) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} - 43q^{11} + 594q^{12} + 250q^{13} + 610q^{14} + 1134q^{15} - 633q^{16} - 1250q^{17} - 3150q^{18} - 1025q^{19} + 752q^{20} - 35q^{22} + 1684q^{23} + 5345q^{24} + 197q^{25} + 3490q^{26} - 687q^{27} - 3580q^{28} - 2690q^{29} - 6740q^{30} - 1136q^{31} + 5939q^{33} + 2370q^{34} + 3610q^{35} - 514q^{36} - 336q^{37} + 1900q^{38} - 6880q^{39} - 2340q^{40} - 4550q^{41} + 1310q^{42} - 6268q^{44} + 5136q^{45} + 4150q^{46} + 24q^{47} + 344q^{48} + 827q^{49} + 8895q^{50} + 13155q^{51} + 14070q^{52} + 414q^{53} - 2738q^{55} - 21340q^{56} - 26925q^{57} + 2980q^{58} - 10011q^{59} - 6856q^{60} + 9460q^{61} - 6200q^{62} + 9150q^{63} - 2633q^{64} - 3210q^{66} + 12154q^{67} - 9400q^{68} - 9022q^{69} - 9380q^{70} + 17574q^{71} + 43045q^{72} + 27950q^{73} + 43270q^{74} - 1761q^{75} + 4090q^{77} - 42920q^{78} - 41540q^{79} - 2308q^{80} - 21080q^{81} - 28175q^{82} - 18665q^{83} + 26250q^{84} - 4230q^{85} - 10125q^{86} - 15125q^{88} + 5554q^{89} + 18400q^{90} + 7390q^{91} + 3904q^{92} + 36898q^{93} + 18920q^{94} + 14110q^{95} - 21140q^{96} + 20769q^{97} - 3269q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.67706 + 1.19475i 0.919264 + 0.298687i 0.730165 0.683271i \(-0.239443\pi\)
0.189099 + 0.981958i \(0.439443\pi\)
\(3\) −1.64569 + 1.19566i −0.182854 + 0.132851i −0.675447 0.737409i \(-0.736049\pi\)
0.492593 + 0.870260i \(0.336049\pi\)
\(4\) −0.850950 0.618251i −0.0531844 0.0386407i
\(5\) −1.76709 5.43854i −0.0706835 0.217542i 0.909474 0.415760i \(-0.136484\pi\)
−0.980158 + 0.198219i \(0.936484\pi\)
\(6\) −7.47979 + 2.43033i −0.207772 + 0.0675092i
\(7\) −2.52826 + 3.47985i −0.0515971 + 0.0710173i −0.834036 0.551710i \(-0.813975\pi\)
0.782439 + 0.622727i \(0.213975\pi\)
\(8\) −38.7511 53.3363i −0.605485 0.833379i
\(9\) −23.7517 + 73.1002i −0.293231 + 0.902472i
\(10\) 22.1090i 0.221090i
\(11\) 120.958 + 3.19753i 0.999651 + 0.0264259i
\(12\) 2.13961 0.0148584
\(13\) 189.406 + 61.5418i 1.12075 + 0.364152i 0.810052 0.586358i \(-0.199439\pi\)
0.310694 + 0.950510i \(0.399439\pi\)
\(14\) −13.4541 + 9.77497i −0.0686433 + 0.0498723i
\(15\) 9.41072 + 6.83729i 0.0418254 + 0.0303880i
\(16\) −73.5659 226.413i −0.287367 0.884424i
\(17\) −269.440 + 87.5465i −0.932319 + 0.302929i −0.735511 0.677513i \(-0.763058\pi\)
−0.196809 + 0.980442i \(0.563058\pi\)
\(18\) −174.673 + 240.416i −0.539113 + 0.742026i
\(19\) −237.059 326.284i −0.656674 0.903834i 0.342692 0.939448i \(-0.388661\pi\)
−0.999366 + 0.0356142i \(0.988661\pi\)
\(20\) −1.85868 + 5.72043i −0.00464670 + 0.0143011i
\(21\) 8.74968i 0.0198405i
\(22\) 440.948 + 156.272i 0.911050 + 0.322875i
\(23\) −189.240 −0.357731 −0.178866 0.983873i \(-0.557243\pi\)
−0.178866 + 0.983873i \(0.557243\pi\)
\(24\) 127.544 + 41.4416i 0.221431 + 0.0719473i
\(25\) 479.181 348.145i 0.766689 0.557032i
\(26\) 622.930 + 452.585i 0.921494 + 0.669505i
\(27\) −99.2315 305.403i −0.136120 0.418934i
\(28\) 4.30284 1.39808i 0.00548832 0.00178326i
\(29\) −797.600 + 1097.80i −0.948394 + 1.30535i 0.00384249 + 0.999993i \(0.498777\pi\)
−0.952237 + 0.305360i \(0.901223\pi\)
\(30\) 26.4349 + 36.3845i 0.0293721 + 0.0404273i
\(31\) 421.011 1295.74i 0.438096 1.34832i −0.451784 0.892128i \(-0.649212\pi\)
0.889880 0.456195i \(-0.150788\pi\)
\(32\) 134.411i 0.131261i
\(33\) −202.882 + 139.362i −0.186301 + 0.127973i
\(34\) −1095.34 −0.947529
\(35\) 23.3929 + 7.60083i 0.0190963 + 0.00620476i
\(36\) 65.4058 47.5201i 0.0504674 0.0366667i
\(37\) 690.326 + 501.551i 0.504255 + 0.366363i 0.810640 0.585545i \(-0.199119\pi\)
−0.306385 + 0.951908i \(0.599119\pi\)
\(38\) −481.853 1482.99i −0.333693 1.02700i
\(39\) −385.286 + 125.187i −0.253311 + 0.0823057i
\(40\) −221.595 + 304.999i −0.138497 + 0.190624i
\(41\) 218.820 + 301.180i 0.130173 + 0.179167i 0.869128 0.494587i \(-0.164681\pi\)
−0.738956 + 0.673754i \(0.764681\pi\)
\(42\) 10.4537 32.1731i 0.00592611 0.0182387i
\(43\) 854.475i 0.462128i 0.972939 + 0.231064i \(0.0742207\pi\)
−0.972939 + 0.231064i \(0.925779\pi\)
\(44\) −100.952 77.5032i −0.0521447 0.0400326i
\(45\) 439.530 0.217052
\(46\) −695.846 226.094i −0.328850 0.106850i
\(47\) 1283.36 932.413i 0.580967 0.422097i −0.258106 0.966117i \(-0.583098\pi\)
0.839073 + 0.544020i \(0.183098\pi\)
\(48\) 391.779 + 284.644i 0.170043 + 0.123544i
\(49\) 736.233 + 2265.89i 0.306636 + 0.943728i
\(50\) 2177.92 707.649i 0.871168 0.283060i
\(51\) 338.738 466.233i 0.130234 0.179252i
\(52\) −123.127 169.469i −0.0455350 0.0626736i
\(53\) −274.987 + 846.322i −0.0978949 + 0.301289i −0.987997 0.154471i \(-0.950633\pi\)
0.890102 + 0.455761i \(0.150633\pi\)
\(54\) 1241.54i 0.425769i
\(55\) −196.353 663.484i −0.0649101 0.219333i
\(56\) 283.575 0.0904256
\(57\) 780.250 + 253.519i 0.240151 + 0.0780297i
\(58\) −4244.42 + 3083.75i −1.26172 + 0.916691i
\(59\) −4679.23 3399.66i −1.34422 0.976632i −0.999277 0.0380079i \(-0.987899\pi\)
−0.344941 0.938624i \(-0.612101\pi\)
\(60\) −3.78089 11.6364i −0.00105025 0.00323233i
\(61\) −3716.82 + 1207.67i −0.998877 + 0.324555i −0.762417 0.647086i \(-0.775987\pi\)
−0.236460 + 0.971641i \(0.575987\pi\)
\(62\) 3096.16 4261.50i 0.805453 1.10861i
\(63\) −194.327 267.468i −0.0489613 0.0673894i
\(64\) −1337.64 + 4116.84i −0.326573 + 1.00509i
\(65\) 1138.84i 0.269548i
\(66\) −912.510 + 270.051i −0.209484 + 0.0619951i
\(67\) 6198.68 1.38086 0.690430 0.723399i \(-0.257421\pi\)
0.690430 + 0.723399i \(0.257421\pi\)
\(68\) 283.406 + 92.0841i 0.0612902 + 0.0199144i
\(69\) 311.430 226.267i 0.0654126 0.0475251i
\(70\) 76.9361 + 55.8974i 0.0157012 + 0.0114076i
\(71\) 1651.10 + 5081.57i 0.327535 + 1.00805i 0.970283 + 0.241971i \(0.0777940\pi\)
−0.642749 + 0.766077i \(0.722206\pi\)
\(72\) 4819.30 1565.88i 0.929648 0.302061i
\(73\) 3573.88 4919.03i 0.670648 0.923068i −0.329127 0.944286i \(-0.606754\pi\)
0.999775 + 0.0212178i \(0.00675434\pi\)
\(74\) 1939.14 + 2669.00i 0.354116 + 0.487399i
\(75\) −372.317 + 1145.87i −0.0661897 + 0.203711i
\(76\) 424.213i 0.0734441i
\(77\) −316.939 + 412.830i −0.0534558 + 0.0696290i
\(78\) −1566.29 −0.257443
\(79\) −4601.08 1494.98i −0.737235 0.239542i −0.0837555 0.996486i \(-0.526691\pi\)
−0.653480 + 0.756944i \(0.726691\pi\)
\(80\) −1101.36 + 800.182i −0.172087 + 0.125029i
\(81\) −4508.34 3275.50i −0.687142 0.499238i
\(82\) 444.780 + 1368.89i 0.0661481 + 0.203583i
\(83\) −2421.43 + 786.770i −0.351492 + 0.114207i −0.479441 0.877574i \(-0.659161\pi\)
0.127949 + 0.991781i \(0.459161\pi\)
\(84\) −5.40950 + 7.44553i −0.000766652 + 0.00105521i
\(85\) 952.250 + 1310.66i 0.131799 + 0.181406i
\(86\) −1020.88 + 3141.95i −0.138032 + 0.424818i
\(87\) 2760.30i 0.364684i
\(88\) −4516.70 6575.34i −0.583251 0.849089i
\(89\) −1607.22 −0.202906 −0.101453 0.994840i \(-0.532349\pi\)
−0.101453 + 0.994840i \(0.532349\pi\)
\(90\) 1616.18 + 525.127i 0.199528 + 0.0648305i
\(91\) −693.023 + 503.511i −0.0836884 + 0.0608031i
\(92\) 161.034 + 116.998i 0.0190257 + 0.0138230i
\(93\) 856.411 + 2635.76i 0.0990185 + 0.304748i
\(94\) 5832.97 1895.25i 0.660137 0.214492i
\(95\) −1355.60 + 1865.83i −0.150205 + 0.206740i
\(96\) −160.710 221.199i −0.0174382 0.0240016i
\(97\) 4666.32 14361.5i 0.495943 1.52635i −0.319540 0.947573i \(-0.603528\pi\)
0.815483 0.578781i \(-0.196472\pi\)
\(98\) 9211.42i 0.959123i
\(99\) −3106.69 + 8766.09i −0.316977 + 0.894408i
\(100\) −623.000 −0.0623000
\(101\) −4217.78 1370.44i −0.413467 0.134344i 0.0948944 0.995487i \(-0.469749\pi\)
−0.508362 + 0.861144i \(0.669749\pi\)
\(102\) 1802.59 1309.66i 0.173259 0.125880i
\(103\) 12242.8 + 8894.90i 1.15400 + 0.838430i 0.989008 0.147865i \(-0.0472402\pi\)
0.164992 + 0.986295i \(0.447240\pi\)
\(104\) −4057.28 12487.0i −0.375118 1.15450i
\(105\) −47.5855 + 15.4615i −0.00431614 + 0.00140240i
\(106\) −2022.28 + 2783.43i −0.179982 + 0.247725i
\(107\) 7188.59 + 9894.25i 0.627880 + 0.864202i 0.997897 0.0648227i \(-0.0206482\pi\)
−0.370017 + 0.929025i \(0.620648\pi\)
\(108\) −104.375 + 321.233i −0.00894846 + 0.0275405i
\(109\) 2157.06i 0.181555i −0.995871 0.0907777i \(-0.971065\pi\)
0.995871 0.0907777i \(-0.0289353\pi\)
\(110\) 70.6944 2674.26i 0.00584251 0.221013i
\(111\) −1735.74 −0.140877
\(112\) 973.875 + 316.431i 0.0776367 + 0.0252257i
\(113\) 8413.03 6112.42i 0.658863 0.478692i −0.207416 0.978253i \(-0.566505\pi\)
0.866279 + 0.499561i \(0.166505\pi\)
\(114\) 2566.13 + 1864.40i 0.197456 + 0.143460i
\(115\) 334.404 + 1029.19i 0.0252857 + 0.0778215i
\(116\) 1357.43 441.057i 0.100879 0.0327777i
\(117\) −8997.43 + 12383.9i −0.657275 + 0.904661i
\(118\) −13144.0 18091.2i −0.943985 1.29928i
\(119\) 376.566 1158.95i 0.0265918 0.0818411i
\(120\) 766.885i 0.0532559i
\(121\) 14620.6 + 773.533i 0.998603 + 0.0528333i
\(122\) −15109.8 −1.01517
\(123\) −720.218 234.013i −0.0476052 0.0154679i
\(124\) −1159.35 + 842.317i −0.0754000 + 0.0547813i
\(125\) −5631.59 4091.59i −0.360422 0.261862i
\(126\) −394.995 1215.67i −0.0248800 0.0765727i
\(127\) −18504.7 + 6012.53i −1.14729 + 0.372778i −0.820122 0.572188i \(-0.806095\pi\)
−0.327169 + 0.944966i \(0.606095\pi\)
\(128\) −8573.09 + 11799.9i −0.523260 + 0.720206i
\(129\) −1021.66 1406.20i −0.0613943 0.0845020i
\(130\) 1360.63 4187.59i 0.0805106 0.247786i
\(131\) 10666.5i 0.621556i −0.950483 0.310778i \(-0.899411\pi\)
0.950483 0.310778i \(-0.100589\pi\)
\(132\) 258.803 + 6.84149i 0.0148532 + 0.000392648i
\(133\) 1734.76 0.0980703
\(134\) 22792.9 + 7405.86i 1.26938 + 0.412445i
\(135\) −1485.60 + 1079.35i −0.0815142 + 0.0592235i
\(136\) 15110.5 + 10978.4i 0.816961 + 0.593557i
\(137\) −5728.06 17629.1i −0.305187 0.939269i −0.979607 0.200922i \(-0.935606\pi\)
0.674420 0.738348i \(-0.264394\pi\)
\(138\) 1415.48 459.916i 0.0743266 0.0241502i
\(139\) 3900.98 5369.23i 0.201903 0.277896i −0.696044 0.717999i \(-0.745058\pi\)
0.897947 + 0.440103i \(0.145058\pi\)
\(140\) −15.2070 20.9306i −0.000775867 0.00106789i
\(141\) −997.152 + 3068.92i −0.0501560 + 0.154364i
\(142\) 20657.9i 1.02449i
\(143\) 22713.3 + 8049.58i 1.11073 + 0.393642i
\(144\) 18298.1 0.882433
\(145\) 7379.87 + 2397.86i 0.351004 + 0.114048i
\(146\) 19018.4 13817.7i 0.892211 0.648229i
\(147\) −3920.84 2848.66i −0.181445 0.131827i
\(148\) −277.348 853.589i −0.0126620 0.0389696i
\(149\) −16560.8 + 5380.94i −0.745950 + 0.242374i −0.657238 0.753683i \(-0.728275\pi\)
−0.0887125 + 0.996057i \(0.528275\pi\)
\(150\) −2738.06 + 3768.62i −0.121692 + 0.167494i
\(151\) −15126.5 20819.8i −0.663413 0.913110i 0.336175 0.941799i \(-0.390867\pi\)
−0.999588 + 0.0286898i \(0.990867\pi\)
\(152\) −8216.47 + 25287.7i −0.355630 + 1.09452i
\(153\) 21775.5i 0.930220i
\(154\) −1658.63 + 1139.34i −0.0699372 + 0.0480409i
\(155\) −7790.88 −0.324282
\(156\) 405.256 + 131.676i 0.0166525 + 0.00541074i
\(157\) −28801.8 + 20925.8i −1.16848 + 0.848950i −0.990826 0.135143i \(-0.956851\pi\)
−0.177653 + 0.984093i \(0.556851\pi\)
\(158\) −15132.3 10994.3i −0.606166 0.440405i
\(159\) −559.372 1721.57i −0.0221262 0.0680974i
\(160\) 731.001 237.517i 0.0285547 0.00927799i
\(161\) 478.447 658.526i 0.0184579 0.0254051i
\(162\) −12664.0 17430.5i −0.482549 0.664172i
\(163\) 1002.80 3086.30i 0.0377432 0.116162i −0.930410 0.366521i \(-0.880549\pi\)
0.968153 + 0.250359i \(0.0805488\pi\)
\(164\) 391.575i 0.0145589i
\(165\) 1116.44 + 857.114i 0.0410078 + 0.0314826i
\(166\) −9843.73 −0.357226
\(167\) −9806.86 3186.44i −0.351639 0.114254i 0.127871 0.991791i \(-0.459186\pi\)
−0.479510 + 0.877536i \(0.659186\pi\)
\(168\) −466.675 + 339.059i −0.0165347 + 0.0120132i
\(169\) 8980.94 + 6525.03i 0.314448 + 0.228460i
\(170\) 1935.57 + 5957.07i 0.0669747 + 0.206127i
\(171\) 29482.0 9579.28i 1.00824 0.327597i
\(172\) 528.280 727.115i 0.0178570 0.0245780i
\(173\) 28966.7 + 39869.2i 0.967846 + 1.33213i 0.943127 + 0.332432i \(0.107869\pi\)
0.0247192 + 0.999694i \(0.492131\pi\)
\(174\) 3297.86 10149.8i 0.108926 0.335241i
\(175\) 2547.68i 0.0831894i
\(176\) −8174.41 27621.6i −0.263895 0.891709i
\(177\) 11765.4 0.375543
\(178\) −5909.83 1920.22i −0.186524 0.0606053i
\(179\) 15035.7 10924.1i 0.469264 0.340940i −0.327891 0.944716i \(-0.606338\pi\)
0.797154 + 0.603776i \(0.206338\pi\)
\(180\) −374.018 271.740i −0.0115438 0.00838703i
\(181\) 10097.8 + 31077.9i 0.308227 + 0.948626i 0.978453 + 0.206469i \(0.0661972\pi\)
−0.670226 + 0.742157i \(0.733803\pi\)
\(182\) −3149.85 + 1023.45i −0.0950928 + 0.0308975i
\(183\) 4672.76 6431.50i 0.139531 0.192048i
\(184\) 7333.25 + 10093.4i 0.216601 + 0.298126i
\(185\) 1507.84 4640.65i 0.0440566 0.135592i
\(186\) 10715.0i 0.309719i
\(187\) −32870.8 + 9727.88i −0.939999 + 0.278186i
\(188\) −1668.54 −0.0472085
\(189\) 1313.64 + 426.827i 0.0367750 + 0.0119489i
\(190\) −7213.83 + 5241.15i −0.199829 + 0.145184i
\(191\) −6005.73 4363.41i −0.164626 0.119608i 0.502422 0.864623i \(-0.332442\pi\)
−0.667048 + 0.745015i \(0.732442\pi\)
\(192\) −2721.01 8374.39i −0.0738120 0.227170i
\(193\) 16807.7 5461.14i 0.451225 0.146612i −0.0745837 0.997215i \(-0.523763\pi\)
0.525809 + 0.850603i \(0.323763\pi\)
\(194\) 34316.7 47232.8i 0.911804 1.25499i
\(195\) 1361.67 + 1874.18i 0.0358098 + 0.0492880i
\(196\) 774.393 2383.34i 0.0201581 0.0620402i
\(197\) 32273.4i 0.831596i 0.909457 + 0.415798i \(0.136498\pi\)
−0.909457 + 0.415798i \(0.863502\pi\)
\(198\) −21896.8 + 28521.7i −0.558534 + 0.727520i
\(199\) 18945.7 0.478414 0.239207 0.970969i \(-0.423113\pi\)
0.239207 + 0.970969i \(0.423113\pi\)
\(200\) −37137.5 12066.7i −0.928438 0.301668i
\(201\) −10201.1 + 7411.52i −0.252496 + 0.183449i
\(202\) −13871.7 10078.4i −0.339959 0.246995i
\(203\) −1803.65 5551.05i −0.0437682 0.134705i
\(204\) −576.499 + 187.316i −0.0138528 + 0.00450105i
\(205\) 1251.31 1722.27i 0.0297753 0.0409821i
\(206\) 34390.2 + 47334.1i 0.810402 + 1.11542i
\(207\) 4494.77 13833.5i 0.104898 0.322843i
\(208\) 47411.3i 1.09586i
\(209\) −27630.8 40224.6i −0.632560 0.920871i
\(210\) −193.447 −0.00438655
\(211\) −44193.5 14359.3i −0.992644 0.322530i −0.232722 0.972543i \(-0.574763\pi\)
−0.759923 + 0.650014i \(0.774763\pi\)
\(212\) 757.239 550.167i 0.0168485 0.0122412i
\(213\) −8793.03 6388.51i −0.193811 0.140812i
\(214\) 14611.7 + 44970.3i 0.319061 + 0.981970i
\(215\) 4647.10 1509.93i 0.100532 0.0326649i
\(216\) −12443.7 + 17127.3i −0.266713 + 0.367098i
\(217\) 3444.55 + 4741.01i 0.0731497 + 0.100682i
\(218\) 2577.14 7931.63i 0.0542282 0.166897i
\(219\) 12368.3i 0.257883i
\(220\) −243.113 + 685.987i −0.00502300 + 0.0141733i
\(221\) −56421.4 −1.15521
\(222\) −6382.43 2073.78i −0.129503 0.0420781i
\(223\) 11958.4 8688.31i 0.240472 0.174713i −0.461022 0.887389i \(-0.652517\pi\)
0.701494 + 0.712676i \(0.252517\pi\)
\(224\) −467.731 339.826i −0.00932180 0.00677269i
\(225\) 14068.1 + 43297.2i 0.277889 + 0.855254i
\(226\) 38238.0 12424.3i 0.748649 0.243251i
\(227\) 27805.3 38270.7i 0.539605 0.742703i −0.448951 0.893556i \(-0.648202\pi\)
0.988556 + 0.150853i \(0.0482021\pi\)
\(228\) −507.215 698.122i −0.00975714 0.0134296i
\(229\) −3741.55 + 11515.3i −0.0713479 + 0.219586i −0.980372 0.197158i \(-0.936829\pi\)
0.909024 + 0.416744i \(0.136829\pi\)
\(230\) 4183.91i 0.0790910i
\(231\) 27.9774 1058.34i 0.000524304 0.0198336i
\(232\) 89460.5 1.66209
\(233\) 56685.5 + 18418.2i 1.04414 + 0.339263i 0.780368 0.625321i \(-0.215032\pi\)
0.263776 + 0.964584i \(0.415032\pi\)
\(234\) −47879.7 + 34786.6i −0.874419 + 0.635303i
\(235\) −7338.77 5331.93i −0.132888 0.0965491i
\(236\) 1879.94 + 5785.87i 0.0337537 + 0.103883i
\(237\) 9359.43 3041.06i 0.166630 0.0541413i
\(238\) 2769.31 3811.63i 0.0488897 0.0672909i
\(239\) −8291.68 11412.5i −0.145160 0.199795i 0.730246 0.683185i \(-0.239406\pi\)
−0.875406 + 0.483389i \(0.839406\pi\)
\(240\) 855.740 2633.70i 0.0148566 0.0457239i
\(241\) 30792.3i 0.530161i −0.964226 0.265080i \(-0.914602\pi\)
0.964226 0.265080i \(-0.0853985\pi\)
\(242\) 52836.4 + 20312.2i 0.902200 + 0.346838i
\(243\) 37346.4 0.632465
\(244\) 3909.47 + 1270.26i 0.0656656 + 0.0213361i
\(245\) 11022.1 8008.06i 0.183626 0.133412i
\(246\) −2368.70 1720.96i −0.0391417 0.0284381i
\(247\) −24820.4 76389.2i −0.406831 1.25210i
\(248\) −85424.4 + 27756.1i −1.38892 + 0.451289i
\(249\) 3044.20 4189.99i 0.0490993 0.0675793i
\(250\) −15819.3 21773.3i −0.253108 0.348373i
\(251\) −34770.1 + 107011.i −0.551898 + 1.69857i 0.152100 + 0.988365i \(0.451396\pi\)
−0.703998 + 0.710202i \(0.748604\pi\)
\(252\) 347.745i 0.00547596i
\(253\) −22890.0 605.101i −0.357607 0.00945338i
\(254\) −75226.2 −1.16601
\(255\) −3134.21 1018.37i −0.0482001 0.0156611i
\(256\) 10410.3 7563.52i 0.158848 0.115410i
\(257\) −28119.5 20430.0i −0.425737 0.309316i 0.354205 0.935168i \(-0.384751\pi\)
−0.779942 + 0.625852i \(0.784751\pi\)
\(258\) −2076.66 6391.30i −0.0311979 0.0960173i
\(259\) −3490.64 + 1134.18i −0.0520362 + 0.0169076i
\(260\) −704.090 + 969.097i −0.0104155 + 0.0143358i
\(261\) −61305.2 84379.4i −0.899946 1.23867i
\(262\) 12743.8 39221.4i 0.185651 0.571374i
\(263\) 78599.0i 1.13633i 0.822913 + 0.568167i \(0.192347\pi\)
−0.822913 + 0.568167i \(0.807653\pi\)
\(264\) 15294.9 + 5420.51i 0.219452 + 0.0777736i
\(265\) 5088.68 0.0724625
\(266\) 6378.83 + 2072.61i 0.0901525 + 0.0292923i
\(267\) 2644.97 1921.69i 0.0371021 0.0269563i
\(268\) −5274.77 3832.34i −0.0734401 0.0533574i
\(269\) −9888.51 30433.7i −0.136655 0.420582i 0.859189 0.511659i \(-0.170969\pi\)
−0.995844 + 0.0910775i \(0.970969\pi\)
\(270\) −6752.17 + 2193.91i −0.0926224 + 0.0300948i
\(271\) −44758.1 + 61604.2i −0.609442 + 0.838825i −0.996531 0.0832170i \(-0.973481\pi\)
0.387089 + 0.922042i \(0.373481\pi\)
\(272\) 39643.3 + 54564.3i 0.535836 + 0.737514i
\(273\) 538.470 1657.24i 0.00722498 0.0222362i
\(274\) 71666.9i 0.954592i
\(275\) 59073.8 40578.6i 0.781141 0.536577i
\(276\) −404.901 −0.00531533
\(277\) 124457. + 40438.5i 1.62203 + 0.527031i 0.972421 0.233234i \(-0.0749308\pi\)
0.649613 + 0.760265i \(0.274931\pi\)
\(278\) 20759.0 15082.3i 0.268607 0.195154i
\(279\) 84719.0 + 61551.9i 1.08836 + 0.790739i
\(280\) −501.102 1542.23i −0.00639160 0.0196713i
\(281\) 9194.42 2987.45i 0.116443 0.0378345i −0.250216 0.968190i \(-0.580502\pi\)
0.366659 + 0.930356i \(0.380502\pi\)
\(282\) −7333.17 + 10093.2i −0.0922132 + 0.126921i
\(283\) −47234.2 65012.3i −0.589771 0.811751i 0.404953 0.914338i \(-0.367288\pi\)
−0.994724 + 0.102587i \(0.967288\pi\)
\(284\) 1736.68 5344.96i 0.0215320 0.0662686i
\(285\) 4691.41i 0.0577582i
\(286\) 73901.0 + 56735.5i 0.903480 + 0.693622i
\(287\) −1601.29 −0.0194405
\(288\) −9825.49 3192.50i −0.118459 0.0384898i
\(289\) −2636.20 + 1915.31i −0.0315634 + 0.0229321i
\(290\) 24271.3 + 17634.2i 0.288601 + 0.209681i
\(291\) 9492.14 + 29213.8i 0.112093 + 0.344987i
\(292\) −6082.39 + 1976.29i −0.0713360 + 0.0231785i
\(293\) −38585.5 + 53108.3i −0.449457 + 0.618625i −0.972281 0.233816i \(-0.924879\pi\)
0.522823 + 0.852441i \(0.324879\pi\)
\(294\) −11013.7 15159.1i −0.127421 0.175380i
\(295\) −10220.6 + 31455.6i −0.117444 + 0.361455i
\(296\) 56255.0i 0.642063i
\(297\) −11026.3 37258.2i −0.125002 0.422385i
\(298\) −67324.0 −0.758119
\(299\) −35843.2 11646.2i −0.400926 0.130269i
\(300\) 1025.26 744.896i 0.0113918 0.00827662i
\(301\) −2973.44 2160.33i −0.0328191 0.0238445i
\(302\) −30746.5 94628.0i −0.337118 1.03754i
\(303\) 8579.72 2787.72i 0.0934518 0.0303643i
\(304\) −56435.3 + 77676.6i −0.610666 + 0.840510i
\(305\) 13135.9 + 18080.0i 0.141208 + 0.194357i
\(306\) 26016.3 80069.8i 0.277845 0.855118i
\(307\) 120881.i 1.28257i 0.767303 + 0.641284i \(0.221598\pi\)
−0.767303 + 0.641284i \(0.778402\pi\)
\(308\) 524.932 155.350i 0.00553352 0.00163761i
\(309\) −30783.1 −0.322400
\(310\) −28647.5 9308.14i −0.298101 0.0968589i
\(311\) 92238.4 67015.1i 0.953654 0.692870i 0.00198576 0.999998i \(-0.499368\pi\)
0.951668 + 0.307128i \(0.0993679\pi\)
\(312\) 21607.3 + 15698.6i 0.221968 + 0.161269i
\(313\) −22788.6 70136.1i −0.232610 0.715901i −0.997429 0.0716561i \(-0.977172\pi\)
0.764819 0.644245i \(-0.222828\pi\)
\(314\) −130907. + 42534.3i −1.32771 + 0.431400i
\(315\) −1111.24 + 1529.50i −0.0111992 + 0.0154144i
\(316\) 2991.02 + 4116.78i 0.0299533 + 0.0412272i
\(317\) 46335.7 142607.i 0.461102 1.41913i −0.402718 0.915324i \(-0.631934\pi\)
0.863819 0.503801i \(-0.168066\pi\)
\(318\) 6998.62i 0.0692083i
\(319\) −99986.1 + 130237.i −0.982558 + 1.27983i
\(320\) 24753.3 0.241732
\(321\) −23660.3 7687.71i −0.229621 0.0746083i
\(322\) 2546.05 1849.81i 0.0245559 0.0178409i
\(323\) 92438.3 + 67160.4i 0.886027 + 0.643736i
\(324\) 1811.29 + 5574.57i 0.0172543 + 0.0531033i
\(325\) 112185. 36451.2i 1.06211 0.345100i
\(326\) 7374.69 10150.4i 0.0693919 0.0955097i
\(327\) 2579.11 + 3549.84i 0.0241198 + 0.0331981i
\(328\) 7584.31 23342.1i 0.0704966 0.216966i
\(329\) 6823.26i 0.0630377i
\(330\) 3081.17 + 4485.52i 0.0282935 + 0.0411893i
\(331\) −78994.5 −0.721009 −0.360505 0.932757i \(-0.617395\pi\)
−0.360505 + 0.932757i \(0.617395\pi\)
\(332\) 2546.94 + 827.550i 0.0231069 + 0.00750789i
\(333\) −53059.9 + 38550.3i −0.478495 + 0.347647i
\(334\) −32253.4 23433.5i −0.289123 0.210060i
\(335\) −10953.6 33711.8i −0.0976041 0.300394i
\(336\) −1981.04 + 643.678i −0.0175475 + 0.00570151i
\(337\) −54120.2 + 74490.1i −0.476540 + 0.655902i −0.977835 0.209375i \(-0.932857\pi\)
0.501295 + 0.865276i \(0.332857\pi\)
\(338\) 25227.6 + 34722.9i 0.220822 + 0.303936i
\(339\) −6536.82 + 20118.3i −0.0568810 + 0.175062i
\(340\) 1704.03i 0.0147408i
\(341\) 55067.7 155383.i 0.473574 1.33627i
\(342\) 119852. 1.02469
\(343\) −19568.4 6358.15i −0.166328 0.0540434i
\(344\) 45574.5 33111.8i 0.385128 0.279812i
\(345\) −1780.88 1293.89i −0.0149623 0.0108707i
\(346\) 58878.4 + 181209.i 0.491818 + 1.51366i
\(347\) 6762.59 2197.30i 0.0561635 0.0182486i −0.280801 0.959766i \(-0.590600\pi\)
0.336964 + 0.941518i \(0.390600\pi\)
\(348\) −1706.56 + 2348.87i −0.0140917 + 0.0193955i
\(349\) 58471.7 + 80479.3i 0.480059 + 0.660744i 0.978516 0.206170i \(-0.0660999\pi\)
−0.498457 + 0.866914i \(0.666100\pi\)
\(350\) −3043.83 + 9367.95i −0.0248476 + 0.0764730i
\(351\) 63952.1i 0.519088i
\(352\) −429.785 + 16258.1i −0.00346869 + 0.131215i
\(353\) −84674.3 −0.679520 −0.339760 0.940512i \(-0.610346\pi\)
−0.339760 + 0.940512i \(0.610346\pi\)
\(354\) 43261.9 + 14056.7i 0.345223 + 0.112170i
\(355\) 24718.7 17959.2i 0.196141 0.142505i
\(356\) 1367.66 + 993.664i 0.0107914 + 0.00784042i
\(357\) 766.003 + 2357.52i 0.00601027 + 0.0184977i
\(358\) 68338.5 22204.5i 0.533212 0.173251i
\(359\) 107040. 147328.i 0.830534 1.14313i −0.157289 0.987553i \(-0.550275\pi\)
0.987823 0.155580i \(-0.0497246\pi\)
\(360\) −17032.2 23442.9i −0.131422 0.180886i
\(361\) −9992.76 + 30754.6i −0.0766780 + 0.235991i
\(362\) 126340.i 0.964101i
\(363\) −24985.7 + 16208.2i −0.189618 + 0.123005i
\(364\) 901.024 0.00680039
\(365\) −33067.7 10744.3i −0.248209 0.0806481i
\(366\) 24866.0 18066.2i 0.185628 0.134867i
\(367\) −116948. 84967.6i −0.868281 0.630843i 0.0618443 0.998086i \(-0.480302\pi\)
−0.930125 + 0.367243i \(0.880302\pi\)
\(368\) 13921.6 + 42846.3i 0.102800 + 0.316386i
\(369\) −27213.7 + 8842.26i −0.199864 + 0.0649397i
\(370\) 11088.8 15262.4i 0.0809993 0.111486i
\(371\) −2249.83 3096.63i −0.0163457 0.0224979i
\(372\) 900.801 2772.38i 0.00650943 0.0200340i
\(373\) 106987.i 0.768979i −0.923129 0.384489i \(-0.874378\pi\)
0.923129 0.384489i \(-0.125622\pi\)
\(374\) −132490. 3502.40i −0.947198 0.0250393i
\(375\) 14160.0 0.100693
\(376\) −99462.8 32317.4i −0.703534 0.228592i
\(377\) −218631. + 158845.i −1.53826 + 1.11761i
\(378\) 4320.38 + 3138.94i 0.0302369 + 0.0219684i
\(379\) −37945.5 116784.i −0.264169 0.813028i −0.991884 0.127148i \(-0.959418\pi\)
0.727715 0.685880i \(-0.240582\pi\)
\(380\) 2307.10 749.622i 0.0159772 0.00519129i
\(381\) 23263.9 32020.0i 0.160263 0.220583i
\(382\) −16870.2 23219.9i −0.115610 0.159123i
\(383\) −57765.5 + 177784.i −0.393796 + 1.21198i 0.536100 + 0.844154i \(0.319897\pi\)
−0.929896 + 0.367824i \(0.880103\pi\)
\(384\) 29669.4i 0.201208i
\(385\) 2805.25 + 994.179i 0.0189256 + 0.00670723i
\(386\) 68327.5 0.458586
\(387\) −62462.3 20295.2i −0.417058 0.135510i
\(388\) −12849.8 + 9335.93i −0.0853558 + 0.0620146i
\(389\) −60422.4 43899.4i −0.399299 0.290108i 0.369956 0.929049i \(-0.379373\pi\)
−0.769256 + 0.638941i \(0.779373\pi\)
\(390\) 2767.77 + 8518.31i 0.0181970 + 0.0560046i
\(391\) 50988.9 16567.3i 0.333520 0.108367i
\(392\) 92324.4 127074.i 0.600820 0.826957i
\(393\) 12753.5 + 17553.7i 0.0825744 + 0.113654i
\(394\) −38558.6 + 118671.i −0.248387 + 0.764457i
\(395\) 27664.9i 0.177311i
\(396\) 8063.28 5538.79i 0.0514188 0.0353203i
\(397\) 245289. 1.55631 0.778157 0.628070i \(-0.216155\pi\)
0.778157 + 0.628070i \(0.216155\pi\)
\(398\) 69664.3 + 22635.3i 0.439789 + 0.142896i
\(399\) −2854.88 + 2074.19i −0.0179325 + 0.0130288i
\(400\) −114076. 82880.9i −0.712974 0.518006i
\(401\) 81207.9 + 249932.i 0.505021 + 1.55429i 0.800735 + 0.599018i \(0.204442\pi\)
−0.295715 + 0.955276i \(0.595558\pi\)
\(402\) −46364.9 + 15064.9i −0.286904 + 0.0932208i
\(403\) 159484. 219511.i 0.981990 1.35159i
\(404\) 2741.84 + 3773.82i 0.0167989 + 0.0231216i
\(405\) −9847.31 + 30306.9i −0.0600354 + 0.184770i
\(406\) 22566.4i 0.136902i
\(407\) 81896.5 + 62873.8i 0.494398 + 0.379560i
\(408\) −37993.6 −0.228239
\(409\) 293990. + 95523.0i 1.75746 + 0.571033i 0.996932 0.0782718i \(-0.0249402\pi\)
0.760528 + 0.649305i \(0.224940\pi\)
\(410\) 6658.80 4837.90i 0.0396122 0.0287799i
\(411\) 30505.1 + 22163.2i 0.180588 + 0.131205i
\(412\) −4918.71 15138.2i −0.0289772 0.0891827i
\(413\) 23660.6 7687.79i 0.138716 0.0450714i
\(414\) 33055.1 45496.4i 0.192858 0.265446i
\(415\) 8557.76 + 11778.8i 0.0496894 + 0.0683916i
\(416\) −8271.91 + 25458.3i −0.0477990 + 0.147110i
\(417\) 13500.3i 0.0776376i
\(418\) −53541.9 180920.i −0.306437 1.03546i
\(419\) 48418.4 0.275793 0.137896 0.990447i \(-0.455966\pi\)
0.137896 + 0.990447i \(0.455966\pi\)
\(420\) 50.0519 + 16.2628i 0.000283741 + 9.21930e-5i
\(421\) −88758.3 + 64486.7i −0.500778 + 0.363836i −0.809314 0.587376i \(-0.800161\pi\)
0.308536 + 0.951213i \(0.400161\pi\)
\(422\) −145346. 105600.i −0.816167 0.592980i
\(423\) 37677.7 + 115960.i 0.210573 + 0.648078i
\(424\) 55795.7 18129.1i 0.310362 0.100843i
\(425\) −98631.7 + 135755.i −0.546058 + 0.751584i
\(426\) −24699.8 33996.4i −0.136105 0.187333i
\(427\) 5194.58 15987.3i 0.0284901 0.0876836i
\(428\) 12863.9i 0.0702237i
\(429\) −47003.6 + 13910.4i −0.255398 + 0.0755830i
\(430\) 18891.6 0.102172
\(431\) −297973. 96817.2i −1.60406 0.521192i −0.635957 0.771725i \(-0.719394\pi\)
−0.968108 + 0.250533i \(0.919394\pi\)
\(432\) −61847.1 + 44934.5i −0.331399 + 0.240776i
\(433\) 21555.5 + 15661.0i 0.114969 + 0.0835301i 0.643784 0.765207i \(-0.277363\pi\)
−0.528815 + 0.848737i \(0.677363\pi\)
\(434\) 7001.48 + 21548.3i 0.0371715 + 0.114402i
\(435\) −15012.0 + 4877.69i −0.0793340 + 0.0257772i
\(436\) −1333.60 + 1835.55i −0.00701543 + 0.00965590i
\(437\) 44861.1 + 61746.0i 0.234913 + 0.323330i
\(438\) −14777.0 + 45479.1i −0.0770263 + 0.237063i
\(439\) 191516.i 0.993745i −0.867824 0.496872i \(-0.834482\pi\)
0.867824 0.496872i \(-0.165518\pi\)
\(440\) −27778.9 + 36183.5i −0.143486 + 0.186898i
\(441\) −183124. −0.941603
\(442\) −207465. 67409.4i −1.06194 0.345045i
\(443\) 66184.9 48086.2i 0.337250 0.245026i −0.406251 0.913762i \(-0.633164\pi\)
0.743501 + 0.668735i \(0.233164\pi\)
\(444\) 1477.03 + 1073.13i 0.00749245 + 0.00544358i
\(445\) 2840.09 + 8740.91i 0.0143421 + 0.0441404i
\(446\) 54352.2 17660.1i 0.273242 0.0887816i
\(447\) 20820.2 28656.5i 0.104200 0.143419i
\(448\) −10944.1 15063.2i −0.0545284 0.0750519i
\(449\) 43036.9 132454.i 0.213476 0.657011i −0.785783 0.618503i \(-0.787740\pi\)
0.999258 0.0385080i \(-0.0122605\pi\)
\(450\) 176014.i 0.869206i
\(451\) 25505.0 + 37129.7i 0.125392 + 0.182545i
\(452\) −10938.1 −0.0535382
\(453\) 49786.9 + 16176.7i 0.242615 + 0.0788305i
\(454\) 147966. 107503.i 0.717876 0.521567i
\(455\) 3963.00 + 2879.29i 0.0191426 + 0.0139079i
\(456\) −16713.8 51439.7i −0.0803795 0.247383i
\(457\) −154413. + 50171.8i −0.739352 + 0.240230i −0.654393 0.756154i \(-0.727076\pi\)
−0.0849588 + 0.996384i \(0.527076\pi\)
\(458\) −27515.8 + 37872.3i −0.131175 + 0.180547i
\(459\) 53473.9 + 73600.6i 0.253815 + 0.349346i
\(460\) 351.736 1082.53i 0.00166227 0.00511594i
\(461\) 112857.i 0.531039i −0.964106 0.265519i \(-0.914457\pi\)
0.964106 0.265519i \(-0.0855435\pi\)
\(462\) 1367.33 3858.15i 0.00640601 0.0180757i
\(463\) 87643.3 0.408843 0.204422 0.978883i \(-0.434469\pi\)
0.204422 + 0.978883i \(0.434469\pi\)
\(464\) 307232. + 99825.8i 1.42702 + 0.463668i
\(465\) 12821.3 9315.25i 0.0592963 0.0430813i
\(466\) 186431. + 135450.i 0.858510 + 0.623744i
\(467\) −79391.5 244342.i −0.364033 1.12038i −0.950585 0.310465i \(-0.899515\pi\)
0.586552 0.809911i \(-0.300485\pi\)
\(468\) 15312.7 4975.41i 0.0699135 0.0227163i
\(469\) −15671.9 + 21570.5i −0.0712484 + 0.0980649i
\(470\) −20614.8 28373.8i −0.0933217 0.128446i
\(471\) 22378.7 68874.5i 0.100877 0.310468i
\(472\) 381313.i 1.71158i
\(473\) −2732.21 + 103355.i −0.0122122 + 0.461967i
\(474\) 38048.5 0.169348
\(475\) −227188. 73817.9i −1.00693 0.327171i
\(476\) −1036.96 + 753.397i −0.00457666 + 0.00332514i
\(477\) −55334.9 40203.2i −0.243199 0.176695i
\(478\) −16853.9 51870.9i −0.0737640 0.227022i
\(479\) −1835.97 + 596.544i −0.00800194 + 0.00259999i −0.313015 0.949748i \(-0.601339\pi\)
0.305013 + 0.952348i \(0.401339\pi\)
\(480\) −919.009 + 1264.91i −0.00398875 + 0.00549005i
\(481\) 99885.5 + 137481.i 0.431730 + 0.594226i
\(482\) 36789.0 113225.i 0.158352 0.487358i
\(483\) 1655.79i 0.00709758i
\(484\) −11963.1 9697.41i −0.0510686 0.0413966i
\(485\) −86351.2 −0.367100
\(486\) 137325. + 44619.6i 0.581402 + 0.188909i
\(487\) 40263.5 29253.1i 0.169767 0.123343i −0.499657 0.866223i \(-0.666541\pi\)
0.669424 + 0.742880i \(0.266541\pi\)
\(488\) 208443. + 151443.i 0.875283 + 0.635930i
\(489\) 2039.87 + 6278.08i 0.00853071 + 0.0262548i
\(490\) 50096.7 16277.4i 0.208649 0.0677942i
\(491\) −153461. + 211221.i −0.636552 + 0.876139i −0.998426 0.0560880i \(-0.982137\pi\)
0.361873 + 0.932227i \(0.382137\pi\)
\(492\) 468.191 + 644.409i 0.00193416 + 0.00266214i
\(493\) 118797. 365619.i 0.488777 1.50430i
\(494\) 310541.i 1.27252i
\(495\) 53164.5 + 1405.41i 0.216976 + 0.00573579i
\(496\) −324343. −1.31838
\(497\) −21857.5 7101.94i −0.0884887 0.0287517i
\(498\) 16199.7 11769.8i 0.0653203 0.0474579i
\(499\) 244238. + 177450.i 0.980873 + 0.712646i 0.957904 0.287090i \(-0.0926879\pi\)
0.0229696 + 0.999736i \(0.492688\pi\)
\(500\) 2262.57 + 6963.48i 0.00905028 + 0.0278539i
\(501\) 19948.9 6481.80i 0.0794774 0.0258238i
\(502\) −255703. + 351945.i −1.01468 + 1.39659i
\(503\) −117828. 162177.i −0.465708 0.640992i 0.509972 0.860191i \(-0.329656\pi\)
−0.975680 + 0.219199i \(0.929656\pi\)
\(504\) −6735.38 + 20729.4i −0.0265156 + 0.0816066i
\(505\) 25360.2i 0.0994422i
\(506\) −83445.0 29572.8i −0.325911 0.115503i
\(507\) −22581.5 −0.0878491
\(508\) 19463.8 + 6324.17i 0.0754224 + 0.0245062i
\(509\) 95901.4 69676.5i 0.370160 0.268937i −0.387117 0.922030i \(-0.626529\pi\)
0.757277 + 0.653094i \(0.226529\pi\)
\(510\) −10308.0 7489.18i −0.0396308 0.0287935i
\(511\) 8081.77 + 24873.1i 0.0309503 + 0.0952552i
\(512\) 269261. 87488.1i 1.02715 0.333741i
\(513\) −76124.4 + 104776.i −0.289261 + 0.398133i
\(514\) −78988.2 108718.i −0.298976 0.411505i
\(515\) 26741.2 82300.9i 0.100825 0.310306i
\(516\) 1828.25i 0.00686650i
\(517\) 158213. 108679.i 0.591918 0.406597i
\(518\) −14190.3 −0.0528851
\(519\) −95340.1 30977.9i −0.353949 0.115005i
\(520\) −60741.6 + 44131.4i −0.224636 + 0.163208i
\(521\) −110386. 80200.2i −0.406667 0.295461i 0.365584 0.930778i \(-0.380869\pi\)
−0.772251 + 0.635318i \(0.780869\pi\)
\(522\) −124611. 383512.i −0.457313 1.40747i
\(523\) −494141. + 160556.i −1.80654 + 0.586980i −0.999991 0.00418925i \(-0.998667\pi\)
−0.806548 + 0.591169i \(0.798667\pi\)
\(524\) −6594.58 + 9076.67i −0.0240173 + 0.0330570i
\(525\) −3046.16 4192.67i −0.0110518 0.0152115i
\(526\) −93906.1 + 289013.i −0.339408 + 1.04459i
\(527\) 385982.i 1.38978i
\(528\) 46478.6 + 35682.7i 0.166719 + 0.127994i
\(529\) −244029. −0.872028
\(530\) 18711.4 + 6079.69i 0.0666122 + 0.0216436i
\(531\) 359655. 261305.i 1.27555 0.926741i
\(532\) −1476.20 1072.52i −0.00521580 0.00378950i
\(533\) 22910.7 + 70511.9i 0.0806462 + 0.248204i
\(534\) 12021.7 3906.07i 0.0421582 0.0136980i
\(535\) 41107.4 56579.5i 0.143619 0.197675i
\(536\) −240206. 330615.i −0.836091 1.15078i
\(537\) −11682.5 + 35955.1i −0.0405124 + 0.124684i
\(538\) 123721.i 0.427443i
\(539\) 81807.8 + 276431.i 0.281590 + 0.951501i
\(540\) 1931.48 0.00662372
\(541\) 365219. + 118667.i 1.24784 + 0.405447i 0.857146 0.515074i \(-0.172236\pi\)
0.390693 + 0.920521i \(0.372236\pi\)
\(542\) −238179. + 173047.i −0.810785 + 0.589070i
\(543\) −53776.5 39070.9i −0.182387 0.132512i
\(544\) −11767.2 36215.8i −0.0397628 0.122377i
\(545\) −11731.3 + 3811.71i −0.0394958 + 0.0128330i
\(546\) 3959.97 5450.43i 0.0132833 0.0182829i
\(547\) −30441.8 41899.6i −0.101741 0.140035i 0.755111 0.655597i \(-0.227583\pi\)
−0.856852 + 0.515563i \(0.827583\pi\)
\(548\) −6024.95 + 18542.9i −0.0200628 + 0.0617471i
\(549\) 300385.i 0.996628i
\(550\) 265699. 78631.6i 0.878344 0.259939i
\(551\) 547273. 1.80261
\(552\) −24136.5 7842.41i −0.0792128 0.0257378i
\(553\) 16835.0 12231.4i 0.0550508 0.0399968i
\(554\) 409322. + 297390.i 1.33366 + 0.968961i
\(555\) 3067.21 + 9439.91i 0.00995768 + 0.0306466i
\(556\) −6639.07 + 2157.16i −0.0214762 + 0.00697804i
\(557\) −107037. + 147324.i −0.345005 + 0.474859i −0.945895 0.324473i \(-0.894813\pi\)
0.600890 + 0.799332i \(0.294813\pi\)
\(558\) 237977. + 327548.i 0.764306 + 1.05198i
\(559\) −52585.9 + 161843.i −0.168285 + 0.517928i
\(560\) 5855.62i 0.0186723i
\(561\) 42463.8 55311.4i 0.134925 0.175747i
\(562\) 37377.6 0.118342
\(563\) 183696. + 59686.4i 0.579539 + 0.188304i 0.584094 0.811686i \(-0.301450\pi\)
−0.00455489 + 0.999990i \(0.501450\pi\)
\(564\) 2745.89 1995.00i 0.00863226 0.00627170i
\(565\) −48109.2 34953.4i −0.150706 0.109494i
\(566\) −96009.5 295487.i −0.299696 0.922371i
\(567\) 22796.5 7407.03i 0.0709091 0.0230398i
\(568\) 207050. 284980.i 0.641769 0.883319i
\(569\) −154526. 212687.i −0.477285 0.656926i 0.500695 0.865624i \(-0.333078\pi\)
−0.977980 + 0.208697i \(0.933078\pi\)
\(570\) 5605.05 17250.6i 0.0172516 0.0530950i
\(571\) 235361.i 0.721876i 0.932590 + 0.360938i \(0.117543\pi\)
−0.932590 + 0.360938i \(0.882457\pi\)
\(572\) −14351.3 20892.3i −0.0438629 0.0638550i
\(573\) 15100.7 0.0459926
\(574\) −5888.05 1913.14i −0.0178710 0.00580662i
\(575\) −90680.1 + 65882.9i −0.274269 + 0.199268i
\(576\) −269171. 195564.i −0.811302 0.589446i
\(577\) 47468.2 + 146092.i 0.142578 + 0.438809i 0.996692 0.0812772i \(-0.0258999\pi\)
−0.854114 + 0.520086i \(0.825900\pi\)
\(578\) −11981.8 + 3893.12i −0.0358646 + 0.0116531i
\(579\) −21130.5 + 29083.6i −0.0630307 + 0.0867543i
\(580\) −4797.41 6603.07i −0.0142610 0.0196286i
\(581\) 3384.16 10415.4i 0.0100253 0.0308548i
\(582\) 118762.i 0.350614i
\(583\) −35967.9 + 101490.i −0.105823 + 0.298597i
\(584\) −400855. −1.17533
\(585\) 83249.6 + 27049.4i 0.243260 + 0.0790399i
\(586\) −205332. + 149182.i −0.597945 + 0.434433i
\(587\) −362051. 263045.i −1.05073 0.763404i −0.0783829 0.996923i \(-0.524976\pi\)
−0.972352 + 0.233520i \(0.924976\pi\)
\(588\) 1575.25 + 4848.13i 0.00455613 + 0.0140223i
\(589\) −522583. + 169797.i −1.50635 + 0.489441i
\(590\) −75163.2 + 103453.i −0.215924 + 0.297194i
\(591\) −38588.1 53111.9i −0.110479 0.152061i
\(592\) 62773.0 193196.i 0.179114 0.551256i
\(593\) 505323.i 1.43701i −0.695522 0.718505i \(-0.744827\pi\)
0.695522 0.718505i \(-0.255173\pi\)
\(594\) 3969.87 150174.i 0.0112513 0.425620i
\(595\) −6968.43 −0.0196834
\(596\) 17419.2 + 5659.85i 0.0490384 + 0.0159335i
\(597\) −31178.6 + 22652.6i −0.0874799 + 0.0635578i
\(598\) −117883. 85647.2i −0.329647 0.239503i
\(599\) 137321. + 422632.i 0.382723 + 1.17790i 0.938119 + 0.346314i \(0.112567\pi\)
−0.555396 + 0.831586i \(0.687433\pi\)
\(600\) 75544.4 24545.9i 0.209846 0.0681829i
\(601\) 239758. 329999.i 0.663780 0.913615i −0.335819 0.941927i \(-0.609013\pi\)
0.999599 + 0.0283113i \(0.00901296\pi\)
\(602\) −8352.47 11496.2i −0.0230474 0.0317220i
\(603\) −147229. + 453125.i −0.404911 + 1.24619i
\(604\) 27068.6i 0.0741979i
\(605\) −21628.9 80881.3i −0.0590914 0.220972i
\(606\) 34878.7 0.0949764
\(607\) −295657. 96064.8i −0.802437 0.260728i −0.121046 0.992647i \(-0.538625\pi\)
−0.681391 + 0.731919i \(0.738625\pi\)
\(608\) 43856.2 31863.4i 0.118638 0.0861956i
\(609\) 9605.41 + 6978.74i 0.0258989 + 0.0188167i
\(610\) 26700.4 + 82175.3i 0.0717559 + 0.220842i
\(611\) 300458. 97624.6i 0.804824 0.261503i
\(612\) −13462.7 + 18529.9i −0.0359444 + 0.0494732i
\(613\) 14556.6 + 20035.5i 0.0387382 + 0.0533186i 0.827947 0.560807i \(-0.189509\pi\)
−0.789209 + 0.614125i \(0.789509\pi\)
\(614\) −144422. + 444486.i −0.383087 + 1.17902i
\(615\) 4330.46i 0.0114494i
\(616\) 34300.6 + 906.740i 0.0903941 + 0.00238958i
\(617\) 697011. 1.83092 0.915460 0.402408i \(-0.131827\pi\)
0.915460 + 0.402408i \(0.131827\pi\)
\(618\) −113191. 36778.0i −0.296371 0.0962966i
\(619\) 74677.2 54256.1i 0.194898 0.141601i −0.486057 0.873927i \(-0.661565\pi\)
0.680954 + 0.732326i \(0.261565\pi\)
\(620\) 6629.65 + 4816.72i 0.0172467 + 0.0125305i
\(621\) 18778.6 + 57794.5i 0.0486944 + 0.149866i
\(622\) 419232. 136217.i 1.08361 0.352087i
\(623\) 4063.46 5592.87i 0.0104693 0.0144098i
\(624\) 56687.8 + 78024.1i 0.145586 + 0.200382i
\(625\) 102093. 314211.i 0.261359 0.804381i
\(626\) 285121.i 0.727580i
\(627\) 93566.6 + 33159.9i 0.238005 + 0.0843487i
\(628\) 37446.3 0.0949488
\(629\) −229911. 74702.5i −0.581109 0.188814i
\(630\) −5913.47 + 4296.39i −0.0148991 + 0.0108249i
\(631\) 275611. + 200243.i 0.692210 + 0.502920i 0.877386 0.479785i \(-0.159286\pi\)
−0.185176 + 0.982705i \(0.559286\pi\)
\(632\) 98560.1 + 303337.i 0.246756 + 0.759436i
\(633\) 89897.6 29209.5i 0.224357 0.0728982i
\(634\) 340758. 469013.i 0.847749 1.16683i
\(635\) 65398.8 + 90013.7i 0.162189 + 0.223234i
\(636\) −588.366 + 1810.80i −0.00145456 + 0.00447669i
\(637\) 474483.i 1.16934i
\(638\) −523255. + 359432.i −1.28550 + 0.883029i
\(639\) −410680. −1.00578
\(640\) 79323.4 + 25773.7i 0.193661 + 0.0629241i
\(641\) −90020.7 + 65403.8i −0.219092 + 0.159180i −0.691918 0.721976i \(-0.743234\pi\)
0.472826 + 0.881156i \(0.343234\pi\)
\(642\) −77815.5 56536.3i −0.188797 0.137169i
\(643\) −19816.2 60988.0i −0.0479290 0.147510i 0.924228 0.381841i \(-0.124710\pi\)
−0.972157 + 0.234331i \(0.924710\pi\)
\(644\) −814.269 + 264.572i −0.00196334 + 0.000637929i
\(645\) −5842.29 + 8041.23i −0.0140431 + 0.0193287i
\(646\) 259661. + 357393.i 0.622217 + 0.856408i
\(647\) 178305. 548767.i 0.425947 1.31093i −0.476137 0.879371i \(-0.657963\pi\)
0.902084 0.431560i \(-0.142037\pi\)
\(648\) 367387.i 0.874932i
\(649\) −555118. 426177.i −1.31794 1.01181i
\(650\) 456061. 1.07943
\(651\) −11337.3 3683.71i −0.0267514 0.00869207i
\(652\) −2761.44 + 2006.30i −0.00649591 + 0.00471955i
\(653\) −266908. 193920.i −0.625943 0.454774i 0.229050 0.973415i \(-0.426438\pi\)
−0.854992 + 0.518641i \(0.826438\pi\)
\(654\) 5242.37 + 16134.4i 0.0122567 + 0.0377221i
\(655\) −58010.3 + 18848.7i −0.135214 + 0.0439337i
\(656\) 52093.3 71700.2i 0.121053 0.166615i
\(657\) 274696. + 378087.i 0.636388 + 0.875913i
\(658\) −8152.08 + 25089.5i −0.0188285 + 0.0579483i
\(659\) 148224.i 0.341310i −0.985331 0.170655i \(-0.945412\pi\)
0.985331 0.170655i \(-0.0545883\pi\)
\(660\) −420.120 1419.60i −0.000964463 0.00325895i
\(661\) −275401. −0.630321 −0.315161 0.949038i \(-0.602058\pi\)
−0.315161 + 0.949038i \(0.602058\pi\)
\(662\) −290467. 94378.5i −0.662798 0.215356i
\(663\) 92851.9 67460.9i 0.211234 0.153470i
\(664\) 135796. + 98661.9i 0.308001 + 0.223776i
\(665\) −3065.48 9434.59i −0.00693195 0.0213344i
\(666\) −241162. + 78358.3i −0.543701 + 0.176659i
\(667\) 150938. 207748.i 0.339271 0.466966i
\(668\) 6375.12 + 8774.60i 0.0142868 + 0.0196641i
\(669\) −9291.55 + 28596.5i −0.0207604 + 0.0638940i
\(670\) 137047.i 0.305295i
\(671\) −453440. + 134192.i −1.00710 + 0.298045i
\(672\) 1176.06 0.00260429
\(673\) −139591. 45355.8i −0.308196 0.100139i 0.150836 0.988559i \(-0.451803\pi\)
−0.459031 + 0.888420i \(0.651803\pi\)
\(674\) −288000. + 209244.i −0.633976 + 0.460610i
\(675\) −153874. 111796.i −0.337722 0.245369i
\(676\) −3608.22 11104.9i −0.00789585 0.0243009i
\(677\) 613923. 199476.i 1.33948 0.435224i 0.450340 0.892857i \(-0.351303\pi\)
0.889141 + 0.457634i \(0.151303\pi\)
\(678\) −48072.5 + 66166.1i −0.104577 + 0.143938i
\(679\) 38178.0 + 52547.6i 0.0828084 + 0.113976i
\(680\) 33005.0 101579.i 0.0713776 0.219678i
\(681\) 96227.4i 0.207493i
\(682\) 388131. 505561.i 0.834467 1.08694i
\(683\) −298959. −0.640871 −0.320435 0.947270i \(-0.603829\pi\)
−0.320435 + 0.947270i \(0.603829\pi\)
\(684\) −31010.1 10075.8i −0.0662813 0.0215361i
\(685\) −85754.8 + 62304.5i −0.182758 + 0.132782i
\(686\) −64357.6 46758.5i −0.136758 0.0993603i
\(687\) −7610.99 23424.2i −0.0161260 0.0496309i
\(688\) 193464. 62860.3i 0.408718 0.132800i
\(689\) −104168. + 143375.i −0.219431 + 0.302020i
\(690\) −5002.54 6885.41i −0.0105073 0.0144621i
\(691\) −58239.2 + 179242.i −0.121972 + 0.375391i −0.993337 0.115244i \(-0.963235\pi\)
0.871365 + 0.490635i \(0.163235\pi\)
\(692\) 51835.4i 0.108247i
\(693\) −22650.1 32973.7i −0.0471633 0.0686597i
\(694\) 27491.6 0.0570797
\(695\) −36094.2 11727.7i −0.0747253 0.0242797i
\(696\) −147224. + 106964.i −0.303920 + 0.220811i
\(697\) −85326.2 61993.1i −0.175637 0.127608i
\(698\) 118851. + 365786.i 0.243945 + 0.750786i
\(699\) −115309. + 37466.0i −0.235997 + 0.0766802i
\(700\) 1575.10 2167.94i 0.00321450 0.00442437i
\(701\) 71959.7 + 99044.0i 0.146438 + 0.201554i 0.875935 0.482430i \(-0.160246\pi\)
−0.729497 + 0.683984i \(0.760246\pi\)
\(702\) 76406.7 235155.i 0.155045 0.477179i
\(703\) 344139.i 0.696344i
\(704\) −174962. + 493687.i −0.353019 + 0.996107i
\(705\) 18452.5 0.0371259
\(706\) −311352. 101165.i −0.624659 0.202964i
\(707\) 15432.5 11212.4i 0.0308744 0.0224316i
\(708\) −10011.7 7273.96i −0.0199730 0.0145112i
\(709\) 56691.8 + 174479.i 0.112779 + 0.347098i 0.991477 0.130280i \(-0.0415875\pi\)
−0.878698 + 0.477377i \(0.841587\pi\)
\(710\) 112349. 36504.3i 0.222870 0.0724148i
\(711\) 218567. 300832.i 0.432360 0.595093i
\(712\) 62281.4 + 85723.0i 0.122857 + 0.169097i
\(713\) −79672.0 + 245205.i −0.156721 + 0.482337i
\(714\) 9583.90i 0.0187995i
\(715\) 3641.49 137752.i 0.00712306 0.269454i
\(716\) −19548.4 −0.0381316
\(717\) 27291.0 + 8867.38i 0.0530861 + 0.0172487i
\(718\) 569613. 413848.i 1.10492 0.802771i
\(719\) 511463. + 371599.i 0.989364 + 0.718815i 0.959782 0.280747i \(-0.0905822\pi\)
0.0295825 + 0.999562i \(0.490582\pi\)
\(720\) −32334.4 99515.1i −0.0623735 0.191966i
\(721\) −61905.8 + 20114.4i −0.119086 + 0.0386934i
\(722\) −73487.9 + 101147.i −0.140975 + 0.194035i
\(723\) 36817.1 + 50674.4i 0.0704325 + 0.0969420i
\(724\) 10621.2 32688.8i 0.0202627 0.0623622i
\(725\) 803726.i 1.52909i
\(726\) −111239. + 29746.9i −0.211049 + 0.0564377i
\(727\) 358284. 0.677889 0.338945 0.940806i \(-0.389930\pi\)
0.338945 + 0.940806i \(0.389930\pi\)
\(728\) 53710.8 + 17451.7i 0.101344 + 0.0329287i
\(729\) 303715. 220662.i 0.571494 0.415214i
\(730\) −108755. 79015.2i −0.204081 0.148274i
\(731\) −74806.3 230230.i −0.139992 0.430851i
\(732\) −7952.56 + 2583.94i −0.0148417 + 0.00482238i
\(733\) −158935. + 218755.i −0.295809 + 0.407147i −0.930890 0.365299i \(-0.880967\pi\)
0.635081 + 0.772446i \(0.280967\pi\)
\(734\) −328509. 452154.i −0.609755 0.839256i
\(735\) −8564.07 + 26357.5i −0.0158528 + 0.0487899i
\(736\) 25436.0i 0.0469562i
\(737\) 749778. + 19820.5i 1.38038 + 0.0364905i
\(738\) −110631. −0.203124
\(739\) 395453. + 128491.i 0.724113 + 0.235278i 0.647805 0.761806i \(-0.275687\pi\)
0.0763074 + 0.997084i \(0.475687\pi\)
\(740\) −4152.18 + 3016.74i −0.00758251 + 0.00550901i
\(741\) 132182. + 96035.9i 0.240733 + 0.174903i
\(742\) −4573.07 14074.5i −0.00830616 0.0255637i
\(743\) 220573. 71668.6i 0.399554 0.129823i −0.102345 0.994749i \(-0.532635\pi\)
0.501899 + 0.864926i \(0.332635\pi\)
\(744\) 107395. 147816.i 0.194016 0.267040i
\(745\) 58528.9 + 80558.2i 0.105453 + 0.145143i
\(746\) 127823. 393398.i 0.229684 0.706895i
\(747\) 195694.i 0.350701i
\(748\) 33985.7 + 12044.5i 0.0607425 + 0.0215271i
\(749\) −52605.1 −0.0937701
\(750\) 52067.1 + 16917.6i 0.0925637 + 0.0300758i
\(751\) −533061. + 387292.i −0.945143 + 0.686686i −0.949653 0.313304i \(-0.898564\pi\)
0.00451049 + 0.999990i \(0.498564\pi\)
\(752\) −305521. 221974.i −0.540264 0.392525i
\(753\) −70728.7 217680.i −0.124740 0.383910i
\(754\) −993697. + 322872.i −1.74788 + 0.567920i
\(755\) −86499.5 + 119056.i −0.151747 + 0.208862i
\(756\) −853.955 1175.37i −0.00149414 0.00205651i
\(757\) −239422. + 736865.i −0.417803 + 1.28587i 0.491916 + 0.870643i \(0.336297\pi\)
−0.909719 + 0.415224i \(0.863703\pi\)
\(758\) 474757.i 0.826291i
\(759\) 38393.3 26372.9i 0.0666457 0.0457799i
\(760\) 152047. 0.263240
\(761\) 377991. + 122817.i 0.652698 + 0.212074i 0.616603 0.787274i \(-0.288508\pi\)
0.0360944 + 0.999348i \(0.488508\pi\)
\(762\) 123799. 89945.0i 0.213209 0.154906i
\(763\) 7506.24 + 5453.60i 0.0128936 + 0.00936773i
\(764\) 2412.88 + 7426.09i 0.00413380 + 0.0127225i
\(765\) −118427. + 38479.3i −0.202362 + 0.0657513i
\(766\) −424814. + 584706.i −0.724004 + 0.996506i
\(767\) −677053. 931883.i −1.15088 1.58406i
\(768\) −8088.67 + 24894.4i −0.0137137 + 0.0422064i
\(769\) 467800.i 0.791056i −0.918454 0.395528i \(-0.870562\pi\)
0.918454 0.395528i \(-0.129438\pi\)