Properties

Label 441.2.ba.a.106.45
Level $441$
Weight $2$
Character 441.106
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.ba (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 106.45
Character \(\chi\) \(=\) 441.106
Dual form 441.2.ba.a.337.45

$q$-expansion

\(f(q)\) \(=\) \(q+(1.89026 - 0.284911i) q^{2} +(1.05095 - 1.37677i) q^{3} +(1.58076 - 0.487598i) q^{4} +(-0.509493 - 0.347367i) q^{5} +(1.59432 - 2.90188i) q^{6} +(2.55194 - 0.698271i) q^{7} +(-0.595487 + 0.286771i) q^{8} +(-0.790990 - 2.89384i) q^{9} +O(q^{10})\) \(q+(1.89026 - 0.284911i) q^{2} +(1.05095 - 1.37677i) q^{3} +(1.58076 - 0.487598i) q^{4} +(-0.509493 - 0.347367i) q^{5} +(1.59432 - 2.90188i) q^{6} +(2.55194 - 0.698271i) q^{7} +(-0.595487 + 0.286771i) q^{8} +(-0.790990 - 2.89384i) q^{9} +(-1.06204 - 0.511453i) q^{10} +(1.83914 - 0.277206i) q^{11} +(0.989991 - 2.68878i) q^{12} +(-1.35293 + 3.44722i) q^{13} +(4.62489 - 2.04699i) q^{14} +(-1.01370 + 0.336389i) q^{15} +(-3.77753 + 2.57548i) q^{16} +(0.108842 + 0.476870i) q^{17} +(-2.31966 - 5.24475i) q^{18} -4.81600 q^{19} +(-0.974760 - 0.300674i) q^{20} +(1.72062 - 4.24729i) q^{21} +(3.39747 - 1.04798i) q^{22} +(2.49946 - 0.770981i) q^{23} +(-0.231012 + 1.12123i) q^{24} +(-1.68779 - 4.30041i) q^{25} +(-1.57524 + 6.90159i) q^{26} +(-4.81545 - 1.95229i) q^{27} +(3.69352 - 2.34812i) q^{28} +(9.29350 + 2.86667i) q^{29} +(-1.82031 + 0.924674i) q^{30} +(3.05299 + 5.28793i) q^{31} +(-5.43772 + 5.04546i) q^{32} +(1.55120 - 2.82340i) q^{33} +(0.341606 + 0.870397i) q^{34} +(-1.54275 - 0.530696i) q^{35} +(-2.66139 - 4.18877i) q^{36} +(1.66442 + 7.29229i) q^{37} +(-9.10348 + 1.37213i) q^{38} +(3.32415 + 5.48554i) q^{39} +(0.403012 + 0.0607442i) q^{40} +(-7.15658 - 4.87927i) q^{41} +(2.04231 - 8.51870i) q^{42} +(-5.57669 + 3.80212i) q^{43} +(2.77207 - 1.33496i) q^{44} +(-0.602221 + 1.74916i) q^{45} +(4.50496 - 2.16948i) q^{46} +(-0.579126 + 0.0872892i) q^{47} +(-0.424174 + 7.90750i) q^{48} +(6.02483 - 3.56390i) q^{49} +(-4.41558 - 7.64801i) q^{50} +(0.770929 + 0.351318i) q^{51} +(-0.457798 + 6.10889i) q^{52} +(1.57726 - 6.91041i) q^{53} +(-9.65867 - 2.31836i) q^{54} +(-1.03332 - 0.497622i) q^{55} +(-1.31941 + 1.14764i) q^{56} +(-5.06140 + 6.63052i) q^{57} +(18.3839 + 2.77092i) q^{58} +(0.915200 + 12.2125i) q^{59} +(-1.43839 + 1.02603i) q^{60} +(-10.4959 - 3.23757i) q^{61} +(7.27752 + 9.12573i) q^{62} +(-4.03925 - 6.83260i) q^{63} +(-3.14004 + 3.93749i) q^{64} +(1.88676 - 1.28637i) q^{65} +(2.12776 - 5.77892i) q^{66} +(3.05732 + 5.29543i) q^{67} +(0.404574 + 0.700743i) q^{68} +(1.56535 - 4.25145i) q^{69} +(-3.06741 - 0.563605i) q^{70} +(-0.553792 + 2.42632i) q^{71} +(1.30090 + 1.49641i) q^{72} +(-1.39873 + 1.75395i) q^{73} +(5.22383 + 13.3101i) q^{74} +(-7.69445 - 2.19584i) q^{75} +(-7.61292 + 2.34827i) q^{76} +(4.49982 - 1.99163i) q^{77} +(7.84639 + 9.42201i) q^{78} +(-0.767092 + 1.32864i) q^{79} +2.81926 q^{80} +(-7.74867 + 4.57800i) q^{81} +(-14.9179 - 7.18410i) q^{82} +(-2.22859 - 5.67835i) q^{83} +(0.648904 - 7.55290i) q^{84} +(0.110194 - 0.280770i) q^{85} +(-9.45811 + 8.77584i) q^{86} +(13.7138 - 9.78227i) q^{87} +(-1.01569 + 0.692486i) q^{88} +(5.10697 - 6.40393i) q^{89} +(-0.640000 + 3.47794i) q^{90} +(-1.04552 + 9.74181i) q^{91} +(3.57511 - 2.43747i) q^{92} +(10.4888 + 1.35411i) q^{93} +(-1.06983 + 0.329998i) q^{94} +(2.45372 + 1.67292i) q^{95} +(1.23165 + 12.7890i) q^{96} +(3.74152 - 6.48051i) q^{97} +(10.3731 - 8.45322i) q^{98} +(-2.25693 - 5.10292i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 10 q^{3} + 47 q^{4} - 9 q^{5} - 34 q^{6} - 7 q^{7} - 28 q^{8} + O(q^{10}) \) \( 648 q - 5 q^{2} - 10 q^{3} + 47 q^{4} - 9 q^{5} - 34 q^{6} - 7 q^{7} - 28 q^{8} - 28 q^{10} - 5 q^{11} + 5 q^{12} - 7 q^{13} - 38 q^{14} - 22 q^{15} + 47 q^{16} - 16 q^{17} - 46 q^{18} - 44 q^{19} - 29 q^{20} - 12 q^{21} - 13 q^{22} - 20 q^{23} - 2 q^{24} + 41 q^{25} - 20 q^{26} - 13 q^{27} - 28 q^{28} - 35 q^{29} - 6 q^{30} - 20 q^{31} - 25 q^{32} - 22 q^{33} - q^{34} - 44 q^{35} - 28 q^{36} - 30 q^{37} - 7 q^{38} - 8 q^{39} + 5 q^{40} - 29 q^{41} - 104 q^{42} - 13 q^{43} - 88 q^{44} + 63 q^{45} + 32 q^{46} - 55 q^{47} - 14 q^{48} - q^{49} + 6 q^{50} - 18 q^{51} + 3 q^{52} - 136 q^{53} + 30 q^{54} - 100 q^{55} + 145 q^{56} - 96 q^{57} + 17 q^{58} - 19 q^{59} + 118 q^{60} + 42 q^{61} + 96 q^{62} - 6 q^{63} - 124 q^{64} - 11 q^{65} + 120 q^{66} - 26 q^{67} + 166 q^{68} - 134 q^{69} - 7 q^{70} - 22 q^{71} + 32 q^{72} + 8 q^{73} - 45 q^{74} - 36 q^{75} - 41 q^{76} + q^{77} - 18 q^{78} - 26 q^{79} - 440 q^{80} + 64 q^{81} - 28 q^{82} + 61 q^{83} - 86 q^{84} + 5 q^{85} + 15 q^{86} + 34 q^{87} - q^{88} + 22 q^{89} + 96 q^{90} - 16 q^{91} - 43 q^{92} - 110 q^{93} - q^{94} - 38 q^{95} - 165 q^{96} - 14 q^{97} - 144 q^{98} - 196 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.89026 0.284911i 1.33661 0.201462i 0.558458 0.829533i \(-0.311393\pi\)
0.778156 + 0.628071i \(0.216155\pi\)
\(3\) 1.05095 1.37677i 0.606769 0.794878i
\(4\) 1.58076 0.487598i 0.790378 0.243799i
\(5\) −0.509493 0.347367i −0.227852 0.155347i 0.444013 0.896020i \(-0.353554\pi\)
−0.671866 + 0.740673i \(0.734507\pi\)
\(6\) 1.59432 2.90188i 0.650878 1.18469i
\(7\) 2.55194 0.698271i 0.964544 0.263922i
\(8\) −0.595487 + 0.286771i −0.210536 + 0.101389i
\(9\) −0.790990 2.89384i −0.263663 0.964615i
\(10\) −1.06204 0.511453i −0.335847 0.161736i
\(11\) 1.83914 0.277206i 0.554522 0.0835807i 0.134197 0.990955i \(-0.457154\pi\)
0.420324 + 0.907374i \(0.361916\pi\)
\(12\) 0.989991 2.68878i 0.285786 0.776184i
\(13\) −1.35293 + 3.44722i −0.375236 + 0.956086i 0.611132 + 0.791529i \(0.290715\pi\)
−0.986368 + 0.164557i \(0.947381\pi\)
\(14\) 4.62489 2.04699i 1.23605 0.547081i
\(15\) −1.01370 + 0.336389i −0.261736 + 0.0868551i
\(16\) −3.77753 + 2.57548i −0.944382 + 0.643869i
\(17\) 0.108842 + 0.476870i 0.0263982 + 0.115658i 0.986410 0.164300i \(-0.0525366\pi\)
−0.960012 + 0.279958i \(0.909679\pi\)
\(18\) −2.31966 5.24475i −0.546749 1.23620i
\(19\) −4.81600 −1.10487 −0.552433 0.833557i \(-0.686300\pi\)
−0.552433 + 0.833557i \(0.686300\pi\)
\(20\) −0.974760 0.300674i −0.217963 0.0672327i
\(21\) 1.72062 4.24729i 0.375470 0.926835i
\(22\) 3.39747 1.04798i 0.724343 0.223430i
\(23\) 2.49946 0.770981i 0.521173 0.160761i −0.0229968 0.999736i \(-0.507321\pi\)
0.544170 + 0.838975i \(0.316845\pi\)
\(24\) −0.231012 + 1.12123i −0.0471550 + 0.228871i
\(25\) −1.68779 4.30041i −0.337557 0.860081i
\(26\) −1.57524 + 6.90159i −0.308931 + 1.35351i
\(27\) −4.81545 1.95229i −0.926734 0.375718i
\(28\) 3.69352 2.34812i 0.698010 0.443753i
\(29\) 9.29350 + 2.86667i 1.72576 + 0.532326i 0.989520 0.144395i \(-0.0461235\pi\)
0.736239 + 0.676721i \(0.236600\pi\)
\(30\) −1.82031 + 0.924674i −0.332342 + 0.168822i
\(31\) 3.05299 + 5.28793i 0.548333 + 0.949741i 0.998389 + 0.0567403i \(0.0180707\pi\)
−0.450056 + 0.893000i \(0.648596\pi\)
\(32\) −5.43772 + 5.04546i −0.961262 + 0.891920i
\(33\) 1.55120 2.82340i 0.270030 0.491492i
\(34\) 0.341606 + 0.870397i 0.0585849 + 0.149272i
\(35\) −1.54275 0.530696i −0.260773 0.0897040i
\(36\) −2.66139 4.18877i −0.443566 0.698129i
\(37\) 1.66442 + 7.29229i 0.273629 + 1.19885i 0.905695 + 0.423931i \(0.139350\pi\)
−0.632066 + 0.774915i \(0.717793\pi\)
\(38\) −9.10348 + 1.37213i −1.47678 + 0.222589i
\(39\) 3.32415 + 5.48554i 0.532290 + 0.878390i
\(40\) 0.403012 + 0.0607442i 0.0637217 + 0.00960451i
\(41\) −7.15658 4.87927i −1.11767 0.762015i −0.143910 0.989591i \(-0.545968\pi\)
−0.973760 + 0.227576i \(0.926920\pi\)
\(42\) 2.04231 8.51870i 0.315136 1.31446i
\(43\) −5.57669 + 3.80212i −0.850437 + 0.579818i −0.908211 0.418512i \(-0.862552\pi\)
0.0577747 + 0.998330i \(0.481599\pi\)
\(44\) 2.77207 1.33496i 0.417905 0.201252i
\(45\) −0.602221 + 1.74916i −0.0897739 + 0.260749i
\(46\) 4.50496 2.16948i 0.664221 0.319872i
\(47\) −0.579126 + 0.0872892i −0.0844742 + 0.0127324i −0.191143 0.981562i \(-0.561220\pi\)
0.106669 + 0.994295i \(0.465981\pi\)
\(48\) −0.424174 + 7.90750i −0.0612242 + 1.14135i
\(49\) 6.02483 3.56390i 0.860691 0.509128i
\(50\) −4.41558 7.64801i −0.624457 1.08159i
\(51\) 0.770929 + 0.351318i 0.107952 + 0.0491943i
\(52\) −0.457798 + 6.10889i −0.0634852 + 0.847151i
\(53\) 1.57726 6.91041i 0.216653 0.949218i −0.743278 0.668982i \(-0.766730\pi\)
0.959931 0.280236i \(-0.0904127\pi\)
\(54\) −9.65867 2.31836i −1.31438 0.315488i
\(55\) −1.03332 0.497622i −0.139333 0.0670993i
\(56\) −1.31941 + 1.14764i −0.176313 + 0.153359i
\(57\) −5.06140 + 6.63052i −0.670398 + 0.878234i
\(58\) 18.3839 + 2.77092i 2.41392 + 0.363840i
\(59\) 0.915200 + 12.2125i 0.119149 + 1.58993i 0.661608 + 0.749850i \(0.269874\pi\)
−0.542459 + 0.840082i \(0.682507\pi\)
\(60\) −1.43839 + 1.02603i −0.185695 + 0.132459i
\(61\) −10.4959 3.23757i −1.34387 0.414528i −0.462357 0.886694i \(-0.652996\pi\)
−0.881510 + 0.472166i \(0.843472\pi\)
\(62\) 7.27752 + 9.12573i 0.924247 + 1.15897i
\(63\) −4.03925 6.83260i −0.508898 0.860827i
\(64\) −3.14004 + 3.93749i −0.392505 + 0.492186i
\(65\) 1.88676 1.28637i 0.234024 0.159555i
\(66\) 2.12776 5.77892i 0.261909 0.711336i
\(67\) 3.05732 + 5.29543i 0.373511 + 0.646940i 0.990103 0.140343i \(-0.0448205\pi\)
−0.616592 + 0.787283i \(0.711487\pi\)
\(68\) 0.404574 + 0.700743i 0.0490619 + 0.0849776i
\(69\) 1.56535 4.25145i 0.188447 0.511814i
\(70\) −3.06741 0.563605i −0.366625 0.0673637i
\(71\) −0.553792 + 2.42632i −0.0657230 + 0.287951i −0.997100 0.0761054i \(-0.975751\pi\)
0.931377 + 0.364057i \(0.118609\pi\)
\(72\) 1.30090 + 1.49641i 0.153312 + 0.176354i
\(73\) −1.39873 + 1.75395i −0.163709 + 0.205284i −0.856919 0.515451i \(-0.827624\pi\)
0.693210 + 0.720735i \(0.256196\pi\)
\(74\) 5.22383 + 13.3101i 0.607258 + 1.54727i
\(75\) −7.69445 2.19584i −0.888479 0.253554i
\(76\) −7.61292 + 2.34827i −0.873261 + 0.269365i
\(77\) 4.49982 1.99163i 0.512802 0.226968i
\(78\) 7.84639 + 9.42201i 0.888429 + 1.06683i
\(79\) −0.767092 + 1.32864i −0.0863046 + 0.149484i −0.905946 0.423392i \(-0.860839\pi\)
0.819642 + 0.572876i \(0.194173\pi\)
\(80\) 2.81926 0.315203
\(81\) −7.74867 + 4.57800i −0.860963 + 0.508667i
\(82\) −14.9179 7.18410i −1.64741 0.793351i
\(83\) −2.22859 5.67835i −0.244619 0.623280i 0.754849 0.655899i \(-0.227710\pi\)
−0.999468 + 0.0326194i \(0.989615\pi\)
\(84\) 0.648904 7.55290i 0.0708012 0.824089i
\(85\) 0.110194 0.280770i 0.0119522 0.0304538i
\(86\) −9.45811 + 8.77584i −1.01989 + 0.946324i
\(87\) 13.7138 9.78227i 1.47027 1.04877i
\(88\) −1.01569 + 0.692486i −0.108273 + 0.0738192i
\(89\) 5.10697 6.40393i 0.541337 0.678816i −0.433649 0.901082i \(-0.642774\pi\)
0.974986 + 0.222267i \(0.0713455\pi\)
\(90\) −0.640000 + 3.47794i −0.0674619 + 0.366607i
\(91\) −1.04552 + 9.74181i −0.109600 + 1.02122i
\(92\) 3.57511 2.43747i 0.372730 0.254123i
\(93\) 10.4888 + 1.35411i 1.08764 + 0.140415i
\(94\) −1.06983 + 0.329998i −0.110344 + 0.0340367i
\(95\) 2.45372 + 1.67292i 0.251746 + 0.171638i
\(96\) 1.23165 + 12.7890i 0.125705 + 1.30528i
\(97\) 3.74152 6.48051i 0.379894 0.657996i −0.611153 0.791513i \(-0.709294\pi\)
0.991046 + 0.133517i \(0.0426271\pi\)
\(98\) 10.3731 8.45322i 1.04784 0.853905i
\(99\) −2.25693 5.10292i −0.226830 0.512863i
\(100\) −4.76485 5.97493i −0.476485 0.597493i
\(101\) 0.335717 4.47983i 0.0334051 0.445760i −0.955275 0.295719i \(-0.904441\pi\)
0.988680 0.150040i \(-0.0479403\pi\)
\(102\) 1.55735 + 0.444435i 0.154200 + 0.0440057i
\(103\) −11.6276 7.92757i −1.14570 0.781127i −0.166909 0.985972i \(-0.553378\pi\)
−0.978794 + 0.204845i \(0.934331\pi\)
\(104\) −0.182909 2.44076i −0.0179357 0.239336i
\(105\) −2.35201 + 1.56628i −0.229533 + 0.152853i
\(106\) 1.01257 13.5118i 0.0983497 1.31239i
\(107\) 11.4592 14.3694i 1.10780 1.38914i 0.194969 0.980809i \(-0.437539\pi\)
0.912834 0.408332i \(-0.133889\pi\)
\(108\) −8.56398 0.738083i −0.824070 0.0710221i
\(109\) 6.44705 + 8.08435i 0.617516 + 0.774340i 0.987993 0.154502i \(-0.0493772\pi\)
−0.370477 + 0.928842i \(0.620806\pi\)
\(110\) −2.09502 0.646229i −0.199753 0.0616155i
\(111\) 11.7890 + 5.37235i 1.11897 + 0.509920i
\(112\) −7.84166 + 9.21021i −0.740967 + 0.870283i
\(113\) 6.42484 + 0.968389i 0.604398 + 0.0910984i 0.444111 0.895972i \(-0.353520\pi\)
0.160288 + 0.987070i \(0.448758\pi\)
\(114\) −7.67824 + 13.9754i −0.719133 + 1.30892i
\(115\) −1.54127 0.475419i −0.143724 0.0443331i
\(116\) 16.0885 1.49378
\(117\) 11.0459 + 1.18846i 1.02119 + 0.109874i
\(118\) 5.20943 + 22.8240i 0.479567 + 2.10112i
\(119\) 0.610745 + 1.14094i 0.0559869 + 0.104590i
\(120\) 0.507178 0.491015i 0.0462988 0.0448233i
\(121\) −7.20570 + 2.22267i −0.655064 + 0.202060i
\(122\) −20.7624 3.12943i −1.87974 0.283326i
\(123\) −14.2389 + 4.72507i −1.28388 + 0.426045i
\(124\) 7.40442 + 6.87029i 0.664936 + 0.616971i
\(125\) −1.31998 + 5.78322i −0.118063 + 0.517267i
\(126\) −9.58190 11.7646i −0.853624 1.04807i
\(127\) −3.94110 17.2671i −0.349716 1.53221i −0.777825 0.628480i \(-0.783677\pi\)
0.428109 0.903727i \(-0.359180\pi\)
\(128\) 2.60426 4.51071i 0.230186 0.398694i
\(129\) −0.626199 + 11.6737i −0.0551338 + 1.02781i
\(130\) 3.19996 2.96913i 0.280655 0.260410i
\(131\) −0.399960 5.33710i −0.0349447 0.466304i −0.987037 0.160493i \(-0.948691\pi\)
0.952092 0.305811i \(-0.0989276\pi\)
\(132\) 1.07539 5.21948i 0.0936005 0.454297i
\(133\) −12.2902 + 3.36287i −1.06569 + 0.291598i
\(134\) 7.28785 + 9.13867i 0.629574 + 0.789461i
\(135\) 1.77528 + 2.66741i 0.152792 + 0.229574i
\(136\) −0.201567 0.252757i −0.0172842 0.0216737i
\(137\) −12.7807 + 8.71375i −1.09193 + 0.744466i −0.968780 0.247922i \(-0.920252\pi\)
−0.123151 + 0.992388i \(0.539300\pi\)
\(138\) 1.74764 8.48232i 0.148769 0.722063i
\(139\) 1.58988 + 1.08396i 0.134852 + 0.0919404i 0.628867 0.777513i \(-0.283519\pi\)
−0.494015 + 0.869453i \(0.664471\pi\)
\(140\) −2.69748 0.0866554i −0.227979 0.00732372i
\(141\) −0.488458 + 0.889060i −0.0411356 + 0.0748724i
\(142\) −0.355525 + 4.74416i −0.0298350 + 0.398121i
\(143\) −1.53265 + 6.71496i −0.128166 + 0.561533i
\(144\) 10.4410 + 8.89441i 0.870084 + 0.741201i
\(145\) −3.73919 4.68880i −0.310523 0.389384i
\(146\) −2.14424 + 3.71393i −0.177458 + 0.307367i
\(147\) 1.42516 12.0403i 0.117545 0.993068i
\(148\) 6.18675 + 10.7158i 0.508547 + 0.880830i
\(149\) 6.77436 17.2608i 0.554978 1.41406i −0.328015 0.944673i \(-0.606380\pi\)
0.882992 0.469387i \(-0.155525\pi\)
\(150\) −15.1701 1.95847i −1.23864 0.159909i
\(151\) −9.28215 8.61257i −0.755370 0.700881i 0.205261 0.978707i \(-0.434196\pi\)
−0.960631 + 0.277826i \(0.910386\pi\)
\(152\) 2.86787 1.38109i 0.232615 0.112021i
\(153\) 1.29389 0.692172i 0.104605 0.0559588i
\(154\) 7.93838 5.04675i 0.639693 0.406678i
\(155\) 0.281374 3.75467i 0.0226005 0.301583i
\(156\) 7.92941 + 7.05045i 0.634861 + 0.564488i
\(157\) −0.343824 4.58801i −0.0274401 0.366163i −0.993973 0.109622i \(-0.965036\pi\)
0.966533 0.256542i \(-0.0825830\pi\)
\(158\) −1.07146 + 2.73003i −0.0852406 + 0.217190i
\(159\) −7.85642 9.43405i −0.623055 0.748169i
\(160\) 4.52311 0.681749i 0.357583 0.0538970i
\(161\) 5.84013 3.71280i 0.460267 0.292610i
\(162\) −13.3427 + 10.8613i −1.04830 + 0.853343i
\(163\) −3.73627 1.79929i −0.292647 0.140932i 0.281800 0.959473i \(-0.409069\pi\)
−0.574447 + 0.818542i \(0.694783\pi\)
\(164\) −13.6919 4.22340i −1.06916 0.329792i
\(165\) −1.77109 + 0.899669i −0.137879 + 0.0700391i
\(166\) −5.83043 10.0986i −0.452529 0.783803i
\(167\) 7.90849 7.33801i 0.611978 0.567832i −0.312094 0.950051i \(-0.601030\pi\)
0.924072 + 0.382219i \(0.124840\pi\)
\(168\) 0.193396 + 3.02263i 0.0149208 + 0.233201i
\(169\) −0.523195 0.485454i −0.0402458 0.0373427i
\(170\) 0.128301 0.562124i 0.00984025 0.0431129i
\(171\) 3.80941 + 13.9368i 0.291312 + 1.06577i
\(172\) −6.96147 + 8.72941i −0.530807 + 0.665611i
\(173\) 1.93967 + 1.79975i 0.147471 + 0.136833i 0.750458 0.660918i \(-0.229833\pi\)
−0.602988 + 0.797750i \(0.706023\pi\)
\(174\) 23.1355 22.3982i 1.75390 1.69800i
\(175\) −7.30998 9.79586i −0.552583 0.740498i
\(176\) −6.23347 + 5.78382i −0.469866 + 0.435972i
\(177\) 17.7756 + 11.5748i 1.33610 + 0.870012i
\(178\) 7.82894 13.5601i 0.586804 1.01637i
\(179\) −1.88647 8.26516i −0.141001 0.617767i −0.995204 0.0978261i \(-0.968811\pi\)
0.854202 0.519941i \(-0.174046\pi\)
\(180\) −0.0990777 + 3.05863i −0.00738482 + 0.227977i
\(181\) −15.4090 + 19.3223i −1.14534 + 1.43622i −0.263508 + 0.964657i \(0.584880\pi\)
−0.881835 + 0.471558i \(0.843692\pi\)
\(182\) 0.799250 + 18.7124i 0.0592444 + 1.38706i
\(183\) −15.4881 + 11.0480i −1.14492 + 0.816688i
\(184\) −1.26730 + 1.17588i −0.0934267 + 0.0866873i
\(185\) 1.68509 4.29354i 0.123890 0.315667i
\(186\) 20.2124 0.428752i 1.48204 0.0314376i
\(187\) 0.332368 + 0.846860i 0.0243051 + 0.0619285i
\(188\) −0.872895 + 0.420364i −0.0636624 + 0.0306582i
\(189\) −13.6520 1.61964i −0.993036 0.117811i
\(190\) 5.11480 + 2.46316i 0.371066 + 0.178696i
\(191\) 1.33060 17.7556i 0.0962787 1.28475i −0.714599 0.699534i \(-0.753391\pi\)
0.810878 0.585216i \(-0.198990\pi\)
\(192\) 2.12097 + 8.46124i 0.153068 + 0.610637i
\(193\) 6.84185 + 4.66469i 0.492487 + 0.335772i 0.783964 0.620806i \(-0.213194\pi\)
−0.291477 + 0.956578i \(0.594147\pi\)
\(194\) 5.22608 13.3158i 0.375210 0.956021i
\(195\) 0.211862 3.94955i 0.0151717 0.282833i
\(196\) 7.78604 8.57135i 0.556146 0.612239i
\(197\) −2.41828 −0.172296 −0.0861478 0.996282i \(-0.527456\pi\)
−0.0861478 + 0.996282i \(0.527456\pi\)
\(198\) −5.72006 9.00281i −0.406507 0.639802i
\(199\) −8.70803 + 4.19357i −0.617296 + 0.297274i −0.716278 0.697815i \(-0.754156\pi\)
0.0989820 + 0.995089i \(0.468441\pi\)
\(200\) 2.23829 + 2.07683i 0.158271 + 0.146854i
\(201\) 10.5037 + 1.35603i 0.740873 + 0.0956472i
\(202\) −0.641759 8.56368i −0.0451540 0.602538i
\(203\) 25.7182 + 0.826185i 1.80506 + 0.0579868i
\(204\) 1.38995 + 0.179444i 0.0973161 + 0.0125636i
\(205\) 1.95133 + 4.97192i 0.136287 + 0.347254i
\(206\) −24.2378 11.6723i −1.68873 0.813250i
\(207\) −4.20815 6.62321i −0.292486 0.460345i
\(208\) −3.76748 16.5064i −0.261228 1.14451i
\(209\) −8.85730 + 1.33502i −0.612672 + 0.0923455i
\(210\) −3.99966 + 3.63079i −0.276003 + 0.250548i
\(211\) 9.33098 + 1.40642i 0.642371 + 0.0968218i 0.462146 0.886804i \(-0.347079\pi\)
0.180225 + 0.983625i \(0.442318\pi\)
\(212\) −0.876250 11.6927i −0.0601811 0.803061i
\(213\) 2.75848 + 3.31240i 0.189008 + 0.226962i
\(214\) 17.5669 30.4267i 1.20085 2.07993i
\(215\) 4.16202 0.283847
\(216\) 3.42740 0.218372i 0.233205 0.0148583i
\(217\) 11.4835 + 11.3627i 0.779549 + 0.771350i
\(218\) 14.4899 + 13.4447i 0.981380 + 0.910588i
\(219\) 0.944784 + 3.76904i 0.0638426 + 0.254688i
\(220\) −1.87607 0.282772i −0.126485 0.0190645i
\(221\) −1.79113 0.269969i −0.120484 0.0181601i
\(222\) 23.8149 + 6.79630i 1.59835 + 0.456138i
\(223\) −7.99180 7.41531i −0.535171 0.496566i 0.365653 0.930751i \(-0.380846\pi\)
−0.900824 + 0.434185i \(0.857036\pi\)
\(224\) −10.3536 + 16.6727i −0.691782 + 1.11399i
\(225\) −11.1097 + 8.28576i −0.740646 + 0.552384i
\(226\) 12.4205 0.826200
\(227\) −8.34947 + 14.4617i −0.554174 + 0.959857i 0.443793 + 0.896129i \(0.353632\pi\)
−0.997967 + 0.0637282i \(0.979701\pi\)
\(228\) −4.76780 + 12.9492i −0.315755 + 0.857579i
\(229\) −0.726281 9.69155i −0.0479940 0.640436i −0.968389 0.249446i \(-0.919752\pi\)
0.920395 0.390990i \(-0.127867\pi\)
\(230\) −3.04885 0.459541i −0.201035 0.0303012i
\(231\) 1.98709 8.28833i 0.130741 0.545332i
\(232\) −6.35624 + 0.958049i −0.417307 + 0.0628990i
\(233\) 4.05915 + 17.7843i 0.265924 + 1.16509i 0.914708 + 0.404115i \(0.132420\pi\)
−0.648785 + 0.760972i \(0.724722\pi\)
\(234\) 21.2181 0.900578i 1.38707 0.0588726i
\(235\) 0.325382 + 0.156696i 0.0212256 + 0.0102217i
\(236\) 7.40150 + 18.8587i 0.481797 + 1.22760i
\(237\) 1.02306 + 2.45245i 0.0664546 + 0.159304i
\(238\) 1.47953 + 1.98267i 0.0959038 + 0.128517i
\(239\) −0.803510 10.7221i −0.0519748 0.693555i −0.960953 0.276711i \(-0.910755\pi\)
0.908978 0.416843i \(-0.136864\pi\)
\(240\) 2.96292 3.88147i 0.191255 0.250548i
\(241\) 16.0536 + 14.8955i 1.03410 + 0.959505i 0.999204 0.0398857i \(-0.0126994\pi\)
0.0348965 + 0.999391i \(0.488890\pi\)
\(242\) −12.9874 + 6.25439i −0.834860 + 0.402048i
\(243\) −1.84065 + 15.4794i −0.118078 + 0.993004i
\(244\) −18.1701 −1.16322
\(245\) −4.30759 0.277045i −0.275202 0.0176997i
\(246\) −25.5689 + 12.9884i −1.63022 + 0.828111i
\(247\) 6.51572 16.6018i 0.414585 1.05635i
\(248\) −3.33444 2.27339i −0.211737 0.144360i
\(249\) −10.1599 2.89943i −0.643859 0.183744i
\(250\) −0.847406 + 11.3078i −0.0535947 + 0.715171i
\(251\) 2.34783 + 1.13065i 0.148194 + 0.0713663i 0.506511 0.862234i \(-0.330935\pi\)
−0.358317 + 0.933600i \(0.616649\pi\)
\(252\) −9.71663 8.83114i −0.612090 0.556310i
\(253\) 4.38314 2.11081i 0.275566 0.132705i
\(254\) −12.3693 31.5164i −0.776118 1.97752i
\(255\) −0.270747 0.446789i −0.0169548 0.0279790i
\(256\) 7.31746 18.6446i 0.457341 1.16529i
\(257\) 14.9169 13.8409i 0.930492 0.863370i −0.0603802 0.998175i \(-0.519231\pi\)
0.990872 + 0.134805i \(0.0430408\pi\)
\(258\) 2.14227 + 22.2447i 0.133372 + 1.38489i
\(259\) 9.33950 + 17.4473i 0.580328 + 1.08412i
\(260\) 2.35527 2.95342i 0.146068 0.183163i
\(261\) 0.944621 29.1614i 0.0584706 1.80505i
\(262\) −2.27662 9.97454i −0.140650 0.616229i
\(263\) −9.74587 + 16.8803i −0.600956 + 1.04089i 0.391720 + 0.920084i \(0.371880\pi\)
−0.992677 + 0.120802i \(0.961453\pi\)
\(264\) −0.114051 + 2.12614i −0.00701933 + 0.130855i
\(265\) −3.20405 + 2.97292i −0.196823 + 0.182625i
\(266\) −22.2735 + 9.85829i −1.36567 + 0.604451i
\(267\) −3.44955 13.7614i −0.211109 0.842181i
\(268\) 7.41492 + 6.88004i 0.452938 + 0.420265i
\(269\) 10.4814 13.1433i 0.639063 0.801359i −0.351823 0.936067i \(-0.614438\pi\)
0.990885 + 0.134707i \(0.0430094\pi\)
\(270\) 4.11571 + 4.53629i 0.250474 + 0.276070i
\(271\) 0.954745 4.18301i 0.0579966 0.254100i −0.937616 0.347673i \(-0.886972\pi\)
0.995612 + 0.0935734i \(0.0298290\pi\)
\(272\) −1.63932 1.52107i −0.0993986 0.0922284i
\(273\) 12.3134 + 11.6776i 0.745244 + 0.706763i
\(274\) −21.6762 + 20.1126i −1.30951 + 1.21505i
\(275\) −4.29617 7.44119i −0.259069 0.448721i
\(276\) 0.401444 7.48376i 0.0241641 0.450470i
\(277\) 4.27665 + 1.31917i 0.256959 + 0.0792614i 0.420558 0.907265i \(-0.361834\pi\)
−0.163599 + 0.986527i \(0.552310\pi\)
\(278\) 3.31411 + 1.59599i 0.198767 + 0.0957213i
\(279\) 12.8876 13.0176i 0.771559 0.779342i
\(280\) 1.07088 0.126396i 0.0639973 0.00755358i
\(281\) −3.92043 + 0.590910i −0.233874 + 0.0352508i −0.264933 0.964267i \(-0.585350\pi\)
0.0310597 + 0.999518i \(0.490112\pi\)
\(282\) −0.670009 + 1.81972i −0.0398985 + 0.108363i
\(283\) 9.86378 25.1325i 0.586341 1.49397i −0.262291 0.964989i \(-0.584478\pi\)
0.848632 0.528983i \(-0.177427\pi\)
\(284\) 0.307661 + 4.10545i 0.0182563 + 0.243614i
\(285\) 4.88197 1.62005i 0.289183 0.0959633i
\(286\) −0.983933 + 13.1297i −0.0581811 + 0.776373i
\(287\) −21.6703 7.45440i −1.27915 0.440019i
\(288\) 18.9020 + 11.7450i 1.11381 + 0.692081i
\(289\) 15.1009 7.27222i 0.888289 0.427777i
\(290\) −8.40393 7.79771i −0.493496 0.457897i
\(291\) −4.98999 11.9619i −0.292519 0.701221i
\(292\) −1.35582 + 3.45458i −0.0793435 + 0.202164i
\(293\) 10.8553 + 18.8019i 0.634172 + 1.09842i 0.986690 + 0.162613i \(0.0519923\pi\)
−0.352518 + 0.935805i \(0.614674\pi\)
\(294\) −0.736489 23.1653i −0.0429529 1.35103i
\(295\) 3.77593 6.54010i 0.219843 0.380779i
\(296\) −3.08236 3.86516i −0.179159 0.224658i
\(297\) −9.39748 2.25566i −0.545297 0.130887i
\(298\) 7.88751 34.5574i 0.456911 2.00186i
\(299\) −0.723862 + 9.65926i −0.0418620 + 0.558610i
\(300\) −13.2337 + 0.280719i −0.764050 + 0.0162073i
\(301\) −11.5765 + 13.5968i −0.667257 + 0.783709i
\(302\) −19.9995 13.6354i −1.15084 0.784629i
\(303\) −5.81487 5.17030i −0.334055 0.297026i
\(304\) 18.1926 12.4035i 1.04342 0.711389i
\(305\) 4.22299 + 5.29546i 0.241808 + 0.303217i
\(306\) 2.24859 1.67703i 0.128543 0.0958693i
\(307\) 14.7961 + 18.5537i 0.844458 + 1.05892i 0.997498 + 0.0706964i \(0.0225222\pi\)
−0.153040 + 0.988220i \(0.548906\pi\)
\(308\) 6.14200 5.34239i 0.349973 0.304411i
\(309\) −23.1345 + 7.67703i −1.31608 + 0.436731i
\(310\) −0.537877 7.17747i −0.0305494 0.407653i
\(311\) −17.6100 + 16.3397i −0.998570 + 0.926538i −0.997298 0.0734612i \(-0.976595\pi\)
−0.00127239 + 0.999999i \(0.500405\pi\)
\(312\) −3.55259 2.31330i −0.201126 0.130965i
\(313\) −7.59403 + 13.1532i −0.429240 + 0.743466i −0.996806 0.0798624i \(-0.974552\pi\)
0.567566 + 0.823328i \(0.307885\pi\)
\(314\) −1.95709 8.57457i −0.110445 0.483891i
\(315\) −0.315448 + 4.88427i −0.0177735 + 0.275197i
\(316\) −0.564741 + 2.47429i −0.0317692 + 0.139190i
\(317\) 4.05552 + 3.76297i 0.227781 + 0.211349i 0.785804 0.618476i \(-0.212250\pi\)
−0.558023 + 0.829825i \(0.688440\pi\)
\(318\) −17.5385 15.5944i −0.983512 0.874491i
\(319\) 17.8867 + 2.69599i 1.00146 + 0.150946i
\(320\) 2.96758 0.915378i 0.165893 0.0511712i
\(321\) −7.74024 30.8783i −0.432018 1.72346i
\(322\) 9.98153 8.68207i 0.556249 0.483833i
\(323\) −0.524185 2.29661i −0.0291664 0.127787i
\(324\) −10.0165 + 11.0149i −0.556474 + 0.611941i
\(325\) 17.1079 0.948975
\(326\) −7.57515 2.33663i −0.419549 0.129414i
\(327\) 17.9058 0.379825i 0.990195 0.0210044i
\(328\) 5.66089 + 0.853242i 0.312570 + 0.0471124i
\(329\) −1.41695 + 0.627144i −0.0781187 + 0.0345756i
\(330\) −3.09148 + 2.20521i −0.170181 + 0.121393i
\(331\) −15.2645 4.70847i −0.839012 0.258801i −0.154674 0.987966i \(-0.549433\pi\)
−0.684338 + 0.729165i \(0.739909\pi\)
\(332\) −6.29160 7.88942i −0.345297 0.432988i
\(333\) 19.7862 10.5847i 1.08428 0.580038i
\(334\) 12.8584 16.1239i 0.703581 0.882263i
\(335\) 0.281773 3.76000i 0.0153949 0.205431i
\(336\) 4.43911 + 20.4757i 0.242173 + 1.11704i
\(337\) 0.704384 + 9.39935i 0.0383702 + 0.512015i 0.982967 + 0.183782i \(0.0588341\pi\)
−0.944597 + 0.328233i \(0.893547\pi\)
\(338\) −1.12729 0.768570i −0.0613162 0.0418047i
\(339\) 8.08546 7.82779i 0.439142 0.425147i
\(340\) 0.0372870 0.497560i 0.00202217 0.0269840i
\(341\) 7.08072 + 8.87895i 0.383443 + 0.480822i
\(342\) 11.1715 + 25.2587i 0.604085 + 1.36583i
\(343\) 12.8865 13.3018i 0.695804 0.718232i
\(344\) 2.23051 3.86335i 0.120261 0.208298i
\(345\) −2.27435 + 1.62233i −0.122447 + 0.0873434i
\(346\) 4.17925 + 2.84937i 0.224678 + 0.153183i
\(347\) 8.31347 2.56436i 0.446290 0.137662i −0.0634607 0.997984i \(-0.520214\pi\)
0.509751 + 0.860322i \(0.329738\pi\)
\(348\) 16.9083 22.1502i 0.906381 1.18738i
\(349\) 10.8831 7.41994i 0.582556 0.397180i −0.235876 0.971783i \(-0.575796\pi\)
0.818432 + 0.574603i \(0.194843\pi\)
\(350\) −16.6087 16.4340i −0.887772 0.878435i
\(351\) 13.2449 13.9586i 0.706963 0.745054i
\(352\) −8.60210 + 10.7867i −0.458493 + 0.574932i
\(353\) 2.68088 1.82779i 0.142689 0.0972837i −0.489872 0.871795i \(-0.662956\pi\)
0.632561 + 0.774511i \(0.282004\pi\)
\(354\) 36.8983 + 16.8148i 1.96112 + 0.893697i
\(355\) 1.12498 1.04383i 0.0597076 0.0554005i
\(356\) 4.95032 12.6132i 0.262366 0.668498i
\(357\) 2.21268 + 0.358226i 0.117108 + 0.0189593i
\(358\) −5.92074 15.0858i −0.312921 0.797310i
\(359\) −9.69350 4.66814i −0.511603 0.246375i 0.160227 0.987080i \(-0.448777\pi\)
−0.671830 + 0.740705i \(0.734492\pi\)
\(360\) −0.142994 1.21430i −0.00753643 0.0639993i
\(361\) 4.19385 0.220729
\(362\) −23.6219 + 40.9143i −1.24154 + 2.15041i
\(363\) −4.51277 + 12.2565i −0.236859 + 0.643300i
\(364\) 3.09739 + 15.9092i 0.162347 + 0.833870i
\(365\) 1.32191 0.407754i 0.0691917 0.0213428i
\(366\) −26.1289 + 25.2962i −1.36578 + 1.32225i
\(367\) 9.23051 + 23.5190i 0.481829 + 1.22768i 0.940719 + 0.339187i \(0.110152\pi\)
−0.458890 + 0.888493i \(0.651753\pi\)
\(368\) −7.45614 + 9.34970i −0.388678 + 0.487387i
\(369\) −8.45908 + 24.5695i −0.440362 + 1.27904i
\(370\) 1.96198 8.59599i 0.101998 0.446884i
\(371\) −0.800272 18.7363i −0.0415481 0.972742i
\(372\) 17.2405 2.97381i 0.893879 0.154185i
\(373\) −5.88537 10.1938i −0.304733 0.527813i 0.672469 0.740125i \(-0.265234\pi\)
−0.977202 + 0.212312i \(0.931901\pi\)
\(374\) 0.869540 + 1.50609i 0.0449629 + 0.0778779i
\(375\) 6.57492 + 7.89521i 0.339527 + 0.407707i
\(376\) 0.319830 0.218056i 0.0164940 0.0112454i
\(377\) −22.4555 + 28.1583i −1.15652 + 1.45023i
\(378\) −26.2672 + 0.828060i −1.35104 + 0.0425908i
\(379\) 3.85642 + 4.83579i 0.198091 + 0.248398i 0.870949 0.491374i \(-0.163505\pi\)
−0.672858 + 0.739772i \(0.734934\pi\)
\(380\) 4.69444 + 1.44804i 0.240820 + 0.0742831i
\(381\) −27.9147 12.7209i −1.43012 0.651714i
\(382\) −2.54358 33.9418i −0.130141 1.73661i
\(383\) −10.0781 1.51904i −0.514969 0.0776191i −0.113584 0.993528i \(-0.536233\pi\)
−0.401385 + 0.915909i \(0.631471\pi\)
\(384\) −3.47325 8.32601i −0.177243 0.424885i
\(385\) −2.98446 0.548364i −0.152102 0.0279472i
\(386\) 14.2619 + 6.86816i 0.725911 + 0.349580i
\(387\) 15.4138 + 13.1306i 0.783530 + 0.667467i
\(388\) 2.75455 12.0685i 0.139841 0.612683i
\(389\) −1.78038 + 23.7575i −0.0902689 + 1.20455i 0.749647 + 0.661838i \(0.230223\pi\)
−0.839916 + 0.542717i \(0.817396\pi\)
\(390\) −0.724795 7.52603i −0.0367014 0.381095i
\(391\) 0.639705 + 1.10800i 0.0323513 + 0.0560341i
\(392\) −2.56569 + 3.85001i −0.129587 + 0.194455i
\(393\) −7.76829 5.05839i −0.391859 0.255162i
\(394\) −4.57118 + 0.688994i −0.230293 + 0.0347110i
\(395\) 0.852355 0.410473i 0.0428866 0.0206531i
\(396\) −6.05583 6.96599i −0.304317 0.350054i
\(397\) −8.99993 + 4.33414i −0.451694 + 0.217524i −0.645878 0.763441i \(-0.723508\pi\)
0.194184 + 0.980965i \(0.437794\pi\)
\(398\) −15.2656 + 10.4079i −0.765197 + 0.521702i
\(399\) −8.28649 + 20.4549i −0.414844 + 1.02403i
\(400\) 17.4513 + 11.8981i 0.872563 + 0.594903i
\(401\) −8.89253 1.34033i −0.444072 0.0669330i −0.0767995 0.997047i \(-0.524470\pi\)
−0.367272 + 0.930114i \(0.619708\pi\)
\(402\) 20.2410 0.429360i 1.00953 0.0214145i
\(403\) −22.3591 + 3.37010i −1.11379 + 0.167876i
\(404\) −1.65367 7.24521i −0.0822732 0.360463i
\(405\) 5.53814 + 0.359169i 0.275193 + 0.0178472i
\(406\) 48.8494 5.76568i 2.42436 0.286146i
\(407\) 5.08257 + 12.9502i 0.251933 + 0.641916i
\(408\) −0.559826 + 0.0118752i −0.0277155 + 0.000587911i
\(409\) −21.4485 + 19.9013i −1.06056 + 0.984057i −0.999901 0.0141010i \(-0.995511\pi\)
−0.0606611 + 0.998158i \(0.519321\pi\)
\(410\) 5.10508 + 8.84225i 0.252122 + 0.436688i
\(411\) −1.43513 + 26.7539i −0.0707898 + 1.31967i
\(412\) −22.2459 6.86195i −1.09598 0.338064i
\(413\) 10.8632 + 30.5266i 0.534542 + 1.50211i
\(414\) −9.84150 11.3206i −0.483684 0.556379i
\(415\) −0.837019 + 3.66722i −0.0410876 + 0.180017i
\(416\) −10.0359 25.5712i −0.492052 1.25373i
\(417\) 3.16326 1.04970i 0.154905 0.0514042i
\(418\) −16.3622 + 5.04708i −0.800302 + 0.246861i
\(419\) 7.49618 2.31227i 0.366212 0.112962i −0.106187 0.994346i \(-0.533864\pi\)
0.472399 + 0.881385i \(0.343388\pi\)
\(420\) −2.95424 + 3.62274i −0.144152 + 0.176772i
\(421\) 17.3345 + 5.34700i 0.844834 + 0.260597i 0.686809 0.726838i \(-0.259011\pi\)
0.158025 + 0.987435i \(0.449487\pi\)
\(422\) 18.0387 0.878108
\(423\) 0.710684 + 1.60686i 0.0345546 + 0.0781280i
\(424\) 1.04247 + 4.56737i 0.0506270 + 0.221811i
\(425\) 1.86703 1.27292i 0.0905644 0.0617457i
\(426\) 6.15797 + 5.47537i 0.298355 + 0.265282i
\(427\) −29.0457 0.933080i −1.40562 0.0451549i
\(428\) 11.1077 28.3020i 0.536911 1.36803i
\(429\) 7.63421 + 9.16721i 0.368583 + 0.442597i
\(430\) 7.86728 1.18580i 0.379394 0.0571845i
\(431\) −26.0438 12.5420i −1.25448 0.604128i −0.315774 0.948835i \(-0.602264\pi\)
−0.938710 + 0.344707i \(0.887978\pi\)
\(432\) 23.2186 5.02725i 1.11710 0.241874i
\(433\) −9.86310 + 4.74982i −0.473990 + 0.228262i −0.655599 0.755109i \(-0.727584\pi\)
0.181609 + 0.983371i \(0.441870\pi\)
\(434\) 24.9441 + 18.2067i 1.19735 + 0.873948i
\(435\) −10.3851 + 0.220293i −0.497928 + 0.0105622i
\(436\) 14.1331 + 9.63580i 0.676854 + 0.461471i
\(437\) −12.0374 + 3.71305i −0.575827 + 0.177619i
\(438\) 2.85973 + 6.85529i 0.136643 + 0.327558i
\(439\) 41.3597 6.23397i 1.97399 0.297531i 0.977917 0.208995i \(-0.0670192\pi\)
0.996073 0.0885363i \(-0.0282189\pi\)
\(440\) 0.758034 0.0361379
\(441\) −15.0789 14.6159i −0.718045 0.695997i
\(442\) −3.46262 −0.164700
\(443\) −38.1930 + 5.75667i −1.81460 + 0.273508i −0.966564 0.256424i \(-0.917456\pi\)
−0.848040 + 0.529932i \(0.822217\pi\)
\(444\) 21.2551 + 2.74405i 1.00872 + 0.130227i
\(445\) −4.82648 + 1.48877i −0.228797 + 0.0705746i
\(446\) −17.2193 11.7399i −0.815356 0.555900i
\(447\) −16.6446 27.4671i −0.787262 1.29915i
\(448\) −5.26378 + 12.2408i −0.248690 + 0.578326i
\(449\) −14.0528 + 6.76747i −0.663192 + 0.319376i −0.735025 0.678040i \(-0.762830\pi\)
0.0718327 + 0.997417i \(0.477115\pi\)
\(450\) −18.6395 + 18.8275i −0.878673 + 0.887537i
\(451\) −14.5145 6.98983i −0.683462 0.329138i
\(452\) 10.6283 1.60196i 0.499913 0.0753497i
\(453\) −21.6126 + 3.72796i −1.01545 + 0.175155i
\(454\) −11.6624 + 29.7152i −0.547342 + 1.39460i
\(455\) 3.91667 4.60021i 0.183616 0.215661i
\(456\) 1.11255 5.39985i 0.0521000 0.252871i
\(457\) −28.0596 + 19.1307i −1.31257 + 0.894896i −0.998513 0.0545085i \(-0.982641\pi\)
−0.314057 + 0.949404i \(0.601688\pi\)
\(458\) −4.13408 18.1126i −0.193173 0.846347i
\(459\) 0.406862 2.50884i 0.0189907 0.117102i
\(460\) −2.66819 −0.124405
\(461\) 13.2047 + 4.07310i 0.615002 + 0.189703i 0.586578 0.809893i \(-0.300475\pi\)
0.0284245 + 0.999596i \(0.490951\pi\)
\(462\) 1.39467 16.2332i 0.0648860 0.755238i
\(463\) 16.6216 5.12709i 0.772472 0.238276i 0.116631 0.993175i \(-0.462790\pi\)
0.655841 + 0.754899i \(0.272314\pi\)
\(464\) −42.4895 + 13.1063i −1.97253 + 0.608443i
\(465\) −4.87361 4.33338i −0.226008 0.200956i
\(466\) 12.7398 + 32.4604i 0.590158 + 1.50370i
\(467\) −0.604007 + 2.64633i −0.0279501 + 0.122458i −0.986978 0.160853i \(-0.948576\pi\)
0.959028 + 0.283310i \(0.0914327\pi\)
\(468\) 18.0403 3.50727i 0.833913 0.162124i
\(469\) 11.4998 + 11.3788i 0.531009 + 0.525425i
\(470\) 0.659701 + 0.203491i 0.0304297 + 0.00938633i
\(471\) −6.67798 4.34843i −0.307705 0.200365i
\(472\) −4.04719 7.00993i −0.186287 0.322658i
\(473\) −9.20234 + 8.53853i −0.423124 + 0.392602i
\(474\) 2.63257 + 4.34429i 0.120918 + 0.199540i
\(475\) 8.12837 + 20.7108i 0.372955 + 0.950275i
\(476\) 1.52176 + 1.50576i 0.0697498 + 0.0690162i
\(477\) −21.2453 + 0.901729i −0.972753 + 0.0412873i
\(478\) −4.57368 20.0386i −0.209195 0.916544i
\(479\) 41.2881 6.22318i 1.88650 0.284344i 0.898522 0.438928i \(-0.144642\pi\)
0.987980 + 0.154584i \(0.0494036\pi\)
\(480\) 3.81497 6.94376i 0.174129 0.316938i
\(481\) −27.3899 4.12837i −1.24887 0.188237i
\(482\) 34.5893 + 23.5826i 1.57550 + 1.07416i
\(483\) 1.02603 11.9425i 0.0466862 0.543402i
\(484\) −10.3067 + 7.02698i −0.468486 + 0.319408i
\(485\) −4.15739 + 2.00210i −0.188777 + 0.0909105i
\(486\) 0.930950 + 29.7845i 0.0422287 + 1.35105i
\(487\) −23.9226 + 11.5205i −1.08404 + 0.522044i −0.888605 0.458673i \(-0.848325\pi\)
−0.195431 + 0.980717i \(0.562611\pi\)
\(488\) 7.17864 1.08201i 0.324962 0.0489801i
\(489\) −6.40386 + 3.25301i −0.289593 + 0.147106i
\(490\) −8.22140 + 0.703593i −0.371405 + 0.0317851i
\(491\) 10.9074 + 18.8922i 0.492245 + 0.852593i 0.999960 0.00893167i \(-0.00284308\pi\)
−0.507715 + 0.861525i \(0.669510\pi\)
\(492\) −20.2042 + 14.4120i −0.910878 + 0.649745i
\(493\) −0.355499 + 4.74381i −0.0160109 + 0.213650i
\(494\) 7.58637 33.2381i 0.341327 1.49545i
\(495\) −0.622693 + 3.38389i −0.0279880 + 0.152094i
\(496\) −25.1517 12.1124i −1.12934 0.543864i
\(497\) 0.280984 + 6.57853i 0.0126039 + 0.295088i
\(498\) −20.0309 2.58601i −0.897608 0.115882i
\(499\) 13.3588 + 2.01351i 0.598021 + 0.0901372i 0.441076 0.897470i \(-0.354597\pi\)
0.156946 + 0.987607i \(0.449835\pi\)
\(500\) 0.733320 + 9.78547i 0.0327951 + 0.437620i
\(501\) −1.79128 18.6001i −0.0800286 0.830991i
\(502\) 4.76014 + 1.46831i 0.212455 + 0.0655338i
\(503\) 19.3145 + 24.2196i 0.861191 + 1.07990i 0.996029 + 0.0890312i \(0.0283771\pi\)
−0.134838 + 0.990868i \(0.543051\pi\)
\(504\) 4.36472 + 2.91039i 0.194420 + 0.129639i
\(505\) −1.72719 + 2.16583i −0.0768589 + 0.0963780i
\(506\) 7.68387 5.23877i 0.341590 0.232892i
\(507\) −1.21821 + 0.210129i −0.0541028 + 0.00933216i
\(508\) −14.6493 25.3734i −0.649959 1.12576i
\(509\) 2.09674 + 3.63167i 0.0929365 + 0.160971i 0.908746 0.417351i \(-0.137041\pi\)
−0.815809 + 0.578321i \(0.803708\pi\)
\(510\) −0.639077 0.767408i −0.0282988 0.0339814i
\(511\) −2.34474 + 5.45267i −0.103725 + 0.241212i
\(512\) 6.20184 27.1720i 0.274085 1.20085i
\(513\) 23.1912 + 9.40222i 1.02392 + 0.415118i
\(514\) 24.2534 30.4128i 1.06977 1.34145i
\(515\) 3.17042 + 8.07809i 0.139705 + 0.355963i
\(516\) 4.70219 + 18.7585i 0.207003 + 0.825799i
\(517\) −1.04090 + 0.321074i −0.0457786 + 0.0141208i
\(518\) 22.6250 + 30.3190i 0.994085 + 1.33214i
\(519\) 4.51636 0.779024i 0.198246 0.0341954i
\(520\) −0.754646 + 1.30709i −0.0330934 + 0.0573195i
\(521\) 6.38370 0.279675 0.139838 0.990174i \(-0.455342\pi\)
0.139838 + 0.990174i \(0.455342\pi\)
\(522\) −6.52283 55.3918i −0.285496 2.42443i
\(523\) −7.46499 3.59495i −0.326421 0.157196i 0.263495 0.964661i \(-0.415125\pi\)
−0.589916 + 0.807465i \(0.700839\pi\)
\(524\) −3.23460 8.24163i −0.141304 0.360037i
\(525\) −21.1691 0.230844i −0.923896 0.0100748i
\(526\) −13.6128 + 34.6849i −0.593547 + 1.51233i
\(527\) −2.18936 + 2.03143i −0.0953701 + 0.0884905i
\(528\) 1.41189 + 14.6606i 0.0614446 + 0.638020i
\(529\) −13.3506 + 9.10229i −0.580461 + 0.395752i
\(530\) −5.20946 + 6.53246i −0.226285 + 0.283752i
\(531\) 34.6172 12.3084i 1.50226 0.534139i
\(532\) −17.7880 + 11.3085i −0.771208 + 0.490287i
\(533\) 26.5023 18.0690i 1.14794 0.782653i
\(534\) −10.4413 25.0297i −0.451839 1.08314i
\(535\) −10.8298 + 3.34056i −0.468215 + 0.144425i
\(536\) −3.33917 2.27661i −0.144230 0.0983346i
\(537\) −13.3618 6.08907i −0.576605 0.262763i
\(538\) 16.0679 27.8304i 0.692737 1.19986i
\(539\) 10.0926 8.22463i 0.434719 0.354260i
\(540\) 4.10691 + 3.35089i 0.176733 + 0.144199i
\(541\) 22.6587 + 28.4131i 0.974173 + 1.22157i 0.975143 + 0.221575i \(0.0711197\pi\)
−0.000970228 1.00000i \(0.500309\pi\)
\(542\) 0.612930 8.17899i 0.0263276 0.351318i
\(543\) 10.4082 + 41.5215i 0.446658 + 1.78186i
\(544\) −2.99789 2.04392i −0.128533 0.0876325i
\(545\) −0.476497 6.35841i −0.0204109 0.272365i
\(546\) 26.6027 + 18.5655i 1.13849 + 0.794531i
\(547\) −1.05434 + 14.0692i −0.0450803 + 0.601555i 0.928222 + 0.372027i \(0.121337\pi\)
−0.973302 + 0.229528i \(0.926282\pi\)
\(548\) −15.9544 + 20.0062i −0.681538 + 0.854621i
\(549\) −1.06684 + 32.9345i −0.0455316 + 1.40561i
\(550\) −10.2409 12.8417i −0.436676 0.547574i
\(551\) −44.7575 13.8059i −1.90673 0.588149i
\(552\) 0.287045 + 2.98058i 0.0122175 + 0.126862i
\(553\) −1.02982 + 3.92626i −0.0437926 + 0.166962i
\(554\) 8.45982 + 1.27511i 0.359423 + 0.0541744i
\(555\) −4.14026 6.83229i −0.175744 0.290015i
\(556\) 3.04175 + 0.938255i 0.128999 + 0.0397909i
\(557\) 41.9482 1.77740 0.888700 0.458489i \(-0.151609\pi\)
0.888700 + 0.458489i \(0.151609\pi\)
\(558\) 20.6520 28.2784i 0.874268 1.19712i
\(559\) −5.56185 24.3681i −0.235241 1.03066i
\(560\) 7.19460 1.96861i 0.304027 0.0831889i
\(561\) 1.51523 + 0.432417i 0.0639732 + 0.0182567i
\(562\) −7.24228 + 2.23395i −0.305497 + 0.0942333i
\(563\) 31.3578 + 4.72642i 1.32157 + 0.199195i 0.771664 0.636030i \(-0.219425\pi\)
0.549908 + 0.835225i \(0.314663\pi\)
\(564\) −0.338628 + 1.64356i −0.0142588 + 0.0692063i
\(565\) −2.93703 2.72516i −0.123562 0.114649i
\(566\) 11.4846 50.3172i 0.482733 2.11499i
\(567\) −16.5775 + 17.0935i −0.696189 + 0.717859i
\(568\) −0.366024 1.60366i −0.0153580 0.0672879i
\(569\) 6.60127 11.4337i 0.276740 0.479327i −0.693833 0.720136i \(-0.744079\pi\)
0.970573 + 0.240809i \(0.0774127\pi\)
\(570\) 8.76662 4.45323i 0.367193 0.186525i
\(571\) 32.3140 29.9830i 1.35230 1.25475i 0.413400 0.910550i \(-0.364341\pi\)
0.938897 0.344198i \(-0.111849\pi\)
\(572\) 0.851466 + 11.3620i 0.0356016 + 0.475070i
\(573\) −23.0470 20.4922i −0.962801 0.856076i
\(574\) −43.0862 7.91666i −1.79838 0.330435i
\(575\) −7.53408 9.44744i −0.314193 0.393986i
\(576\) 13.8782 + 5.97228i 0.578259 + 0.248845i
\(577\) 7.28937 + 9.14058i 0.303460 + 0.380527i 0.910057 0.414482i \(-0.136037\pi\)
−0.606597 + 0.795009i \(0.707466\pi\)
\(578\) 26.4727 18.0488i 1.10112 0.750730i
\(579\) 13.6127 4.51727i 0.565724 0.187731i
\(580\) −8.19700 5.58862i −0.340362 0.232055i
\(581\) −9.65226 12.9347i −0.400443 0.536620i
\(582\) −12.8405 21.1894i −0.532254 0.878330i
\(583\) 0.985190 13.1464i 0.0408024 0.544470i
\(584\) 0.329942 1.44557i 0.0136531 0.0598180i
\(585\) −5.21496 4.44248i −0.215612 0.183674i
\(586\) 25.8761 + 32.4476i 1.06893 + 1.34040i
\(587\) −2.26907 + 3.93014i −0.0936543 + 0.162214i −0.909046 0.416695i \(-0.863188\pi\)
0.815392 + 0.578909i \(0.196522\pi\)
\(588\) −3.61800 19.7277i −0.149204 0.813556i
\(589\) −14.7032 25.4667i −0.605835 1.04934i
\(590\) 5.27413 13.4383i 0.217133 0.553245i
\(591\) −2.54151 + 3.32942i −0.104544 + 0.136954i
\(592\) −25.0685 23.2602i −1.03031 0.955987i
\(593\) 7.46111 3.59308i 0.306391 0.147550i −0.274370 0.961624i \(-0.588469\pi\)
0.580761 + 0.814074i \(0.302755\pi\)
\(594\) −18.4063 1.58634i −0.755221 0.0650884i
\(595\) 0.0851557 0.793456i 0.00349104 0.0325285i
\(596\) 2.29227 30.5883i 0.0938952 1.25294i
\(597\) −3.37817 + 16.3962i −0.138259 + 0.671052i
\(598\) 1.38374 + 18.4647i 0.0565854 + 0.755079i
\(599\) −17.6280 + 44.9155i −0.720262 + 1.83520i −0.203487 + 0.979078i \(0.565227\pi\)
−0.516776 + 0.856121i \(0.672868\pi\)
\(600\) 5.21165 0.898956i 0.212765 0.0366997i
\(601\) −28.5079 + 4.29687i −1.16286 + 0.175273i −0.701985 0.712192i \(-0.747702\pi\)
−0.460875 + 0.887465i \(0.652464\pi\)
\(602\) −18.0086 + 28.9998i −0.733978 + 1.18194i
\(603\) 12.9058 13.0360i 0.525567 0.530869i
\(604\) −18.8723 9.08841i −0.767902 0.369802i
\(605\) 4.44334 + 1.37059i 0.180647 + 0.0557224i
\(606\) −12.4647 8.11648i −0.506343 0.329710i
\(607\) −8.01122 13.8758i −0.325165 0.563203i 0.656381 0.754430i \(-0.272087\pi\)
−0.981546 + 0.191227i \(0.938753\pi\)
\(608\) 26.1880 24.2989i 1.06207 0.985452i
\(609\) 28.1661 34.5398i 1.14135 1.39962i
\(610\) 9.49127 + 8.80661i 0.384290 + 0.356569i
\(611\) 0.482614 2.11447i 0.0195245 0.0855423i
\(612\) 1.70783 1.72506i 0.0690349 0.0697313i
\(613\) −12.2193 + 15.3225i −0.493533 + 0.618871i −0.964757 0.263143i \(-0.915241\pi\)
0.471224 + 0.882014i \(0.343812\pi\)
\(614\) 33.2546 + 30.8557i 1.34205 + 1.24524i
\(615\) 8.89595 + 2.53872i 0.358719 + 0.102371i
\(616\) −2.10844 + 2.47641i −0.0849515 + 0.0997775i
\(617\) 7.88432 7.31558i 0.317411 0.294514i −0.505336 0.862923i \(-0.668631\pi\)
0.822746 + 0.568409i \(0.192441\pi\)
\(618\) −41.5430 + 21.1028i −1.67110 + 0.848881i
\(619\) 12.0083 20.7989i 0.482653 0.835979i −0.517149 0.855896i \(-0.673007\pi\)
0.999802 + 0.0199162i \(0.00633996\pi\)
\(620\) −1.38599 6.07242i −0.0556627 0.243874i
\(621\) −13.5412 1.16704i −0.543390 0.0468318i
\(622\) −28.6321 + 35.9035i −1.14804 + 1.43960i
\(623\) 8.56101 19.9085i 0.342990 0.797618i
\(624\) −26.6850 12.1605i −1.06825 0.486811i
\(625\) −14.2512 + 13.2232i −0.570047 + 0.528926i
\(626\) −10.6072 + 27.0267i −0.423948 + 1.08020i
\(627\) −7.47060 + 13.5975i −0.298347 + 0.543032i
\(628\) −2.78061 7.08488i −0.110958 0.282717i
\(629\) −3.29632 + 1.58742i −0.131433 + 0.0632947i
\(630\) 0.795301 + 9.32240i 0.0316855 + 0.371413i
\(631\) −25.9006 12.4731i −1.03109 0.496546i −0.159713 0.987164i \(-0.551057\pi\)
−0.871375 + 0.490618i \(0.836771\pi\)
\(632\) 0.0757767 1.01117i 0.00301424 0.0402222i
\(633\) 11.7427 11.3685i 0.466732 0.451858i
\(634\) 8.73808 + 5.95752i 0.347034 + 0.236603i
\(635\) −3.99005 + 10.1665i −0.158340 + 0.403445i
\(636\) −17.0191 11.0821i −0.674852 0.439436i
\(637\) 4.13433 + 25.5906i 0.163808 + 1.01394i
\(638\) 34.5786 1.36898
\(639\) 7.45944 0.316607i 0.295091 0.0125248i
\(640\) −2.89372 + 1.39354i −0.114384 + 0.0550846i
\(641\) −16.5346 15.3419i −0.653079 0.605968i 0.282423 0.959290i \(-0.408862\pi\)
−0.935502 + 0.353322i \(0.885052\pi\)
\(642\) −23.4286 56.1626i −0.924652 2.21656i
\(643\) −1.34822 17.9907i −0.0531685 0.709485i −0.958557 0.284901i \(-0.908039\pi\)
0.905388 0.424584i \(-0.139580\pi\)
\(644\) 7.42146 8.71667i 0.292446 0.343485i
\(645\) 4.37409 5.73014i 0.172230 0.225624i
\(646\) −1.64517 4.19183i −0.0647284 0.164925i
\(647\) −10.1263 4.87658i −0.398106 0.191718i 0.224109 0.974564i \(-0.428053\pi\)
−0.622215 + 0.782846i \(0.713767\pi\)
\(648\) 3.30139 4.94824i 0.129691 0.194385i
\(649\) 5.06856 + 22.2068i 0.198958 + 0.871693i
\(650\) 32.3383 4.87422i 1.26841 0.191183i
\(651\) 27.7124 3.86842i 1.08614 0.151615i
\(652\) −6.78346 1.02244i −0.265661 0.0400419i
\(653\) −0.163850 2.18643i −0.00641196 0.0855616i 0.993080 0.117442i \(-0.0374695\pi\)
−0.999492 + 0.0318805i \(0.989850\pi\)
\(654\) 33.7384 5.81953i 1.31928 0.227562i
\(655\) −1.65015 + 2.85815i −0.0644768 + 0.111677i
\(656\) 39.6006 1.54615
\(657\) 6.18203 + 2.66034i 0.241184 + 0.103790i
\(658\) −2.49971 + 1.58917i −0.0974490 + 0.0619522i
\(659\) −24.9644 23.1636i −0.972475 0.902325i 0.0227691 0.999741i \(-0.492752\pi\)
−0.995244 + 0.0974162i \(0.968942\pi\)
\(660\) −2.36098 + 2.28574i −0.0919009 + 0.0889721i
\(661\) 49.7138 + 7.49315i 1.93364 + 0.291450i 0.998092 0.0617407i \(-0.0196652\pi\)
0.935551 + 0.353191i \(0.114903\pi\)
\(662\) −30.1953 4.55121i −1.17357 0.176888i
\(663\) −2.25408 + 2.18225i −0.0875413 + 0.0847515i
\(664\) 2.95548 + 2.74229i 0.114695 + 0.106421i
\(665\) 7.42991 + 2.55583i 0.288119 + 0.0991109i
\(666\) 34.3854 25.6451i 1.33241 0.993727i
\(667\) 25.4389 0.984997
\(668\) 8.92339 15.4558i 0.345256 0.598002i
\(669\) −18.6082 + 3.20972i −0.719434 + 0.124095i
\(670\) −0.538640 7.18765i −0.0208095 0.277683i
\(671\) −20.2010 3.04481i −0.779850 0.117544i
\(672\) 12.0733 + 31.7769i 0.465738 + 1.22582i
\(673\) 48.4940 7.30929i 1.86931 0.281752i 0.885996 0.463694i \(-0.153476\pi\)
0.983309 + 0.181941i \(0.0582380\pi\)
\(674\) 4.00944 + 17.5665i 0.154438 + 0.676636i
\(675\) −0.268185 + 24.0034i −0.0103225 + 0.923893i
\(676\) −1.06375 0.512275i −0.0409135 0.0197029i
\(677\) −5.69910 14.5211i −0.219034 0.558090i 0.778548 0.627585i \(-0.215956\pi\)
−0.997582 + 0.0694951i \(0.977861\pi\)
\(678\) 13.0534 17.1002i 0.501312 0.656729i
\(679\) 5.02300 19.1505i 0.192765 0.734928i
\(680\) 0.0148977 + 0.198796i 0.000571300 + 0.00762347i
\(681\) 11.1355 + 26.6939i 0.426714 + 1.02291i
\(682\) 15.9141 + 14.7661i 0.609382 + 0.565424i
\(683\) −39.1683 + 18.8625i −1.49873 + 0.721753i −0.990248 0.139317i \(-0.955509\pi\)
−0.508487 + 0.861070i \(0.669795\pi\)
\(684\) 12.8173 + 20.1731i 0.490081 + 0.771339i
\(685\) 9.53856 0.364450
\(686\) 20.5689 28.8154i 0.785325 1.10018i
\(687\) −14.1063 9.18546i −0.538190 0.350447i
\(688\) 11.2738 28.7252i 0.429811 1.09514i
\(689\) 21.6878 + 14.7865i 0.826238 + 0.563319i
\(690\) −3.83689 + 3.71461i −0.146068 + 0.141413i
\(691\) 2.78029 37.1004i 0.105767 1.41137i −0.651691 0.758484i \(-0.725940\pi\)
0.757459 0.652883i \(-0.226441\pi\)
\(692\) 3.94371 + 1.89919i 0.149917 + 0.0721963i
\(693\) −9.32279 11.4464i −0.354143 0.434813i
\(694\) 14.9840 7.21591i 0.568784 0.273912i
\(695\) −0.433501 1.10454i −0.0164436 0.0418977i
\(696\) −5.36110 + 9.75794i −0.203212 + 0.369874i
\(697\) 1.54784 3.94383i 0.0586286 0.149383i
\(698\) 18.4578 17.1263i 0.698636 0.648240i
\(699\) 28.7508 + 13.1020i 1.08746 + 0.495562i
\(700\) −16.3317 11.9205i −0.617282 0.450554i
\(701\) 15.6218 19.5891i 0.590026 0.739870i −0.393760 0.919213i \(-0.628826\pi\)
0.983786 + 0.179344i \(0.0573974\pi\)
\(702\) 21.0594 30.1589i 0.794836 1.13828i
\(703\) −8.01583 35.1197i −0.302323 1.32456i
\(704\) −4.68349 + 8.11203i −0.176515 + 0.305734i
\(705\) 0.557696 0.283296i 0.0210041 0.0106696i
\(706\) 4.54680 4.21881i 0.171121 0.158777i
\(707\) −2.27140 11.6667i −0.0854250 0.438771i
\(708\) 33.7428 + 9.62949i 1.26813 + 0.361898i
\(709\) 11.6644 + 10.8230i 0.438066 + 0.406466i 0.868134 0.496331i \(-0.165320\pi\)
−0.430067 + 0.902797i \(0.641510\pi\)
\(710\) 1.82910 2.29362i 0.0686449 0.0860780i
\(711\) 4.45165 + 1.16890i 0.166950 + 0.0438373i
\(712\) −1.20467 + 5.27799i −0.0451468 + 0.197801i
\(713\) 11.7077 + 10.8632i 0.438458 + 0.406829i
\(714\) 4.28460 + 0.0467225i 0.160347 + 0.00174854i
\(715\) 3.11343 2.88884i 0.116436 0.108036i
\(716\) −7.01212 12.1454i −0.262055 0.453893i
\(717\) −15.6063 10.1622i −0.582828 0.379514i
\(718\) −19.6532 6.06222i −0.733452 0.226240i
\(719\) 6.32834 + 3.04757i 0.236007 + 0.113655i 0.548150 0.836380i \(-0.315332\pi\)
−0.312143 + 0.950035i \(0.601047\pi\)
\(720\) −2.23001 8.15850i −0.0831074 0.304049i
\(721\) −35.2086 12.1115i −1.31124 0.451056i
\(722\) 7.92745 1.19487i 0.295029 0.0444685i
\(723\) 37.3793 6.44754i 1.39015 0.239786i
\(724\) −14.9364 + 38.0572i −0.555106 + 1.41439i
\(725\) −3.35761 44.8041i −0.124698 1.66398i
\(726\) −5.03829 + 24.4537i −0.186988 + 0.907562i
\(727\) 3.63643 48.5248i 0.134868 1.79969i −0.362331 0.932050i \(-0.618019\pi\)
0.497199 0.867637i \(-0.334362\pi\)
\(728\) −2.17108 6.10095i −0.0804657 0.226116i
\(729\) 19.3771 + 18.8023i 0.717672 + 0.696381i
\(730\) 2.38257 1.14738i 0.0881828 0.0424666i
\(731\) −2.42010 2.24552i −0.0895105 0.0830537i
\(732\) −19.0960 + 25.0161i −0.705808 + 0.924622i
\(733\) −9.39652 + 23.9419i −0.347068 + 0.884316i 0.645625 + 0.763654i \(0.276597\pi\)
−0.992694 + 0.120662i \(0.961498\pi\)
\(734\) 24.1488 + 41.8270i 0.891350 + 1.54386i
\(735\) −4.90851 + 5.63940i −0.181053 + 0.208013i
\(736\) −9.70140 + 16.8033i −0.357598 + 0.619378i
\(737\) 7.09077 + 8.89154i 0.261192 + 0.327524i
\(738\) −8.98974 + 48.8528i −0.330917 + 1.79829i
\(739\) −3.73880 + 16.3807i −0.137534 + 0.602575i 0.858439 + 0.512916i \(0.171435\pi\)
−0.995973 + 0.0896591i \(0.971422\pi\)
\(740\) 0.570192 7.60868i 0.0209607 0.279701i
\(741\) −16.0091 26.4184i −0.588109 0.970503i
\(742\) −6.85090 35.1885i −0.251504 1.29181i
\(743\) 0.328202 + 0.223764i 0.0120406 + 0.00820911i 0.569325 0.822112i \(-0.307204\pi\)
−0.557285 + 0.830321i \(0.688157\pi\)
\(744\) −6.63428 + 2.20154i −0.243224 + 0.0807123i
\(745\) −9.44732 + 6.44107i −0.346123 + 0.235983i
\(746\) −14.0292 17.5920i −0.513645 0.644090i
\(747\) −14.6695 + 10.9407i −0.536728 + 0.400299i
\(748\) 0.938320 + 1.17662i 0.0343084 + 0.0430213i
\(749\) 19.2095 44.6715i 0.701900 1.63226i
\(750\) 14.6777 + 13.0507i 0.535954 + 0.476545i
\(751\) −1.16722 15.5755i −0.0425926 0.568358i −0.977151 0.212548i \(-0.931824\pi\)
0.934558 0.355811i \(-0.115795\pi\)
\(752\) 1.96285 1.82126i 0.0715779 0.0664146i
\(753\) 4.02411 2.04415i 0.146647 0.0744931i
\(754\) −34.4241 + 59.6242i −1.25365 + 2.17139i
\(755\) 1.73747 + 7.61236i 0.0632331 + 0.277042i
\(756\) −22.3702 + 4.09644i −0.813596 + 0.148986i
\(757\) 5.70669 25.0026i 0.207413 0.908736i −0.758868 0.651245i \(-0.774247\pi\)
0.966281 0.257491i \(-0.0828958\pi\)
\(758\) 8.66739 + 8.04216i 0.314814 + 0.292104i
\(759\) 1.70038 8.25294i 0.0617200 0.299563i
\(760\) −1.94090 0.292544i −0.0704040 0.0106117i
\(761\) −43.6008 + 13.4491i −1.58053 + 0.487529i −0.955974 0.293452i \(-0.905196\pi\)
−0.624555 + 0.780981i \(0.714720\pi\)
\(762\) −56.3904 16.0927i −2.04281 0.582976i
\(763\) 22.0976 + 16.1290i 0.799986 + 0.583909i
\(764\) −6.55425 28.7160i −0.237124 1.03891i
\(765\) −0.899669 0.0967986i −0.0325276 0.00349976i
\(766\) −19.4831 −0.703952
\(767\) −43.3373 13.3678i −1.56482 0.482683i
\(768\) −17.9790 29.6691i −0.648760 1.07059i
\(769\) 9.55334 + 1.43993i 0.344502 + 0.0519254i 0.319015 0.947750i \(-0.396648\pi\)
0.0254877 + 0.999675i \(0.491886\pi\)
\(770\) −5.79763 0.186246i −0.208932 0.00671184i
\(771\) −3.37870 35.0833i −0.121681 1.26349i
\(772\) 13.0898 + 4.03767i 0.471112 + 0.145319i