Properties

Label 105.4.s.a.101.4
Level $105$
Weight $4$
Character 105.101
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.4
Character \(\chi\) \(=\) 105.101
Dual form 105.4.s.a.26.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.06378 + 1.76887i) q^{2} +(-0.433556 + 5.17803i) q^{3} +(2.25781 - 3.91065i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(-7.83096 - 16.6312i) q^{6} +(5.77785 - 17.5959i) q^{7} -12.3268i q^{8} +(-26.6241 - 4.48993i) q^{9} +O(q^{10})\) \(q+(-3.06378 + 1.76887i) q^{2} +(-0.433556 + 5.17803i) q^{3} +(2.25781 - 3.91065i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(-7.83096 - 16.6312i) q^{6} +(5.77785 - 17.5959i) q^{7} -12.3268i q^{8} +(-26.6241 - 4.48993i) q^{9} +(15.3189 + 8.84436i) q^{10} +(3.05657 + 1.76471i) q^{11} +(19.2706 + 13.3865i) q^{12} -14.5404i q^{13} +(13.4229 + 64.1302i) q^{14} +(23.5054 - 11.0677i) q^{15} +(39.8671 + 69.0518i) q^{16} +(30.9412 - 53.5917i) q^{17} +(89.5123 - 33.3384i) q^{18} +(-39.8972 + 23.0346i) q^{19} -22.5781 q^{20} +(88.6072 + 37.5467i) q^{21} -12.4862 q^{22} +(99.5813 - 57.4933i) q^{23} +(63.8287 + 5.34436i) q^{24} +(-12.5000 + 21.6506i) q^{25} +(25.7201 + 44.5486i) q^{26} +(34.7920 - 135.914i) q^{27} +(-55.7661 - 62.3234i) q^{28} -127.376i q^{29} +(-52.4380 + 75.4871i) q^{30} +(183.725 + 106.074i) q^{31} +(-158.885 - 91.7322i) q^{32} +(-10.4629 + 15.0619i) q^{33} +218.924i q^{34} +(-90.6372 + 18.9710i) q^{35} +(-77.6707 + 93.9799i) q^{36} +(-142.232 - 246.353i) q^{37} +(81.4907 - 141.146i) q^{38} +(75.2907 + 6.30408i) q^{39} +(-53.3767 + 30.8170i) q^{40} -328.199 q^{41} +(-337.888 + 41.7001i) q^{42} -108.351 q^{43} +(13.8023 - 7.96879i) q^{44} +(47.1182 + 126.510i) q^{45} +(-203.396 + 352.293i) q^{46} +(-194.765 - 337.343i) q^{47} +(-374.837 + 176.495i) q^{48} +(-276.233 - 203.333i) q^{49} -88.4436i q^{50} +(264.085 + 183.450i) q^{51} +(-56.8624 - 32.8295i) q^{52} +(514.874 + 297.263i) q^{53} +(133.819 + 477.951i) q^{54} -17.6471i q^{55} +(-216.902 - 71.2225i) q^{56} +(-101.976 - 216.576i) q^{57} +(225.313 + 390.253i) q^{58} +(275.460 - 477.110i) q^{59} +(9.78888 - 116.910i) q^{60} +(411.663 - 237.674i) q^{61} -750.523 q^{62} +(-232.834 + 442.533i) q^{63} +11.1767 q^{64} +(-62.9618 + 36.3510i) q^{65} +(5.41347 - 64.6540i) q^{66} +(208.025 - 360.310i) q^{67} +(-139.719 - 242.000i) q^{68} +(254.528 + 540.562i) q^{69} +(244.135 - 218.448i) q^{70} -399.916i q^{71} +(-55.3466 + 328.190i) q^{72} +(-134.493 - 77.6498i) q^{73} +(871.535 + 503.181i) q^{74} +(-106.688 - 74.1122i) q^{75} +208.032i q^{76} +(48.7122 - 43.5870i) q^{77} +(-241.825 + 113.865i) q^{78} +(-586.016 - 1015.01i) q^{79} +(199.335 - 345.259i) q^{80} +(688.681 + 239.080i) q^{81} +(1005.53 - 580.543i) q^{82} +4.43096 q^{83} +(346.891 - 261.738i) q^{84} -309.412 q^{85} +(331.963 - 191.659i) q^{86} +(659.560 + 55.2248i) q^{87} +(21.7533 - 37.6778i) q^{88} +(505.709 + 875.913i) q^{89} +(-368.140 - 304.253i) q^{90} +(-255.852 - 84.0123i) q^{91} -519.236i q^{92} +(-628.908 + 905.346i) q^{93} +(1193.43 + 689.028i) q^{94} +(199.486 + 115.173i) q^{95} +(543.878 - 782.940i) q^{96} -27.5269i q^{97} +(1205.99 + 134.347i) q^{98} +(-73.4549 - 60.7076i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.06378 + 1.76887i −1.08321 + 0.625391i −0.931760 0.363075i \(-0.881727\pi\)
−0.151448 + 0.988465i \(0.548394\pi\)
\(3\) −0.433556 + 5.17803i −0.0834379 + 0.996513i
\(4\) 2.25781 3.91065i 0.282227 0.488831i
\(5\) −2.50000 4.33013i −0.223607 0.387298i
\(6\) −7.83096 16.6312i −0.532829 1.13161i
\(7\) 5.77785 17.5959i 0.311975 0.950090i
\(8\) 12.3268i 0.544773i
\(9\) −26.6241 4.48993i −0.986076 0.166294i
\(10\) 15.3189 + 8.84436i 0.484425 + 0.279683i
\(11\) 3.05657 + 1.76471i 0.0837811 + 0.0483710i 0.541305 0.840826i \(-0.317930\pi\)
−0.457524 + 0.889197i \(0.651264\pi\)
\(12\) 19.2706 + 13.3865i 0.463578 + 0.322030i
\(13\) 14.5404i 0.310214i −0.987898 0.155107i \(-0.950428\pi\)
0.987898 0.155107i \(-0.0495723\pi\)
\(14\) 13.4229 + 64.1302i 0.256244 + 1.22425i
\(15\) 23.5054 11.0677i 0.404605 0.190512i
\(16\) 39.8671 + 69.0518i 0.622923 + 1.07893i
\(17\) 30.9412 53.5917i 0.441432 0.764582i −0.556364 0.830939i \(-0.687804\pi\)
0.997796 + 0.0663561i \(0.0211373\pi\)
\(18\) 89.5123 33.3384i 1.17212 0.436552i
\(19\) −39.8972 + 23.0346i −0.481739 + 0.278132i −0.721141 0.692788i \(-0.756382\pi\)
0.239402 + 0.970921i \(0.423049\pi\)
\(20\) −22.5781 −0.252431
\(21\) 88.6072 + 37.5467i 0.920747 + 0.390160i
\(22\) −12.4862 −0.121003
\(23\) 99.5813 57.4933i 0.902788 0.521225i 0.0246846 0.999695i \(-0.492142\pi\)
0.878104 + 0.478470i \(0.158809\pi\)
\(24\) 63.8287 + 5.34436i 0.542874 + 0.0454547i
\(25\) −12.5000 + 21.6506i −0.100000 + 0.173205i
\(26\) 25.7201 + 44.5486i 0.194005 + 0.336027i
\(27\) 34.7920 135.914i 0.247990 0.968763i
\(28\) −55.7661 62.3234i −0.376386 0.420644i
\(29\) 127.376i 0.815628i −0.913065 0.407814i \(-0.866291\pi\)
0.913065 0.407814i \(-0.133709\pi\)
\(30\) −52.4380 + 75.4871i −0.319127 + 0.459400i
\(31\) 183.725 + 106.074i 1.06445 + 0.614561i 0.926660 0.375900i \(-0.122666\pi\)
0.137791 + 0.990461i \(0.456000\pi\)
\(32\) −158.885 91.7322i −0.877723 0.506753i
\(33\) −10.4629 + 15.0619i −0.0551929 + 0.0794529i
\(34\) 218.924i 1.10427i
\(35\) −90.6372 + 18.9710i −0.437728 + 0.0916194i
\(36\) −77.6707 + 93.9799i −0.359587 + 0.435092i
\(37\) −142.232 246.353i −0.631969 1.09460i −0.987149 0.159804i \(-0.948914\pi\)
0.355180 0.934798i \(-0.384419\pi\)
\(38\) 81.4907 141.146i 0.347882 0.602550i
\(39\) 75.2907 + 6.30408i 0.309132 + 0.0258836i
\(40\) −53.3767 + 30.8170i −0.210990 + 0.121815i
\(41\) −328.199 −1.25015 −0.625075 0.780565i \(-0.714932\pi\)
−0.625075 + 0.780565i \(0.714932\pi\)
\(42\) −337.888 + 41.7001i −1.24136 + 0.153202i
\(43\) −108.351 −0.384264 −0.192132 0.981369i \(-0.561540\pi\)
−0.192132 + 0.981369i \(0.561540\pi\)
\(44\) 13.8023 7.96879i 0.0472905 0.0273032i
\(45\) 47.1182 + 126.510i 0.156088 + 0.419090i
\(46\) −203.396 + 352.293i −0.651939 + 1.12919i
\(47\) −194.765 337.343i −0.604455 1.04695i −0.992137 0.125154i \(-0.960058\pi\)
0.387682 0.921793i \(-0.373276\pi\)
\(48\) −374.837 + 176.495i −1.12715 + 0.530727i
\(49\) −276.233 203.333i −0.805344 0.592808i
\(50\) 88.4436i 0.250156i
\(51\) 264.085 + 183.450i 0.725084 + 0.503688i
\(52\) −56.8624 32.8295i −0.151642 0.0875507i
\(53\) 514.874 + 297.263i 1.33440 + 0.770418i 0.985971 0.166915i \(-0.0533807\pi\)
0.348433 + 0.937334i \(0.386714\pi\)
\(54\) 133.819 + 477.951i 0.337230 + 1.20446i
\(55\) 17.6471i 0.0432643i
\(56\) −216.902 71.2225i −0.517584 0.169955i
\(57\) −101.976 216.576i −0.236967 0.503266i
\(58\) 225.313 + 390.253i 0.510086 + 0.883495i
\(59\) 275.460 477.110i 0.607827 1.05279i −0.383770 0.923429i \(-0.625375\pi\)
0.991598 0.129359i \(-0.0412921\pi\)
\(60\) 9.78888 116.910i 0.0210623 0.251551i
\(61\) 411.663 237.674i 0.864067 0.498869i −0.00130515 0.999999i \(-0.500415\pi\)
0.865372 + 0.501130i \(0.167082\pi\)
\(62\) −750.523 −1.53736
\(63\) −232.834 + 442.533i −0.465625 + 0.884982i
\(64\) 11.1767 0.0218295
\(65\) −62.9618 + 36.3510i −0.120145 + 0.0693660i
\(66\) 5.41347 64.6540i 0.0100962 0.120581i
\(67\) 208.025 360.310i 0.379318 0.656998i −0.611645 0.791132i \(-0.709492\pi\)
0.990963 + 0.134134i \(0.0428253\pi\)
\(68\) −139.719 242.000i −0.249168 0.431571i
\(69\) 254.528 + 540.562i 0.444081 + 0.943130i
\(70\) 244.135 218.448i 0.416853 0.372994i
\(71\) 399.916i 0.668470i −0.942490 0.334235i \(-0.891522\pi\)
0.942490 0.334235i \(-0.108478\pi\)
\(72\) −55.3466 + 328.190i −0.0905925 + 0.537188i
\(73\) −134.493 77.6498i −0.215634 0.124496i 0.388293 0.921536i \(-0.373065\pi\)
−0.603927 + 0.797040i \(0.706398\pi\)
\(74\) 871.535 + 503.181i 1.36911 + 0.790454i
\(75\) −106.688 74.1122i −0.164257 0.114103i
\(76\) 208.032i 0.313985i
\(77\) 48.7122 43.5870i 0.0720944 0.0645090i
\(78\) −241.825 + 113.865i −0.351042 + 0.165291i
\(79\) −586.016 1015.01i −0.834581 1.44554i −0.894371 0.447326i \(-0.852376\pi\)
0.0597897 0.998211i \(-0.480957\pi\)
\(80\) 199.335 345.259i 0.278580 0.482514i
\(81\) 688.681 + 239.080i 0.944693 + 0.327957i
\(82\) 1005.53 580.543i 1.35417 0.781832i
\(83\) 4.43096 0.00585977 0.00292988 0.999996i \(-0.499067\pi\)
0.00292988 + 0.999996i \(0.499067\pi\)
\(84\) 346.891 261.738i 0.450582 0.339976i
\(85\) −309.412 −0.394829
\(86\) 331.963 191.659i 0.416238 0.240315i
\(87\) 659.560 + 55.2248i 0.812784 + 0.0680543i
\(88\) 21.7533 37.6778i 0.0263512 0.0456417i
\(89\) 505.709 + 875.913i 0.602303 + 1.04322i 0.992471 + 0.122476i \(0.0390836\pi\)
−0.390168 + 0.920744i \(0.627583\pi\)
\(90\) −368.140 304.253i −0.431171 0.356346i
\(91\) −255.852 84.0123i −0.294732 0.0967789i
\(92\) 519.236i 0.588415i
\(93\) −628.908 + 905.346i −0.701234 + 1.00946i
\(94\) 1193.43 + 689.028i 1.30950 + 0.756041i
\(95\) 199.486 + 115.173i 0.215440 + 0.124384i
\(96\) 543.878 782.940i 0.578222 0.832380i
\(97\) 27.5269i 0.0288137i −0.999896 0.0144069i \(-0.995414\pi\)
0.999896 0.0144069i \(-0.00458600\pi\)
\(98\) 1205.99 + 134.347i 1.24309 + 0.138480i
\(99\) −73.4549 60.7076i −0.0745707 0.0616298i
\(100\) 56.4453 + 97.7662i 0.0564453 + 0.0977662i
\(101\) −953.191 + 1650.97i −0.939069 + 1.62652i −0.171858 + 0.985122i \(0.554977\pi\)
−0.767211 + 0.641394i \(0.778356\pi\)
\(102\) −1133.60 94.9158i −1.10042 0.0921379i
\(103\) 1509.53 871.529i 1.44407 0.833732i 0.445948 0.895059i \(-0.352867\pi\)
0.998118 + 0.0613274i \(0.0195334\pi\)
\(104\) −179.237 −0.168996
\(105\) −58.9361 477.547i −0.0547769 0.443846i
\(106\) −2103.28 −1.92725
\(107\) −1554.57 + 897.534i −1.40455 + 0.810915i −0.994855 0.101310i \(-0.967697\pi\)
−0.409690 + 0.912225i \(0.634363\pi\)
\(108\) −452.956 442.927i −0.403572 0.394636i
\(109\) −382.680 + 662.821i −0.336276 + 0.582447i −0.983729 0.179658i \(-0.942501\pi\)
0.647453 + 0.762105i \(0.275834\pi\)
\(110\) 31.2155 + 54.0669i 0.0270571 + 0.0468643i
\(111\) 1337.29 629.675i 1.14351 0.538434i
\(112\) 1445.38 302.527i 1.21942 0.255233i
\(113\) 142.010i 0.118222i −0.998251 0.0591112i \(-0.981173\pi\)
0.998251 0.0591112i \(-0.0188267\pi\)
\(114\) 695.528 + 483.156i 0.571422 + 0.396945i
\(115\) −497.906 287.466i −0.403739 0.233099i
\(116\) −498.124 287.592i −0.398704 0.230192i
\(117\) −65.2855 + 387.125i −0.0515867 + 0.305895i
\(118\) 1949.01i 1.52052i
\(119\) −764.222 854.084i −0.588707 0.657931i
\(120\) −136.430 289.747i −0.103786 0.220418i
\(121\) −659.272 1141.89i −0.495320 0.857920i
\(122\) −840.829 + 1456.36i −0.623976 + 1.08076i
\(123\) 142.293 1699.43i 0.104310 1.24579i
\(124\) 829.634 478.989i 0.600833 0.346891i
\(125\) 125.000 0.0894427
\(126\) −69.4314 1767.67i −0.0490908 1.24982i
\(127\) −2291.18 −1.60086 −0.800430 0.599426i \(-0.795396\pi\)
−0.800430 + 0.599426i \(0.795396\pi\)
\(128\) 1236.84 714.087i 0.854077 0.493101i
\(129\) 46.9762 561.045i 0.0320622 0.382925i
\(130\) 128.601 222.743i 0.0867617 0.150276i
\(131\) 259.146 + 448.855i 0.172838 + 0.299364i 0.939411 0.342793i \(-0.111373\pi\)
−0.766573 + 0.642157i \(0.778040\pi\)
\(132\) 35.2786 + 74.9239i 0.0232622 + 0.0494037i
\(133\) 174.796 + 835.118i 0.113960 + 0.544466i
\(134\) 1471.88i 0.948888i
\(135\) −675.503 + 189.130i −0.430652 + 0.120576i
\(136\) −660.615 381.406i −0.416524 0.240480i
\(137\) −1012.79 584.732i −0.631593 0.364650i 0.149776 0.988720i \(-0.452145\pi\)
−0.781369 + 0.624070i \(0.785478\pi\)
\(138\) −1736.00 1205.93i −1.07086 0.743883i
\(139\) 2599.73i 1.58638i 0.608977 + 0.793188i \(0.291580\pi\)
−0.608977 + 0.793188i \(0.708420\pi\)
\(140\) −130.453 + 397.283i −0.0787521 + 0.239833i
\(141\) 1831.21 862.243i 1.09373 0.514992i
\(142\) 707.401 + 1225.25i 0.418055 + 0.724092i
\(143\) 25.6597 44.4438i 0.0150054 0.0259901i
\(144\) −751.385 2017.44i −0.434829 1.16750i
\(145\) −551.556 + 318.441i −0.315891 + 0.182380i
\(146\) 549.410 0.311435
\(147\) 1172.63 1342.19i 0.657937 0.753073i
\(148\) −1284.54 −0.713434
\(149\) 435.444 251.404i 0.239416 0.138227i −0.375492 0.926825i \(-0.622526\pi\)
0.614908 + 0.788599i \(0.289193\pi\)
\(150\) 457.964 + 38.3452i 0.249284 + 0.0208725i
\(151\) −1175.38 + 2035.82i −0.633452 + 1.09717i 0.353389 + 0.935477i \(0.385029\pi\)
−0.986841 + 0.161695i \(0.948304\pi\)
\(152\) 283.944 + 491.805i 0.151519 + 0.262439i
\(153\) −1064.40 + 1287.91i −0.562431 + 0.680529i
\(154\) −72.1434 + 219.706i −0.0377499 + 0.114964i
\(155\) 1060.74i 0.549680i
\(156\) 194.645 280.202i 0.0998981 0.143808i
\(157\) 2469.13 + 1425.55i 1.25515 + 0.724659i 0.972127 0.234455i \(-0.0753306\pi\)
0.283019 + 0.959114i \(0.408664\pi\)
\(158\) 3590.84 + 2073.17i 1.80805 + 1.04388i
\(159\) −1762.46 + 2537.16i −0.879072 + 1.26547i
\(160\) 917.322i 0.453254i
\(161\) −436.282 2084.41i −0.213564 1.02034i
\(162\) −2532.87 + 485.699i −1.22840 + 0.235556i
\(163\) −1119.63 1939.25i −0.538011 0.931863i −0.999011 0.0444628i \(-0.985842\pi\)
0.461000 0.887400i \(-0.347491\pi\)
\(164\) −741.013 + 1283.47i −0.352826 + 0.611112i
\(165\) 91.3775 + 7.65102i 0.0431135 + 0.00360988i
\(166\) −13.5755 + 7.83779i −0.00634735 + 0.00366464i
\(167\) 2469.34 1.14421 0.572105 0.820181i \(-0.306127\pi\)
0.572105 + 0.820181i \(0.306127\pi\)
\(168\) 462.831 1092.25i 0.212549 0.501599i
\(169\) 1985.58 0.903767
\(170\) 947.969 547.310i 0.427682 0.246922i
\(171\) 1165.65 434.140i 0.521283 0.194149i
\(172\) −244.636 + 423.723i −0.108450 + 0.187840i
\(173\) 373.114 + 646.252i 0.163973 + 0.284009i 0.936290 0.351228i \(-0.114236\pi\)
−0.772317 + 0.635237i \(0.780902\pi\)
\(174\) −2118.43 + 997.480i −0.922975 + 0.434590i
\(175\) 308.740 + 345.043i 0.133363 + 0.149045i
\(176\) 281.416i 0.120526i
\(177\) 2351.07 + 1633.19i 0.998401 + 0.693550i
\(178\) −3098.76 1789.07i −1.30484 0.753350i
\(179\) −2952.97 1704.90i −1.23305 0.711901i −0.265384 0.964143i \(-0.585499\pi\)
−0.967664 + 0.252242i \(0.918832\pi\)
\(180\) 601.122 + 101.374i 0.248916 + 0.0419778i
\(181\) 2937.61i 1.20636i 0.797607 + 0.603178i \(0.206099\pi\)
−0.797607 + 0.603178i \(0.793901\pi\)
\(182\) 932.480 195.174i 0.379780 0.0794906i
\(183\) 1052.20 + 2234.65i 0.425034 + 0.902679i
\(184\) −708.709 1227.52i −0.283950 0.491815i
\(185\) −711.161 + 1231.77i −0.282625 + 0.489521i
\(186\) 325.394 3886.23i 0.128274 1.53200i
\(187\) 189.148 109.205i 0.0739673 0.0427050i
\(188\) −1758.97 −0.682374
\(189\) −2190.50 1397.49i −0.843045 0.537842i
\(190\) −814.907 −0.311155
\(191\) 92.6615 53.4982i 0.0351034 0.0202670i −0.482346 0.875981i \(-0.660215\pi\)
0.517449 + 0.855714i \(0.326882\pi\)
\(192\) −4.84573 + 57.8735i −0.00182141 + 0.0217534i
\(193\) 1091.15 1889.93i 0.406958 0.704871i −0.587590 0.809159i \(-0.699923\pi\)
0.994547 + 0.104288i \(0.0332563\pi\)
\(194\) 48.6915 + 84.3362i 0.0180198 + 0.0312113i
\(195\) −160.929 341.779i −0.0590994 0.125514i
\(196\) −1418.85 + 621.161i −0.517073 + 0.226371i
\(197\) 205.038i 0.0741541i −0.999312 0.0370771i \(-0.988195\pi\)
0.999312 0.0370771i \(-0.0118047\pi\)
\(198\) 332.433 + 56.0622i 0.119318 + 0.0201221i
\(199\) −2307.14 1332.03i −0.821854 0.474498i 0.0292011 0.999574i \(-0.490704\pi\)
−0.851056 + 0.525076i \(0.824037\pi\)
\(200\) 266.883 + 154.085i 0.0943575 + 0.0544773i
\(201\) 1775.51 + 1233.38i 0.623058 + 0.432814i
\(202\) 6744.29i 2.34914i
\(203\) −2241.31 735.962i −0.774920 0.254455i
\(204\) 1313.66 618.549i 0.450856 0.212290i
\(205\) 820.499 + 1421.15i 0.279542 + 0.484181i
\(206\) −3083.25 + 5340.34i −1.04282 + 1.80621i
\(207\) −2909.40 + 1083.59i −0.976895 + 0.363840i
\(208\) 1004.04 579.683i 0.334701 0.193239i
\(209\) −162.598 −0.0538141
\(210\) 1025.29 + 1358.85i 0.336912 + 0.446521i
\(211\) 3884.53 1.26740 0.633701 0.773578i \(-0.281535\pi\)
0.633701 + 0.773578i \(0.281535\pi\)
\(212\) 2324.98 1342.33i 0.753209 0.434865i
\(213\) 2070.78 + 173.386i 0.666139 + 0.0557757i
\(214\) 3175.24 5499.68i 1.01428 1.75678i
\(215\) 270.877 + 469.174i 0.0859241 + 0.148825i
\(216\) −1675.38 428.875i −0.527756 0.135098i
\(217\) 2928.00 2619.93i 0.915971 0.819598i
\(218\) 2707.65i 0.841216i
\(219\) 460.384 662.746i 0.142054 0.204494i
\(220\) −69.0117 39.8439i −0.0211490 0.0122104i
\(221\) −779.246 449.898i −0.237184 0.136938i
\(222\) −2983.35 + 4294.68i −0.901933 + 1.29838i
\(223\) 563.780i 0.169298i 0.996411 + 0.0846490i \(0.0269769\pi\)
−0.996411 + 0.0846490i \(0.973023\pi\)
\(224\) −2532.12 + 2265.71i −0.755289 + 0.675822i
\(225\) 430.011 520.304i 0.127411 0.154164i
\(226\) 251.197 + 435.085i 0.0739352 + 0.128059i
\(227\) 437.969 758.584i 0.128057 0.221802i −0.794867 0.606784i \(-0.792459\pi\)
0.922924 + 0.384982i \(0.125793\pi\)
\(228\) −1077.20 90.1934i −0.312890 0.0261983i
\(229\) 4417.95 2550.70i 1.27487 0.736049i 0.298973 0.954262i \(-0.403356\pi\)
0.975901 + 0.218213i \(0.0700227\pi\)
\(230\) 2033.96 0.583112
\(231\) 204.575 + 271.131i 0.0582687 + 0.0772255i
\(232\) −1570.15 −0.444332
\(233\) −5036.52 + 2907.84i −1.41611 + 0.817591i −0.995954 0.0898610i \(-0.971358\pi\)
−0.420155 + 0.907452i \(0.638024\pi\)
\(234\) −484.754 1301.54i −0.135425 0.363610i
\(235\) −973.825 + 1686.71i −0.270321 + 0.468209i
\(236\) −1243.87 2154.45i −0.343090 0.594250i
\(237\) 5509.82 2594.35i 1.51013 0.711059i
\(238\) 3852.17 + 1264.91i 1.04916 + 0.344504i
\(239\) 3786.80i 1.02489i −0.858721 0.512443i \(-0.828741\pi\)
0.858721 0.512443i \(-0.171259\pi\)
\(240\) 1701.34 + 1181.85i 0.457587 + 0.317868i
\(241\) 2248.22 + 1298.01i 0.600915 + 0.346938i 0.769401 0.638766i \(-0.220555\pi\)
−0.168486 + 0.985704i \(0.553888\pi\)
\(242\) 4039.72 + 2332.33i 1.07307 + 0.619538i
\(243\) −1536.55 + 3462.36i −0.405636 + 0.914035i
\(244\) 2146.49i 0.563177i
\(245\) −189.876 + 1704.46i −0.0495133 + 0.444464i
\(246\) 2570.12 + 5458.36i 0.666116 + 1.41469i
\(247\) 334.933 + 580.121i 0.0862805 + 0.149442i
\(248\) 1307.55 2264.74i 0.334797 0.579885i
\(249\) −1.92107 + 22.9436i −0.000488926 + 0.00583933i
\(250\) −382.972 + 221.109i −0.0968851 + 0.0559366i
\(251\) 4377.60 1.10084 0.550422 0.834887i \(-0.314467\pi\)
0.550422 + 0.834887i \(0.314467\pi\)
\(252\) 1204.89 + 1909.69i 0.301195 + 0.477377i
\(253\) 405.837 0.100849
\(254\) 7019.66 4052.80i 1.73407 1.00116i
\(255\) 134.147 1602.15i 0.0329437 0.393452i
\(256\) −2570.96 + 4453.04i −0.627677 + 1.08717i
\(257\) 283.243 + 490.592i 0.0687480 + 0.119075i 0.898350 0.439280i \(-0.144766\pi\)
−0.829602 + 0.558355i \(0.811433\pi\)
\(258\) 848.492 + 1802.01i 0.204747 + 0.434838i
\(259\) −5156.61 + 1079.31i −1.23713 + 0.258939i
\(260\) 328.295i 0.0783077i
\(261\) −571.912 + 3391.28i −0.135634 + 0.804271i
\(262\) −1587.93 916.794i −0.374438 0.216182i
\(263\) 1051.70 + 607.199i 0.246580 + 0.142363i 0.618197 0.786023i \(-0.287863\pi\)
−0.371617 + 0.928386i \(0.621197\pi\)
\(264\) 185.666 + 128.975i 0.0432838 + 0.0300676i
\(265\) 2972.63i 0.689083i
\(266\) −2012.75 2249.42i −0.463946 0.518500i
\(267\) −4754.76 + 2238.82i −1.08984 + 0.513159i
\(268\) −939.364 1627.03i −0.214107 0.370845i
\(269\) 454.101 786.526i 0.102926 0.178273i −0.809963 0.586481i \(-0.800513\pi\)
0.912889 + 0.408208i \(0.133846\pi\)
\(270\) 1735.04 1774.33i 0.391079 0.399935i
\(271\) −3758.84 + 2170.17i −0.842558 + 0.486451i −0.858133 0.513427i \(-0.828376\pi\)
0.0155746 + 0.999879i \(0.495042\pi\)
\(272\) 4934.14 1.09991
\(273\) 545.945 1288.39i 0.121033 0.285629i
\(274\) 4137.27 0.912195
\(275\) −76.4143 + 44.1178i −0.0167562 + 0.00967420i
\(276\) 2688.62 + 225.118i 0.586363 + 0.0490961i
\(277\) −3194.05 + 5532.26i −0.692823 + 1.20001i 0.278086 + 0.960556i \(0.410300\pi\)
−0.970909 + 0.239449i \(0.923033\pi\)
\(278\) −4598.59 7964.99i −0.992105 1.71838i
\(279\) −4415.24 3649.03i −0.947433 0.783016i
\(280\) 233.852 + 1117.27i 0.0499118 + 0.238463i
\(281\) 3345.41i 0.710216i −0.934825 0.355108i \(-0.884444\pi\)
0.934825 0.355108i \(-0.115556\pi\)
\(282\) −4085.23 + 5880.90i −0.862667 + 1.24185i
\(283\) 949.320 + 548.090i 0.199404 + 0.115126i 0.596377 0.802704i \(-0.296606\pi\)
−0.396974 + 0.917830i \(0.629940\pi\)
\(284\) −1563.93 902.937i −0.326769 0.188660i
\(285\) −682.859 + 983.010i −0.141927 + 0.204311i
\(286\) 181.555i 0.0375369i
\(287\) −1896.29 + 5774.97i −0.390015 + 1.18776i
\(288\) 3818.29 + 3155.66i 0.781232 + 0.645657i
\(289\) 541.785 + 938.399i 0.110276 + 0.191003i
\(290\) 1126.56 1951.26i 0.228117 0.395111i
\(291\) 142.535 + 11.9344i 0.0287132 + 0.00240415i
\(292\) −607.322 + 350.638i −0.121715 + 0.0702723i
\(293\) −4350.28 −0.867392 −0.433696 0.901059i \(-0.642791\pi\)
−0.433696 + 0.901059i \(0.642791\pi\)
\(294\) −1218.51 + 6186.39i −0.241718 + 1.22720i
\(295\) −2754.60 −0.543657
\(296\) −3036.75 + 1753.27i −0.596310 + 0.344280i
\(297\) 346.193 354.032i 0.0676369 0.0691684i
\(298\) −889.402 + 1540.49i −0.172891 + 0.299457i
\(299\) −835.976 1447.95i −0.161691 0.280058i
\(300\) −530.709 + 249.889i −0.102135 + 0.0480911i
\(301\) −626.036 + 1906.54i −0.119881 + 0.365086i
\(302\) 8316.40i 1.58462i
\(303\) −8135.54 5651.44i −1.54249 1.07151i
\(304\) −3181.17 1836.65i −0.600172 0.346510i
\(305\) −2058.32 1188.37i −0.386422 0.223101i
\(306\) 982.954 5828.65i 0.183633 1.08889i
\(307\) 5750.86i 1.06912i −0.845132 0.534558i \(-0.820478\pi\)
0.845132 0.534558i \(-0.179522\pi\)
\(308\) −60.4703 288.907i −0.0111871 0.0534482i
\(309\) 3858.34 + 8194.27i 0.710335 + 1.50859i
\(310\) 1876.31 + 3249.86i 0.343765 + 0.595418i
\(311\) 2750.86 4764.63i 0.501565 0.868737i −0.498433 0.866928i \(-0.666091\pi\)
0.999998 0.00180853i \(-0.000575673\pi\)
\(312\) 77.7092 928.095i 0.0141007 0.168407i
\(313\) 623.841 360.175i 0.112657 0.0650424i −0.442613 0.896713i \(-0.645948\pi\)
0.555270 + 0.831670i \(0.312615\pi\)
\(314\) −10086.5 −1.81278
\(315\) 2498.31 98.1295i 0.446869 0.0175523i
\(316\) −5292.46 −0.942164
\(317\) −106.684 + 61.5942i −0.0189022 + 0.0109132i −0.509421 0.860517i \(-0.670141\pi\)
0.490519 + 0.871430i \(0.336807\pi\)
\(318\) 911.889 10890.8i 0.160806 1.92053i
\(319\) 224.783 389.335i 0.0394528 0.0683342i
\(320\) −27.9418 48.3966i −0.00488123 0.00845454i
\(321\) −3973.47 8438.77i −0.690895 1.46731i
\(322\) 5023.73 + 5614.44i 0.869445 + 0.971679i
\(323\) 2850.88i 0.491105i
\(324\) 2489.87 2153.39i 0.426933 0.369237i
\(325\) 314.809 + 181.755i 0.0537307 + 0.0310214i
\(326\) 6860.56 + 3960.95i 1.16556 + 0.672935i
\(327\) −3266.20 2268.90i −0.552358 0.383702i
\(328\) 4045.65i 0.681048i
\(329\) −7061.18 + 1477.95i −1.18327 + 0.247666i
\(330\) −293.494 + 138.194i −0.0489585 + 0.0230525i
\(331\) −4816.06 8341.66i −0.799742 1.38519i −0.919784 0.392425i \(-0.871636\pi\)
0.120042 0.992769i \(-0.461697\pi\)
\(332\) 10.0043 17.3279i 0.00165378 0.00286443i
\(333\) 2680.69 + 7197.54i 0.441144 + 1.18445i
\(334\) −7565.49 + 4367.94i −1.23942 + 0.715578i
\(335\) −2080.25 −0.339272
\(336\) 939.843 + 7615.37i 0.152597 + 1.23647i
\(337\) 4977.75 0.804615 0.402308 0.915505i \(-0.368208\pi\)
0.402308 + 0.915505i \(0.368208\pi\)
\(338\) −6083.36 + 3512.23i −0.978968 + 0.565207i
\(339\) 735.330 + 61.5691i 0.117810 + 0.00986422i
\(340\) −698.595 + 1210.00i −0.111431 + 0.193005i
\(341\) 374.379 + 648.444i 0.0594539 + 0.102977i
\(342\) −2803.35 + 3391.99i −0.443239 + 0.536309i
\(343\) −5173.87 + 3685.74i −0.814468 + 0.580208i
\(344\) 1335.62i 0.209337i
\(345\) 1704.38 2453.54i 0.265973 0.382882i
\(346\) −2286.27 1319.98i −0.355234 0.205094i
\(347\) 5974.28 + 3449.25i 0.924254 + 0.533618i 0.884990 0.465610i \(-0.154165\pi\)
0.0392645 + 0.999229i \(0.487499\pi\)
\(348\) 1705.13 2454.62i 0.262656 0.378107i
\(349\) 5143.79i 0.788942i 0.918908 + 0.394471i \(0.129072\pi\)
−0.918908 + 0.394471i \(0.870928\pi\)
\(350\) −1556.25 511.014i −0.237671 0.0780424i
\(351\) −1976.24 505.890i −0.300524 0.0769300i
\(352\) −323.762 560.772i −0.0490244 0.0849127i
\(353\) −2903.48 + 5028.97i −0.437781 + 0.758258i −0.997518 0.0704119i \(-0.977569\pi\)
0.559737 + 0.828670i \(0.310902\pi\)
\(354\) −10092.1 845.006i −1.51522 0.126869i
\(355\) −1731.69 + 999.791i −0.258897 + 0.149474i
\(356\) 4567.18 0.679944
\(357\) 4753.81 3586.87i 0.704757 0.531758i
\(358\) 12063.0 1.78086
\(359\) 6501.82 3753.83i 0.955857 0.551864i 0.0609616 0.998140i \(-0.480583\pi\)
0.894896 + 0.446276i \(0.147250\pi\)
\(360\) 1559.47 580.817i 0.228309 0.0850326i
\(361\) −2368.31 + 4102.03i −0.345285 + 0.598051i
\(362\) −5196.25 9000.16i −0.754444 1.30674i
\(363\) 6198.59 2918.66i 0.896257 0.422010i
\(364\) −906.208 + 810.863i −0.130490 + 0.116760i
\(365\) 776.498i 0.111353i
\(366\) −7176.53 4985.25i −1.02493 0.711977i
\(367\) 8497.92 + 4906.28i 1.20869 + 0.697835i 0.962472 0.271380i \(-0.0874800\pi\)
0.246214 + 0.969215i \(0.420813\pi\)
\(368\) 7940.03 + 4584.18i 1.12474 + 0.649366i
\(369\) 8738.00 + 1473.59i 1.23274 + 0.207892i
\(370\) 5031.81i 0.707004i
\(371\) 8205.48 7342.14i 1.14827 1.02745i
\(372\) 2120.53 + 4503.54i 0.295549 + 0.627682i
\(373\) −2300.91 3985.29i −0.319401 0.553219i 0.660962 0.750419i \(-0.270148\pi\)
−0.980363 + 0.197200i \(0.936815\pi\)
\(374\) −386.338 + 669.157i −0.0534146 + 0.0925169i
\(375\) −54.1945 + 647.254i −0.00746291 + 0.0891308i
\(376\) −4158.36 + 2400.83i −0.570349 + 0.329291i
\(377\) −1852.11 −0.253019
\(378\) 9183.18 + 406.868i 1.24956 + 0.0553625i
\(379\) 10325.6 1.39945 0.699726 0.714412i \(-0.253306\pi\)
0.699726 + 0.714412i \(0.253306\pi\)
\(380\) 900.804 520.079i 0.121606 0.0702092i
\(381\) 993.354 11863.8i 0.133572 1.59528i
\(382\) −189.263 + 327.813i −0.0253495 + 0.0439067i
\(383\) −1615.63 2798.35i −0.215548 0.373339i 0.737894 0.674916i \(-0.235820\pi\)
−0.953442 + 0.301577i \(0.902487\pi\)
\(384\) 3161.33 + 6713.97i 0.420120 + 0.892242i
\(385\) −310.518 101.963i −0.0411050 0.0134974i
\(386\) 7720.43i 1.01803i
\(387\) 2884.74 + 486.489i 0.378914 + 0.0639008i
\(388\) −107.648 62.1506i −0.0140850 0.00813200i
\(389\) 10881.5 + 6282.46i 1.41829 + 0.818851i 0.996149 0.0876781i \(-0.0279447\pi\)
0.422143 + 0.906529i \(0.361278\pi\)
\(390\) 1097.61 + 762.470i 0.142512 + 0.0989978i
\(391\) 7115.64i 0.920342i
\(392\) −2506.45 + 3405.07i −0.322946 + 0.438730i
\(393\) −2436.54 + 1147.27i −0.312741 + 0.147257i
\(394\) 362.686 + 628.191i 0.0463753 + 0.0803244i
\(395\) −2930.08 + 5075.04i −0.373236 + 0.646464i
\(396\) −403.254 + 150.190i −0.0511724 + 0.0190589i
\(397\) 1052.09 607.424i 0.133005 0.0767903i −0.432021 0.901863i \(-0.642199\pi\)
0.565026 + 0.825073i \(0.308866\pi\)
\(398\) 9424.76 1.18699
\(399\) −4400.05 + 543.029i −0.552076 + 0.0681339i
\(400\) −1993.35 −0.249169
\(401\) 7615.66 4396.91i 0.948399 0.547559i 0.0558160 0.998441i \(-0.482224\pi\)
0.892583 + 0.450882i \(0.148891\pi\)
\(402\) −7621.44 638.142i −0.945579 0.0791731i
\(403\) 1542.36 2671.44i 0.190646 0.330208i
\(404\) 4304.25 + 7455.19i 0.530061 + 0.918093i
\(405\) −686.454 3579.78i −0.0842226 0.439211i
\(406\) 8168.68 1709.76i 0.998534 0.209000i
\(407\) 1004.00i 0.122276i
\(408\) 2261.35 3255.33i 0.274396 0.395007i
\(409\) 4831.45 + 2789.44i 0.584107 + 0.337234i 0.762764 0.646677i \(-0.223842\pi\)
−0.178657 + 0.983911i \(0.557175\pi\)
\(410\) −5027.65 2902.71i −0.605604 0.349646i
\(411\) 3466.86 4990.73i 0.416077 0.598965i
\(412\) 7871.00i 0.941205i
\(413\) −6803.63 7603.64i −0.810617 0.905934i
\(414\) 6997.01 8466.23i 0.830639 1.00505i
\(415\) −11.0774 19.1866i −0.00131028 0.00226948i
\(416\) −1333.82 + 2310.25i −0.157202 + 0.272282i
\(417\) −13461.5 1127.13i −1.58084 0.132364i
\(418\) 498.164 287.615i 0.0582919 0.0336548i
\(419\) 5449.56 0.635390 0.317695 0.948193i \(-0.397091\pi\)
0.317695 + 0.948193i \(0.397091\pi\)
\(420\) −2000.59 847.735i −0.232425 0.0984886i
\(421\) 2759.33 0.319433 0.159717 0.987163i \(-0.448942\pi\)
0.159717 + 0.987163i \(0.448942\pi\)
\(422\) −11901.3 + 6871.23i −1.37286 + 0.792621i
\(423\) 3670.79 + 9855.92i 0.421938 + 1.13289i
\(424\) 3664.30 6346.76i 0.419703 0.726948i
\(425\) 773.530 + 1339.79i 0.0882864 + 0.152916i
\(426\) −6651.10 + 3131.73i −0.756449 + 0.356180i
\(427\) −1803.56 8616.84i −0.204404 0.976576i
\(428\) 8105.86i 0.915447i
\(429\) 219.007 + 152.135i 0.0246474 + 0.0171216i
\(430\) −1659.82 958.295i −0.186147 0.107472i
\(431\) −3948.36 2279.59i −0.441267 0.254766i 0.262868 0.964832i \(-0.415332\pi\)
−0.704135 + 0.710066i \(0.748665\pi\)
\(432\) 10772.1 3016.03i 1.19971 0.335899i
\(433\) 7442.63i 0.826027i −0.910725 0.413014i \(-0.864476\pi\)
0.910725 0.413014i \(-0.135524\pi\)
\(434\) −4336.41 + 13206.1i −0.479618 + 1.46063i
\(435\) −1409.77 2994.04i −0.155387 0.330007i
\(436\) 1728.04 + 2993.05i 0.189812 + 0.328764i
\(437\) −2648.67 + 4587.64i −0.289939 + 0.502189i
\(438\) −238.200 + 2844.87i −0.0259855 + 0.310349i
\(439\) −5233.12 + 3021.35i −0.568937 + 0.328476i −0.756725 0.653734i \(-0.773202\pi\)
0.187788 + 0.982210i \(0.439868\pi\)
\(440\) −217.533 −0.0235693
\(441\) 6441.49 + 6653.82i 0.695550 + 0.718478i
\(442\) 3183.24 0.342560
\(443\) 3456.00 1995.32i 0.370653 0.213997i −0.303091 0.952962i \(-0.598018\pi\)
0.673744 + 0.738965i \(0.264685\pi\)
\(444\) 556.918 6651.37i 0.0595274 0.710946i
\(445\) 2528.54 4379.56i 0.269358 0.466542i
\(446\) −997.254 1727.29i −0.105877 0.183385i
\(447\) 1112.99 + 2363.74i 0.117768 + 0.250114i
\(448\) 64.5774 196.665i 0.00681026 0.0207400i
\(449\) 897.052i 0.0942862i −0.998888 0.0471431i \(-0.984988\pi\)
0.998888 0.0471431i \(-0.0150117\pi\)
\(450\) −397.106 + 2354.73i −0.0415994 + 0.246673i
\(451\) −1003.17 579.178i −0.104739 0.0604710i
\(452\) −555.349 320.631i −0.0577908 0.0333655i
\(453\) −10032.0 6968.81i −1.04049 0.722789i
\(454\) 3098.84i 0.320343i
\(455\) 275.846 + 1317.90i 0.0284216 + 0.135789i
\(456\) −2669.69 + 1257.05i −0.274166 + 0.129093i
\(457\) 1123.05 + 1945.18i 0.114954 + 0.199106i 0.917761 0.397132i \(-0.129995\pi\)
−0.802807 + 0.596239i \(0.796661\pi\)
\(458\) −9023.73 + 15629.6i −0.920636 + 1.59459i
\(459\) −6207.34 6069.90i −0.631228 0.617252i
\(460\) −2248.36 + 1298.09i −0.227892 + 0.131574i
\(461\) 6503.45 0.657041 0.328520 0.944497i \(-0.393450\pi\)
0.328520 + 0.944497i \(0.393450\pi\)
\(462\) −1106.37 468.816i −0.111413 0.0472106i
\(463\) −12869.8 −1.29181 −0.645906 0.763417i \(-0.723520\pi\)
−0.645906 + 0.763417i \(0.723520\pi\)
\(464\) 8795.57 5078.13i 0.880009 0.508073i
\(465\) 5492.53 + 459.889i 0.547764 + 0.0458641i
\(466\) 10287.2 17817.9i 1.02263 1.77124i
\(467\) 14.4148 + 24.9672i 0.00142835 + 0.00247397i 0.866739 0.498763i \(-0.166212\pi\)
−0.865310 + 0.501236i \(0.832879\pi\)
\(468\) 1366.51 + 1129.36i 0.134972 + 0.111549i
\(469\) −5138.05 5742.21i −0.505870 0.565353i
\(470\) 6890.28i 0.676224i
\(471\) −8452.06 + 12167.2i −0.826859 + 1.19031i
\(472\) −5881.25 3395.54i −0.573531 0.331128i
\(473\) −331.183 191.208i −0.0321941 0.0185873i
\(474\) −12291.8 + 17694.7i −1.19110 + 1.71465i
\(475\) 1151.73i 0.111253i
\(476\) −5065.49 + 1060.24i −0.487766 + 0.102093i
\(477\) −12373.3 10226.1i −1.18771 0.981594i
\(478\) 6698.36 + 11601.9i 0.640954 + 1.11016i
\(479\) 4994.02 8649.90i 0.476373 0.825102i −0.523260 0.852173i \(-0.675285\pi\)
0.999634 + 0.0270705i \(0.00861785\pi\)
\(480\) −4749.92 397.710i −0.451674 0.0378185i
\(481\) −3582.08 + 2068.11i −0.339561 + 0.196046i
\(482\) −9184.05 −0.867888
\(483\) 10982.3 1355.37i 1.03460 0.127684i
\(484\) −5954.05 −0.559171
\(485\) −119.195 + 68.8172i −0.0111595 + 0.00644294i
\(486\) −1416.83 13325.8i −0.132240 1.24377i
\(487\) 2079.06 3601.04i 0.193452 0.335069i −0.752940 0.658089i \(-0.771365\pi\)
0.946392 + 0.323020i \(0.104698\pi\)
\(488\) −2929.76 5074.50i −0.271771 0.470721i
\(489\) 10526.9 4956.69i 0.973504 0.458383i
\(490\) −2433.23 5557.94i −0.224331 0.512412i
\(491\) 4981.52i 0.457867i 0.973442 + 0.228934i \(0.0735238\pi\)
−0.973442 + 0.228934i \(0.926476\pi\)
\(492\) −6324.59 4393.45i −0.579542 0.402585i
\(493\) −6826.32 3941.18i −0.623615 0.360044i
\(494\) −2052.32 1184.91i −0.186920 0.107918i
\(495\) −79.2345 + 469.838i −0.00719459 + 0.0426619i
\(496\) 16915.4i 1.53130i
\(497\) −7036.90 2310.66i −0.635107 0.208546i
\(498\) −34.6986 73.6923i −0.00312225 0.00663098i
\(499\) 4098.39 + 7098.62i 0.367674 + 0.636830i 0.989201 0.146563i \(-0.0468210\pi\)
−0.621528 + 0.783392i \(0.713488\pi\)
\(500\) 282.227 488.831i 0.0252431 0.0437224i
\(501\) −1070.60 + 12786.3i −0.0954704 + 1.14022i
\(502\) −13412.0 + 7743.41i −1.19244 + 0.688457i
\(503\) 2582.86 0.228954 0.114477 0.993426i \(-0.463481\pi\)
0.114477 + 0.993426i \(0.463481\pi\)
\(504\) 5455.02 + 2870.11i 0.482115 + 0.253660i
\(505\) 9531.91 0.839929
\(506\) −1243.39 + 717.873i −0.109240 + 0.0630699i
\(507\) −860.858 + 10281.4i −0.0754084 + 0.900616i
\(508\) −5173.06 + 8960.00i −0.451806 + 0.782550i
\(509\) 10831.6 + 18760.8i 0.943224 + 1.63371i 0.759269 + 0.650777i \(0.225557\pi\)
0.183955 + 0.982935i \(0.441110\pi\)
\(510\) 2422.99 + 5145.90i 0.210376 + 0.446793i
\(511\) −2143.40 + 1917.89i −0.185555 + 0.166032i
\(512\) 6765.43i 0.583970i
\(513\) 1742.62 + 6223.99i 0.149978 + 0.535665i
\(514\) −1735.59 1002.04i −0.148937 0.0859886i
\(515\) −7547.67 4357.65i −0.645806 0.372856i
\(516\) −2087.99 1450.44i −0.178137 0.123745i
\(517\) 1374.82i 0.116952i
\(518\) 13889.5 12428.2i 1.17813 1.05417i
\(519\) −3508.08 + 1651.81i −0.296701 + 0.139704i
\(520\) 448.092 + 776.119i 0.0377888 + 0.0654520i
\(521\) −9770.62 + 16923.2i −0.821610 + 1.42307i 0.0828730 + 0.996560i \(0.473590\pi\)
−0.904483 + 0.426510i \(0.859743\pi\)
\(522\) −4246.53 11401.8i −0.356064 0.956018i
\(523\) 13158.2 7596.91i 1.10013 0.635162i 0.163877 0.986481i \(-0.447600\pi\)
0.936256 + 0.351319i \(0.114267\pi\)
\(524\) 2340.42 0.195118
\(525\) −1920.50 + 1449.07i −0.159652 + 0.120462i
\(526\) −4296.23 −0.356130
\(527\) 11369.3 6564.09i 0.939766 0.542574i
\(528\) −1457.18 122.009i −0.120105 0.0100564i
\(529\) 527.456 913.580i 0.0433513 0.0750867i
\(530\) 5258.20 + 9107.46i 0.430946 + 0.746421i
\(531\) −9476.05 + 11465.8i −0.774436 + 0.937051i
\(532\) 3660.51 + 1201.98i 0.298314 + 0.0979554i
\(533\) 4772.15i 0.387814i
\(534\) 10607.3 15269.8i 0.859596 1.23743i
\(535\) 7772.87 + 4487.67i 0.628132 + 0.362652i
\(536\) −4441.48 2564.29i −0.357915 0.206642i
\(537\) 10108.3 14551.4i 0.812301 1.16935i
\(538\) 3212.99i 0.257475i
\(539\) −485.501 1108.97i −0.0387978 0.0886214i
\(540\) −785.539 + 3068.68i −0.0626004 + 0.244546i
\(541\) 7087.52 + 12276.0i 0.563247 + 0.975572i 0.997210 + 0.0746416i \(0.0237813\pi\)
−0.433964 + 0.900930i \(0.642885\pi\)
\(542\) 7677.50 13297.8i 0.608444 1.05386i
\(543\) −15211.0 1273.62i −1.20215 0.100656i
\(544\) −9832.17 + 5676.61i −0.774910 + 0.447394i
\(545\) 3826.80 0.300775
\(546\) 606.337 + 4913.03i 0.0475253 + 0.385088i
\(547\) −3915.65 −0.306072 −0.153036 0.988221i \(-0.548905\pi\)
−0.153036 + 0.988221i \(0.548905\pi\)
\(548\) −4573.37 + 2640.43i −0.356505 + 0.205828i
\(549\) −12027.3 + 4479.50i −0.934995 + 0.348234i
\(550\) 156.078 270.334i 0.0121003 0.0209584i
\(551\) 2934.07 + 5081.96i 0.226852 + 0.392920i
\(552\) 6663.41 3137.52i 0.513792 0.241923i
\(553\) −21245.9 + 4446.92i −1.63376 + 0.341957i
\(554\) 22599.5i 1.73314i
\(555\) −6069.80 4216.46i −0.464232 0.322484i
\(556\) 10166.6 + 5869.71i 0.775470 + 0.447718i
\(557\) 9426.69 + 5442.50i 0.717094 + 0.414015i 0.813682 0.581310i \(-0.197460\pi\)
−0.0965880 + 0.995324i \(0.530793\pi\)
\(558\) 19982.0 + 3369.80i 1.51596 + 0.255654i
\(559\) 1575.47i 0.119204i
\(560\) −4923.42 5502.34i −0.371522 0.415208i
\(561\) 483.459 + 1026.76i 0.0363844 + 0.0772725i
\(562\) 5917.61 + 10249.6i 0.444162 + 0.769311i
\(563\) −1235.82 + 2140.51i −0.0925111 + 0.160234i −0.908567 0.417739i \(-0.862823\pi\)
0.816056 + 0.577973i \(0.196156\pi\)
\(564\) 762.613 9108.02i 0.0569358 0.679994i
\(565\) −614.919 + 355.024i −0.0457873 + 0.0264353i
\(566\) −3878.00 −0.287994
\(567\) 8185.94 10736.6i 0.606309 0.795229i
\(568\) −4929.70 −0.364165
\(569\) 5773.89 3333.56i 0.425403 0.245606i −0.271984 0.962302i \(-0.587680\pi\)
0.697386 + 0.716696i \(0.254346\pi\)
\(570\) 353.307 4219.61i 0.0259621 0.310070i
\(571\) 1897.30 3286.22i 0.139053 0.240848i −0.788085 0.615566i \(-0.788927\pi\)
0.927139 + 0.374719i \(0.122261\pi\)
\(572\) −115.869 200.692i −0.00846983 0.0146702i
\(573\) 236.841 + 502.999i 0.0172673 + 0.0366720i
\(574\) −4405.39 21047.5i −0.320344 1.53050i
\(575\) 2874.66i 0.208490i
\(576\) −297.570 50.1827i −0.0215256 0.00363012i
\(577\) −20022.1 11559.8i −1.44459 0.834037i −0.446443 0.894812i \(-0.647309\pi\)
−0.998151 + 0.0607751i \(0.980643\pi\)
\(578\) −3319.81 1916.70i −0.238903 0.137931i
\(579\) 9313.05 + 6469.41i 0.668458 + 0.464351i
\(580\) 2875.92i 0.205890i
\(581\) 25.6014 77.9667i 0.00182810 0.00556731i
\(582\) −457.806 + 215.562i −0.0326060 + 0.0153528i
\(583\) 1049.17 + 1817.21i 0.0745318 + 0.129093i
\(584\) −957.175 + 1657.88i −0.0678223 + 0.117472i
\(585\) 1839.51 685.117i 0.130008 0.0484207i
\(586\) 13328.3 7695.08i 0.939567 0.542459i
\(587\) −16772.1 −1.17932 −0.589659 0.807653i \(-0.700738\pi\)
−0.589659 + 0.807653i \(0.700738\pi\)
\(588\) −2601.24 7616.14i −0.182438 0.534157i
\(589\) −9773.48 −0.683717
\(590\) 8439.47 4872.53i 0.588894 0.339998i
\(591\) 1061.69 + 88.8955i 0.0738956 + 0.00618726i
\(592\) 11340.8 19642.8i 0.787335 1.36370i
\(593\) −2564.12 4441.19i −0.177565 0.307551i 0.763481 0.645830i \(-0.223489\pi\)
−0.941046 + 0.338279i \(0.890155\pi\)
\(594\) −434.421 + 1697.05i −0.0300076 + 0.117223i
\(595\) −1787.74 + 5444.39i −0.123177 + 0.375123i
\(596\) 2270.49i 0.156045i
\(597\) 7897.57 11369.0i 0.541417 0.779398i
\(598\) 5122.49 + 2957.47i 0.350291 + 0.202241i
\(599\) −18075.2 10435.7i −1.23294 0.711839i −0.265300 0.964166i \(-0.585471\pi\)
−0.967642 + 0.252327i \(0.918804\pi\)
\(600\) −913.567 + 1315.13i −0.0621604 + 0.0894830i
\(601\) 5784.11i 0.392577i 0.980546 + 0.196288i \(0.0628889\pi\)
−0.980546 + 0.196288i \(0.937111\pi\)
\(602\) −1454.38 6948.57i −0.0984655 0.470436i
\(603\) −7156.24 + 8658.90i −0.483291 + 0.584772i
\(604\) 5307.59 + 9193.01i 0.357554 + 0.619302i
\(605\) −3296.36 + 5709.46i −0.221514 + 0.383674i
\(606\) 34922.1 + 2924.03i 2.34095 + 0.196007i
\(607\) −16931.6 + 9775.46i −1.13218 + 0.653664i −0.944482 0.328563i \(-0.893436\pi\)
−0.187697 + 0.982227i \(0.560102\pi\)
\(608\) 8452.07 0.563778
\(609\) 4782.57 11286.5i 0.318226 0.750987i
\(610\) 8408.29 0.558101
\(611\) −4905.10 + 2831.96i −0.324778 + 0.187511i
\(612\) 2633.32 + 7070.36i 0.173931 + 0.466997i
\(613\) −1564.33 + 2709.50i −0.103071 + 0.178525i −0.912949 0.408075i \(-0.866200\pi\)
0.809877 + 0.586599i \(0.199534\pi\)
\(614\) 10172.5 + 17619.3i 0.668615 + 1.15808i
\(615\) −7714.47 + 3632.42i −0.505817 + 0.238168i
\(616\) −537.289 600.466i −0.0351428 0.0392751i
\(617\) 19251.3i 1.25613i 0.778163 + 0.628063i \(0.216152\pi\)
−0.778163 + 0.628063i \(0.783848\pi\)
\(618\) −26315.7 18280.5i −1.71290 1.18989i
\(619\) 22828.6 + 13180.1i 1.48232 + 0.855820i 0.999799 0.0200617i \(-0.00638628\pi\)
0.482525 + 0.875882i \(0.339720\pi\)
\(620\) −4148.17 2394.95i −0.268701 0.155134i
\(621\) −4349.48 15534.8i −0.281061 1.00385i
\(622\) 19463.7i 1.25470i
\(623\) 18334.4 3837.51i 1.17906 0.246785i
\(624\) 2566.31 + 5450.28i 0.164639 + 0.349657i
\(625\) −312.500 541.266i −0.0200000 0.0346410i
\(626\) −1274.21 + 2206.99i −0.0813538 + 0.140909i
\(627\) 70.4954 841.939i 0.00449013 0.0536265i
\(628\) 11149.7 6437.26i 0.708472 0.409036i
\(629\) −17603.3 −1.11588
\(630\) −7480.68 + 4719.83i −0.473075 + 0.298480i
\(631\) 18010.0 1.13624 0.568118 0.822947i \(-0.307672\pi\)
0.568118 + 0.822947i \(0.307672\pi\)
\(632\) −12511.8 + 7223.71i −0.787490 + 0.454658i
\(633\) −1684.16 + 20114.2i −0.105749 + 1.26298i
\(634\) 217.904 377.422i 0.0136500 0.0236425i
\(635\) 5727.95 + 9921.10i 0.357963 + 0.620011i
\(636\) 5942.61 + 12620.8i 0.370503 + 0.786867i
\(637\) −2956.55 + 4016.54i −0.183897 + 0.249829i
\(638\) 1590.45i 0.0986935i
\(639\) −1795.60 + 10647.4i −0.111162 + 0.659162i
\(640\) −6184.18 3570.44i −0.381955 0.220522i
\(641\) −14086.0 8132.54i −0.867961 0.501117i −0.00129064 0.999999i \(-0.500411\pi\)
−0.866670 + 0.498882i \(0.833744\pi\)
\(642\) 27100.9 + 18825.9i 1.66602 + 1.15732i
\(643\) 3133.59i 0.192188i −0.995372 0.0960939i \(-0.969365\pi\)
0.995372 0.0960939i \(-0.0306349\pi\)
\(644\) −9136.44 3000.07i −0.559047 0.183570i
\(645\) −2546.84 + 1199.20i −0.155475 + 0.0732069i
\(646\) −5042.84 8734.45i −0.307133 0.531970i
\(647\) −150.407 + 260.513i −0.00913928 + 0.0158297i −0.870559 0.492064i \(-0.836242\pi\)
0.861420 + 0.507894i \(0.169576\pi\)
\(648\) 2947.10 8489.24i 0.178662 0.514644i
\(649\) 1683.93 972.215i 0.101849 0.0588025i
\(650\) −1286.01 −0.0776020
\(651\) 12296.7 + 16297.2i 0.740313 + 0.981162i
\(652\) −10111.6 −0.607365
\(653\) 4968.97 2868.83i 0.297780 0.171924i −0.343665 0.939092i \(-0.611668\pi\)
0.641445 + 0.767169i \(0.278335\pi\)
\(654\) 14020.3 + 1173.92i 0.838282 + 0.0701892i
\(655\) 1295.73 2244.27i 0.0772954 0.133879i
\(656\) −13084.3 22662.8i −0.778747 1.34883i
\(657\) 3232.12 + 2671.22i 0.191928 + 0.158621i
\(658\) 19019.6 17018.4i 1.12684 1.00828i
\(659\) 12643.0i 0.747346i −0.927561 0.373673i \(-0.878098\pi\)
0.927561 0.373673i \(-0.121902\pi\)
\(660\) 236.234 340.070i 0.0139324 0.0200564i
\(661\) −13547.8 7821.85i −0.797201 0.460264i 0.0452905 0.998974i \(-0.485579\pi\)
−0.842491 + 0.538710i \(0.818912\pi\)
\(662\) 29510.7 + 17038.0i 1.73257 + 1.00030i
\(663\) 2667.43 3839.90i 0.156251 0.224931i
\(664\) 54.6196i 0.00319224i
\(665\) 3179.18 2844.68i 0.185388 0.165883i
\(666\) −20944.6 17309.9i −1.21860 1.00712i
\(667\) −7323.29 12684.3i −0.425126 0.736340i
\(668\) 5575.30 9656.71i 0.322927 0.559325i
\(669\) −2919.27 244.430i −0.168708 0.0141259i
\(670\) 6373.42 3679.70i 0.367503 0.212178i
\(671\) 1677.71 0.0965233
\(672\) −10634.1 14093.7i −0.610445 0.809044i
\(673\) −11596.1 −0.664188 −0.332094 0.943246i \(-0.607755\pi\)
−0.332094 + 0.943246i \(0.607755\pi\)
\(674\) −15250.7 + 8805.00i −0.871566 + 0.503199i
\(675\) 2507.72 + 2452.19i 0.142996 + 0.139829i
\(676\) 4483.06 7764.89i 0.255067 0.441789i
\(677\) −16444.2 28482.1i −0.933532 1.61692i −0.777231 0.629215i \(-0.783377\pi\)
−0.156300 0.987710i \(-0.549957\pi\)
\(678\) −2361.79 + 1112.07i −0.133782 + 0.0629924i
\(679\) −484.361 159.046i −0.0273756 0.00898915i
\(680\) 3814.06i 0.215092i
\(681\) 3738.09 + 2596.71i 0.210344 + 0.146117i
\(682\) −2294.03 1324.46i −0.128802 0.0743638i
\(683\) 17140.8 + 9896.23i 0.960283 + 0.554420i 0.896260 0.443529i \(-0.146274\pi\)
0.0640229 + 0.997948i \(0.479607\pi\)
\(684\) 934.048 5538.65i 0.0522138 0.309613i
\(685\) 5847.32i 0.326153i
\(686\) 9331.96 20444.2i 0.519382 1.13785i
\(687\) 11292.2 + 23982.1i 0.627109 + 1.33184i
\(688\) −4319.64 7481.83i −0.239367 0.414596i
\(689\) 4322.32 7486.48i 0.238995 0.413951i
\(690\) −881.837 + 10531.9i −0.0486536 + 0.581078i
\(691\) 19063.9 11006.5i 1.04953 0.605945i 0.127010 0.991901i \(-0.459462\pi\)
0.922517 + 0.385956i \(0.126128\pi\)
\(692\) 3369.69 0.185110
\(693\) −1492.62 + 941.748i −0.0818180 + 0.0516220i
\(694\) −24405.1 −1.33488
\(695\) 11257.2 6499.33i 0.614401 0.354725i
\(696\) 680.746 8130.27i 0.0370741 0.442783i
\(697\) −10154.9 + 17588.8i −0.551856 + 0.955843i
\(698\) −9098.70 15759.4i −0.493397 0.854588i
\(699\) −12873.3 27340.0i −0.696583 1.47939i
\(700\) 2046.42 428.329i 0.110496 0.0231276i
\(701\) 10015.2i 0.539612i −0.962915 0.269806i \(-0.913040\pi\)
0.962915 0.269806i \(-0.0869596\pi\)
\(702\) 6949.61 1945.78i 0.373641 0.104614i
\(703\) 11349.3 + 6552.54i 0.608888 + 0.351541i
\(704\) 34.1625 + 19.7237i 0.00182890 + 0.00105592i
\(705\) −8311.65 5773.78i −0.444021 0.308444i
\(706\) 20543.5i 1.09514i
\(707\) 23543.0 + 26311.4i 1.25237 + 1.39963i
\(708\) 11695.1 5506.75i 0.620804 0.292311i
\(709\) 8975.91 + 15546.7i 0.475455 + 0.823511i 0.999605 0.0281144i \(-0.00895028\pi\)
−0.524150 + 0.851626i \(0.675617\pi\)
\(710\) 3537.00 6126.27i 0.186960 0.323824i
\(711\) 11044.8 + 29654.8i 0.582577 + 1.56420i
\(712\) 10797.2 6233.78i 0.568319 0.328119i
\(713\) 24394.1 1.28130
\(714\) −8219.88 + 19398.3i −0.430842 + 1.01675i
\(715\) −256.597 −0.0134212
\(716\) −13334.5 + 7698.69i −0.695998 + 0.401835i
\(717\) 19608.2 + 1641.79i 1.02131 + 0.0855143i
\(718\) −13280.1 + 23001.8i −0.690262 + 1.19557i
\(719\) −8242.13 14275.8i −0.427510 0.740468i 0.569142 0.822240i \(-0.307276\pi\)
−0.996651 + 0.0817712i \(0.973942\pi\)
\(720\) −6857.30 + 8297.19i −0.354940 + 0.429470i
\(721\) −6613.51 31597.2i −0.341609 1.63210i
\(722\) 16756.9i 0.863752i
\(723\) −7695.87 + 11078.6i −0.395868 + 0.569872i
\(724\) 11487.9 + 6632.57i 0.589704 + 0.340466i
\(725\) 2757.78 + 1592.21i 0.141271 + 0.0815628i
\(726\) −13828.3 + 19906.6i −0.706912 + 1.01764i
\(727\) 36315.4i 1.85263i 0.376744 + 0.926317i \(0.377044\pi\)
−0.376744 + 0.926317i \(0.622956\pi\)
\(728\) −1035.60 + 3153.84i −0.0527226 + 0.160562i
\(729\) −17262.0 9457.42i −0.877002 0.480487i
\(730\) −1373.53 2379.02i −0.0696390 0.120618i
\(731\) −3352.51 + 5806.72i −0.169627 + 0.293802i
\(732\) 11114.6 + 930.625i 0.561213 + 0.0469903i
\(733\) 19183.5 11075.6i 0.966657 0.558100i 0.0684416 0.997655i \(-0.478197\pi\)
0.898215 + 0.439555i \(0.144864\pi\)
\(734\) −34714.3 −1.74568
\(735\) −8743.41 1722.16i −0.438783 0.0864258i
\(736\) −21095.9 −1.05653
\(737\) 1271.69 734.209i 0.0635593 0.0366960i
\(738\) −29377.9 + 10941.6i −1.46533 + 0.545755i
\(739\) −3079.43 + 5333.73i −0.153287 + 0.265500i −0.932434 0.361341i \(-0.882319\pi\)
0.779147 + 0.626841i \(0.215652\pi\)
\(740\) 3211.34 + 5562.20i 0.159529 + 0.276312i
\(741\) −3149.10 + 1482.78i −0.156120 + 0.0735105i
\(742\) −12152.4 + 37009.1i −0.601253 + 1.83106i
\(743\) 31402.5i 1.55053i −0.631634 0.775267i \(-0.717615\pi\)
0.631634 0.775267i \(-0.282385\pi\)
\(744\) 11160.0 + 7752.44i 0.549928 + 0.382014i
\(745\) −2177.22 1257.02i −0.107070 0.0618169i
\(746\) 14098.9 + 8140.03i 0.691956 + 0.399501i
\(747\) −117.970 19.8947i −0.00577818 0.000974443i
\(748\) 986.255i 0.0482100i
\(749\) 6810.84 + 32540.0i 0.332260 + 1.58743i
\(750\) −978.870 2078.90i −0.0476577 0.101214i
\(751\) −13149.1 22774.9i −0.638903 1.10661i −0.985674 0.168663i \(-0.946055\pi\)
0.346771 0.937950i \(-0.387278\pi\)
\(752\) 15529.4 26897.7i 0.753058 1.30433i
\(753\) −1897.93 + 22667.4i −0.0918520 + 1.09700i
\(754\) 5674.44 3276.14i 0.274073 0.158236i
\(755\) 11753.8 0.566577
\(756\) −10410.8 + 5411.02i −0.500844 + 0.260313i
\(757\) 40494.0 1.94422 0.972112 0.234517i \(-0.0753507\pi\)
0.972112 + 0.234517i \(0.0753507\pi\)
\(758\) −31635.4 + 18264.7i −1.51590 + 0.875204i
\(759\) −175.953 + 2101.44i −0.00841460 + 0.100497i
\(760\) 1419.72 2459.03i 0.0677613 0.117366i
\(761\) 6077.17 + 10526.0i 0.289484 + 0.501401i 0.973687 0.227891i \(-0.0731829\pi\)
−0.684203 + 0.729292i \(0.739850\pi\)
\(762\) 17942.1 + 38105.2i 0.852985 + 1.81155i
\(763\) 9451.88 + 10563.3i 0.448468 + 0.501202i
\(764\) 483.156i 0.0228795i
\(765\) 8237.80 + 1389.24i 0.389331 + 0.0656576i
\(766\) 9899.84 + 5715.68i 0.466966 + 0.269603i
\(767\) −6937.38 4005.30i −0.326590 0.188557i
\(768\) −21943.3 15243.2i −1.03101 0.716199i
\(769\) 4997.38i 0.234344i −0.993112 0.117172i \(-0.962617\pi\)
0.993112 0.117172i \(-0.0373828\pi\)
\(770\) 1131.71 236.876i 0.0529665 0.0110862i
\(771\) −2663.10 + 1253.94i −0.124396 + 0.0585729i
\(772\)