Properties

Label 690.2.w.b.373.8
Level $690$
Weight $2$
Character 690.373
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 373.8
Character \(\chi\) \(=\) 690.373
Dual form 690.2.w.b.37.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.877679 - 0.479249i) q^{2} +(-0.997452 + 0.0713392i) q^{3} +(0.540641 - 0.841254i) q^{4} +(-1.84527 + 1.26292i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(1.33335 - 3.57484i) q^{7} +(0.0713392 - 0.997452i) q^{8} +(0.989821 - 0.142315i) q^{9} +O(q^{10})\) \(q+(0.877679 - 0.479249i) q^{2} +(-0.997452 + 0.0713392i) q^{3} +(0.540641 - 0.841254i) q^{4} +(-1.84527 + 1.26292i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(1.33335 - 3.57484i) q^{7} +(0.0713392 - 0.997452i) q^{8} +(0.989821 - 0.142315i) q^{9} +(-1.01431 + 1.99278i) q^{10} +(-0.290043 - 0.987796i) q^{11} +(-0.479249 + 0.877679i) q^{12} +(-3.47860 + 1.29745i) q^{13} +(-0.542988 - 3.77657i) q^{14} +(1.75048 - 1.39134i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(4.48296 + 0.975208i) q^{17} +(0.800541 - 0.599278i) q^{18} +(-6.05358 - 3.89040i) q^{19} +(0.0648035 + 2.23513i) q^{20} +(-1.07492 + 3.66085i) q^{21} +(-0.727965 - 0.727965i) q^{22} +(-3.71643 - 3.03119i) q^{23} +1.00000i q^{24} +(1.81008 - 4.66086i) q^{25} +(-2.43129 + 2.80586i) q^{26} +(-0.977147 + 0.212565i) q^{27} +(-2.28648 - 3.05439i) q^{28} +(-0.296437 - 0.461265i) q^{29} +(0.869559 - 2.06006i) q^{30} +(-7.16746 - 8.27169i) q^{31} +(-0.800541 - 0.599278i) q^{32} +(0.359773 + 0.964588i) q^{33} +(4.40197 - 1.29253i) q^{34} +(2.05434 + 8.28047i) q^{35} +(0.415415 - 0.909632i) q^{36} +(2.74243 - 3.66346i) q^{37} +(-7.17757 - 0.513350i) q^{38} +(3.37718 - 1.54230i) q^{39} +(1.12806 + 1.93067i) q^{40} +(0.389544 - 2.70934i) q^{41} +(0.811022 + 3.72821i) q^{42} +(0.101394 + 1.41767i) q^{43} +(-0.987796 - 0.290043i) q^{44} +(-1.64676 + 1.51267i) q^{45} +(-4.71453 - 0.879319i) q^{46} +(3.43416 - 3.43416i) q^{47} +(0.479249 + 0.877679i) q^{48} +(-5.71142 - 4.94897i) q^{49} +(-0.645047 - 4.95822i) q^{50} +(-4.54111 - 0.652912i) q^{51} +(-0.789188 + 3.62784i) q^{52} +(2.86176 + 1.06738i) q^{53} +(-0.755750 + 0.654861i) q^{54} +(1.78272 + 1.45645i) q^{55} +(-3.47061 - 1.58498i) q^{56} +(6.31569 + 3.44863i) q^{57} +(-0.481238 - 0.262776i) q^{58} +(1.04914 + 0.479127i) q^{59} +(-0.224091 - 2.22481i) q^{60} +(-0.855538 + 0.741328i) q^{61} +(-10.2549 - 3.82489i) q^{62} +(0.811022 - 3.72821i) q^{63} +(-0.989821 - 0.142315i) q^{64} +(4.78039 - 6.78733i) q^{65} +(0.778043 + 0.674178i) q^{66} +(3.63231 + 6.65208i) q^{67} +(3.24407 - 3.24407i) q^{68} +(3.92321 + 2.75834i) q^{69} +(5.77146 + 6.28305i) q^{70} +(4.57883 + 1.34447i) q^{71} +(-0.0713392 - 0.997452i) q^{72} +(2.30460 + 10.5941i) q^{73} +(0.651266 - 4.52965i) q^{74} +(-1.47296 + 4.77811i) q^{75} +(-6.54563 + 2.98929i) q^{76} +(-3.91794 - 0.280217i) q^{77} +(2.22493 - 2.97216i) q^{78} +(-0.501877 + 1.09896i) q^{79} +(1.91535 + 1.15389i) q^{80} +(0.959493 - 0.281733i) q^{81} +(-0.956552 - 2.56462i) q^{82} +(9.90017 + 7.41118i) q^{83} +(2.49856 + 2.88349i) q^{84} +(-9.50389 + 3.86208i) q^{85} +(0.768410 + 1.19567i) q^{86} +(0.328588 + 0.438943i) q^{87} +(-1.00597 + 0.218836i) q^{88} +(-3.18622 + 3.67709i) q^{89} +(-0.720380 + 2.11685i) q^{90} +14.1654i q^{91} +(-4.55926 + 1.48767i) q^{92} +(7.73930 + 7.73930i) q^{93} +(1.36827 - 4.65991i) q^{94} +(16.0838 - 0.466320i) q^{95} +(0.841254 + 0.540641i) q^{96} +(-13.7543 + 10.2963i) q^{97} +(-7.38458 - 1.60642i) q^{98} +(-0.427669 - 0.936465i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.877679 0.479249i 0.620613 0.338880i
\(3\) −0.997452 + 0.0713392i −0.575879 + 0.0411877i
\(4\) 0.540641 0.841254i 0.270320 0.420627i
\(5\) −1.84527 + 1.26292i −0.825232 + 0.564794i
\(6\) −0.841254 + 0.540641i −0.343440 + 0.220716i
\(7\) 1.33335 3.57484i 0.503957 1.35116i −0.397225 0.917721i \(-0.630027\pi\)
0.901182 0.433441i \(-0.142701\pi\)
\(8\) 0.0713392 0.997452i 0.0252222 0.352653i
\(9\) 0.989821 0.142315i 0.329940 0.0474383i
\(10\) −1.01431 + 1.99278i −0.320752 + 0.630173i
\(11\) −0.290043 0.987796i −0.0874513 0.297832i 0.904141 0.427235i \(-0.140512\pi\)
−0.991592 + 0.129403i \(0.958694\pi\)
\(12\) −0.479249 + 0.877679i −0.138347 + 0.253364i
\(13\) −3.47860 + 1.29745i −0.964789 + 0.359848i −0.781982 0.623301i \(-0.785791\pi\)
−0.182807 + 0.983149i \(0.558518\pi\)
\(14\) −0.542988 3.77657i −0.145120 1.00933i
\(15\) 1.75048 1.39134i 0.451971 0.359243i
\(16\) −0.415415 0.909632i −0.103854 0.227408i
\(17\) 4.48296 + 0.975208i 1.08728 + 0.236523i 0.720269 0.693695i \(-0.244018\pi\)
0.367008 + 0.930218i \(0.380382\pi\)
\(18\) 0.800541 0.599278i 0.188689 0.141251i
\(19\) −6.05358 3.89040i −1.38879 0.892519i −0.389197 0.921155i \(-0.627247\pi\)
−0.999590 + 0.0286357i \(0.990884\pi\)
\(20\) 0.0648035 + 2.23513i 0.0144905 + 0.499790i
\(21\) −1.07492 + 3.66085i −0.234567 + 0.798863i
\(22\) −0.727965 0.727965i −0.155203 0.155203i
\(23\) −3.71643 3.03119i −0.774930 0.632048i
\(24\) 1.00000i 0.204124i
\(25\) 1.81008 4.66086i 0.362015 0.932172i
\(26\) −2.43129 + 2.80586i −0.476815 + 0.550274i
\(27\) −0.977147 + 0.212565i −0.188052 + 0.0409082i
\(28\) −2.28648 3.05439i −0.432105 0.577225i
\(29\) −0.296437 0.461265i −0.0550470 0.0856549i 0.812639 0.582767i \(-0.198030\pi\)
−0.867686 + 0.497112i \(0.834394\pi\)
\(30\) 0.869559 2.06006i 0.158759 0.376115i
\(31\) −7.16746 8.27169i −1.28731 1.48564i −0.782854 0.622205i \(-0.786237\pi\)
−0.504461 0.863435i \(-0.668309\pi\)
\(32\) −0.800541 0.599278i −0.141517 0.105938i
\(33\) 0.359773 + 0.964588i 0.0626284 + 0.167913i
\(34\) 4.40197 1.29253i 0.754931 0.221668i
\(35\) 2.05434 + 8.28047i 0.347247 + 1.39965i
\(36\) 0.415415 0.909632i 0.0692358 0.151605i
\(37\) 2.74243 3.66346i 0.450853 0.602270i −0.516317 0.856397i \(-0.672697\pi\)
0.967171 + 0.254128i \(0.0817884\pi\)
\(38\) −7.17757 0.513350i −1.16436 0.0832764i
\(39\) 3.37718 1.54230i 0.540781 0.246966i
\(40\) 1.12806 + 1.93067i 0.178362 + 0.305265i
\(41\) 0.389544 2.70934i 0.0608365 0.423127i −0.936529 0.350590i \(-0.885981\pi\)
0.997366 0.0725375i \(-0.0231097\pi\)
\(42\) 0.811022 + 3.72821i 0.125143 + 0.575275i
\(43\) 0.101394 + 1.41767i 0.0154624 + 0.216193i 0.999309 + 0.0371776i \(0.0118367\pi\)
−0.983846 + 0.179016i \(0.942709\pi\)
\(44\) −0.987796 0.290043i −0.148916 0.0437257i
\(45\) −1.64676 + 1.51267i −0.245485 + 0.225496i
\(46\) −4.71453 0.879319i −0.695120 0.129648i
\(47\) 3.43416 3.43416i 0.500924 0.500924i −0.410801 0.911725i \(-0.634751\pi\)
0.911725 + 0.410801i \(0.134751\pi\)
\(48\) 0.479249 + 0.877679i 0.0691736 + 0.126682i
\(49\) −5.71142 4.94897i −0.815917 0.706996i
\(50\) −0.645047 4.95822i −0.0912234 0.701198i
\(51\) −4.54111 0.652912i −0.635882 0.0914260i
\(52\) −0.789188 + 3.62784i −0.109441 + 0.503090i
\(53\) 2.86176 + 1.06738i 0.393093 + 0.146616i 0.538235 0.842795i \(-0.319091\pi\)
−0.145142 + 0.989411i \(0.546364\pi\)
\(54\) −0.755750 + 0.654861i −0.102844 + 0.0891153i
\(55\) 1.78272 + 1.45645i 0.240381 + 0.196388i
\(56\) −3.47061 1.58498i −0.463780 0.211801i
\(57\) 6.31569 + 3.44863i 0.836534 + 0.456782i
\(58\) −0.481238 0.262776i −0.0631896 0.0345041i
\(59\) 1.04914 + 0.479127i 0.136586 + 0.0623770i 0.482536 0.875876i \(-0.339716\pi\)
−0.345949 + 0.938253i \(0.612443\pi\)
\(60\) −0.224091 2.22481i −0.0289300 0.287222i
\(61\) −0.855538 + 0.741328i −0.109540 + 0.0949173i −0.707909 0.706304i \(-0.750361\pi\)
0.598369 + 0.801221i \(0.295816\pi\)
\(62\) −10.2549 3.82489i −1.30238 0.485762i
\(63\) 0.811022 3.72821i 0.102179 0.469710i
\(64\) −0.989821 0.142315i −0.123728 0.0177894i
\(65\) 4.78039 6.78733i 0.592935 0.841865i
\(66\) 0.778043 + 0.674178i 0.0957705 + 0.0829856i
\(67\) 3.63231 + 6.65208i 0.443757 + 0.812681i 0.999830 0.0184529i \(-0.00587407\pi\)
−0.556072 + 0.831134i \(0.687692\pi\)
\(68\) 3.24407 3.24407i 0.393401 0.393401i
\(69\) 3.92321 + 2.75834i 0.472298 + 0.332065i
\(70\) 5.77146 + 6.28305i 0.689821 + 0.750968i
\(71\) 4.57883 + 1.34447i 0.543407 + 0.159559i 0.541904 0.840440i \(-0.317703\pi\)
0.00150274 + 0.999999i \(0.499522\pi\)
\(72\) −0.0713392 0.997452i −0.00840740 0.117551i
\(73\) 2.30460 + 10.5941i 0.269733 + 1.23994i 0.890150 + 0.455669i \(0.150600\pi\)
−0.620417 + 0.784272i \(0.713037\pi\)
\(74\) 0.651266 4.52965i 0.0757081 0.526562i
\(75\) −1.47296 + 4.77811i −0.170083 + 0.551729i
\(76\) −6.54563 + 2.98929i −0.750835 + 0.342895i
\(77\) −3.91794 0.280217i −0.446491 0.0319337i
\(78\) 2.22493 2.97216i 0.251923 0.336530i
\(79\) −0.501877 + 1.09896i −0.0564656 + 0.123642i −0.935762 0.352633i \(-0.885286\pi\)
0.879296 + 0.476276i \(0.158014\pi\)
\(80\) 1.91535 + 1.15389i 0.214142 + 0.129008i
\(81\) 0.959493 0.281733i 0.106610 0.0313036i
\(82\) −0.956552 2.56462i −0.105634 0.283214i
\(83\) 9.90017 + 7.41118i 1.08669 + 0.813482i 0.983451 0.181175i \(-0.0579900\pi\)
0.103234 + 0.994657i \(0.467081\pi\)
\(84\) 2.49856 + 2.88349i 0.272615 + 0.314614i
\(85\) −9.50389 + 3.86208i −1.03084 + 0.418902i
\(86\) 0.768410 + 1.19567i 0.0828598 + 0.128932i
\(87\) 0.328588 + 0.438943i 0.0352284 + 0.0470596i
\(88\) −1.00597 + 0.218836i −0.107237 + 0.0233280i
\(89\) −3.18622 + 3.67709i −0.337739 + 0.389771i −0.899059 0.437827i \(-0.855748\pi\)
0.561320 + 0.827599i \(0.310294\pi\)
\(90\) −0.720380 + 2.11685i −0.0759347 + 0.223136i
\(91\) 14.1654i 1.48493i
\(92\) −4.55926 + 1.48767i −0.475335 + 0.155101i
\(93\) 7.73930 + 7.73930i 0.802528 + 0.802528i
\(94\) 1.36827 4.65991i 0.141127 0.480633i
\(95\) 16.0838 0.466320i 1.65016 0.0478434i
\(96\) 0.841254 + 0.540641i 0.0858601 + 0.0551789i
\(97\) −13.7543 + 10.2963i −1.39653 + 1.04543i −0.405176 + 0.914239i \(0.632790\pi\)
−0.991357 + 0.131192i \(0.958119\pi\)
\(98\) −7.38458 1.60642i −0.745955 0.162273i
\(99\) −0.427669 0.936465i −0.0429824 0.0941182i
\(100\) −2.94236 4.04258i −0.294236 0.404258i
\(101\) 1.42916 + 9.94000i 0.142206 + 0.989067i 0.928531 + 0.371254i \(0.121072\pi\)
−0.786325 + 0.617813i \(0.788019\pi\)
\(102\) −4.29854 + 1.60327i −0.425619 + 0.158748i
\(103\) 2.28251 4.18010i 0.224902 0.411878i −0.740725 0.671808i \(-0.765518\pi\)
0.965627 + 0.259931i \(0.0836997\pi\)
\(104\) 1.04598 + 3.56229i 0.102567 + 0.349312i
\(105\) −2.63983 8.11281i −0.257621 0.791730i
\(106\) 3.02325 0.434678i 0.293644 0.0422197i
\(107\) 0.0326501 0.456508i 0.00315641 0.0441323i −0.995630 0.0933879i \(-0.970230\pi\)
0.998786 + 0.0492556i \(0.0156849\pi\)
\(108\) −0.349464 + 0.936950i −0.0336272 + 0.0901580i
\(109\) 7.26470 4.66874i 0.695832 0.447184i −0.144323 0.989531i \(-0.546100\pi\)
0.840155 + 0.542346i \(0.182464\pi\)
\(110\) 2.26266 + 0.423935i 0.215736 + 0.0404206i
\(111\) −2.47410 + 3.84977i −0.234831 + 0.365404i
\(112\) −3.80568 + 0.272188i −0.359603 + 0.0257193i
\(113\) 2.05598 1.12265i 0.193410 0.105610i −0.379626 0.925140i \(-0.623947\pi\)
0.573036 + 0.819530i \(0.305765\pi\)
\(114\) 7.19591 0.673958
\(115\) 10.6860 + 0.899835i 0.996473 + 0.0839101i
\(116\) −0.548307 −0.0509091
\(117\) −3.25854 + 1.77930i −0.301252 + 0.164496i
\(118\) 1.15043 0.0822804i 0.105906 0.00757452i
\(119\) 9.46355 14.7256i 0.867522 1.34989i
\(120\) −1.26292 1.84527i −0.115288 0.168450i
\(121\) 8.36217 5.37404i 0.760197 0.488549i
\(122\) −0.395607 + 1.06066i −0.0358166 + 0.0960280i
\(123\) −0.195269 + 2.73022i −0.0176068 + 0.246176i
\(124\) −10.8336 + 1.55764i −0.972887 + 0.139880i
\(125\) 2.54620 + 10.8865i 0.227739 + 0.973722i
\(126\) −1.07492 3.66085i −0.0957617 0.326135i
\(127\) 6.74062 12.3445i 0.598133 1.09540i −0.386751 0.922184i \(-0.626403\pi\)
0.984884 0.173215i \(-0.0554154\pi\)
\(128\) −0.936950 + 0.349464i −0.0828154 + 0.0308886i
\(129\) −0.202271 1.40683i −0.0178090 0.123864i
\(130\) 0.942829 8.24810i 0.0826915 0.723406i
\(131\) −5.81149 12.7254i −0.507752 1.11182i −0.973871 0.227101i \(-0.927075\pi\)
0.466119 0.884722i \(-0.345652\pi\)
\(132\) 1.00597 + 0.218836i 0.0875585 + 0.0190472i
\(133\) −21.9791 + 16.4533i −1.90583 + 1.42668i
\(134\) 6.37601 + 4.09761i 0.550803 + 0.353980i
\(135\) 1.53465 1.62630i 0.132082 0.139969i
\(136\) 1.29253 4.40197i 0.110834 0.377465i
\(137\) −8.71161 8.71161i −0.744283 0.744283i 0.229116 0.973399i \(-0.426416\pi\)
−0.973399 + 0.229116i \(0.926416\pi\)
\(138\) 4.76525 + 0.540747i 0.405645 + 0.0460315i
\(139\) 17.2008i 1.45895i −0.684007 0.729475i \(-0.739764\pi\)
0.684007 0.729475i \(-0.260236\pi\)
\(140\) 8.07663 + 2.74854i 0.682600 + 0.232294i
\(141\) −3.18042 + 3.67040i −0.267840 + 0.309103i
\(142\) 4.66308 1.01439i 0.391317 0.0851257i
\(143\) 2.29056 + 3.05983i 0.191546 + 0.255876i
\(144\) −0.540641 0.841254i −0.0450534 0.0701045i
\(145\) 1.12955 + 0.476785i 0.0938039 + 0.0395949i
\(146\) 7.09989 + 8.19371i 0.587591 + 0.678116i
\(147\) 6.04992 + 4.52891i 0.498989 + 0.373539i
\(148\) −1.59923 4.28770i −0.131456 0.352447i
\(149\) 8.33215 2.44654i 0.682597 0.200428i 0.0779917 0.996954i \(-0.475149\pi\)
0.604605 + 0.796526i \(0.293331\pi\)
\(150\) 0.997119 + 4.89957i 0.0814144 + 0.400048i
\(151\) 8.73996 19.1378i 0.711248 1.55741i −0.114530 0.993420i \(-0.536536\pi\)
0.825778 0.563995i \(-0.190736\pi\)
\(152\) −4.31235 + 5.76062i −0.349777 + 0.467248i
\(153\) 4.57611 + 0.327290i 0.369957 + 0.0264598i
\(154\) −3.57299 + 1.63173i −0.287920 + 0.131488i
\(155\) 23.6724 + 6.21163i 1.90141 + 0.498930i
\(156\) 0.528370 3.67489i 0.0423034 0.294227i
\(157\) −0.464306 2.13438i −0.0370557 0.170342i 0.954900 0.296927i \(-0.0959619\pi\)
−0.991956 + 0.126585i \(0.959598\pi\)
\(158\) 0.0861874 + 1.20506i 0.00685670 + 0.0958692i
\(159\) −2.93062 0.860507i −0.232413 0.0682426i
\(160\) 2.23406 + 0.0948139i 0.176618 + 0.00749569i
\(161\) −15.7913 + 9.24402i −1.24453 + 0.728531i
\(162\) 0.707107 0.707107i 0.0555556 0.0555556i
\(163\) 11.8066 + 21.6221i 0.924763 + 1.69358i 0.693183 + 0.720762i \(0.256208\pi\)
0.231580 + 0.972816i \(0.425610\pi\)
\(164\) −2.06863 1.79248i −0.161533 0.139969i
\(165\) −1.88208 1.32557i −0.146519 0.103195i
\(166\) 12.2410 + 1.75999i 0.950084 + 0.136601i
\(167\) −3.57900 + 16.4524i −0.276951 + 1.27312i 0.602878 + 0.797834i \(0.294021\pi\)
−0.879829 + 0.475290i \(0.842343\pi\)
\(168\) 3.57484 + 1.33335i 0.275805 + 0.102870i
\(169\) 0.592519 0.513421i 0.0455784 0.0394939i
\(170\) −6.49047 + 7.94440i −0.497796 + 0.609308i
\(171\) −6.54563 2.98929i −0.500556 0.228596i
\(172\) 1.24744 + 0.681154i 0.0951165 + 0.0519375i
\(173\) 8.14810 + 4.44920i 0.619489 + 0.338266i 0.758157 0.652073i \(-0.226100\pi\)
−0.138668 + 0.990339i \(0.544282\pi\)
\(174\) 0.498758 + 0.227775i 0.0378107 + 0.0172676i
\(175\) −14.2484 12.6853i −1.07708 0.958917i
\(176\) −0.778043 + 0.674178i −0.0586472 + 0.0508181i
\(177\) −1.08065 0.403061i −0.0812265 0.0302959i
\(178\) −1.03423 + 4.75430i −0.0775192 + 0.356350i
\(179\) −2.81402 0.404594i −0.210329 0.0302408i 0.0363446 0.999339i \(-0.488429\pi\)
−0.246674 + 0.969099i \(0.579338\pi\)
\(180\) 0.382236 + 2.20316i 0.0284902 + 0.164214i
\(181\) −5.91992 5.12964i −0.440024 0.381283i 0.406485 0.913658i \(-0.366754\pi\)
−0.846509 + 0.532374i \(0.821300\pi\)
\(182\) 6.78874 + 12.4327i 0.503215 + 0.921570i
\(183\) 0.800472 0.800472i 0.0591726 0.0591726i
\(184\) −3.28860 + 3.49072i −0.242439 + 0.257339i
\(185\) −0.433890 + 10.2236i −0.0319003 + 0.751652i
\(186\) 10.5017 + 3.08357i 0.770020 + 0.226098i
\(187\) −0.336945 4.71110i −0.0246398 0.344510i
\(188\) −1.03235 4.74565i −0.0752920 0.346112i
\(189\) −0.542988 + 3.77657i −0.0394966 + 0.274705i
\(190\) 13.8929 8.11741i 1.00790 0.588899i
\(191\) −16.4572 + 7.51574i −1.19080 + 0.543820i −0.909461 0.415789i \(-0.863506\pi\)
−0.281338 + 0.959609i \(0.590778\pi\)
\(192\) 0.997452 + 0.0713392i 0.0719849 + 0.00514846i
\(193\) 13.8077 18.4450i 0.993903 1.32770i 0.0495476 0.998772i \(-0.484222\pi\)
0.944355 0.328927i \(-0.106687\pi\)
\(194\) −7.13732 + 15.6286i −0.512430 + 1.12207i
\(195\) −4.28401 + 7.11107i −0.306784 + 0.509234i
\(196\) −7.25117 + 2.12913i −0.517940 + 0.152081i
\(197\) −6.86898 18.4164i −0.489394 1.31212i −0.913623 0.406562i \(-0.866728\pi\)
0.424229 0.905555i \(-0.360545\pi\)
\(198\) −0.824156 0.616955i −0.0585702 0.0438451i
\(199\) 5.67319 + 6.54721i 0.402162 + 0.464119i 0.920320 0.391165i \(-0.127928\pi\)
−0.518159 + 0.855284i \(0.673382\pi\)
\(200\) −4.51986 2.13797i −0.319602 0.151177i
\(201\) −4.09761 6.37601i −0.289023 0.449729i
\(202\) 6.01808 + 8.03921i 0.423430 + 0.565637i
\(203\) −2.04420 + 0.444689i −0.143475 + 0.0312111i
\(204\) −3.00437 + 3.46723i −0.210348 + 0.242755i
\(205\) 2.70285 + 5.49143i 0.188775 + 0.383538i
\(206\) 4.76268i 0.331831i
\(207\) −4.10999 2.47144i −0.285664 0.171777i
\(208\) 2.62526 + 2.62526i 0.182029 + 0.182029i
\(209\) −2.08712 + 7.10809i −0.144369 + 0.491677i
\(210\) −6.20498 5.85531i −0.428184 0.404055i
\(211\) −1.08902 0.699869i −0.0749711 0.0481810i 0.502618 0.864508i \(-0.332370\pi\)
−0.577589 + 0.816327i \(0.696006\pi\)
\(212\) 2.44513 1.83040i 0.167932 0.125712i
\(213\) −4.66308 1.01439i −0.319509 0.0695049i
\(214\) −0.190125 0.416315i −0.0129967 0.0284587i
\(215\) −1.97751 2.48794i −0.134865 0.169676i
\(216\) 0.142315 + 0.989821i 0.00968330 + 0.0673488i
\(217\) −39.1267 + 14.5935i −2.65609 + 0.990671i
\(218\) 4.13859 7.57926i 0.280300 0.513332i
\(219\) −3.05450 10.4027i −0.206404 0.702946i
\(220\) 2.18906 0.712297i 0.147586 0.0480230i
\(221\) −16.8597 + 2.42406i −1.13411 + 0.163060i
\(222\) −0.326465 + 4.56457i −0.0219109 + 0.306354i
\(223\) 3.81862 10.2381i 0.255714 0.685595i −0.744132 0.668032i \(-0.767137\pi\)
0.999846 0.0175623i \(-0.00559055\pi\)
\(224\) −3.20972 + 2.06276i −0.214458 + 0.137824i
\(225\) 1.12834 4.87102i 0.0752228 0.324735i
\(226\) 1.26646 1.97065i 0.0842437 0.131086i
\(227\) 10.7647 0.769905i 0.714476 0.0511004i 0.290631 0.956835i \(-0.406135\pi\)
0.423845 + 0.905735i \(0.360680\pi\)
\(228\) 6.31569 3.44863i 0.418267 0.228391i
\(229\) −20.3146 −1.34242 −0.671212 0.741265i \(-0.734226\pi\)
−0.671212 + 0.741265i \(0.734226\pi\)
\(230\) 9.81011 4.33148i 0.646860 0.285609i
\(231\) 3.92795 0.258440
\(232\) −0.481238 + 0.262776i −0.0315948 + 0.0172521i
\(233\) 21.3937 1.53011i 1.40155 0.100241i 0.650008 0.759927i \(-0.274765\pi\)
0.751541 + 0.659686i \(0.229311\pi\)
\(234\) −2.00723 + 3.12331i −0.131217 + 0.204177i
\(235\) −1.99991 + 10.6740i −0.130459 + 0.696297i
\(236\) 0.970275 0.623558i 0.0631595 0.0405902i
\(237\) 0.422200 1.13196i 0.0274248 0.0735288i
\(238\) 1.24874 17.4597i 0.0809440 1.13175i
\(239\) 11.0046 1.58222i 0.711827 0.102345i 0.223117 0.974792i \(-0.428377\pi\)
0.488710 + 0.872446i \(0.337468\pi\)
\(240\) −1.99278 1.01431i −0.128634 0.0654732i
\(241\) −2.36498 8.05437i −0.152341 0.518827i 0.847589 0.530654i \(-0.178054\pi\)
−0.999930 + 0.0118266i \(0.996235\pi\)
\(242\) 4.76380 8.72425i 0.306229 0.560816i
\(243\) −0.936950 + 0.349464i −0.0601054 + 0.0224181i
\(244\) 0.161106 + 1.12052i 0.0103138 + 0.0717337i
\(245\) 16.7893 + 1.91916i 1.07263 + 0.122611i
\(246\) 1.13707 + 2.48984i 0.0724971 + 0.158746i
\(247\) 26.1056 + 5.67892i 1.66106 + 0.361341i
\(248\) −8.76194 + 6.55911i −0.556384 + 0.416504i
\(249\) −10.4037 6.68602i −0.659305 0.423710i
\(250\) 7.45211 + 8.33463i 0.471313 + 0.527128i
\(251\) −6.16980 + 21.0124i −0.389434 + 1.32629i 0.498727 + 0.866759i \(0.333801\pi\)
−0.888161 + 0.459532i \(0.848017\pi\)
\(252\) −2.69790 2.69790i −0.169951 0.169951i
\(253\) −1.91628 + 4.55026i −0.120475 + 0.286072i
\(254\) 14.0650i 0.882514i
\(255\) 9.20416 4.53024i 0.576387 0.283695i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 22.2540 4.84106i 1.38817 0.301977i 0.544463 0.838785i \(-0.316734\pi\)
0.843705 + 0.536808i \(0.180370\pi\)
\(258\) −0.851750 1.13781i −0.0530277 0.0708367i
\(259\) −9.43968 14.6884i −0.586553 0.912695i
\(260\) −3.12539 7.69103i −0.193829 0.476978i
\(261\) −0.359065 0.414383i −0.0222256 0.0256497i
\(262\) −11.1993 8.38366i −0.691892 0.517944i
\(263\) 6.78779 + 18.1988i 0.418553 + 1.12218i 0.959643 + 0.281220i \(0.0907389\pi\)
−0.541091 + 0.840964i \(0.681988\pi\)
\(264\) 0.987796 0.290043i 0.0607947 0.0178509i
\(265\) −6.62876 + 1.64456i −0.407201 + 0.101024i
\(266\) −11.4053 + 24.9742i −0.699306 + 1.53127i
\(267\) 2.91578 3.89503i 0.178443 0.238372i
\(268\) 7.55986 + 0.540692i 0.461792 + 0.0330280i
\(269\) 7.19964 3.28796i 0.438970 0.200471i −0.183656 0.982991i \(-0.558793\pi\)
0.622626 + 0.782520i \(0.286066\pi\)
\(270\) 0.567530 2.16285i 0.0345388 0.131627i
\(271\) 2.18535 15.1995i 0.132751 0.923301i −0.809196 0.587539i \(-0.800097\pi\)
0.941947 0.335762i \(-0.108994\pi\)
\(272\) −0.975208 4.48296i −0.0591307 0.271819i
\(273\) −1.01055 14.1293i −0.0611611 0.855143i
\(274\) −11.8210 3.47097i −0.714134 0.209689i
\(275\) −5.12898 0.436136i −0.309289 0.0263000i
\(276\) 4.44151 1.80914i 0.267348 0.108897i
\(277\) −18.8513 + 18.8513i −1.13267 + 1.13267i −0.142934 + 0.989732i \(0.545654\pi\)
−0.989732 + 0.142934i \(0.954346\pi\)
\(278\) −8.24345 15.0968i −0.494409 0.905443i
\(279\) −8.27169 7.16746i −0.495213 0.429105i
\(280\) 8.40592 1.45838i 0.502350 0.0871551i
\(281\) −1.68682 0.242529i −0.100628 0.0144681i 0.0918171 0.995776i \(-0.470732\pi\)
−0.192445 + 0.981308i \(0.561642\pi\)
\(282\) −1.03235 + 4.74565i −0.0614757 + 0.282599i
\(283\) −25.0799 9.35432i −1.49085 0.556057i −0.533703 0.845672i \(-0.679200\pi\)
−0.957143 + 0.289615i \(0.906473\pi\)
\(284\) 3.60654 3.12508i 0.214009 0.185440i
\(285\) −16.0095 + 1.61254i −0.948323 + 0.0955183i
\(286\) 3.47680 + 1.58780i 0.205587 + 0.0938886i
\(287\) −9.16604 5.00504i −0.541054 0.295438i
\(288\) −0.877679 0.479249i −0.0517177 0.0282400i
\(289\) 3.68214 + 1.68157i 0.216596 + 0.0989162i
\(290\) 1.21988 0.122871i 0.0716338 0.00721521i
\(291\) 12.9847 11.2513i 0.761175 0.659562i
\(292\) 10.1582 + 3.78883i 0.594467 + 0.221725i
\(293\) 0.387768 1.78254i 0.0226537 0.104137i −0.964432 0.264332i \(-0.914849\pi\)
0.987085 + 0.160195i \(0.0512122\pi\)
\(294\) 7.48037 + 1.07551i 0.436264 + 0.0627253i
\(295\) −2.54105 + 0.440859i −0.147946 + 0.0256678i
\(296\) −3.45849 2.99680i −0.201020 0.174185i
\(297\) 0.493386 + 0.903569i 0.0286292 + 0.0524304i
\(298\) 6.14045 6.14045i 0.355707 0.355707i
\(299\) 16.8608 + 5.72242i 0.975085 + 0.330936i
\(300\) 3.22326 + 3.82238i 0.186095 + 0.220685i
\(301\) 5.20315 + 1.52778i 0.299905 + 0.0880599i
\(302\) −1.50091 20.9855i −0.0863678 1.20758i
\(303\) −2.13463 9.81272i −0.122631 0.563726i
\(304\) −1.02408 + 7.12266i −0.0587352 + 0.408513i
\(305\) 0.642466 2.44843i 0.0367875 0.140197i
\(306\) 4.17321 1.90584i 0.238567 0.108950i
\(307\) 28.4412 + 2.03415i 1.62322 + 0.116095i 0.853082 0.521777i \(-0.174731\pi\)
0.770142 + 0.637872i \(0.220185\pi\)
\(308\) −2.35393 + 3.14449i −0.134128 + 0.179174i
\(309\) −1.97849 + 4.33228i −0.112552 + 0.246455i
\(310\) 23.7537 5.89316i 1.34912 0.334709i
\(311\) −25.4157 + 7.46272i −1.44119 + 0.423172i −0.906619 0.421950i \(-0.861346\pi\)
−0.534573 + 0.845122i \(0.679527\pi\)
\(312\) −1.29745 3.47860i −0.0734536 0.196937i
\(313\) −0.478924 0.358518i −0.0270704 0.0202646i 0.585657 0.810559i \(-0.300837\pi\)
−0.612727 + 0.790295i \(0.709928\pi\)
\(314\) −1.43041 1.65078i −0.0807228 0.0931591i
\(315\) 3.21186 + 7.90382i 0.180968 + 0.445330i
\(316\) 0.653167 + 1.01635i 0.0367435 + 0.0571740i
\(317\) −18.7229 25.0109i −1.05159 1.40475i −0.909893 0.414843i \(-0.863836\pi\)
−0.141693 0.989911i \(-0.545254\pi\)
\(318\) −2.98454 + 0.649247i −0.167365 + 0.0364079i
\(319\) −0.369657 + 0.426607i −0.0206968 + 0.0238854i
\(320\) 2.00622 0.987453i 0.112151 0.0552003i
\(321\) 0.457675i 0.0255449i
\(322\) −9.42952 + 15.6813i −0.525487 + 0.873882i
\(323\) −23.3440 23.3440i −1.29889 1.29889i
\(324\) 0.281733 0.959493i 0.0156518 0.0533052i
\(325\) −0.249293 + 18.5617i −0.0138283 + 1.02962i
\(326\) 20.7248 + 13.3190i 1.14784 + 0.737672i
\(327\) −6.91313 + 5.17510i −0.382297 + 0.286184i
\(328\) −2.67464 0.581833i −0.147682 0.0321263i
\(329\) −7.69765 16.8555i −0.424385 0.929273i
\(330\) −2.28713 0.261439i −0.125903 0.0143918i
\(331\) −3.22331 22.4186i −0.177169 1.23224i −0.863274 0.504736i \(-0.831590\pi\)
0.686104 0.727503i \(-0.259319\pi\)
\(332\) 11.5871 4.32177i 0.635926 0.237188i
\(333\) 2.19316 4.01646i 0.120184 0.220101i
\(334\) 4.74358 + 16.1551i 0.259557 + 0.883970i
\(335\) −15.1036 7.68760i −0.825200 0.420019i
\(336\) 3.77657 0.542988i 0.206029 0.0296224i
\(337\) −1.23447 + 17.2601i −0.0672458 + 0.940219i 0.846097 + 0.533028i \(0.178946\pi\)
−0.913343 + 0.407191i \(0.866508\pi\)
\(338\) 0.273985 0.734583i 0.0149028 0.0399560i
\(339\) −1.97065 + 1.26646i −0.107031 + 0.0687847i
\(340\) −1.88920 + 10.0832i −0.102456 + 0.546837i
\(341\) −6.09188 + 9.47914i −0.329894 + 0.513324i
\(342\) −7.17757 + 0.513350i −0.388119 + 0.0277588i
\(343\) −1.86619 + 1.01902i −0.100765 + 0.0550219i
\(344\) 1.42129 0.0766311
\(345\) −10.7230 0.135213i −0.577304 0.00727962i
\(346\) 9.28369 0.499094
\(347\) −15.7028 + 8.57440i −0.842973 + 0.460298i −0.841856 0.539702i \(-0.818537\pi\)
−0.00111612 + 0.999999i \(0.500355\pi\)
\(348\) 0.546910 0.0391158i 0.0293175 0.00209683i
\(349\) 14.4933 22.5519i 0.775806 1.20718i −0.198090 0.980184i \(-0.563474\pi\)
0.973896 0.226994i \(-0.0728897\pi\)
\(350\) −18.5849 4.30508i −0.993405 0.230116i
\(351\) 3.12331 2.00723i 0.166710 0.107138i
\(352\) −0.359773 + 0.964588i −0.0191760 + 0.0514127i
\(353\) −2.20089 + 30.7725i −0.117142 + 1.63785i 0.510877 + 0.859654i \(0.329321\pi\)
−0.628018 + 0.778199i \(0.716134\pi\)
\(354\) −1.14163 + 0.164141i −0.0606769 + 0.00872402i
\(355\) −10.1471 + 3.30178i −0.538555 + 0.175240i
\(356\) 1.37077 + 4.66841i 0.0726505 + 0.247425i
\(357\) −8.38892 + 15.3632i −0.443989 + 0.813105i
\(358\) −2.66370 + 0.993510i −0.140781 + 0.0525086i
\(359\) 4.69707 + 32.6688i 0.247902 + 1.72419i 0.610299 + 0.792171i \(0.291049\pi\)
−0.362397 + 0.932024i \(0.618042\pi\)
\(360\) 1.39134 + 1.75048i 0.0733301 + 0.0922583i
\(361\) 13.6177 + 29.8187i 0.716723 + 1.56940i
\(362\) −7.65416 1.66506i −0.402294 0.0875137i
\(363\) −7.95749 + 5.95690i −0.417660 + 0.312656i
\(364\) 11.9167 + 7.65838i 0.624603 + 0.401408i
\(365\) −17.6320 16.6384i −0.922903 0.870895i
\(366\) 0.318932 1.08618i 0.0166709 0.0567757i
\(367\) 22.9270 + 22.9270i 1.19678 + 1.19678i 0.975126 + 0.221653i \(0.0711451\pi\)
0.221653 + 0.975126i \(0.428855\pi\)
\(368\) −1.21341 + 4.63979i −0.0632533 + 0.241866i
\(369\) 2.73720i 0.142493i
\(370\) 4.51882 + 9.18095i 0.234922 + 0.477295i
\(371\) 7.63144 8.80715i 0.396205 0.457245i
\(372\) 10.6949 2.32653i 0.554504 0.120625i
\(373\) −14.2826 19.0794i −0.739527 0.987893i −0.999750 0.0223443i \(-0.992887\pi\)
0.260223 0.965549i \(-0.416204\pi\)
\(374\) −2.55352 3.97335i −0.132039 0.205457i
\(375\) −3.31635 10.6772i −0.171255 0.551366i
\(376\) −3.18042 3.67040i −0.164018 0.189286i
\(377\) 1.62965 + 1.21994i 0.0839315 + 0.0628303i
\(378\) 1.33335 + 3.57484i 0.0685799 + 0.183870i
\(379\) −3.87869 + 1.13889i −0.199235 + 0.0585006i −0.379827 0.925057i \(-0.624017\pi\)
0.180593 + 0.983558i \(0.442198\pi\)
\(380\) 8.30325 13.7826i 0.425948 0.707035i
\(381\) −5.84279 + 12.7939i −0.299335 + 0.655453i
\(382\) −10.8422 + 14.4835i −0.554736 + 0.741040i
\(383\) −0.468204 0.0334866i −0.0239241 0.00171108i 0.0593720 0.998236i \(-0.481090\pi\)
−0.0832961 + 0.996525i \(0.526545\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 7.58357 4.43096i 0.386494 0.225823i
\(386\) 3.27902 22.8061i 0.166898 1.16080i
\(387\) 0.302118 + 1.38881i 0.0153575 + 0.0705974i
\(388\) 1.22569 + 17.1374i 0.0622251 + 0.870020i
\(389\) −9.23702 2.71223i −0.468335 0.137516i 0.0390458 0.999237i \(-0.487568\pi\)
−0.507381 + 0.861722i \(0.669386\pi\)
\(390\) −0.352014 + 8.29435i −0.0178249 + 0.420000i
\(391\) −13.7046 17.2130i −0.693070 0.870499i
\(392\) −5.34381 + 5.34381i −0.269903 + 0.269903i
\(393\) 6.70450 + 12.2784i 0.338198 + 0.619363i
\(394\) −14.8548 12.8718i −0.748375 0.648470i
\(395\) −0.461793 2.66171i −0.0232353 0.133925i
\(396\) −1.01902 0.146513i −0.0512077 0.00736255i
\(397\) 3.13101 14.3930i 0.157141 0.722364i −0.829374 0.558693i \(-0.811303\pi\)
0.986515 0.163671i \(-0.0523335\pi\)
\(398\) 8.11698 + 3.02748i 0.406867 + 0.151754i
\(399\) 20.7493 17.9794i 1.03876 0.900095i
\(400\) −4.99160 + 0.289688i −0.249580 + 0.0144844i
\(401\) 29.1288 + 13.3027i 1.45462 + 0.664304i 0.976800 0.214152i \(-0.0686988\pi\)
0.477823 + 0.878456i \(0.341426\pi\)
\(402\) −6.65208 3.63231i −0.331776 0.181163i
\(403\) 35.6648 + 19.4745i 1.77659 + 0.970092i
\(404\) 9.13472 + 4.17169i 0.454469 + 0.207549i
\(405\) −1.41472 + 1.73163i −0.0702981 + 0.0860456i
\(406\) −1.58104 + 1.36998i −0.0784656 + 0.0679908i
\(407\) −4.41418 1.64640i −0.218803 0.0816092i
\(408\) −0.975208 + 4.48296i −0.0482800 + 0.221939i
\(409\) −19.7446 2.83885i −0.976309 0.140372i −0.364351 0.931262i \(-0.618709\pi\)
−0.611959 + 0.790890i \(0.709618\pi\)
\(410\) 5.00400 + 3.52437i 0.247130 + 0.174056i
\(411\) 9.31089 + 8.06793i 0.459272 + 0.397962i
\(412\) −2.28251 4.18010i −0.112451 0.205939i
\(413\) 3.11167 3.11167i 0.153115 0.153115i
\(414\) −4.79168 0.199421i −0.235498 0.00980099i
\(415\) −27.6282 1.17255i −1.35622 0.0575582i
\(416\) 3.56229 + 1.04598i 0.174656 + 0.0512836i
\(417\) 1.22709 + 17.1569i 0.0600908 + 0.840179i
\(418\) 1.57472 + 7.23887i 0.0770221 + 0.354065i
\(419\) 2.06280 14.3471i 0.100774 0.700902i −0.875318 0.483547i \(-0.839348\pi\)
0.976093 0.217355i \(-0.0697428\pi\)
\(420\) −8.25213 2.16535i −0.402663 0.105659i
\(421\) −3.29265 + 1.50370i −0.160474 + 0.0732861i −0.494033 0.869443i \(-0.664478\pi\)
0.333559 + 0.942729i \(0.391750\pi\)
\(422\) −1.29122 0.0923498i −0.0628556 0.00449552i
\(423\) 2.91047 3.88794i 0.141512 0.189038i
\(424\) 1.26882 2.77833i 0.0616193 0.134927i
\(425\) 12.6598 19.1292i 0.614091 0.927905i
\(426\) −4.57883 + 1.34447i −0.221845 + 0.0651396i
\(427\) 1.50940 + 4.04686i 0.0730450 + 0.195841i
\(428\) −0.366387 0.274274i −0.0177100 0.0132575i
\(429\) −2.50301 2.88863i −0.120846 0.139464i
\(430\) −2.92796 1.23590i −0.141199 0.0596004i
\(431\) −22.2301 34.5908i −1.07079 1.66618i −0.652313 0.757950i \(-0.726201\pi\)
−0.418475 0.908229i \(-0.637435\pi\)
\(432\) 0.599278 + 0.800541i 0.0288328 + 0.0385161i
\(433\) 10.8524 2.36080i 0.521535 0.113453i 0.0559112 0.998436i \(-0.482194\pi\)
0.465624 + 0.884983i \(0.345830\pi\)
\(434\) −27.3468 + 31.5598i −1.31269 + 1.51492i
\(435\) −1.16068 0.394990i −0.0556506 0.0189383i
\(436\) 8.63557i 0.413569i
\(437\) 10.7052 + 32.8080i 0.512097 + 1.56942i
\(438\) −7.66633 7.66633i −0.366311 0.366311i
\(439\) 3.64758 12.4225i 0.174089 0.592894i −0.825504 0.564396i \(-0.809109\pi\)
0.999594 0.0284983i \(-0.00907253\pi\)
\(440\) 1.57992 1.67427i 0.0753198 0.0798177i
\(441\) −6.35760 4.08578i −0.302743 0.194561i
\(442\) −13.6357 + 10.2075i −0.648583 + 0.485523i
\(443\) −37.2575 8.10486i −1.77015 0.385074i −0.795002 0.606607i \(-0.792530\pi\)
−0.975153 + 0.221533i \(0.928894\pi\)
\(444\) 1.90104 + 4.16269i 0.0902192 + 0.197552i
\(445\) 1.23558 10.8092i 0.0585722 0.512404i
\(446\) −1.55508 10.8158i −0.0736354 0.512145i
\(447\) −8.13639 + 3.03472i −0.384838 + 0.143537i
\(448\) −1.82853 + 3.34870i −0.0863898 + 0.158211i
\(449\) −7.14049 24.3183i −0.336981 1.14765i −0.937484 0.348029i \(-0.886851\pi\)
0.600503 0.799622i \(-0.294967\pi\)
\(450\) −1.34411 4.81595i −0.0633619 0.227026i
\(451\) −2.78926 + 0.401035i −0.131341 + 0.0188840i
\(452\) 0.167113 2.33655i 0.00786035 0.109902i
\(453\) −7.35241 + 19.7126i −0.345446 + 0.926178i
\(454\) 9.07895 5.83469i 0.426096 0.273835i
\(455\) −17.8897 26.1390i −0.838683 1.22542i
\(456\) 3.89040 6.05358i 0.182185 0.283485i
\(457\) −0.00420444 0.000300707i −0.000196675 1.40665e-5i −0.0714375 0.997445i \(-0.522759\pi\)
0.0712408 + 0.997459i \(0.477304\pi\)
\(458\) −17.8297 + 9.73573i −0.833126 + 0.454921i
\(459\) −4.58780 −0.214140
\(460\) 6.53427 8.50314i 0.304662 0.396461i
\(461\) 8.86813 0.413030 0.206515 0.978443i \(-0.433788\pi\)
0.206515 + 0.978443i \(0.433788\pi\)
\(462\) 3.44748 1.88247i 0.160391 0.0875802i
\(463\) 14.5584 1.04124i 0.676586 0.0483904i 0.271182 0.962528i \(-0.412585\pi\)
0.405404 + 0.914138i \(0.367131\pi\)
\(464\) −0.296437 + 0.461265i −0.0137618 + 0.0214137i
\(465\) −24.0552 4.50703i −1.11553 0.209009i
\(466\) 18.0435 11.5959i 0.835850 0.537168i
\(467\) 10.8235 29.0190i 0.500853 1.34284i −0.403080 0.915165i \(-0.632060\pi\)
0.903933 0.427675i \(-0.140667\pi\)
\(468\) −0.264860 + 3.70322i −0.0122431 + 0.171182i
\(469\) 28.6232 4.11540i 1.32170 0.190032i
\(470\) 3.36024 + 10.3268i 0.154996 + 0.476341i
\(471\) 0.615388 + 2.09582i 0.0283556 + 0.0965702i
\(472\) 0.552751 1.01229i 0.0254424 0.0465943i
\(473\) 1.37096 0.511343i 0.0630370 0.0235116i
\(474\) −0.171936 1.19584i −0.00789726 0.0549267i
\(475\) −29.0901 + 21.1730i −1.33474 + 0.971483i
\(476\) −7.27155 15.9225i −0.333291 0.729806i
\(477\) 2.98454 + 0.649247i 0.136653 + 0.0297270i
\(478\) 8.90021 6.66261i 0.407086 0.304741i
\(479\) 7.85520 + 5.04823i 0.358913 + 0.230660i 0.707653 0.706560i \(-0.249754\pi\)
−0.348740 + 0.937220i \(0.613390\pi\)
\(480\) −2.23513 + 0.0648035i −0.102019 + 0.00295786i
\(481\) −4.78667 + 16.3019i −0.218253 + 0.743302i
\(482\) −5.93574 5.93574i −0.270365 0.270365i
\(483\) 15.0916 10.3470i 0.686693 0.470805i
\(484\) 9.94013i 0.451824i
\(485\) 12.3770 36.3700i 0.562010 1.65148i
\(486\) −0.654861 + 0.755750i −0.0297051 + 0.0342815i
\(487\) 19.0944 4.15374i 0.865251 0.188224i 0.242029 0.970269i \(-0.422187\pi\)
0.623222 + 0.782045i \(0.285823\pi\)
\(488\) 0.678406 + 0.906244i 0.0307100 + 0.0410237i
\(489\) −13.3190 20.7248i −0.602307 0.937207i
\(490\) 15.6554 6.36184i 0.707237 0.287399i
\(491\) 18.5970 + 21.4621i 0.839272 + 0.968571i 0.999830 0.0184554i \(-0.00587486\pi\)
−0.160558 + 0.987026i \(0.551329\pi\)
\(492\) 2.19124 + 1.64034i 0.0987887 + 0.0739523i
\(493\) −0.879086 2.35692i −0.0395921 0.106150i
\(494\) 25.6339 7.52680i 1.15332 0.338647i
\(495\) 1.97184 + 1.18792i 0.0886278 + 0.0533932i
\(496\) −4.54673 + 9.95594i −0.204154 + 0.447035i
\(497\) 10.9114 14.5759i 0.489444 0.653820i
\(498\) −12.3353 0.882241i −0.552760 0.0395342i
\(499\) −2.56408 + 1.17098i −0.114784 + 0.0524202i −0.471979 0.881610i \(-0.656460\pi\)
0.357195 + 0.934030i \(0.383733\pi\)
\(500\) 10.5349 + 3.74371i 0.471136 + 0.167424i
\(501\) 2.39618 16.6658i 0.107053 0.744573i
\(502\) 4.65507 + 21.3990i 0.207766 + 0.955084i
\(503\) −2.69869 37.7326i −0.120329 1.68241i −0.596151 0.802872i \(-0.703304\pi\)
0.475822 0.879542i \(-0.342151\pi\)
\(504\) −3.66085 1.07492i −0.163067 0.0478809i
\(505\) −15.1906 16.5371i −0.675973 0.735892i
\(506\) 0.498830 + 4.91204i 0.0221757 + 0.218367i
\(507\) −0.554382 + 0.554382i −0.0246210 + 0.0246210i
\(508\) −6.74062 12.3445i −0.299066 0.547699i
\(509\) −0.981047 0.850082i −0.0434841 0.0376792i 0.632848 0.774276i \(-0.281886\pi\)
−0.676332 + 0.736597i \(0.736431\pi\)
\(510\) 5.90719 8.38718i 0.261575 0.371391i
\(511\) 40.9449 + 5.88699i 1.81130 + 0.260425i
\(512\) −0.212565 + 0.977147i −0.00939415 + 0.0431842i
\(513\) 6.74220 + 2.51471i 0.297675 + 0.111027i
\(514\) 17.2118 14.9141i 0.759180 0.657833i
\(515\) 1.06727 + 10.5961i 0.0470296 + 0.466918i
\(516\) −1.29286 0.590427i −0.0569148 0.0259921i
\(517\) −4.38831 2.39620i −0.192997 0.105385i
\(518\) −15.3244 8.36777i −0.673317 0.367659i
\(519\) −8.44474 3.85658i −0.370683 0.169285i
\(520\) −6.42901 5.25242i −0.281931 0.230334i
\(521\) 0.334956 0.290241i 0.0146747 0.0127157i −0.647493 0.762072i \(-0.724182\pi\)
0.662167 + 0.749356i \(0.269637\pi\)
\(522\) −0.513736 0.191614i −0.0224856 0.00838671i
\(523\) −5.59147 + 25.7036i −0.244498 + 1.12394i 0.677130 + 0.735864i \(0.263224\pi\)
−0.921628 + 0.388075i \(0.873140\pi\)
\(524\) −13.8472 1.99093i −0.604918 0.0869741i
\(525\) 15.1170 + 11.6365i 0.659761 + 0.507858i
\(526\) 14.6792 + 12.7196i 0.640045 + 0.554602i
\(527\) −24.0648 44.0714i −1.04828 1.91978i
\(528\) 0.727965 0.727965i 0.0316806 0.0316806i
\(529\) 4.62373 + 22.5304i 0.201032 + 0.979585i
\(530\) −5.02977 + 4.62022i −0.218479 + 0.200689i
\(531\) 1.10665 + 0.324941i 0.0480245 + 0.0141013i
\(532\) 1.95864 + 27.3853i 0.0849177 + 1.18730i
\(533\) 2.16016 + 9.93010i 0.0935670 + 0.430120i
\(534\) 0.692432 4.81597i 0.0299645 0.208407i
\(535\) 0.516284 + 0.883618i 0.0223209 + 0.0382021i
\(536\) 6.89426 3.14850i 0.297787 0.135995i
\(537\) 2.83571 + 0.202814i 0.122370 + 0.00875207i
\(538\) 4.74322 6.33619i 0.204495 0.273173i
\(539\) −3.23202 + 7.07713i −0.139213 + 0.304834i
\(540\) −0.538433 2.17027i −0.0231705 0.0933937i
\(541\) 33.7081 9.89759i 1.44922 0.425531i 0.539939 0.841704i \(-0.318447\pi\)
0.909285 + 0.416174i \(0.136629\pi\)
\(542\) −5.36629 14.3876i −0.230502 0.617999i
\(543\) 6.27078 + 4.69425i 0.269105 + 0.201449i
\(544\) −3.00437 3.46723i −0.128811 0.148656i
\(545\) −7.50913 + 17.7898i −0.321656 + 0.762033i
\(546\) −7.65838 11.9167i −0.327748 0.509987i
\(547\) −24.2196 32.3536i −1.03556 1.38334i −0.920839 0.389943i \(-0.872495\pi\)
−0.114717 0.993398i \(-0.536596\pi\)
\(548\) −12.0385 + 2.61882i −0.514260 + 0.111870i
\(549\) −0.741328 + 0.855538i −0.0316391 + 0.0365135i
\(550\) −4.71062 + 2.07527i −0.200861 + 0.0884899i
\(551\) 3.94557i 0.168087i
\(552\) 3.03119 3.71643i 0.129016 0.158182i
\(553\) 3.25942 + 3.25942i 0.138605 + 0.138605i
\(554\) −7.51094 + 25.5799i −0.319109 + 1.08679i
\(555\) −0.296556 10.2285i −0.0125881 0.434174i
\(556\) −14.4702 9.29944i −0.613673 0.394384i
\(557\) −1.27195 + 0.952173i −0.0538944 + 0.0403448i −0.625885 0.779915i \(-0.715262\pi\)
0.571991 + 0.820260i \(0.306171\pi\)
\(558\) −10.6949 2.32653i −0.452751 0.0984899i
\(559\) −2.19207 4.79996i −0.0927146 0.203017i
\(560\) 6.67877 5.30852i 0.282230 0.224326i
\(561\) 0.672172 + 4.67506i 0.0283791 + 0.197381i
\(562\) −1.59672 + 0.595546i −0.0673536 + 0.0251216i
\(563\) −4.61729 + 8.45593i −0.194595 + 0.356375i −0.956698 0.291081i \(-0.905985\pi\)
0.762103 + 0.647456i \(0.224167\pi\)
\(564\) 1.36827 + 4.65991i 0.0576147 + 0.196217i
\(565\) −2.37603 + 4.66813i −0.0999604 + 0.196390i
\(566\) −26.4952 + 3.80943i −1.11367 + 0.160122i
\(567\) 0.272188 3.80568i 0.0114308 0.159824i
\(568\) 1.66769 4.47125i 0.0699747 0.187609i
\(569\) −14.4415 + 9.28100i −0.605420 + 0.389080i −0.807137 0.590364i \(-0.798984\pi\)
0.201717 + 0.979444i \(0.435348\pi\)
\(570\) −13.2784 + 9.08784i −0.556172 + 0.380648i
\(571\) −18.2223 + 28.3544i −0.762579 + 1.18660i 0.215121 + 0.976587i \(0.430985\pi\)
−0.977700 + 0.210008i \(0.932651\pi\)
\(572\) 3.81246 0.272673i 0.159407 0.0114010i
\(573\) 15.8791 8.67063i 0.663358 0.362221i
\(574\) −10.4435 −0.435903
\(575\) −20.8550 + 11.8351i −0.869713 + 0.493557i
\(576\) −1.00000 −0.0416667
\(577\) 10.8099 5.90263i 0.450020 0.245730i −0.238222 0.971211i \(-0.576565\pi\)
0.688242 + 0.725481i \(0.258383\pi\)
\(578\) 4.03763 0.288777i 0.167943 0.0120115i
\(579\) −12.4567 + 19.3830i −0.517683 + 0.805531i
\(580\) 1.01178 0.692467i 0.0420118 0.0287531i
\(581\) 39.6941 25.5099i 1.64679 1.05833i
\(582\) 6.00421 16.0979i 0.248883 0.667280i
\(583\) 0.224322 3.13643i 0.00929045 0.129898i
\(584\) 10.7315 1.54295i 0.444072 0.0638479i
\(585\) 3.76580 7.39857i 0.155697 0.305893i
\(586\) −0.513945 1.75034i −0.0212309 0.0723057i
\(587\) −4.30420 + 7.88255i −0.177653 + 0.325348i −0.951298 0.308271i \(-0.900249\pi\)
0.773645 + 0.633619i \(0.218431\pi\)
\(588\) 7.08080 2.64100i 0.292007 0.108913i
\(589\) 11.2086 + 77.9577i 0.461843 + 3.21219i
\(590\) −2.01895 + 1.60473i −0.0831187 + 0.0660656i
\(591\) 8.16529 + 17.8795i 0.335875 + 0.735464i
\(592\) −4.47165 0.972748i −0.183784 0.0399797i
\(593\) −21.4421 + 16.0513i −0.880520 + 0.659149i −0.940774 0.339034i \(-0.889900\pi\)
0.0602539 + 0.998183i \(0.480809\pi\)
\(594\) 0.866069 + 0.556589i 0.0355352 + 0.0228371i
\(595\) 1.13434 + 39.1244i 0.0465034 + 1.60394i
\(596\) 2.44654 8.33215i 0.100214 0.341298i
\(597\) −6.12580 6.12580i −0.250712 0.250712i
\(598\) 17.5408 3.05807i 0.717298 0.125054i
\(599\) 37.2455i 1.52181i 0.648865 + 0.760904i \(0.275244\pi\)
−0.648865 + 0.760904i \(0.724756\pi\)
\(600\) 4.66086 + 1.81008i 0.190279 + 0.0738961i
\(601\) 8.09365 9.34057i 0.330147 0.381010i −0.566271 0.824219i \(-0.691615\pi\)
0.896418 + 0.443209i \(0.146160\pi\)
\(602\) 5.29888 1.15270i 0.215966 0.0469806i
\(603\) 4.54203 + 6.06744i 0.184966 + 0.247085i
\(604\) −11.3746 17.6992i −0.462826 0.720171i
\(605\) −8.64353 + 20.4773i −0.351409 + 0.832521i
\(606\) −6.57625 7.58940i −0.267142 0.308298i
\(607\) −1.74871 1.30907i −0.0709779 0.0531334i 0.563200 0.826321i \(-0.309570\pi\)
−0.634177 + 0.773188i \(0.718661\pi\)
\(608\) 2.51471 + 6.74220i 0.101985 + 0.273432i
\(609\) 2.00727 0.589388i 0.0813387 0.0238832i
\(610\) −0.609528 2.45683i −0.0246790 0.0994743i
\(611\) −7.49041 + 16.4017i −0.303030 + 0.663542i
\(612\) 2.74937 3.67273i 0.111137 0.148461i
\(613\) 29.2896 + 2.09484i 1.18300 + 0.0846096i 0.648940 0.760839i \(-0.275212\pi\)
0.534056 + 0.845449i \(0.320667\pi\)
\(614\) 25.9371 11.8451i 1.04674 0.478028i
\(615\) −3.08772 5.28462i −0.124509 0.213096i
\(616\) −0.559006 + 3.88797i −0.0225230 + 0.156651i
\(617\) −7.55232 34.7174i −0.304045 1.39767i −0.834990 0.550265i \(-0.814527\pi\)
0.530945 0.847406i \(-0.321837\pi\)
\(618\) 0.339766 + 4.75054i 0.0136674 + 0.191095i
\(619\) 40.0749 + 11.7671i 1.61075 + 0.472958i 0.958511 0.285056i \(-0.0920123\pi\)
0.652237 + 0.758015i \(0.273831\pi\)
\(620\) 18.0238 16.5562i 0.723854 0.664915i
\(621\) 4.27583 + 2.17194i 0.171583 + 0.0871568i
\(622\) −18.7303 + 18.7303i −0.751017 + 0.751017i
\(623\) 8.89669 + 16.2931i 0.356438 + 0.652768i
\(624\) −2.80586 2.43129i −0.112324 0.0973295i
\(625\) −18.4472 16.8730i −0.737890 0.674921i
\(626\) −0.592160 0.0851398i −0.0236675 0.00340287i
\(627\) 1.57472 7.23887i 0.0628883 0.289093i
\(628\) −2.04658 0.763334i −0.0816674 0.0304603i
\(629\) 15.8669 13.7487i 0.632653 0.548197i
\(630\) 6.60688 + 5.39774i 0.263225 + 0.215051i
\(631\) −31.1664 14.2332i −1.24072 0.566616i −0.316539 0.948580i \(-0.602521\pi\)
−0.924177 + 0.381964i \(0.875248\pi\)
\(632\) 1.06035 + 0.578998i 0.0421786 + 0.0230313i
\(633\) 1.13617 + 0.620396i 0.0451587 + 0.0246585i
\(634\) −28.4192 12.9786i −1.12867 0.515447i
\(635\) 3.15183 + 31.2919i 0.125076 + 1.24178i
\(636\) −2.30832 + 2.00017i −0.0915307 + 0.0793118i
\(637\) 26.2888 + 9.80520i 1.04160 + 0.388496i
\(638\) −0.119989 + 0.551581i −0.00475042 + 0.0218373i
\(639\) 4.72356 + 0.679146i 0.186861 + 0.0268666i
\(640\) 1.28758 1.82815i 0.0508963 0.0722639i
\(641\) 21.1563 + 18.3321i 0.835625 + 0.724073i 0.963497 0.267718i \(-0.0862694\pi\)
−0.127873 + 0.991791i \(0.540815\pi\)
\(642\) 0.219340 + 0.401691i 0.00865666 + 0.0158535i
\(643\) −3.13320 + 3.13320i −0.123561 + 0.123561i −0.766183 0.642622i \(-0.777847\pi\)
0.642622 + 0.766183i \(0.277847\pi\)
\(644\) −0.760870 + 18.2822i −0.0299825 + 0.720419i
\(645\) 2.14995 + 2.34053i 0.0846544 + 0.0921584i
\(646\) −31.6761 9.30095i −1.24628 0.365941i
\(647\) 2.70394 + 37.8060i 0.106303 + 1.48631i 0.718458 + 0.695570i \(0.244848\pi\)
−0.612155 + 0.790738i \(0.709697\pi\)
\(648\) −0.212565 0.977147i −0.00835035 0.0383860i
\(649\) 0.168983 1.17530i 0.00663318 0.0461348i
\(650\) 8.67690 + 16.4107i 0.340336 + 0.643682i
\(651\) 37.9859 17.3476i 1.48879 0.679905i
\(652\) 24.5728 + 1.75748i 0.962346 + 0.0688284i
\(653\) −9.88293 + 13.2020i −0.386749 + 0.516636i −0.951093 0.308903i \(-0.900038\pi\)
0.564345 + 0.825539i \(0.309129\pi\)
\(654\) −3.58734 + 7.85519i −0.140276 + 0.307162i
\(655\) 26.7949 + 16.1424i 1.04696 + 0.630736i
\(656\) −2.62632 + 0.771157i −0.102541 + 0.0301086i
\(657\) 3.78883 + 10.1582i 0.147816 + 0.396311i
\(658\) −14.8340 11.1046i −0.578291 0.432903i
\(659\) −5.14042 5.93236i −0.200242 0.231092i 0.646743 0.762708i \(-0.276130\pi\)
−0.846986 + 0.531616i \(0.821585\pi\)
\(660\) −2.13266 + 0.866647i −0.0830138 + 0.0337342i
\(661\) 8.01024 + 12.4642i 0.311562 + 0.484801i 0.961355 0.275311i \(-0.0887808\pi\)
−0.649793 + 0.760111i \(0.725144\pi\)
\(662\) −13.5731 18.1316i −0.527535 0.704704i
\(663\) 16.6438 3.62064i 0.646392 0.140614i
\(664\) 8.09856 9.34624i 0.314285 0.362704i
\(665\) 19.7782 58.1187i 0.766966 2.25375i
\(666\) 4.57623i 0.177325i
\(667\) −0.296496 + 2.61282i −0.0114804 + 0.101169i
\(668\) 11.9057 + 11.9057i 0.460645 + 0.460645i
\(669\) −3.07851 + 10.4844i −0.119022 + 0.405352i
\(670\) −16.9404 + 0.491157i −0.654466 + 0.0189751i
\(671\) 0.980424 + 0.630080i 0.0378488 + 0.0243240i
\(672\) 3.05439 2.28648i 0.117826 0.0882031i
\(673\) −0.784141 0.170579i −0.0302264 0.00657535i 0.197427 0.980318i \(-0.436742\pi\)
−0.227653 + 0.973742i \(0.573105\pi\)
\(674\) 7.18843 + 15.7405i 0.276888 + 0.606300i
\(675\) −0.777973 + 4.93910i −0.0299442 + 0.190106i
\(676\) −0.111577 0.776035i −0.00429142 0.0298475i
\(677\) 30.6231 11.4218i 1.17694 0.438976i 0.316532 0.948582i \(-0.397481\pi\)
0.860408 + 0.509606i \(0.170209\pi\)
\(678\) −1.12265 + 2.05598i −0.0431151 + 0.0789594i
\(679\) 18.4685 + 62.8978i 0.708754 + 2.41380i
\(680\) 3.17424 + 9.75520i 0.121727 + 0.374095i
\(681\) −10.6823 + 1.53589i −0.409347 + 0.0588553i
\(682\) −0.803841 + 11.2392i −0.0307807 + 0.430370i
\(683\) 8.23038 22.0665i 0.314927 0.844351i −0.678983 0.734154i \(-0.737579\pi\)
0.993910 0.110197i \(-0.0351483\pi\)
\(684\) −6.05358 + 3.89040i −0.231464 + 0.148753i
\(685\) 27.0773 + 5.07326i 1.03457 + 0.193839i
\(686\) −1.14956 + 1.78874i −0.0438902 + 0.0682946i
\(687\) 20.2628 1.44922i 0.773074 0.0552914i
\(688\) 1.24744 0.681154i 0.0475582 0.0259688i
\(689\) −11.3398 −0.432012
\(690\) −9.47611 + 5.02029i −0.360749 + 0.191119i
\(691\) 0.344921 0.0131214 0.00656070 0.999978i \(-0.497912\pi\)
0.00656070 + 0.999978i \(0.497912\pi\)
\(692\) 8.14810 4.44920i 0.309744 0.169133i
\(693\) −3.91794 + 0.280217i −0.148830 + 0.0106446i
\(694\) −9.67278 + 15.0511i −0.367174 + 0.571333i
\(695\) 21.7232 + 31.7401i 0.824006 + 1.20397i
\(696\) 0.461265 0.296437i 0.0174842 0.0112364i
\(697\) 4.38847 11.7660i 0.166225 0.445667i
\(698\) 1.91243 26.7392i 0.0723865 1.01210i
\(699\) −21.2301 + 3.05242i −0.802995 + 0.115453i
\(700\) −18.3748 + 5.12832i −0.694501 + 0.193832i
\(701\) −4.35467 14.8307i −0.164474 0.560146i −0.999944 0.0106100i \(-0.996623\pi\)
0.835470 0.549536i \(-0.185196\pi\)
\(702\) 1.77930 3.25854i 0.0671553 0.122986i
\(703\) −30.8539 + 11.5079i −1.16368 + 0.434029i
\(704\) 0.146513 + 1.01902i 0.00552191 + 0.0384057i
\(705\) 1.23333 10.7895i 0.0464500 0.406356i
\(706\) 12.8160 + 28.0631i 0.482336 + 1.05617i
\(707\) 37.4395 + 8.14446i 1.40806 + 0.306304i
\(708\) −0.923319 + 0.691188i −0.0347004 + 0.0259764i
\(709\) 20.3042 + 13.0487i 0.762539 + 0.490054i 0.863197 0.504867i \(-0.168459\pi\)
−0.100658 + 0.994921i \(0.532095\pi\)
\(710\) −7.32356 + 7.76091i −0.274848 + 0.291262i
\(711\) −0.340371 + 1.15920i −0.0127649 + 0.0434733i
\(712\) 3.44042 + 3.44042i 0.128935 + 0.128935i
\(713\) 1.56429 + 52.4672i 0.0585830 + 1.96491i
\(714\) 17.5043i 0.655082i
\(715\) −8.09103 2.75344i −0.302587 0.102973i
\(716\) −1.86174 + 2.14856i −0.0695764 + 0.0802955i
\(717\) −10.8637 + 2.36325i −0.405711 + 0.0882570i
\(718\) 19.7790 + 26.4217i 0.738146 + 0.986048i
\(719\) −26.8722 41.8140i −1.00216 1.55940i −0.816957 0.576699i \(-0.804341\pi\)
−0.185208 0.982699i \(-0.559296\pi\)
\(720\) 2.06006 + 0.869559i 0.0767741 + 0.0324065i
\(721\) −11.8998 13.7331i −0.443172 0.511448i
\(722\) 26.2426 + 19.6450i 0.976648 + 0.731109i
\(723\) 2.93354 + 7.86513i 0.109100 + 0.292507i
\(724\) −7.51588 + 2.20686i −0.279325 + 0.0820173i
\(725\) −2.68647 + 0.546727i −0.0997729 + 0.0203049i
\(726\) −4.12928 + 9.04186i −0.153252 + 0.335575i
\(727\) 21.1933 28.3110i 0.786017 1.05000i −0.211345 0.977411i \(-0.567784\pi\)
0.997362 0.0725843i \(-0.0231246\pi\)
\(728\) 14.1293 + 1.01055i 0.523666 + 0.0374533i
\(729\) 0.909632 0.415415i 0.0336901 0.0153857i
\(730\) −23.4492 6.15306i −0.867895 0.227735i
\(731\) −0.927981 + 6.45425i −0.0343226 + 0.238719i
\(732\) −0.240632 1.10617i −0.00889402 0.0408852i
\(733\) −0.948714 13.2648i −0.0350415 0.489945i −0.984423 0.175818i \(-0.943743\pi\)
0.949381 0.314127i \(-0.101712\pi\)
\(734\) 31.1103 + 9.13479i 1.14830 + 0.337171i
\(735\) −16.8834 0.716536i −0.622754 0.0264298i
\(736\) 1.15863 + 4.65377i 0.0427077 + 0.171540i
\(737\) 5.51737 5.51737i 0.203235 0.203235i
\(738\) −1.31180 2.40238i −0.0482880 0.0884328i
\(739\) 20.1494 + 17.4595i 0.741206 + 0.642259i 0.941321 0.337514i \(-0.109586\pi\)
−0.200114 + 0.979773i \(0.564131\pi\)
\(740\) 8.36603 + 5.89229i 0.307541 + 0.216605i
\(741\) −26.4442 3.80210i −0.971451 0.139674i
\(742\) 2.47714 11.3872i 0.0909386 0.418038i
\(743\) −5.30052 1.97699i −0.194457 0.0725288i 0.250349 0.968156i \(-0.419455\pi\)
−0.444806 + 0.895627i \(0.646727\pi\)
\(744\) 8.27169 7.16746i 0.303255 0.262772i
\(745\) −12.2853 + 15.0374i −0.450100 + 0.550926i
\(746\) −21.6794 9.90063i −0.793737 0.362488i
\(747\) 10.8541 + 5.92680i 0.397132 + 0.216850i
\(748\) −4.14540 2.26356i −0.151571 0.0827639i
\(749\) −1.58841 0.725403i −0.0580393 0.0265056i
\(750\) −8.02771 7.78177i −0.293130 0.284150i
\(751\) 25.0146 21.6753i 0.912795 0.790941i −0.0655658 0.997848i \(-0.520885\pi\)
0.978361 + 0.206907i \(0.0663398\pi\)
\(752\) −4.55042 1.69722i −0.165937 0.0618912i
\(753\) 4.65507 21.3990i 0.169640 0.779823i
\(754\) 2.01497 + 0.289709i 0.0733809 + 0.0105506i
\(755\) 8.04190 + 46.3524i 0.292675 + 1.68694i
\(756\) 2.88349 + 2.49856i 0.104871 + 0.0908716i
\(757\) 0.855857 + 1.56738i 0.0311066 + 0.0569675i 0.892770 0.450513i \(-0.148759\pi\)
−0.861663 + 0.507480i \(0.830577\pi\)
\(758\) −2.85843 + 2.85843i −0.103823 + 0.103823i
\(759\) 1.58678 4.67537i 0.0575965 0.169705i
\(760\) 0.682272 16.0761i 0.0247486 0.583140i
\(761\) −19.8104 5.81687i −0.718128 0.210861i −0.0978022 0.995206i \(-0.531181\pi\)
−0.620325 + 0.784345i \(0.712999\pi\)
\(762\) 1.00338 + 14.0291i 0.0363487 + 0.508221i
\(763\) −7.00363 32.1952i −0.253549 1.16554i
\(764\) −2.57478 + 17.9080i −0.0931522 + 0.647888i
\(765\) −8.85753 + 5.17532i −0.320245 + 0.187114i
\(766\) −0.426981 + 0.194996i −0.0154275 + 0.00704548i
\(767\) −4.27118 0.305481i −0.154223 0.0110303i
\(768\) 0.599278 0.800541i 0.0216246 0.0288870i
\(769\) −20.7896 + 45.5228i −0.749691 + 1.64159i 0.0172292 + 0.999852i \(0.494516\pi\)
−0.766920 + 0.641743i \(0.778212\pi\)
\(770\) 4.53240 7.52338i 0.163337 0.271124i
\(771\) −21.8520 + 6.41631i −0.786979 + 0.231078i
\(772\) −8.05188 21.5879i −0.289793 0.776966i
\(773\)