Properties

Label 11.5.d.a.6.3
Level 11
Weight 5
Character 11.6
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

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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 6.3
Root \(5.04186i\)
Character \(\chi\) = 11.6
Dual form 11.5.d.a.2.3

$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{9}{10}\right)\)

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 0.189099 0.981958i \(-0.439443\pi\)
0.730165 + 0.683271i \(0.239443\pi\)
\(3\) −1.64569 1.19566i −0.182854 0.132851i 0.492593 0.870260i \(-0.336049\pi\)
−0.675447 + 0.737409i \(0.736049\pi\)
\(4\) −0.850950 + 0.618251i −0.0531844 + 0.0386407i
\(5\) −1.76709 + 5.43854i −0.0706835 + 0.217542i −0.980158 0.198219i \(-0.936484\pi\)
0.909474 + 0.415760i \(0.136484\pi\)
\(6\) −7.47979 2.43033i −0.207772 0.0675092i
\(7\) −2.52826 3.47985i −0.0515971 0.0710173i 0.782439 0.622727i \(-0.213975\pi\)
−0.834036 + 0.551710i \(0.813975\pi\)
\(8\) −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 0.310694 0.950510i \(-0.399439\pi\)
0.810052 + 0.586358i \(0.199439\pi\)
\(14\) −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 −0.196809 0.980442i \(-0.563058\pi\)
−0.735511 + 0.677513i \(0.763058\pi\)
\(18\) −174.673 240.416i −0.539113 0.742026i
\(19\) −237.059 + 326.284i −0.656674 + 0.903834i −0.999366 0.0356142i \(-0.988661\pi\)
0.342692 + 0.939448i \(0.388661\pi\)
\(20\) −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 −0.952237 0.305360i \(-0.901223\pi\)
0.00384249 0.999993i \(-0.498777\pi\)
\(30\) 26.4349 36.3845i 0.0293721 0.0404273i
\(31\) 421.011 + 1295.74i 0.438096 + 1.34832i 0.889880 + 0.456195i \(0.150788\pi\)
−0.451784 + 0.892128i \(0.649212\pi\)
\(32\) 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 −0.306385 0.951908i \(-0.599119\pi\)
0.810640 + 0.585545i \(0.199119\pi\)
\(38\) −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 −0.738956 0.673754i \(-0.764681\pi\)
0.869128 + 0.494587i \(0.164681\pi\)
\(42\) 10.4537 + 32.1731i 0.00592611 + 0.0182387i
\(43\) 854.475i 0.462128i −0.972939 0.231064i \(-0.925779\pi\)
0.972939 0.231064i \(-0.0742207\pi\)
\(44\) −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 0.839073 0.544020i \(-0.183098\pi\)
−0.258106 + 0.966117i \(0.583098\pi\)
\(48\) 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 0.890102 0.455761i \(-0.150633\pi\)
−0.987997 + 0.154471i \(0.950633\pi\)
\(54\) 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 −0.344941 + 0.938624i \(0.612101\pi\)
−0.999277 + 0.0380079i \(0.987899\pi\)
\(60\) −3.78089 + 11.6364i −0.00105025 + 0.00323233i
\(61\) −3716.82 1207.67i −0.998877 0.324555i −0.236460 0.971641i \(-0.575987\pi\)
−0.762417 + 0.647086i \(0.775987\pi\)
\(62\) 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 −0.642749 0.766077i \(-0.722206\pi\)
0.970283 0.241971i \(-0.0777940\pi\)
\(72\) 4819.30 + 1565.88i 0.929648 + 0.302061i
\(73\) 3573.88 + 4919.03i 0.670648 + 0.923068i 0.999775 0.0212178i \(-0.00675434\pi\)
−0.329127 + 0.944286i \(0.606754\pi\)
\(74\) 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 −0.653480 0.756944i \(-0.726691\pi\)
−0.0837555 + 0.996486i \(0.526691\pi\)
\(80\) −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 0.127949 0.991781i \(-0.459161\pi\)
−0.479441 + 0.877574i \(0.659161\pi\)
\(84\) −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 0.815483 + 0.578781i \(0.196472\pi\)
−0.319540 + 0.947573i \(0.603528\pi\)
\(98\) 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 −0.508362 0.861144i \(-0.669749\pi\)
0.0948944 + 0.995487i \(0.469749\pi\)
\(102\) 1802.59 + 1309.66i 0.173259 + 0.125880i
\(103\) 12242.8 8894.90i 1.15400 0.838430i 0.164992 0.986295i \(-0.447240\pi\)
0.989008 + 0.147865i \(0.0472402\pi\)
\(104\) −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 −0.370017 0.929025i \(-0.620648\pi\)
0.997897 + 0.0648227i \(0.0206482\pi\)
\(108\) −104.375 321.233i −0.00894846 0.0275405i
\(109\) 2157.06i 0.181555i 0.995871 + 0.0907777i \(0.0289353\pi\)
−0.995871 + 0.0907777i \(0.971065\pi\)
\(110\) 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 0.866279 0.499561i \(-0.166505\pi\)
−0.207416 + 0.978253i \(0.566505\pi\)
\(114\) 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 −0.327169 0.944966i \(-0.606095\pi\)
−0.820122 + 0.572188i \(0.806095\pi\)
\(128\) −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 \(0.100589\pi\)
−0.950483 + 0.310778i \(0.899411\pi\)
\(132\) 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 0.674420 + 0.738348i \(0.264394\pi\)
−0.979607 + 0.200922i \(0.935606\pi\)
\(138\) 1415.48 + 459.916i 0.0743266 + 0.0241502i
\(139\) 3900.98 + 5369.23i 0.201903 + 0.277896i 0.897947 0.440103i \(-0.145058\pi\)
−0.696044 + 0.717999i \(0.745058\pi\)
\(140\) −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 −0.0887125 0.996057i \(-0.528275\pi\)
−0.657238 + 0.753683i \(0.728275\pi\)
\(150\) −2738.06 3768.62i −0.121692 0.167494i
\(151\) −15126.5 + 20819.8i −0.663413 + 0.913110i −0.999588 0.0286898i \(-0.990867\pi\)
0.336175 + 0.941799i \(0.390867\pi\)
\(152\) −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 −0.177653 0.984093i \(-0.556851\pi\)
−0.990826 + 0.135143i \(0.956851\pi\)
\(158\) −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 0.968153 0.250359i \(-0.0805488\pi\)
−0.930410 + 0.366521i \(0.880549\pi\)
\(164\) 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 −0.479510 0.877536i \(-0.659186\pi\)
0.127871 + 0.991791i \(0.459186\pi\)
\(168\) −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 0.0247192 0.999694i \(-0.492131\pi\)
0.943127 0.332432i \(-0.107869\pi\)
\(174\) 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 0.797154 0.603776i \(-0.206338\pi\)
−0.327891 + 0.944716i \(0.606338\pi\)
\(180\) −374.018 + 271.740i −0.0115438 + 0.00838703i
\(181\) 10097.8 31077.9i 0.308227 0.948626i −0.670226 0.742157i \(-0.733803\pi\)
0.978453 0.206469i \(-0.0661972\pi\)
\(182\) −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 −0.667048 0.745015i \(-0.732442\pi\)
0.502422 + 0.864623i \(0.332442\pi\)
\(192\) −2721.01 + 8374.39i −0.0738120 + 0.227170i
\(193\) 16807.7 + 5461.14i 0.451225 + 0.146612i 0.525809 0.850603i \(-0.323763\pi\)
−0.0745837 + 0.997215i \(0.523763\pi\)
\(194\) 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 \(-0.863502\pi\)
0.909457 0.415798i \(-0.136498\pi\)
\(198\) −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 −0.759923 0.650014i \(-0.774763\pi\)
−0.232722 + 0.972543i \(0.574763\pi\)
\(212\) 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 0.701494 0.712676i \(-0.252517\pi\)
−0.461022 + 0.887389i \(0.652517\pi\)
\(224\) −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 0.988556 0.150853i \(-0.0482021\pi\)
−0.448951 + 0.893556i \(0.648202\pi\)
\(228\) −507.215 + 698.122i −0.00975714 + 0.0134296i
\(229\) −3741.55 11515.3i −0.0713479 0.219586i 0.909024 0.416744i \(-0.136829\pi\)
−0.980372 + 0.197158i \(0.936829\pi\)
\(230\) 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 0.263776 0.964584i \(-0.415032\pi\)
0.780368 + 0.625321i \(0.215032\pi\)
\(234\) −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 −0.875406 0.483389i \(-0.839406\pi\)
0.730246 + 0.683185i \(0.239406\pi\)
\(240\) 855.740 + 2633.70i 0.0148566 + 0.0457239i
\(241\) 30792.3i 0.530161i 0.964226 + 0.265080i \(0.0853985\pi\)
−0.964226 + 0.265080i \(0.914602\pi\)
\(242\) 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 −0.703998 0.710202i \(-0.748604\pi\)
0.152100 0.988365i \(-0.451396\pi\)
\(252\) 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 −0.779942 0.625852i \(-0.784751\pi\)
0.354205 + 0.935168i \(0.384751\pi\)
\(258\) −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 \(-0.807653\pi\)
0.822913 0.568167i \(-0.192347\pi\)
\(264\) 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 −0.995844 0.0910775i \(-0.970969\pi\)
0.859189 + 0.511659i \(0.170969\pi\)
\(270\) −6752.17 2193.91i −0.0926224 0.0300948i
\(271\) −44758.1 61604.2i −0.609442 0.838825i 0.387089 0.922042i \(-0.373481\pi\)
−0.996531 + 0.0832170i \(0.973481\pi\)
\(272\) 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 0.649613 0.760265i \(-0.274931\pi\)
0.972421 + 0.233234i \(0.0749308\pi\)
\(278\) 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 0.366659 0.930356i \(-0.380502\pi\)
−0.250216 + 0.968190i \(0.580502\pi\)
\(282\) −7333.17 10093.2i −0.0922132 0.126921i
\(283\) −47234.2 + 65012.3i −0.589771 + 0.811751i −0.994724 0.102587i \(-0.967288\pi\)
0.404953 + 0.914338i \(0.367288\pi\)
\(284\) 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 0.522823 0.852441i \(-0.324879\pi\)
−0.972281 + 0.233816i \(0.924879\pi\)
\(294\) −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 \(-0.778402\pi\)
0.767303 0.641284i \(-0.221598\pi\)
\(308\) 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 0.951668 0.307128i \(-0.0993679\pi\)
0.00198576 + 0.999998i \(0.499368\pi\)
\(312\) 21607.3 15698.6i 0.221968 0.161269i
\(313\) −22788.6 + 70136.1i −0.232610 + 0.715901i 0.764819 + 0.644245i \(0.222828\pi\)
−0.997429 + 0.0716561i \(0.977172\pi\)
\(314\) −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 0.863819 + 0.503801i \(0.168066\pi\)
−0.402718 + 0.915324i \(0.631934\pi\)
\(318\) 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 0.501295 0.865276i \(-0.332857\pi\)
−0.977835 + 0.209375i \(0.932857\pi\)
\(338\) 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 0.336964 0.941518i \(-0.390600\pi\)
−0.280801 + 0.959766i \(0.590600\pi\)
\(348\) −1706.56 2348.87i −0.0140917 0.0193955i
\(349\) 58471.7 80479.3i 0.480059 0.660744i −0.498457 0.866914i \(-0.666100\pi\)
0.978516 + 0.206170i \(0.0660999\pi\)
\(350\) −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 0.987823 + 0.155580i \(0.0497246\pi\)
−0.157289 + 0.987553i \(0.550275\pi\)
\(360\) −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 −0.930125 0.367243i \(-0.880302\pi\)
0.0618443 + 0.998086i \(0.480302\pi\)
\(368\) 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 \(0.125622\pi\)
−0.923129 + 0.384489i \(0.874378\pi\)
\(374\) −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 0.727715 + 0.685880i \(0.240582\pi\)
−0.991884 + 0.127148i \(0.959418\pi\)
\(380\) 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 −0.929896 0.367824i \(-0.880103\pi\)
0.536100 0.844154i \(-0.319897\pi\)
\(384\) 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 −0.769256 0.638941i \(-0.779373\pi\)
0.369956 + 0.929049i \(0.379373\pi\)
\(390\) 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 −0.295715 0.955276i \(-0.595558\pi\)
0.800735 0.599018i \(-0.204442\pi\)
\(402\) −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 0.760528 0.649305i \(-0.224940\pi\)
0.996932 + 0.0782718i \(0.0249402\pi\)
\(410\) 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 0.308536 0.951213i \(-0.400161\pi\)
−0.809314 + 0.587376i \(0.800161\pi\)
\(422\) −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 −0.968108 0.250533i \(-0.919394\pi\)
−0.635957 + 0.771725i \(0.719394\pi\)
\(432\) −61847.1 44934.5i −0.331399 0.240776i
\(433\) 21555.5 15661.0i 0.114969 0.0835301i −0.528815 0.848737i \(-0.677363\pi\)
0.643784 + 0.765207i \(0.277363\pi\)
\(434\) 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 \(0.165518\pi\)
−0.867824 + 0.496872i \(0.834482\pi\)
\(440\) −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 0.743501 0.668735i \(-0.233164\pi\)
−0.406251 + 0.913762i \(0.633164\pi\)
\(444\) 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 0.999258 + 0.0385080i \(0.0122605\pi\)
−0.785783 + 0.618503i \(0.787740\pi\)
\(450\) 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 −0.0849588 0.996384i \(-0.527076\pi\)
−0.654393 + 0.756154i \(0.727076\pi\)
\(458\) −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 \(0.0855435\pi\)
−0.964106 + 0.265519i \(0.914457\pi\)
\(462\) 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 0.586552 + 0.809911i \(0.300485\pi\)
−0.950585 + 0.310465i \(0.899515\pi\)
\(468\) 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 0.305013 0.952348i \(-0.401339\pi\)
−0.313015 + 0.949748i \(0.601339\pi\)
\(480\) −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 0.669424 0.742880i \(-0.266541\pi\)
−0.499657 + 0.866223i \(0.666541\pi\)
\(488\) 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 0.361873 0.932227i \(-0.382137\pi\)
−0.998426 + 0.0560880i \(0.982137\pi\)
\(492\) 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 0.0229696 0.999736i \(-0.492688\pi\)
0.957904 + 0.287090i \(0.0926879\pi\)
\(500\) 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 −0.975680 0.219199i \(-0.929656\pi\)
0.509972 + 0.860191i \(0.329656\pi\)
\(504\) −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 0.757277 0.653094i \(-0.226529\pi\)
−0.387117 + 0.922030i \(0.626529\pi\)
\(510\) −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 −0.772251 0.635318i \(-0.780869\pi\)
0.365584 + 0.930778i \(0.380869\pi\)
\(522\) −124611. + 383512.i −0.457313 + 1.40747i
\(523\) −494141. 160556.i −1.80654 0.586980i −0.806548 0.591169i \(-0.798667\pi\)
−0.999991 + 0.00418925i \(0.998667\pi\)
\(524\) −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 0.390693 0.920521i \(-0.372236\pi\)
0.857146 + 0.515074i \(0.172236\pi\)
\(542\) −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 −0.856852 0.515563i \(-0.827583\pi\)
0.755111 + 0.655597i \(0.227583\pi\)
\(548\) −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 0.600890 0.799332i \(-0.294813\pi\)
−0.945895 + 0.324473i \(0.894813\pi\)
\(558\) 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 −0.00455489 0.999990i \(-0.501450\pi\)
0.584094 + 0.811686i \(0.301450\pi\)
\(564\) 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 −0.977980 0.208697i \(-0.933078\pi\)
0.500695 + 0.865624i \(0.333078\pi\)
\(570\) 5605.05 + 17250.6i 0.0172516 + 0.0530950i
\(571\) 235361.i 0.721876i −0.932590 0.360938i \(-0.882457\pi\)
0.932590 0.360938i \(-0.117543\pi\)
\(572\) −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 −0.854114 0.520086i \(-0.825900\pi\)
0.996692 + 0.0812772i \(0.0258999\pi\)
\(578\) −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 −0.972352 0.233520i \(-0.924976\pi\)
−0.0783829 + 0.996923i \(0.524976\pi\)
\(588\) 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 \(0.255173\pi\)
−0.695522 + 0.718505i \(0.744827\pi\)
\(594\) 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 −0.555396 0.831586i \(-0.687433\pi\)
0.938119 0.346314i \(-0.112567\pi\)
\(600\) 75544.4 + 24545.9i 0.209846 + 0.0681829i
\(601\) 239758. + 329999.i 0.663780 + 0.913615i 0.999599 0.0283113i \(-0.00901296\pi\)
−0.335819 + 0.941927i \(0.609013\pi\)
\(602\) −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 −0.681391 0.731919i \(-0.738625\pi\)
−0.121046 + 0.992647i \(0.538625\pi\)
\(608\) 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 −0.789209 0.614125i \(-0.789509\pi\)
0.827947 + 0.560807i \(0.189509\pi\)
\(614\) −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 0.680954 0.732326i \(-0.261565\pi\)
−0.486057 + 0.873927i \(0.661565\pi\)
\(620\) 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 −0.185176 0.982705i \(-0.559286\pi\)
0.877386 + 0.479785i \(0.159286\pi\)
\(632\) 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 0.472826 0.881156i \(-0.343234\pi\)
−0.691918 + 0.721976i \(0.743234\pi\)
\(642\) −77815.5 + 56536.3i −0.188797 + 0.137169i
\(643\) −19816.2 + 60988.0i −0.0479290 + 0.147510i −0.972157 0.234331i \(-0.924710\pi\)
0.924228 + 0.381841i \(0.124710\pi\)
\(644\) −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 0.902084 + 0.431560i \(0.142037\pi\)
−0.476137 + 0.879371i \(0.657963\pi\)
\(648\) 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 −0.854992 0.518641i \(-0.826438\pi\)
0.229050 + 0.973415i \(0.426438\pi\)
\(654\) 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 \(0.0545883\pi\)
−0.985331 + 0.170655i \(0.945412\pi\)
\(660\) −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 −0.459031 0.888420i \(-0.651803\pi\)
0.150836 + 0.988559i \(0.451803\pi\)
\(674\) −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 0.889141 0.457634i \(-0.151303\pi\)
0.450340 + 0.892857i \(0.351303\pi\)
\(678\) −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 0.871365 0.490635i \(-0.163235\pi\)
−0.993337 + 0.115244i \(0.963235\pi\)
\(692\) 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 −0.729497 0.683984i \(-0.760246\pi\)
0.875935 + 0.482430i \(0.160246\pi\)
\(702\) 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 −0.878698 0.477377i \(-0.841587\pi\)
0.991477 + 0.130280i \(0.0415875\pi\)
\(710\) 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 0.0295825 0.999562i \(-0.490582\pi\)
0.959782 + 0.280747i \(0.0905822\pi\)
\(720\) −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 0.635081 0.772446i \(-0.280967\pi\)
−0.930890 + 0.365299i \(0.880967\pi\)
\(734\) −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 0.0763074 0.997084i \(-0.475687\pi\)
0.647805 + 0.761806i \(0.275687\pi\)
\(740\) −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 0.501899 0.864926i \(-0.332635\pi\)
−0.102345 + 0.994749i \(0.532635\pi\)
\(744\) 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 0.00451049 0.999990i \(-0.498564\pi\)
−0.949653 + 0.313304i \(0.898564\pi\)
\(752\) −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 −0.909719 0.415224i \(-0.863703\pi\)
0.491916 0.870643i \(-0.336297\pi\)
\(758\) 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 0.0360944 0.999348i \(-0.488508\pi\)
0.616603 + 0.787274i \(0.288508\pi\)
\(762\) 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 \(0.129438\pi\)
−0.918454 + 0.395528i \(0.870562\pi\)
\(770\)