Properties

Label 29.3.f.a.8.4
Level 29
Weight 3
Character 29.8
Analytic conductor 0.790
Analytic rank 0
Dimension 48
CM No

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Newspace parameters

Level: \( N \) = \( 29 \)
Weight: \( k \) = \( 3 \)
Character orbit: \([\chi]\) = 29.f (of order \(28\) and degree \(12\))

Newform invariants

Self dual: No
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 8.4
Character \(\chi\) = 29.8
Dual form 29.3.f.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.65381 + 0.578694i) q^{2} +(-0.186386 + 1.65422i) q^{3} +(-0.727117 - 0.579856i) q^{4} +(-0.825315 - 1.71379i) q^{5} +(-1.26553 + 2.62791i) q^{6} +(-1.24782 - 1.56472i) q^{7} +(-4.59573 - 7.31406i) q^{8} +(6.07265 + 1.38604i) q^{9} +O(q^{10})\) \(q+(1.65381 + 0.578694i) q^{2} +(-0.186386 + 1.65422i) q^{3} +(-0.727117 - 0.579856i) q^{4} +(-0.825315 - 1.71379i) q^{5} +(-1.26553 + 2.62791i) q^{6} +(-1.24782 - 1.56472i) q^{7} +(-4.59573 - 7.31406i) q^{8} +(6.07265 + 1.38604i) q^{9} +(-0.373160 - 3.31188i) q^{10} +(-6.63034 + 10.5521i) q^{11} +(1.09473 - 1.09473i) q^{12} +(-3.80625 + 0.868753i) q^{13} +(-1.15817 - 3.30986i) q^{14} +(2.98880 - 1.04583i) q^{15} +(-2.54008 - 11.1288i) q^{16} +(7.59392 + 7.59392i) q^{17} +(9.24093 + 5.80646i) q^{18} +(-0.137534 + 0.0154964i) q^{19} +(-0.393648 + 1.72469i) q^{20} +(2.82097 - 1.77253i) q^{21} +(-17.0718 + 13.6143i) q^{22} +(26.7367 + 12.8757i) q^{23} +(12.9556 - 6.23910i) q^{24} +(13.3313 - 16.7170i) q^{25} +(-6.79757 - 0.765903i) q^{26} +(-8.37297 + 23.9286i) q^{27} +1.86129i q^{28} +(8.15475 - 27.8298i) q^{29} +5.54814 q^{30} +(-54.1874 - 18.9610i) q^{31} +(-1.62926 + 14.4601i) q^{32} +(-16.2197 - 12.9348i) q^{33} +(8.16437 + 16.9535i) q^{34} +(-1.65175 + 3.42989i) q^{35} +(-3.61182 - 4.52908i) q^{36} +(-29.9166 - 47.6121i) q^{37} +(-0.236424 - 0.0539622i) q^{38} +(-0.727676 - 6.45830i) q^{39} +(-8.74180 + 13.9125i) q^{40} +(-25.9162 + 25.9162i) q^{41} +(5.69110 - 1.29896i) q^{42} +(5.16003 + 14.7465i) q^{43} +(10.9397 - 3.82798i) q^{44} +(-2.63647 - 11.5511i) q^{45} +(36.7664 + 36.7664i) q^{46} +(55.9924 + 35.1824i) q^{47} +(18.8829 - 2.12759i) q^{48} +(10.0122 - 43.8665i) q^{49} +(31.7215 - 19.9320i) q^{50} +(-13.9774 + 11.1466i) q^{51} +(3.27134 + 1.57540i) q^{52} +(29.3541 - 14.1362i) q^{53} +(-27.6947 + 34.7280i) q^{54} +(23.5562 + 2.65415i) q^{55} +(-5.70980 + 16.3177i) q^{56} -0.230400i q^{57} +(29.5914 - 41.3062i) q^{58} +0.396318 q^{59} +(-2.77964 - 0.972637i) q^{60} +(-6.99907 + 62.1184i) q^{61} +(-78.6432 - 62.7159i) q^{62} +(-5.40882 - 11.2315i) q^{63} +(-30.8736 + 64.1097i) q^{64} +(4.63022 + 5.80611i) q^{65} +(-19.3391 - 30.7780i) q^{66} +(-21.7870 - 4.97273i) q^{67} +(-1.11828 - 9.92505i) q^{68} +(-26.2826 + 41.8285i) q^{69} +(-4.71654 + 4.71654i) q^{70} +(-64.8290 + 14.7968i) q^{71} +(-17.7706 - 50.7856i) q^{72} +(76.3640 - 26.7209i) q^{73} +(-21.9237 - 96.0540i) q^{74} +(25.1687 + 25.1687i) q^{75} +(0.108989 + 0.0684824i) q^{76} +(24.7846 - 2.79256i) q^{77} +(2.53394 - 11.1019i) q^{78} +(67.7630 - 42.5783i) q^{79} +(-16.9760 + 13.5379i) q^{80} +(12.4852 + 6.01257i) q^{81} +(-57.8580 + 27.8629i) q^{82} +(-68.4247 + 85.8019i) q^{83} +(-3.07898 - 0.346918i) q^{84} +(6.74697 - 19.2817i) q^{85} +27.3741i q^{86} +(44.5167 + 18.6768i) q^{87} +107.650 q^{88} +(-77.7390 - 27.2021i) q^{89} +(2.32434 - 20.6291i) q^{90} +(6.10889 + 4.87167i) q^{91} +(-11.9746 - 24.8656i) q^{92} +(41.4654 - 86.1038i) q^{93} +(72.2411 + 90.5875i) q^{94} +(0.140067 + 0.222915i) q^{95} +(-23.6165 - 5.39032i) q^{96} +(19.5392 + 173.415i) q^{97} +(41.9436 - 66.7529i) q^{98} +(-54.8894 + 54.8894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{28}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.65381 + 0.578694i 0.826906 + 0.289347i 0.710360 0.703838i \(-0.248532\pi\)
0.116546 + 0.993185i \(0.462818\pi\)
\(3\) −0.186386 + 1.65422i −0.0621286 + 0.551406i 0.923635 + 0.383272i \(0.125203\pi\)
−0.985764 + 0.168134i \(0.946226\pi\)
\(4\) −0.727117 0.579856i −0.181779 0.144964i
\(5\) −0.825315 1.71379i −0.165063 0.342757i 0.801988 0.597341i \(-0.203776\pi\)
−0.967051 + 0.254583i \(0.918062\pi\)
\(6\) −1.26553 + 2.62791i −0.210922 + 0.437985i
\(7\) −1.24782 1.56472i −0.178260 0.223531i 0.684671 0.728852i \(-0.259946\pi\)
−0.862932 + 0.505320i \(0.831374\pi\)
\(8\) −4.59573 7.31406i −0.574466 0.914257i
\(9\) 6.07265 + 1.38604i 0.674739 + 0.154005i
\(10\) −0.373160 3.31188i −0.0373160 0.331188i
\(11\) −6.63034 + 10.5521i −0.602758 + 0.959284i 0.396392 + 0.918081i \(0.370262\pi\)
−0.999151 + 0.0412032i \(0.986881\pi\)
\(12\) 1.09473 1.09473i 0.0912278 0.0912278i
\(13\) −3.80625 + 0.868753i −0.292789 + 0.0668271i −0.366392 0.930460i \(-0.619407\pi\)
0.0736036 + 0.997288i \(0.476550\pi\)
\(14\) −1.15817 3.30986i −0.0827265 0.236419i
\(15\) 2.98880 1.04583i 0.199254 0.0697218i
\(16\) −2.54008 11.1288i −0.158755 0.695550i
\(17\) 7.59392 + 7.59392i 0.446701 + 0.446701i 0.894256 0.447555i \(-0.147705\pi\)
−0.447555 + 0.894256i \(0.647705\pi\)
\(18\) 9.24093 + 5.80646i 0.513385 + 0.322581i
\(19\) −0.137534 + 0.0154964i −0.00723865 + 0.000815600i −0.115583 0.993298i \(-0.536874\pi\)
0.108344 + 0.994113i \(0.465445\pi\)
\(20\) −0.393648 + 1.72469i −0.0196824 + 0.0862343i
\(21\) 2.82097 1.77253i 0.134332 0.0844062i
\(22\) −17.0718 + 13.6143i −0.775991 + 0.618832i
\(23\) 26.7367 + 12.8757i 1.16247 + 0.559814i 0.912755 0.408507i \(-0.133950\pi\)
0.249710 + 0.968321i \(0.419665\pi\)
\(24\) 12.9556 6.23910i 0.539818 0.259963i
\(25\) 13.3313 16.7170i 0.533253 0.668678i
\(26\) −6.79757 0.765903i −0.261445 0.0294578i
\(27\) −8.37297 + 23.9286i −0.310110 + 0.886244i
\(28\) 1.86129i 0.0664747i
\(29\) 8.15475 27.8298i 0.281198 0.959650i
\(30\) 5.54814 0.184938
\(31\) −54.1874 18.9610i −1.74798 0.611645i −0.749264 0.662272i \(-0.769593\pi\)
−0.998718 + 0.0506263i \(0.983878\pi\)
\(32\) −1.62926 + 14.4601i −0.0509145 + 0.451879i
\(33\) −16.2197 12.9348i −0.491507 0.391964i
\(34\) 8.16437 + 16.9535i 0.240128 + 0.498632i
\(35\) −1.65175 + 3.42989i −0.0471928 + 0.0979968i
\(36\) −3.61182 4.52908i −0.100328 0.125808i
\(37\) −29.9166 47.6121i −0.808558 1.28681i −0.954706 0.297550i \(-0.903831\pi\)
0.146149 0.989263i \(-0.453312\pi\)
\(38\) −0.236424 0.0539622i −0.00622167 0.00142006i
\(39\) −0.727676 6.45830i −0.0186584 0.165597i
\(40\) −8.74180 + 13.9125i −0.218545 + 0.347812i
\(41\) −25.9162 + 25.9162i −0.632101 + 0.632101i −0.948595 0.316493i \(-0.897494\pi\)
0.316493 + 0.948595i \(0.397494\pi\)
\(42\) 5.69110 1.29896i 0.135502 0.0309276i
\(43\) 5.16003 + 14.7465i 0.120001 + 0.342943i 0.988178 0.153312i \(-0.0489940\pi\)
−0.868177 + 0.496255i \(0.834708\pi\)
\(44\) 10.9397 3.82798i 0.248631 0.0869996i
\(45\) −2.63647 11.5511i −0.0585883 0.256692i
\(46\) 36.7664 + 36.7664i 0.799270 + 0.799270i
\(47\) 55.9924 + 35.1824i 1.19133 + 0.748561i 0.973781 0.227489i \(-0.0730516\pi\)
0.217547 + 0.976050i \(0.430194\pi\)
\(48\) 18.8829 2.12759i 0.393394 0.0443249i
\(49\) 10.0122 43.8665i 0.204331 0.895234i
\(50\) 31.7215 19.9320i 0.634431 0.398639i
\(51\) −13.9774 + 11.1466i −0.274067 + 0.218561i
\(52\) 3.27134 + 1.57540i 0.0629104 + 0.0302961i
\(53\) 29.3541 14.1362i 0.553851 0.266720i −0.135955 0.990715i \(-0.543410\pi\)
0.689806 + 0.723995i \(0.257696\pi\)
\(54\) −27.6947 + 34.7280i −0.512864 + 0.643111i
\(55\) 23.5562 + 2.65415i 0.428295 + 0.0482572i
\(56\) −5.70980 + 16.3177i −0.101961 + 0.291387i
\(57\) 0.230400i 0.00404211i
\(58\) 29.5914 41.3062i 0.510196 0.712176i
\(59\) 0.396318 0.00671725 0.00335862 0.999994i \(-0.498931\pi\)
0.00335862 + 0.999994i \(0.498931\pi\)
\(60\) −2.77964 0.972637i −0.0463273 0.0162106i
\(61\) −6.99907 + 62.1184i −0.114739 + 1.01834i 0.795984 + 0.605317i \(0.206954\pi\)
−0.910723 + 0.413018i \(0.864475\pi\)
\(62\) −78.6432 62.7159i −1.26844 1.01155i
\(63\) −5.40882 11.2315i −0.0858543 0.178278i
\(64\) −30.8736 + 64.1097i −0.482400 + 1.00171i
\(65\) 4.63022 + 5.80611i 0.0712341 + 0.0893247i
\(66\) −19.3391 30.7780i −0.293017 0.466333i
\(67\) −21.7870 4.97273i −0.325179 0.0742199i 0.0568153 0.998385i \(-0.481905\pi\)
−0.381994 + 0.924165i \(0.624763\pi\)
\(68\) −1.11828 9.92505i −0.0164454 0.145957i
\(69\) −26.2826 + 41.8285i −0.380907 + 0.606211i
\(70\) −4.71654 + 4.71654i −0.0673791 + 0.0673791i
\(71\) −64.8290 + 14.7968i −0.913085 + 0.208406i −0.653157 0.757222i \(-0.726556\pi\)
−0.259928 + 0.965628i \(0.583699\pi\)
\(72\) −17.7706 50.7856i −0.246814 0.705355i
\(73\) 76.3640 26.7209i 1.04608 0.366040i 0.248108 0.968732i \(-0.420191\pi\)
0.797974 + 0.602692i \(0.205905\pi\)
\(74\) −21.9237 96.0540i −0.296266 1.29803i
\(75\) 25.1687 + 25.1687i 0.335583 + 0.335583i
\(76\) 0.108989 + 0.0684824i 0.00143407 + 0.000901084i
\(77\) 24.7846 2.79256i 0.321878 0.0362670i
\(78\) 2.53394 11.1019i 0.0324864 0.142332i
\(79\) 67.7630 42.5783i 0.857759 0.538966i −0.0298547 0.999554i \(-0.509504\pi\)
0.887614 + 0.460588i \(0.152362\pi\)
\(80\) −16.9760 + 13.5379i −0.212200 + 0.169224i
\(81\) 12.4852 + 6.01257i 0.154139 + 0.0742292i
\(82\) −57.8580 + 27.8629i −0.705585 + 0.339792i
\(83\) −68.4247 + 85.8019i −0.824394 + 1.03376i 0.174401 + 0.984675i \(0.444201\pi\)
−0.998795 + 0.0490825i \(0.984370\pi\)
\(84\) −3.07898 0.346918i −0.0366546 0.00412998i
\(85\) 6.74697 19.2817i 0.0793761 0.226844i
\(86\) 27.3741i 0.318303i
\(87\) 44.5167 + 18.6768i 0.511687 + 0.214676i
\(88\) 107.650 1.22330
\(89\) −77.7390 27.2021i −0.873472 0.305641i −0.143939 0.989587i \(-0.545977\pi\)
−0.729533 + 0.683945i \(0.760263\pi\)
\(90\) 2.32434 20.6291i 0.0258261 0.229213i
\(91\) 6.10889 + 4.87167i 0.0671306 + 0.0535349i
\(92\) −11.9746 24.8656i −0.130159 0.270278i
\(93\) 41.4654 86.1038i 0.445865 0.925848i
\(94\) 72.2411 + 90.5875i 0.768522 + 0.963697i
\(95\) 0.140067 + 0.222915i 0.00147439 + 0.00234647i
\(96\) −23.6165 5.39032i −0.246006 0.0561492i
\(97\) 19.5392 + 173.415i 0.201435 + 1.78778i 0.534794 + 0.844983i \(0.320389\pi\)
−0.333359 + 0.942800i \(0.608182\pi\)
\(98\) 41.9436 66.7529i 0.427996 0.681152i
\(99\) −54.8894 + 54.8894i −0.554439 + 0.554439i
\(100\) −19.3869 + 4.42492i −0.193869 + 0.0442492i
\(101\) −1.74084 4.97504i −0.0172360 0.0492578i 0.934944 0.354795i \(-0.115450\pi\)
−0.952180 + 0.305538i \(0.901164\pi\)
\(102\) −29.5665 + 10.3458i −0.289868 + 0.101429i
\(103\) −15.5109 67.9577i −0.150591 0.659783i −0.992714 0.120497i \(-0.961551\pi\)
0.842123 0.539286i \(-0.181306\pi\)
\(104\) 23.8466 + 23.8466i 0.229294 + 0.229294i
\(105\) −5.36593 3.37163i −0.0511040 0.0321108i
\(106\) 56.7267 6.39156i 0.535157 0.0602977i
\(107\) 18.2372 79.9024i 0.170441 0.746751i −0.815377 0.578931i \(-0.803470\pi\)
0.985818 0.167820i \(-0.0536728\pi\)
\(108\) 19.9633 12.5437i 0.184845 0.116146i
\(109\) −78.0488 + 62.2418i −0.716044 + 0.571026i −0.912298 0.409527i \(-0.865694\pi\)
0.196254 + 0.980553i \(0.437122\pi\)
\(110\) 37.4216 + 18.0213i 0.340196 + 0.163830i
\(111\) 84.3368 40.6145i 0.759791 0.365896i
\(112\) −14.2439 + 17.8613i −0.127178 + 0.159476i
\(113\) 53.9781 + 6.08187i 0.477683 + 0.0538219i 0.347524 0.937671i \(-0.387023\pi\)
0.130159 + 0.991493i \(0.458451\pi\)
\(114\) 0.133331 0.381039i 0.00116957 0.00334245i
\(115\) 56.4475i 0.490848i
\(116\) −22.0668 + 15.5070i −0.190231 + 0.133681i
\(117\) −24.3182 −0.207848
\(118\) 0.655435 + 0.229347i 0.00555453 + 0.00194362i
\(119\) 2.40649 21.3582i 0.0202226 0.179481i
\(120\) −21.3850 17.0539i −0.178208 0.142116i
\(121\) −14.8860 30.9112i −0.123025 0.255464i
\(122\) −47.5227 + 98.6819i −0.389530 + 0.808868i
\(123\) −38.0406 47.7014i −0.309273 0.387816i
\(124\) 28.4059 + 45.2078i 0.229080 + 0.364579i
\(125\) −86.0135 19.6320i −0.688108 0.157056i
\(126\) −2.44556 21.7049i −0.0194092 0.172261i
\(127\) 47.8514 76.1551i 0.376783 0.599646i −0.603472 0.797384i \(-0.706217\pi\)
0.980255 + 0.197738i \(0.0633594\pi\)
\(128\) −47.0009 + 47.0009i −0.367195 + 0.367195i
\(129\) −25.3557 + 5.78728i −0.196556 + 0.0448627i
\(130\) 4.29755 + 12.2817i 0.0330581 + 0.0944746i
\(131\) −129.814 + 45.4240i −0.990949 + 0.346748i −0.776590 0.630007i \(-0.783052\pi\)
−0.214359 + 0.976755i \(0.568766\pi\)
\(132\) 4.29331 + 18.8102i 0.0325251 + 0.142502i
\(133\) 0.195866 + 0.195866i 0.00147268 + 0.00147268i
\(134\) −33.1539 20.8320i −0.247417 0.155462i
\(135\) 47.9188 5.39915i 0.354954 0.0399937i
\(136\) 20.6428 90.4420i 0.151785 0.665015i
\(137\) 100.340 63.0480i 0.732411 0.460204i −0.113494 0.993539i \(-0.536204\pi\)
0.845904 + 0.533335i \(0.179061\pi\)
\(138\) −67.6724 + 53.9670i −0.490380 + 0.391065i
\(139\) −198.977 95.8224i −1.43149 0.689370i −0.452217 0.891908i \(-0.649367\pi\)
−0.979274 + 0.202538i \(0.935081\pi\)
\(140\) 3.18985 1.53615i 0.0227847 0.0109725i
\(141\) −68.6355 + 86.0662i −0.486777 + 0.610399i
\(142\) −115.778 13.0450i −0.815337 0.0918665i
\(143\) 16.0696 45.9242i 0.112375 0.321148i
\(144\) 71.1020i 0.493764i
\(145\) −54.4246 + 8.99291i −0.375342 + 0.0620200i
\(146\) 141.755 0.970924
\(147\) 70.6986 + 24.7385i 0.480943 + 0.168289i
\(148\) −5.85526 + 51.9669i −0.0395626 + 0.351127i
\(149\) 195.444 + 155.861i 1.31170 + 1.04605i 0.995241 + 0.0974435i \(0.0310665\pi\)
0.316462 + 0.948605i \(0.397505\pi\)
\(150\) 27.0594 + 56.1894i 0.180396 + 0.374596i
\(151\) 81.6119 169.469i 0.540476 1.12231i −0.434638 0.900605i \(-0.643124\pi\)
0.975114 0.221705i \(-0.0711622\pi\)
\(152\) 0.745412 + 0.934717i 0.00490402 + 0.00614945i
\(153\) 35.5897 + 56.6407i 0.232613 + 0.370201i
\(154\) 42.6052 + 9.72435i 0.276657 + 0.0631451i
\(155\) 12.2266 + 108.514i 0.0788815 + 0.700093i
\(156\) −3.21578 + 5.11789i −0.0206140 + 0.0328070i
\(157\) 25.4802 25.4802i 0.162294 0.162294i −0.621288 0.783582i \(-0.713390\pi\)
0.783582 + 0.621288i \(0.213390\pi\)
\(158\) 136.707 31.2025i 0.865235 0.197484i
\(159\) 17.9132 + 51.1929i 0.112661 + 0.321968i
\(160\) 26.1262 9.14195i 0.163289 0.0571372i
\(161\) −13.2158 57.9021i −0.0820856 0.359640i
\(162\) 17.1688 + 17.1688i 0.105980 + 0.105980i
\(163\) 132.376 + 83.1771i 0.812120 + 0.510289i 0.872921 0.487861i \(-0.162223\pi\)
−0.0608014 + 0.998150i \(0.519366\pi\)
\(164\) 33.8717 3.81642i 0.206535 0.0232709i
\(165\) −8.78108 + 38.4724i −0.0532187 + 0.233166i
\(166\) −162.815 + 102.303i −0.980811 + 0.616284i
\(167\) 159.364 127.089i 0.954276 0.761010i −0.0167802 0.999859i \(-0.505342\pi\)
0.971057 + 0.238849i \(0.0767701\pi\)
\(168\) −25.9288 12.4866i −0.154338 0.0743253i
\(169\) −138.531 + 66.7130i −0.819709 + 0.394751i
\(170\) 22.3164 27.9839i 0.131273 0.164611i
\(171\) −0.856676 0.0965242i −0.00500980 0.000564469i
\(172\) 4.79892 13.7145i 0.0279007 0.0797356i
\(173\) 108.217i 0.625531i 0.949830 + 0.312765i \(0.101255\pi\)
−0.949830 + 0.312765i \(0.898745\pi\)
\(174\) 62.8142 + 56.6495i 0.361001 + 0.325572i
\(175\) −42.7925 −0.244529
\(176\) 134.274 + 46.9845i 0.762921 + 0.266958i
\(177\) −0.0738680 + 0.655596i −0.000417333 + 0.00370393i
\(178\) −112.824 89.9742i −0.633843 0.505473i
\(179\) −50.0799 103.992i −0.279776 0.580961i 0.712970 0.701195i \(-0.247350\pi\)
−0.992746 + 0.120234i \(0.961635\pi\)
\(180\) −4.78098 + 9.92780i −0.0265610 + 0.0551544i
\(181\) −59.6313 74.7753i −0.329455 0.413123i 0.589324 0.807897i \(-0.299394\pi\)
−0.918778 + 0.394774i \(0.870823\pi\)
\(182\) 7.28374 + 11.5920i 0.0400206 + 0.0636924i
\(183\) −101.453 23.1560i −0.554388 0.126535i
\(184\) −28.7009 254.727i −0.155983 1.38439i
\(185\) −56.9062 + 90.5657i −0.307601 + 0.489544i
\(186\) 118.404 118.404i 0.636580 0.636580i
\(187\) −130.482 + 29.7817i −0.697766 + 0.159261i
\(188\) −20.3123 58.0492i −0.108044 0.308772i
\(189\) 47.8895 16.7573i 0.253384 0.0886628i
\(190\) 0.102645 + 0.449715i 0.000540234 + 0.00236692i
\(191\) −42.1854 42.1854i −0.220866 0.220866i 0.587997 0.808863i \(-0.299917\pi\)
−0.808863 + 0.587997i \(0.799917\pi\)
\(192\) −100.297 63.0209i −0.522381 0.328234i
\(193\) −304.307 + 34.2872i −1.57672 + 0.177654i −0.856521 0.516112i \(-0.827379\pi\)
−0.720201 + 0.693766i \(0.755950\pi\)
\(194\) −68.0401 + 298.103i −0.350722 + 1.53661i
\(195\) −10.4676 + 6.57722i −0.0536799 + 0.0337293i
\(196\) −32.7163 + 26.0904i −0.166920 + 0.133114i
\(197\) 66.4296 + 31.9908i 0.337206 + 0.162390i 0.594822 0.803858i \(-0.297223\pi\)
−0.257616 + 0.966247i \(0.582937\pi\)
\(198\) −122.541 + 59.0127i −0.618894 + 0.298044i
\(199\) 156.727 196.529i 0.787571 0.987583i −0.212375 0.977188i \(-0.568120\pi\)
0.999946 0.0103945i \(-0.00330874\pi\)
\(200\) −183.536 20.6795i −0.917680 0.103398i
\(201\) 12.2868 35.1136i 0.0611282 0.174694i
\(202\) 9.23519i 0.0457188i
\(203\) −53.7216 + 21.9668i −0.264638 + 0.108211i
\(204\) 16.6266 0.0815031
\(205\) 65.8037 + 23.0257i 0.320994 + 0.112321i
\(206\) 13.6746 121.365i 0.0663815 0.589152i
\(207\) 144.516 + 115.248i 0.698147 + 0.556753i
\(208\) 19.3364 + 40.1524i 0.0929632 + 0.193040i
\(209\) 0.748379 1.55403i 0.00358076 0.00743553i
\(210\) −6.92309 8.68128i −0.0329671 0.0413394i
\(211\) 98.3713 + 156.557i 0.466215 + 0.741976i 0.994231 0.107258i \(-0.0342070\pi\)
−0.528017 + 0.849234i \(0.677064\pi\)
\(212\) −29.5408 6.74249i −0.139343 0.0318042i
\(213\) −12.3940 109.999i −0.0581876 0.516429i
\(214\) 76.3999 121.590i 0.357009 0.568177i
\(215\) 21.0137 21.0137i 0.0977383 0.0977383i
\(216\) 213.495 48.7288i 0.988402 0.225596i
\(217\) 37.9476 + 108.448i 0.174874 + 0.499761i
\(218\) −165.097 + 57.7700i −0.757326 + 0.265000i
\(219\) 29.9691 + 131.303i 0.136845 + 0.599558i
\(220\) −15.5891 15.5891i −0.0708595 0.0708595i
\(221\) −35.5016 22.3072i −0.160641 0.100937i
\(222\) 162.981 18.3635i 0.734147 0.0827185i
\(223\) −15.1512 + 66.3816i −0.0679425 + 0.297676i −0.997471 0.0710748i \(-0.977357\pi\)
0.929528 + 0.368750i \(0.120214\pi\)
\(224\) 24.6591 15.4943i 0.110085 0.0691711i
\(225\) 104.127 83.0384i 0.462786 0.369060i
\(226\) 85.7502 + 41.2951i 0.379426 + 0.182722i
\(227\) 95.4082 45.9461i 0.420300 0.202406i −0.211766 0.977320i \(-0.567921\pi\)
0.632066 + 0.774915i \(0.282207\pi\)
\(228\) −0.133599 + 0.167528i −0.000585960 + 0.000734771i
\(229\) 316.964 + 35.7133i 1.38412 + 0.155953i 0.772408 0.635126i \(-0.219052\pi\)
0.611714 + 0.791079i \(0.290480\pi\)
\(230\) 32.6658 93.3536i 0.142025 0.405885i
\(231\) 41.5197i 0.179739i
\(232\) −241.026 + 68.2540i −1.03891 + 0.294198i
\(233\) −279.358 −1.19896 −0.599481 0.800389i \(-0.704626\pi\)
−0.599481 + 0.800389i \(0.704626\pi\)
\(234\) −40.2177 14.0728i −0.171871 0.0601401i
\(235\) 14.0836 124.995i 0.0599302 0.531896i
\(236\) −0.288169 0.229807i −0.00122106 0.000973759i
\(237\) 57.8038 + 120.031i 0.243898 + 0.506459i
\(238\) 16.3398 33.9299i 0.0686545 0.142563i
\(239\) −0.0841531 0.105525i −0.000352105 0.000441525i 0.781655 0.623711i \(-0.214376\pi\)
−0.782008 + 0.623269i \(0.785804\pi\)
\(240\) −19.2306 30.6053i −0.0801275 0.127522i
\(241\) 457.706 + 104.468i 1.89919 + 0.433479i 0.999992 0.00405456i \(-0.00129061\pi\)
0.899202 + 0.437533i \(0.144148\pi\)
\(242\) −6.73061 59.7358i −0.0278124 0.246842i
\(243\) −133.662 + 212.722i −0.550050 + 0.875399i
\(244\) 41.1089 41.1089i 0.168479 0.168479i
\(245\) −83.4410 + 19.0449i −0.340575 + 0.0777341i
\(246\) −35.3075 100.903i −0.143526 0.410175i
\(247\) 0.510028 0.178467i 0.00206489 0.000722536i
\(248\) 110.349 + 483.470i 0.444955 + 1.94947i
\(249\) −129.182 129.182i −0.518802 0.518802i
\(250\) −130.889 82.2432i −0.523557 0.328973i
\(251\) −275.015 + 30.9867i −1.09568 + 0.123453i −0.641251 0.767331i \(-0.721584\pi\)
−0.454426 + 0.890785i \(0.650156\pi\)
\(252\) −2.57983 + 11.3030i −0.0102374 + 0.0448531i
\(253\) −313.140 + 196.759i −1.23771 + 0.777703i
\(254\) 123.208 98.2549i 0.485070 0.386830i
\(255\) 30.6387 + 14.7548i 0.120152 + 0.0578620i
\(256\) 151.509 72.9629i 0.591832 0.285011i
\(257\) 256.872 322.107i 0.999501 1.25333i 0.0322581 0.999480i \(-0.489730\pi\)
0.967242 0.253854i \(-0.0816984\pi\)
\(258\) −45.2827 5.10214i −0.175514 0.0197757i
\(259\) −37.1689 + 106.223i −0.143509 + 0.410126i
\(260\) 6.90658i 0.0265638i
\(261\) 88.0943 157.698i 0.337526 0.604207i
\(262\) −240.975 −0.919752
\(263\) 80.4619 + 28.1548i 0.305939 + 0.107053i 0.478882 0.877879i \(-0.341042\pi\)
−0.172943 + 0.984932i \(0.555328\pi\)
\(264\) −20.0644 + 178.077i −0.0760017 + 0.674534i
\(265\) −48.4528 38.6398i −0.182841 0.145811i
\(266\) 0.210579 + 0.437272i 0.000791651 + 0.00164388i
\(267\) 59.4876 123.527i 0.222800 0.462649i
\(268\) 12.9582 + 16.2491i 0.0483515 + 0.0606309i
\(269\) −190.483 303.152i −0.708116 1.12696i −0.986064 0.166364i \(-0.946797\pi\)
0.277949 0.960596i \(-0.410345\pi\)
\(270\) 82.3732 + 18.8011i 0.305086 + 0.0696338i
\(271\) 6.38164 + 56.6386i 0.0235485 + 0.208999i 0.999977 0.00684439i \(-0.00217865\pi\)
−0.976428 + 0.215843i \(0.930750\pi\)
\(272\) 65.2221 103.800i 0.239787 0.381619i
\(273\) −9.19743 + 9.19743i −0.0336902 + 0.0336902i
\(274\) 202.429 46.2032i 0.738794 0.168625i
\(275\) 88.0082 + 251.513i 0.320030 + 0.914593i
\(276\) 43.3650 15.1741i 0.157120 0.0549786i
\(277\) 49.3432 + 216.187i 0.178134 + 0.780458i 0.982491 + 0.186311i \(0.0596531\pi\)
−0.804357 + 0.594147i \(0.797490\pi\)
\(278\) −273.619 273.619i −0.984242 0.984242i
\(279\) −302.781 190.250i −1.08523 0.681898i
\(280\) 32.6774 3.68186i 0.116705 0.0131495i
\(281\) −13.4153 + 58.7763i −0.0477413 + 0.209168i −0.993173 0.116653i \(-0.962784\pi\)
0.945431 + 0.325821i \(0.105641\pi\)
\(282\) −163.316 + 102.618i −0.579136 + 0.363895i
\(283\) 86.1969 68.7397i 0.304583 0.242897i −0.459256 0.888304i \(-0.651884\pi\)
0.763838 + 0.645408i \(0.223312\pi\)
\(284\) 55.7183 + 26.8325i 0.196191 + 0.0944807i
\(285\) −0.394856 + 0.190153i −0.00138546 + 0.000667203i
\(286\) 53.1521 66.6507i 0.185847 0.233044i
\(287\) 72.8903 + 8.21276i 0.253973 + 0.0286159i
\(288\) −29.9363 + 85.5530i −0.103945 + 0.297059i
\(289\) 173.665i 0.600916i
\(290\) −95.2123 16.6226i −0.328318 0.0573194i
\(291\) −290.508 −0.998310
\(292\) −71.0198 24.8509i −0.243218 0.0851058i
\(293\) 27.3886 243.081i 0.0934766 0.829628i −0.856253 0.516557i \(-0.827214\pi\)
0.949730 0.313071i \(-0.101358\pi\)
\(294\) 102.606 + 81.8258i 0.349001 + 0.278319i
\(295\) −0.327087 0.679203i −0.00110877 0.00230238i
\(296\) −210.749 + 437.624i −0.711989 + 1.47846i
\(297\) −196.982 247.007i −0.663238 0.831675i
\(298\) 233.031 + 370.867i 0.781985 + 1.24452i
\(299\) −112.953 25.7807i −0.377768 0.0862230i
\(300\) −3.70636 32.8949i −0.0123545 0.109650i
\(301\) 16.6354 26.4751i 0.0552671 0.0879570i
\(302\) 233.041 233.041i 0.771660 0.771660i
\(303\) 8.55427 1.95246i 0.0282319 0.00644375i
\(304\) 0.521804 + 1.49123i 0.00171646 + 0.00490536i
\(305\) 112.234 39.2724i 0.367981 0.128762i
\(306\) 26.0811 + 114.269i 0.0852323 + 0.373427i
\(307\) −94.4266 94.4266i −0.307579 0.307579i 0.536391 0.843970i \(-0.319787\pi\)
−0.843970 + 0.536391i \(0.819787\pi\)
\(308\) −19.6406 12.3410i −0.0637681 0.0400682i
\(309\) 115.308 12.9921i 0.373165 0.0420456i
\(310\) −42.5761 + 186.538i −0.137342 + 0.601736i
\(311\) −147.871 + 92.9137i −0.475471 + 0.298758i −0.748366 0.663286i \(-0.769161\pi\)
0.272896 + 0.962044i \(0.412019\pi\)
\(312\) −43.8922 + 35.0029i −0.140680 + 0.112189i
\(313\) −1.30805 0.629925i −0.00417908 0.00201254i 0.431793 0.901973i \(-0.357881\pi\)
−0.435972 + 0.899960i \(0.643595\pi\)
\(314\) 56.8847 27.3942i 0.181161 0.0872428i
\(315\) −14.7845 + 18.5391i −0.0469348 + 0.0588543i
\(316\) −73.9609 8.33339i −0.234053 0.0263715i
\(317\) −28.4216 + 81.2242i −0.0896579 + 0.256228i −0.979977 0.199109i \(-0.936195\pi\)
0.890319 + 0.455336i \(0.150481\pi\)
\(318\) 95.0297i 0.298835i
\(319\) 239.595 + 270.571i 0.751082 + 0.848186i
\(320\) 135.351 0.422971
\(321\) 128.777 + 45.0610i 0.401174 + 0.140377i
\(322\) 11.6512 103.407i 0.0361838 0.321140i
\(323\) −1.16210 0.926746i −0.00359784 0.00286918i
\(324\) −5.59179 11.6115i −0.0172586 0.0358379i
\(325\) −36.2195 + 75.2106i −0.111445 + 0.231417i
\(326\) 170.790 + 214.164i 0.523897 + 0.656945i
\(327\) −88.4145 140.711i −0.270381 0.430308i
\(328\) 308.656 + 70.4487i 0.941024 + 0.214783i
\(329\) −14.8180 131.514i −0.0450396 0.399738i
\(330\) −36.7860 + 58.5446i −0.111473 + 0.177408i
\(331\) 266.303 266.303i 0.804542 0.804542i −0.179260 0.983802i \(-0.557370\pi\)
0.983802 + 0.179260i \(0.0573702\pi\)
\(332\) 99.5055 22.7115i 0.299715 0.0684080i
\(333\) −115.681 330.597i −0.347390 0.992784i
\(334\) 337.104 117.958i 1.00929 0.353167i
\(335\) 9.45893 + 41.4423i 0.0282356 + 0.123708i
\(336\) −26.8916 26.8916i −0.0800346 0.0800346i
\(337\) 298.132 + 187.329i 0.884665 + 0.555872i 0.895995 0.444064i \(-0.146464\pi\)
−0.0113300 + 0.999936i \(0.503607\pi\)
\(338\) −267.711 + 30.1637i −0.792043 + 0.0892418i
\(339\) −20.1215 + 88.1581i −0.0593555 + 0.260053i
\(340\) −16.0865 + 10.1078i −0.0473131 + 0.0297288i
\(341\) 559.360 446.075i 1.64035 1.30814i
\(342\) −1.36092 0.655386i −0.00397931 0.00191633i
\(343\) −169.487 + 81.6206i −0.494131 + 0.237961i
\(344\) 84.1429 105.512i 0.244601 0.306720i
\(345\) 93.3766 + 10.5210i 0.270657 + 0.0304957i
\(346\) −62.6244 + 178.970i −0.180995 + 0.517255i
\(347\) 641.193i 1.84782i 0.382610 + 0.923910i \(0.375025\pi\)
−0.382610 + 0.923910i \(0.624975\pi\)
\(348\) −21.5390 39.3935i −0.0618936 0.113200i
\(349\) −467.597 −1.33982 −0.669910 0.742443i \(-0.733667\pi\)
−0.669910 + 0.742443i \(0.733667\pi\)
\(350\) −70.7708 24.7638i −0.202202 0.0707536i
\(351\) 11.0816 98.3523i 0.0315716 0.280206i
\(352\) −141.782 113.068i −0.402791 0.321215i
\(353\) 89.7057 + 186.276i 0.254124 + 0.527694i 0.988531 0.151015i \(-0.0482542\pi\)
−0.734408 + 0.678709i \(0.762540\pi\)
\(354\) −0.501553 + 1.04149i −0.00141682 + 0.00294205i
\(355\) 78.8630 + 98.8910i 0.222149 + 0.278566i
\(356\) 40.7521 + 64.8565i 0.114472 + 0.182181i
\(357\) 34.8827 + 7.96174i 0.0977105 + 0.0223018i
\(358\) −22.6432 200.964i −0.0632492 0.561353i
\(359\) −93.0423 + 148.076i −0.259171 + 0.412468i −0.950810 0.309775i \(-0.899746\pi\)
0.691639 + 0.722243i \(0.256889\pi\)
\(360\) −72.3692 + 72.3692i −0.201026 + 0.201026i
\(361\) −351.930 + 80.3258i −0.974876 + 0.222509i
\(362\) −55.3470 158.173i −0.152892 0.436941i
\(363\) 53.9084 18.8634i 0.148508 0.0519652i
\(364\) −1.61700 7.08455i −0.00444231 0.0194630i
\(365\) −108.818 108.818i −0.298132 0.298132i
\(366\) −154.384 97.0059i −0.421814 0.265043i
\(367\) −272.112 + 30.6597i −0.741450 + 0.0835413i −0.474606 0.880198i \(-0.657409\pi\)
−0.266844 + 0.963740i \(0.585981\pi\)
\(368\) 75.3781 330.253i 0.204832 0.897426i
\(369\) −193.301 + 121.459i −0.523850 + 0.329157i
\(370\) −146.522 + 116.847i −0.396005 + 0.315804i
\(371\) −58.7479 28.2915i −0.158350 0.0762574i
\(372\) −80.0780 + 38.5635i −0.215264 + 0.103665i
\(373\) 30.4398 38.1703i 0.0816080 0.102333i −0.739351 0.673320i \(-0.764868\pi\)
0.820959 + 0.570987i \(0.193439\pi\)
\(374\) −233.028 26.2559i −0.623069 0.0702030i
\(375\) 48.5074 138.626i 0.129353 0.369670i
\(376\) 571.220i 1.51920i
\(377\) −6.86181 + 113.012i −0.0182011 + 0.299766i
\(378\) 88.8976 0.235179
\(379\) 156.410 + 54.7303i 0.412692 + 0.144407i 0.528636 0.848849i \(-0.322704\pi\)
−0.115944 + 0.993256i \(0.536989\pi\)
\(380\) 0.0274137 0.243304i 7.21414e−5 0.000640273i
\(381\) 117.058 + 93.3510i 0.307240 + 0.245016i
\(382\) −45.3543 94.1793i −0.118729 0.246543i
\(383\) 70.7762 146.968i 0.184794 0.383729i −0.787906 0.615796i \(-0.788835\pi\)
0.972700 + 0.232067i \(0.0745488\pi\)
\(384\) −68.9895 86.5101i −0.179660 0.225287i
\(385\) −25.2410 40.1708i −0.0655610 0.104340i
\(386\) −523.109 119.396i −1.35521 0.309317i
\(387\) 10.8958 + 96.7025i 0.0281544 + 0.249877i
\(388\) 86.3484 137.423i 0.222548 0.354182i
\(389\) −309.216 + 309.216i −0.794899 + 0.794899i −0.982286 0.187387i \(-0.939998\pi\)
0.187387 + 0.982286i \(0.439998\pi\)
\(390\) −21.1176 + 4.81996i −0.0541477 + 0.0123589i
\(391\) 105.259 + 300.814i 0.269205 + 0.769345i
\(392\) −366.855 + 128.368i −0.935856 + 0.327470i
\(393\) −50.9457 223.208i −0.129633 0.567958i
\(394\) 91.3492 + 91.3492i 0.231851 + 0.231851i
\(395\) −128.896 80.9907i −0.326319 0.205040i
\(396\) 71.7390 8.08304i 0.181159 0.0204117i
\(397\) −22.7855 + 99.8297i −0.0573942 + 0.251460i −0.995484 0.0949326i \(-0.969736\pi\)
0.938090 + 0.346393i \(0.112594\pi\)
\(398\) 372.927 234.325i 0.937002 0.588757i
\(399\) −0.360512 + 0.287499i −0.000903539 + 0.000720548i
\(400\) −219.902 105.899i −0.549756 0.264748i
\(401\) 122.533 59.0090i 0.305569 0.147155i −0.274815 0.961497i \(-0.588617\pi\)
0.580384 + 0.814343i \(0.302902\pi\)
\(402\) 40.6401 50.9610i 0.101095 0.126769i
\(403\) 222.724 + 25.0949i 0.552664 + 0.0622703i
\(404\) −1.61901 + 4.62687i −0.00400745 + 0.0114526i
\(405\) 26.3593i 0.0650846i
\(406\) −101.558 + 5.24061i −0.250142 + 0.0129079i
\(407\) 700.766 1.72178
\(408\) 145.763 + 51.0048i 0.357263 + 0.125012i
\(409\) −38.6381 + 342.922i −0.0944696 + 0.838441i 0.853719 + 0.520734i \(0.174342\pi\)
−0.948189 + 0.317708i \(0.897087\pi\)
\(410\) 95.5022 + 76.1604i 0.232932 + 0.185757i
\(411\) 85.5932 + 177.736i 0.208256 + 0.432448i
\(412\) −28.1274 + 58.4072i −0.0682705 + 0.141765i
\(413\) −0.494534 0.620126i −0.00119742 0.00150152i
\(414\) 172.310 + 274.229i 0.416207 + 0.662390i
\(415\) 203.518 + 46.4516i 0.490405 + 0.111932i
\(416\) −6.36087 56.4543i −0.0152906 0.135707i
\(417\) 195.598 311.292i 0.469059 0.746504i
\(418\) 2.13698 2.13698i 0.00511240 0.00511240i
\(419\) 200.129 45.6781i 0.477635 0.109017i 0.0230758 0.999734i \(-0.492654\pi\)
0.454559 + 0.890717i \(0.349797\pi\)
\(420\) 1.94659 + 5.56304i 0.00463474 + 0.0132453i
\(421\) −30.0377 + 10.5107i −0.0713485 + 0.0249659i −0.365717 0.930726i \(-0.619176\pi\)
0.294369 + 0.955692i \(0.404891\pi\)
\(422\) 72.0891 + 315.843i 0.170827 + 0.748443i
\(423\) 291.258 + 291.258i 0.688553 + 0.688553i
\(424\) −238.296 149.731i −0.562019 0.353140i
\(425\) 228.184 25.7102i 0.536904 0.0604946i
\(426\) 43.1587 189.091i 0.101312 0.443875i
\(427\) 105.932 66.5612i 0.248083 0.155881i
\(428\) −59.5924 + 47.5234i −0.139235 + 0.111036i
\(429\) 72.9736 + 35.1422i 0.170102 + 0.0819166i
\(430\) 46.9133 22.5922i 0.109101 0.0525401i
\(431\) −404.927 + 507.763i −0.939507 + 1.17810i 0.0443267 + 0.999017i \(0.485886\pi\)
−0.983833 + 0.179087i \(0.942686\pi\)
\(432\) 287.564 + 32.4007i 0.665659 + 0.0750017i
\(433\) 98.3588 281.093i 0.227156 0.649176i −0.772739 0.634724i \(-0.781114\pi\)
0.999896 0.0144521i \(-0.00460042\pi\)
\(434\) 201.313i 0.463855i
\(435\) −4.73227 91.7064i −0.0108788 0.210819i
\(436\) 92.8419 0.212940
\(437\) −3.87674 1.35653i −0.00887126 0.00310419i
\(438\) −26.4211 + 234.494i −0.0603221 + 0.535374i
\(439\) −104.158 83.0632i −0.237262 0.189210i 0.497640 0.867384i \(-0.334200\pi\)
−0.734902 + 0.678174i \(0.762772\pi\)
\(440\) −88.8453 184.489i −0.201921 0.419294i
\(441\) 121.602 252.508i 0.275741 0.572581i
\(442\) −45.8040 57.4364i −0.103629 0.129947i
\(443\) −174.139 277.141i −0.393091 0.625601i 0.590282 0.807197i \(-0.299017\pi\)
−0.983373 + 0.181596i \(0.941874\pi\)
\(444\) −84.8732 19.3718i −0.191156 0.0436301i
\(445\) 17.5407 + 155.678i 0.0394174 + 0.349839i
\(446\) −63.4719 + 101.015i −0.142314 + 0.226491i
\(447\) −294.257 + 294.257i −0.658292 + 0.658292i
\(448\) 138.839 31.6890i 0.309908 0.0707344i
\(449\) 73.6423 + 210.458i 0.164014 + 0.468725i 0.996332 0.0855735i \(-0.0272722\pi\)
−0.832318 + 0.554299i \(0.812987\pi\)
\(450\) 220.260 77.0724i 0.489467 0.171272i
\(451\) −101.638 445.303i −0.225361 0.987369i
\(452\) −35.7218 35.7218i −0.0790305 0.0790305i
\(453\) 265.127 + 166.591i 0.585270 + 0.367750i
\(454\) 184.376 20.7742i 0.406114 0.0457581i
\(455\) 3.30724 14.4900i 0.00726867 0.0318461i
\(456\) −1.68516 + 1.05886i −0.00369553 + 0.00232205i
\(457\) −606.218 + 483.443i −1.32652 + 1.05786i −0.333150 + 0.942874i \(0.608112\pi\)
−0.993367 + 0.114988i \(0.963317\pi\)
\(458\) 503.532 + 242.488i 1.09941 + 0.529450i
\(459\) −245.296 + 118.128i −0.534413 + 0.257360i
\(460\) −32.7314 + 41.0439i −0.0711553 + 0.0892259i
\(461\) −485.426 54.6943i −1.05298 0.118643i −0.431534 0.902097i \(-0.642027\pi\)
−0.621450 + 0.783454i \(0.713456\pi\)
\(462\) −24.0272 + 68.6658i −0.0520069 + 0.148627i
\(463\) 770.815i 1.66483i −0.554155 0.832414i \(-0.686958\pi\)
0.554155 0.832414i \(-0.313042\pi\)
\(464\) −330.426 20.0627i −0.712126 0.0432386i
\(465\) −181.786 −0.390937
\(466\) −462.006 161.663i −0.991429 0.346916i
\(467\) 93.5969 830.696i 0.200422 1.77879i −0.343003 0.939334i \(-0.611444\pi\)
0.543425 0.839458i \(-0.317127\pi\)
\(468\) 17.6821 + 14.1010i 0.0377824 + 0.0301304i
\(469\) 19.4053 + 40.2956i 0.0413760 + 0.0859182i
\(470\) 95.6258 198.569i 0.203459 0.422487i
\(471\) 37.4007 + 46.8990i 0.0794070 + 0.0995732i
\(472\) −1.82137 2.89869i −0.00385883 0.00614129i
\(473\) −189.820 43.3252i −0.401311 0.0915966i
\(474\) 26.1355 + 231.959i 0.0551382 + 0.489365i
\(475\) −1.57446 + 2.50574i −0.00331466 + 0.00527525i
\(476\) −14.1345 + 14.1345i −0.0296943 + 0.0296943i
\(477\) 197.850 45.1581i 0.414781 0.0946710i
\(478\) −0.0781069 0.223217i −0.000163404 0.000466981i
\(479\) −701.949 + 245.623i −1.46545 + 0.512782i −0.940925 0.338615i \(-0.890042\pi\)
−0.524522 + 0.851397i \(0.675756\pi\)
\(480\) 10.2532 + 44.9224i 0.0213609 + 0.0935883i
\(481\) 155.233 + 155.233i 0.322731 + 0.322731i
\(482\) 696.504 + 437.643i 1.44503 + 0.907972i
\(483\) 98.2460 11.0697i 0.203408 0.0229186i
\(484\) −7.10015 + 31.1078i −0.0146697 + 0.0642723i
\(485\) 281.070 176.608i 0.579526 0.364140i
\(486\) −344.153 + 274.453i −0.708134 + 0.564718i
\(487\) −808.881 389.537i −1.66095 0.799870i −0.998721 0.0505653i \(-0.983898\pi\)
−0.662226 0.749304i \(-0.730388\pi\)
\(488\) 486.504 234.288i 0.996934 0.480098i
\(489\) −162.266 + 203.475i −0.331832 + 0.416105i
\(490\) −149.017 16.7902i −0.304116 0.0342657i
\(491\) 144.911 414.132i 0.295135 0.843446i −0.696865 0.717203i \(-0.745422\pi\)
0.991999 0.126244i \(-0.0402921\pi\)
\(492\) 56.7425i 0.115330i
\(493\) 273.264 149.411i 0.554288 0.303065i
\(494\) 0.946768 0.00191653
\(495\) 139.370 + 48.7676i 0.281555 + 0.0985204i
\(496\) −73.3730 + 651.204i −0.147929 + 1.31291i
\(497\) 104.048 + 82.9755i 0.209352 + 0.166953i
\(498\) −138.886 288.399i −0.278887 0.579114i
\(499\) 275.489 572.059i 0.552082 1.14641i −0.419071 0.907954i \(-0.637644\pi\)
0.971153 0.238457i \(-0.0766416\pi\)
\(500\) 51.1581 + 64.1502i 0.102316 + 0.128300i
\(501\) 180.529 + 287.311i 0.360338 + 0.573475i
\(502\) −472.755 107.903i −0.941743 0.214947i
\(503\) 87.3784 + 775.505i 0.173714 + 1.54176i 0.713921 + 0.700226i \(0.246917\pi\)
−0.540207 + 0.841532i \(0.681654\pi\)
\(504\) −57.2906 + 91.1775i −0.113672 + 0.180908i
\(505\) −7.08940 + 7.08940i −0.0140384 + 0.0140384i
\(506\) −631.738 + 144.190i −1.24849 + 0.284960i
\(507\) −84.5377 241.595i −0.166741 0.476518i
\(508\) −78.9526 + 27.6267i −0.155418 + 0.0543833i
\(509\) −219.690 962.525i −0.431611 1.89101i −0.453511 0.891251i \(-0.649829\pi\)
0.0218997 0.999760i \(-0.493029\pi\)
\(510\) 42.1321 + 42.1321i 0.0826120 + 0.0826120i
\(511\) −137.099 86.1453i −0.268296 0.168582i
\(512\) 556.996 62.7584i 1.08788 0.122575i
\(513\) 0.780764 3.42075i 0.00152196 0.00666813i
\(514\) 611.219 384.054i 1.18914 0.747187i
\(515\) −103.663 + 82.6688i −0.201288 + 0.160522i
\(516\) 21.7924 + 10.4947i 0.0422333 + 0.0203385i
\(517\) −742.497 + 357.568i −1.43617 + 0.691621i
\(518\) −122.941 + 154.163i −0.237337 + 0.297612i
\(519\) −179.014 20.1701i −0.344922 0.0388633i
\(520\) 21.1870 60.5490i 0.0407442 0.116440i
\(521\) 535.964i 1.02872i 0.857574 + 0.514361i \(0.171971\pi\)
−0.857574 + 0.514361i \(0.828029\pi\)
\(522\) 236.950 209.823i 0.453928 0.401960i
\(523\) 915.345 1.75018 0.875091 0.483959i \(-0.160801\pi\)
0.875091 + 0.483959i \(0.160801\pi\)
\(524\) 120.729 + 42.2451i 0.230400 + 0.0806204i
\(525\) 7.97591 70.7882i 0.0151922 0.134835i
\(526\) 116.776 + 93.1257i 0.222007 + 0.177045i
\(527\) −267.507 555.483i −0.507603 1.05405i
\(528\) −102.750 + 213.362i −0.194601 + 0.404094i
\(529\) 219.241 + 274.920i 0.414445 + 0.519697i
\(530\) −57.7712 91.9423i −0.109002 0.173476i
\(531\) 2.40670 + 0.549313i 0.00453239 + 0.00103449i
\(532\) −0.0288433 0.255991i −5.42167e−5 0.000481187i
\(533\) 76.1287 121.158i 0.142831 0.227314i
\(534\) 169.866 169.866i 0.318101 0.318101i
\(535\) −151.987 + 34.6900i −0.284088 + 0.0648412i
\(536\) 63.7561 + 182.205i 0.118948 + 0.339934i
\(537\) 181.360 63.4605i 0.337728 0.118176i
\(538\) −139.591 611.588i −0.259463 1.13678i
\(539\) 396.500 + 396.500i 0.735622 + 0.735622i
\(540\) −37.9733 23.8602i −0.0703209 0.0441855i
\(541\) 28.3793 3.19758i 0.0524572 0.00591051i −0.0856969 0.996321i \(-0.527312\pi\)
0.138154 + 0.990411i \(0.455883\pi\)
\(542\) −22.2224 + 97.3627i −0.0410007 + 0.179636i
\(543\) 134.809 84.7062i 0.248267 0.155997i
\(544\) −122.181 + 97.4365i −0.224598 + 0.179111i
\(545\) 171.084 + 82.3897i 0.313916 + 0.151174i
\(546\) −20.5333 + 9.88832i −0.0376068 + 0.0181105i
\(547\) −73.0250 + 91.5704i −0.133501 + 0.167405i −0.844088 0.536204i \(-0.819858\pi\)
0.710588 + 0.703609i \(0.248429\pi\)
\(548\) −109.518 12.3397i −0.199850 0.0225177i
\(549\) −128.602 + 367.522i −0.234247 + 0.669440i
\(550\) 466.885i 0.848882i
\(551\) −0.690296 + 3.95393i −0.00125281 + 0.00717591i
\(552\) 426.724 0.773051
\(553\) −151.179 52.8999i −0.273380 0.0956599i
\(554\) −43.5016 + 386.087i −0.0785227 + 0.696908i
\(555\) −139.209 111.015i −0.250827 0.200028i
\(556\) 89.1165 + 185.052i 0.160281 + 0.332828i
\(557\) −376.472 + 781.753i −0.675893 + 1.40351i 0.227109 + 0.973869i \(0.427073\pi\)
−0.903002 + 0.429636i \(0.858642\pi\)
\(558\) −390.646 489.854i −0.700082 0.877875i
\(559\) −32.4515 51.6462i −0.0580527 0.0923904i
\(560\) 42.3661 + 9.66979i 0.0756538 + 0.0172675i
\(561\) −24.9455 221.397i −0.0444661 0.394648i
\(562\) −56.1999 + 89.4416i −0.0999998 + 0.159149i
\(563\) 66.7692 66.7692i 0.118595 0.118595i −0.645318 0.763914i \(-0.723275\pi\)
0.763914 + 0.645318i \(0.223275\pi\)
\(564\) 99.8120 22.7814i 0.176972 0.0403926i
\(565\) −34.1260 97.5264i −0.0603999 0.172613i
\(566\) 182.333 63.8010i 0.322143 0.112723i
\(567\) −6.17136 27.0385i −0.0108842 0.0476870i
\(568\) 406.161 + 406.161i 0.715073 + 0.715073i
\(569\) 586.687 + 368.640i 1.03108 + 0.647873i 0.937589 0.347746i \(-0.113053\pi\)
0.0934960 + 0.995620i \(0.470196\pi\)
\(570\) −0.763059 + 0.0859761i −0.00133870 + 0.000150835i
\(571\) 122.100 534.957i 0.213836 0.936877i −0.748096 0.663590i \(-0.769032\pi\)
0.961933 0.273287i \(-0.0881109\pi\)
\(572\) −38.3139 + 24.0742i −0.0669823 + 0.0420878i
\(573\) 77.6467 61.9212i 0.135509 0.108065i
\(574\) 115.794 + 55.7635i 0.201732 + 0.0971490i
\(575\) 571.679 275.306i 0.994224 0.478793i
\(576\) −276.343 + 346.524i −0.479763 + 0.601604i
\(577\) 377.501 + 42.5342i 0.654248 + 0.0737161i 0.432848 0.901467i \(-0.357509\pi\)
0.221400 + 0.975183i \(0.428937\pi\)
\(578\) 100.499 287.209i 0.173873 0.496901i
\(579\) 509.782i 0.880452i
\(580\) 44.7876 + 25.0196i 0.0772201 + 0.0431372i
\(581\) 219.638 0.378034
\(582\) −480.446 168.115i −0.825509 0.288858i
\(583\) −45.4608 + 403.476i −0.0779774 + 0.692068i
\(584\) −546.386 435.728i −0.935593 0.746110i
\(585\) 20.0702 + 41.6761i 0.0343080 + 0.0712413i
\(586\) 185.965 386.161i 0.317347 0.658977i
\(587\) 227.442 + 285.204i 0.387466 + 0.485867i 0.936864 0.349694i \(-0.113714\pi\)
−0.549398 + 0.835561i \(0.685143\pi\)
\(588\) −37.0614 58.9828i −0.0630295 0.100311i
\(589\) 7.74646 + 1.76808i 0.0131519 + 0.00300183i
\(590\) −0.147890 1.31256i −0.000250661 0.00222468i
\(591\) −65.3013 + 103.926i −0.110493 + 0.175849i
\(592\) −453.875 + 453.875i −0.766680 + 0.766680i
\(593\) −79.2074 + 18.0786i −0.133571 + 0.0304866i −0.288784 0.957394i \(-0.593251\pi\)
0.155213 + 0.987881i \(0.450394\pi\)
\(594\) −182.829 522.496i −0.307793 0.879623i
\(595\) −38.5895 + 13.5031i −0.0648564 + 0.0226942i
\(596\) −51.7333 226.659i −0.0868009 0.380300i
\(597\) 295.890 + 295.890i 0.495629 + 0.495629i
\(598\) −171.883 108.001i −0.287430 0.180604i
\(599\) 110.418 12.4411i 0.184337 0.0207698i −0.0193132 0.999813i \(-0.506148\pi\)
0.203650 + 0.979044i \(0.434719\pi\)
\(600\) 68.4170 299.754i 0.114028 0.499591i
\(601\) −240.700 + 151.242i −0.400499 + 0.251650i −0.717189 0.696879i \(-0.754571\pi\)
0.316690 + 0.948529i \(0.397429\pi\)
\(602\) 42.8328 34.1580i 0.0711508 0.0567409i
\(603\) −125.412 60.3954i −0.207980 0.100158i
\(604\) −157.609 + 75.9005i −0.260942 + 0.125663i
\(605\) −40.6895 + 51.0230i −0.0672553 + 0.0843355i
\(606\) 15.2770 + 1.72131i 0.0252096 + 0.00284044i
\(607\) −103.263 + 295.109i −0.170120 + 0.486176i −0.997104 0.0760501i \(-0.975769\pi\)
0.826984 + 0.562226i \(0.190055\pi\)
\(608\) 2.01401i 0.00331252i
\(609\) −26.3250 92.9616i −0.0432266 0.152646i
\(610\) 208.341 0.341542
\(611\) −243.686 85.2694i −0.398832 0.139557i
\(612\) 6.96559 61.8213i 0.0113817 0.101015i
\(613\) −109.428 87.2662i −0.178513 0.142359i 0.530157 0.847899i \(-0.322133\pi\)
−0.708670 + 0.705540i \(0.750704\pi\)
\(614\) −101.520 210.808i −0.165342 0.343336i
\(615\) −50.3545 + 104.562i −0.0818772 + 0.170020i
\(616\) −134.328 168.442i −0.218065 0.273445i
\(617\) −530.280 843.935i −0.859448 1.36780i −0.928943 0.370222i \(-0.879282\pi\)
0.0694948 0.997582i \(-0.477861\pi\)
\(618\) 198.216 + 45.2415i 0.320738 + 0.0732063i
\(619\) 2.68832 + 23.8595i 0.00434301 + 0.0385452i 0.995697 0.0926708i \(-0.0295404\pi\)
−0.991354 + 0.131216i \(0.958112\pi\)
\(620\) 54.0326 85.9923i 0.0871493 0.138697i
\(621\) −531.964 + 531.964i −0.856624 + 0.856624i
\(622\) −298.320 + 68.0896i −0.479614 + 0.109469i
\(623\) 54.4409 + 155.583i 0.0873851 + 0.249732i
\(624\) −70.0248 + 24.5027i −0.112219 + 0.0392672i
\(625\) −81.6042 357.531i −0.130567 0.572050i
\(626\) −1.79874 1.79874i −0.00287339 0.00287339i
\(627\) 2.43121 + 1.52763i 0.00387753 + 0.00243641i
\(628\) −33.3019 + 3.75222i −0.0530285 + 0.00597488i
\(629\) 134.378 588.747i 0.213637 0.936005i
\(630\) −35.1792 + 22.1046i −0.0558400 + 0.0350866i
\(631\) −198.431 + 158.243i −0.314470 + 0.250782i −0.767986 0.640467i \(-0.778741\pi\)
0.453516 + 0.891248i \(0.350170\pi\)
\(632\) −622.840 299.944i −0.985507 0.474595i
\(633\) −277.315 + 133.548i −0.438096 + 0.210976i
\(634\) −94.0079 + 117.882i −0.148277 + 0.185934i
\(635\) −170.006 19.1551i −0.267726 0.0301655i
\(636\) 16.6595 47.6102i 0.0261943 0.0748589i
\(637\) 175.665i 0.275769i
\(638\) 239.668 + 586.127i 0.375655 + 0.918694i
\(639\) −414.193 −0.648189
\(640\) 119.340 + 41.7589i 0.186469 + 0.0652483i
\(641\) −38.2084 + 339.109i −0.0596075 + 0.529031i 0.928056 + 0.372440i \(0.121479\pi\)
−0.987664 + 0.156591i \(0.949950\pi\)
\(642\) 186.896 + 149.045i 0.291116 + 0.232157i
\(643\) 251.743 + 522.750i 0.391513 + 0.812985i 0.999814 + 0.0192789i \(0.00613705\pi\)
−0.608301 + 0.793706i \(0.708149\pi\)
\(644\) −23.9655 + 49.7648i −0.0372135 + 0.0772746i
\(645\) 30.8447 + 38.6780i 0.0478212 + 0.0599659i
\(646\) −1.38560 2.20517i −0.00214489 0.00341357i
\(647\) −442.664 101.035i −0.684179 0.156160i −0.133717 0.991020i \(-0.542691\pi\)
−0.550462 + 0.834860i \(0.685549\pi\)
\(648\) −13.4024 118.950i −0.0206827 0.183564i
\(649\) −2.62772 + 4.18199i −0.00404888 + 0.00644375i
\(650\) −103.424 + 103.424i −0.159114 + 0.159114i
\(651\) −186.470 + 42.5605i −0.286436 + 0.0653772i
\(652\) −48.0217 137.238i −0.0736529 0.210488i
\(653\) −551.878 + 193.110i −0.845142 + 0.295728i −0.717902 0.696144i \(-0.754898\pi\)
−0.127240 + 0.991872i \(0.540612\pi\)
\(654\) −64.7924 283.874i −0.0990710 0.434058i
\(655\) 184.985 + 184.985i 0.282419 + 0.282419i
\(656\) 354.245 + 222.587i 0.540007 + 0.339309i
\(657\) 500.768 56.4230i 0.762204 0.0858798i
\(658\) 51.6000 226.074i 0.0784194 0.343578i
\(659\) 761.337 478.379i 1.15529 0.725917i 0.188648 0.982045i \(-0.439590\pi\)
0.966643 + 0.256128i \(0.0824467\pi\)
\(660\) 28.6933 22.8822i 0.0434748 0.0346700i
\(661\) 992.160 + 477.799i 1.50100 + 0.722843i 0.990561 0.137072i \(-0.0437693\pi\)
0.510437 + 0.859915i \(0.329484\pi\)
\(662\) 594.524 286.308i 0.898073 0.432489i
\(663\) 43.5179 54.5698i 0.0656379 0.0823073i
\(664\) 942.021 + 106.140i 1.41871 + 0.159850i
\(665\) 0.174021 0.497323i 0.000261686 0.000747855i
\(666\) 613.689i 0.921456i
\(667\) 576.360 639.080i 0.864109 0.958141i
\(668\) −189.569 −0.283787
\(669\) −106.986 37.4360i −0.159919 0.0559581i
\(670\) −8.33910 + 74.0116i −0.0124464 + 0.110465i
\(671\) −609.076 485.722i −0.907713 0.723877i
\(672\) 21.0349 + 43.6794i 0.0313019 + 0.0649992i
\(673\) −231.236 + 480.167i −0.343590 + 0.713473i −0.999131 0.0416874i \(-0.986727\pi\)
0.655540 + 0.755160i \(0.272441\pi\)
\(674\) 384.649 + 482.334i 0.570695 + 0.715629i
\(675\) 288.390 + 458.971i 0.427245 + 0.679956i
\(676\) 139.412 + 31.8199i 0.206231 + 0.0470708i
\(677\) −0.426844 3.78834i −0.000630493 0.00559578i 0.993393 0.114762i \(-0.0366105\pi\)
−0.994024 + 0.109166i \(0.965182\pi\)
\(678\) −84.2938 + 134.153i −0.124327 + 0.197865i
\(679\) 246.964 246.964i 0.363718 0.363718i
\(680\) −172.035 + 39.2659i −0.252993 + 0.0577439i
\(681\) 58.2223 + 166.390i 0.0854953 + 0.244331i
\(682\) 1183.22 414.026i 1.73492 0.607076i
\(683\) 122.389 + 536.221i 0.179193 + 0.785096i 0.982004 + 0.188862i \(0.0604799\pi\)
−0.802810 + 0.596234i \(0.796663\pi\)
\(684\) 0.566933 + 0.566933i 0.000828850 + 0.000828850i
\(685\) −190.863 119.927i −0.278632 0.175076i
\(686\) −327.533 + 36.9041i −0.477453 + 0.0537961i
\(687\) −118.155 + 517.671i −0.171987 + 0.753525i
\(688\) 151.004 94.8823i 0.219483 0.137910i
\(689\) −99.4483 + 79.3073i −0.144337 + 0.115105i
\(690\) 148.339 + 71.4362i 0.214984 + 0.103531i
\(691\) 689.611 332.099i 0.997990 0.480606i 0.137734 0.990469i \(-0.456018\pi\)
0.860256 + 0.509863i \(0.170304\pi\)
\(692\) 62.7502 78.6862i 0.0906795 0.113708i
\(693\) 154.379 + 17.3943i 0.222769 + 0.0251000i
\(694\) −371.055 + 1060.41i −0.534661 + 1.52797i
\(695\) 420.088i 0.604443i
\(696\) −67.9833 411.432i −0.0976772 0.591137i
\(697\) −393.610 −0.564721
\(698\) −773.318 270.596i −1.10790 0.387673i
\(699\) 52.0684 462.120i 0.0744898 0.661115i
\(700\) 31.1151 + 24.8135i 0.0444502 + 0.0354479i
\(701\) 391.731 + 813.437i 0.558817 + 1.16040i 0.968695 + 0.248255i \(0.0798571\pi\)
−0.409878 + 0.912141i \(0.634429\pi\)
\(702\) 75.2429 156.243i 0.107184 0.222569i
\(703\) 4.85238 + 6.08469i 0.00690239 + 0.00865532i
\(704\) −471.791 750.852i −0.670158 1.06655i
\(705\) 204.145 + 46.5948i 0.289567 + 0.0660918i
\(706\) 40.5597 + 359.978i 0.0574500 + 0.509883i
\(707\) −5.61228 + 8.93189i −0.00793816 + 0.0126335i
\(708\) 0.433862 0.433862i 0.000612800 0.000612800i
\(709\) 1016.73 232.062i 1.43403 0.327309i 0.566243 0.824238i \(-0.308396\pi\)
0.867791 + 0.496929i \(0.165539\pi\)
\(710\) 73.1969 + 209.185i 0.103094 + 0.294626i
\(711\) 470.516 164.641i 0.661767 0.231562i
\(712\) 158.310 + 693.601i 0.222345 + 0.974159i
\(713\) −1204.66 1204.66i −1.68956 1.68956i
\(714\) 53.0820 + 33.3536i 0.0743445 + 0.0467138i
\(715\) −91.9667 + 10.3622i −0.128625 + 0.0144925i
\(716\) −23.8865 + 104.653i −0.0333610 + 0.146164i
\(717\) 0.190246 0.119539i 0.000265336 0.000166722i
\(718\) −239.565 + 191.047i −0.333656 + 0.266082i
\(719\) 623.735 + 300.375i 0.867504 + 0.417768i 0.814045 0.580802i \(-0.197261\pi\)
0.0534590 + 0.998570i \(0.482975\pi\)
\(720\) −121.854 + 58.6816i −0.169241 + 0.0815022i
\(721\) −86.9799 + 109.069i −0.120638 + 0.151275i
\(722\) −628.511 70.8162i −0.870514 0.0980833i
\(723\) −258.123 + 737.674i −0.357017 + 1.02030i
\(724\) 88.9479i 0.122856i
\(725\) −356.517 507.331i −0.491747 0.699768i
\(726\) 100.071 0.137838
\(727\) −280.613 98.1906i −0.385987 0.135063i 0.130308 0.991474i \(-0.458403\pi\)
−0.516295 + 0.856411i \(0.672689\pi\)
\(728\) 7.55693 67.0696i 0.0103804 0.0921286i
\(729\) −229.468 182.994i −0.314770 0.251021i
\(730\) −116.993 242.938i −0.160264 0.332791i
\(731\) −72.7991 + 151.169i −0.0995884 + 0.206797i
\(732\) 60.3410 + 75.6652i 0.0824331 + 0.103368i
\(733\) −270.527 430.541i −0.369068 0.587369i 0.609627 0.792689i \(-0.291319\pi\)
−0.978695 + 0.205320i \(0.934177\pi\)
\(734\) −467.765 106.764i −0.637282 0.145455i
\(735\) −15.9522 141.579i −0.0217036 0.192625i
\(736\) −229.746 + 365.638i −0.312154 + 0.496791i
\(737\) 196.928 196.928i 0.267202 0.267202i
\(738\) −389.970 + 89.0082i −0.528415 + 0.120607i
\(739\) −123.481 352.888i −0.167092 0.477521i 0.829640 0.558298i \(-0.188546\pi\)
−0.996732 + 0.0807770i \(0.974260\pi\)
\(740\) 93.8925 32.8544i 0.126882 0.0443978i
\(741\) 0.200161 + 0.876962i 0.000270123 + 0.00118348i
\(742\) −80.7858 80.7858i −0.108876 0.108876i
\(743\) −61.7282 38.7864i −0.0830797 0.0522024i 0.489852 0.871806i \(-0.337051\pi\)
−0.572931 + 0.819603i \(0.694194\pi\)
\(744\) −820.332 + 92.4292i −1.10260 + 0.124233i
\(745\) 105.810 463.583i 0.142027 0.622260i
\(746\) 72.4306 45.5112i 0.0970920 0.0610069i
\(747\) −534.444 + 426.205i −0.715454 + 0.570556i
\(748\) 112.145 + 54.0062i 0.149926 + 0.0722008i
\(749\) −147.782 + 71.1679i −0.197305 + 0.0950172i
\(750\) 160.444 201.191i 0.213926 0.268254i
\(751\) −690.638 77.8162i −0.919624 0.103617i −0.360555 0.932738i \(-0.617413\pi\)
−0.559069 + 0.829121i \(0.688841\pi\)
\(752\) 249.312 712.494i 0.331533 0.947466i
\(753\) 460.710i 0.611833i
\(754\) −76.7475 + 182.930i −0.101787 + 0.242612i
\(755\) −357.789 −0.473892
\(756\) −44.5381 15.5845i −0.0589128 0.0206145i
\(757\) −10.1618 + 90.1883i −0.0134238 + 0.119139i −0.998637 0.0521936i \(-0.983379\pi\)
0.985213 + 0.171333i \(0.0548073\pi\)
\(758\) 227.001 + 181.027i 0.299474 + 0.238822i
\(759\) −267.117 554.675i −0.351933 0.730797i
\(760\) 0.986704 2.04891i 0.00129829