Properties

Label 78.2.k.a.59.3
Level $78$
Weight $2$
Character 78.59
Analytic conductor $0.623$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 78 = 2 \cdot 3 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 78.k (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.622833135766\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: 16.0.9349208943630483456.9
Defining polynomial: \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + 9297 x^{8} - 11276 x^{7} + 11224 x^{6} - 9024 x^{5} + 5736 x^{4} - 2780 x^{3} + \cdots + 25 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 59.3
Root \(0.500000 + 0.589118i\) of defining polynomial
Character \(\chi\) \(=\) 78.59
Dual form 78.2.k.a.41.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(-1.45865 + 0.933998i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-2.02097 + 2.02097i) q^{5} +(-1.27970 - 1.16721i) q^{6} +(3.46723 + 0.929042i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.25529 - 2.72474i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(-1.45865 + 0.933998i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-2.02097 + 2.02097i) q^{5} +(-1.27970 - 1.16721i) q^{6} +(3.46723 + 0.929042i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.25529 - 2.72474i) q^{9} +(-2.47517 - 1.42904i) q^{10} +(4.05922 - 1.08766i) q^{11} +(0.796225 - 1.53819i) q^{12} +(-3.60121 + 0.176977i) q^{13} +3.58954i q^{14} +(1.06030 - 4.83546i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.72704 + 2.99132i) q^{17} +(2.95680 + 0.507306i) q^{18} +(0.581191 - 2.16903i) q^{19} +(0.739726 - 2.76070i) q^{20} +(-5.92518 + 1.88324i) q^{21} +(2.10121 + 3.63939i) q^{22} +(1.51618 - 2.62611i) q^{23} +(1.69185 + 0.370982i) q^{24} -3.16864i q^{25} +(-1.10301 - 3.43269i) q^{26} +(0.713876 + 5.14688i) q^{27} +(-3.46723 + 0.929042i) q^{28} +(-1.74432 - 1.00708i) q^{29} +(4.94512 - 0.227341i) q^{30} +(1.21829 + 1.21829i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-4.90508 + 5.37782i) q^{33} +(-2.44240 + 2.44240i) q^{34} +(-8.88473 + 5.12960i) q^{35} +(0.275255 + 2.98735i) q^{36} +(-1.25335 - 4.67758i) q^{37} +2.24555 q^{38} +(5.08759 - 3.62167i) q^{39} +2.85808 q^{40} +(-2.05521 - 7.67015i) q^{41} +(-3.35262 - 5.23587i) q^{42} +(-1.68905 + 0.975173i) q^{43} +(-2.97155 + 2.97155i) q^{44} +(2.96971 + 8.04354i) q^{45} +(2.92904 + 0.784834i) q^{46} +(0.957390 + 0.957390i) q^{47} +(0.0795432 + 1.73022i) q^{48} +(5.09639 + 2.94240i) q^{49} +(3.06067 - 0.820104i) q^{50} +(-5.31303 - 2.75023i) q^{51} +(3.03025 - 1.95387i) q^{52} +7.22186i q^{53} +(-4.78674 + 2.02166i) q^{54} +(-6.00542 + 10.4017i) q^{55} +(-1.79477 - 3.10863i) q^{56} +(1.17812 + 3.70668i) q^{57} +(0.521304 - 1.94553i) q^{58} +(2.66284 - 9.93785i) q^{59} +(1.49949 + 4.71778i) q^{60} +(-0.137104 - 0.237470i) q^{61} +(-0.861464 + 1.49210i) q^{62} +(6.88380 - 8.28110i) q^{63} +1.00000i q^{64} +(6.92026 - 7.63559i) q^{65} +(-6.46410 - 3.34607i) q^{66} +(4.10121 - 1.09891i) q^{67} +(-2.99132 - 1.72704i) q^{68} +(0.241204 + 5.24667i) q^{69} +(-7.25436 - 7.25436i) q^{70} +(-10.6578 - 2.85575i) q^{71} +(-2.81431 + 1.03906i) q^{72} +(10.0822 - 10.0822i) q^{73} +(4.19381 - 2.42130i) q^{74} +(2.95950 + 4.62192i) q^{75} +(0.581191 + 2.16903i) q^{76} +15.0847 q^{77} +(4.81502 + 3.97688i) q^{78} +1.58051 q^{79} +(0.739726 + 2.76070i) q^{80} +(-5.84847 - 6.84072i) q^{81} +(6.87686 - 3.97036i) q^{82} +(2.58938 - 2.58938i) q^{83} +(4.18974 - 4.59353i) q^{84} +(-9.53567 - 2.55507i) q^{85} +(-1.37910 - 1.37910i) q^{86} +(3.48495 - 0.160213i) q^{87} +(-3.63939 - 2.10121i) q^{88} +(-9.50933 + 2.54802i) q^{89} +(-7.00085 + 4.95035i) q^{90} +(-12.6506 - 2.73205i) q^{91} +3.03237i q^{92} +(-2.91495 - 0.639175i) q^{93} +(-0.676977 + 1.17256i) q^{94} +(3.20898 + 5.55812i) q^{95} +(-1.65068 + 0.524648i) q^{96} +(-2.07638 + 7.74915i) q^{97} +(-1.52310 + 5.68429i) q^{98} +(2.13191 - 12.4257i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{7} - 24 q^{10} - 24 q^{13} + 8 q^{16} - 16 q^{19} - 24 q^{21} - 8 q^{28} + 24 q^{30} + 16 q^{31} - 24 q^{33} + 24 q^{34} + 24 q^{36} + 16 q^{37} + 48 q^{39} + 24 q^{45} + 24 q^{46} + 24 q^{49} - 8 q^{52} - 24 q^{55} - 24 q^{57} - 24 q^{60} - 24 q^{61} - 24 q^{63} - 48 q^{66} + 32 q^{67} - 48 q^{69} - 24 q^{72} + 56 q^{73} - 16 q^{76} - 96 q^{79} + 24 q^{81} - 48 q^{82} - 24 q^{85} + 48 q^{87} - 16 q^{91} - 24 q^{93} - 24 q^{94} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).

\(n\) \(53\) \(67\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) −1.45865 + 0.933998i −0.842150 + 0.539244i
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −2.02097 + 2.02097i −0.903805 + 0.903805i −0.995763 0.0919576i \(-0.970688\pi\)
0.0919576 + 0.995763i \(0.470688\pi\)
\(6\) −1.27970 1.16721i −0.522435 0.476510i
\(7\) 3.46723 + 0.929042i 1.31049 + 0.351145i 0.845407 0.534122i \(-0.179358\pi\)
0.465083 + 0.885267i \(0.346025\pi\)
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 1.25529 2.72474i 0.418432 0.908248i
\(10\) −2.47517 1.42904i −0.782718 0.451903i
\(11\) 4.05922 1.08766i 1.22390 0.327943i 0.411699 0.911320i \(-0.364936\pi\)
0.812201 + 0.583377i \(0.198269\pi\)
\(12\) 0.796225 1.53819i 0.229850 0.444037i
\(13\) −3.60121 + 0.176977i −0.998795 + 0.0490845i
\(14\) 3.58954i 0.959345i
\(15\) 1.06030 4.83546i 0.273768 1.24851i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.72704 + 2.99132i 0.418869 + 0.725502i 0.995826 0.0912724i \(-0.0290934\pi\)
−0.576957 + 0.816774i \(0.695760\pi\)
\(18\) 2.95680 + 0.507306i 0.696923 + 0.119573i
\(19\) 0.581191 2.16903i 0.133334 0.497611i −0.866665 0.498891i \(-0.833741\pi\)
0.999999 + 0.00128023i \(0.000407509\pi\)
\(20\) 0.739726 2.76070i 0.165408 0.617310i
\(21\) −5.92518 + 1.88324i −1.29298 + 0.410958i
\(22\) 2.10121 + 3.63939i 0.447978 + 0.775921i
\(23\) 1.51618 2.62611i 0.316146 0.547581i −0.663534 0.748146i \(-0.730944\pi\)
0.979680 + 0.200565i \(0.0642777\pi\)
\(24\) 1.69185 + 0.370982i 0.345348 + 0.0757264i
\(25\) 3.16864i 0.633728i
\(26\) −1.10301 3.43269i −0.216317 0.673206i
\(27\) 0.713876 + 5.14688i 0.137386 + 0.990518i
\(28\) −3.46723 + 0.929042i −0.655245 + 0.175572i
\(29\) −1.74432 1.00708i −0.323911 0.187010i 0.329223 0.944252i \(-0.393213\pi\)
−0.653135 + 0.757242i \(0.726546\pi\)
\(30\) 4.94512 0.227341i 0.902852 0.0415066i
\(31\) 1.21829 + 1.21829i 0.218812 + 0.218812i 0.807998 0.589186i \(-0.200551\pi\)
−0.589186 + 0.807998i \(0.700551\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) −4.90508 + 5.37782i −0.853865 + 0.936158i
\(34\) −2.44240 + 2.44240i −0.418869 + 0.418869i
\(35\) −8.88473 + 5.12960i −1.50179 + 0.867061i
\(36\) 0.275255 + 2.98735i 0.0458759 + 0.497891i
\(37\) −1.25335 4.67758i −0.206050 0.768990i −0.989127 0.147065i \(-0.953017\pi\)
0.783077 0.621925i \(-0.213649\pi\)
\(38\) 2.24555 0.364276
\(39\) 5.08759 3.62167i 0.814666 0.579931i
\(40\) 2.85808 0.451903
\(41\) −2.05521 7.67015i −0.320970 1.19788i −0.918302 0.395881i \(-0.870439\pi\)
0.597332 0.801994i \(-0.296228\pi\)
\(42\) −3.35262 5.23587i −0.517321 0.807912i
\(43\) −1.68905 + 0.975173i −0.257578 + 0.148712i −0.623229 0.782039i \(-0.714180\pi\)
0.365651 + 0.930752i \(0.380846\pi\)
\(44\) −2.97155 + 2.97155i −0.447978 + 0.447978i
\(45\) 2.96971 + 8.04354i 0.442699 + 1.19906i
\(46\) 2.92904 + 0.784834i 0.431864 + 0.115718i
\(47\) 0.957390 + 0.957390i 0.139650 + 0.139650i 0.773476 0.633826i \(-0.218516\pi\)
−0.633826 + 0.773476i \(0.718516\pi\)
\(48\) 0.0795432 + 1.73022i 0.0114811 + 0.249736i
\(49\) 5.09639 + 2.94240i 0.728056 + 0.420343i
\(50\) 3.06067 0.820104i 0.432844 0.115980i
\(51\) −5.31303 2.75023i −0.743973 0.385109i
\(52\) 3.03025 1.95387i 0.420220 0.270953i
\(53\) 7.22186i 0.991999i 0.868323 + 0.495999i \(0.165198\pi\)
−0.868323 + 0.495999i \(0.834802\pi\)
\(54\) −4.78674 + 2.02166i −0.651393 + 0.275113i
\(55\) −6.00542 + 10.4017i −0.809771 + 1.40256i
\(56\) −1.79477 3.10863i −0.239836 0.415409i
\(57\) 1.17812 + 3.70668i 0.156046 + 0.490962i
\(58\) 0.521304 1.94553i 0.0684505 0.255461i
\(59\) 2.66284 9.93785i 0.346672 1.29380i −0.543975 0.839101i \(-0.683081\pi\)
0.890647 0.454696i \(-0.150252\pi\)
\(60\) 1.49949 + 4.71778i 0.193583 + 0.609063i
\(61\) −0.137104 0.237470i −0.0175543 0.0304050i 0.857115 0.515125i \(-0.172255\pi\)
−0.874669 + 0.484720i \(0.838921\pi\)
\(62\) −0.861464 + 1.49210i −0.109406 + 0.189497i
\(63\) 6.88380 8.28110i 0.867277 1.04332i
\(64\) 1.00000i 0.125000i
\(65\) 6.92026 7.63559i 0.858353 0.947079i
\(66\) −6.46410 3.34607i −0.795676 0.411872i
\(67\) 4.10121 1.09891i 0.501042 0.134254i 0.000558430 1.00000i \(-0.499822\pi\)
0.500484 + 0.865746i \(0.333156\pi\)
\(68\) −2.99132 1.72704i −0.362751 0.209434i
\(69\) 0.241204 + 5.24667i 0.0290376 + 0.631625i
\(70\) −7.25436 7.25436i −0.867061 0.867061i
\(71\) −10.6578 2.85575i −1.26485 0.338915i −0.436793 0.899562i \(-0.643886\pi\)
−0.828055 + 0.560647i \(0.810553\pi\)
\(72\) −2.81431 + 1.03906i −0.331670 + 0.122454i
\(73\) 10.0822 10.0822i 1.18003 1.18003i 0.200296 0.979735i \(-0.435810\pi\)
0.979735 0.200296i \(-0.0641903\pi\)
\(74\) 4.19381 2.42130i 0.487520 0.281470i
\(75\) 2.95950 + 4.62192i 0.341734 + 0.533694i
\(76\) 0.581191 + 2.16903i 0.0666672 + 0.248805i
\(77\) 15.0847 1.71906
\(78\) 4.81502 + 3.97688i 0.545194 + 0.450292i
\(79\) 1.58051 0.177821 0.0889105 0.996040i \(-0.471661\pi\)
0.0889105 + 0.996040i \(0.471661\pi\)
\(80\) 0.739726 + 2.76070i 0.0827039 + 0.308655i
\(81\) −5.84847 6.84072i −0.649830 0.760080i
\(82\) 6.87686 3.97036i 0.759423 0.438453i
\(83\) 2.58938 2.58938i 0.284221 0.284221i −0.550569 0.834790i \(-0.685589\pi\)
0.834790 + 0.550569i \(0.185589\pi\)
\(84\) 4.18974 4.59353i 0.457138 0.501195i
\(85\) −9.53567 2.55507i −1.03429 0.277137i
\(86\) −1.37910 1.37910i −0.148712 0.148712i
\(87\) 3.48495 0.160213i 0.373626 0.0171766i
\(88\) −3.63939 2.10121i −0.387961 0.223989i
\(89\) −9.50933 + 2.54802i −1.00799 + 0.270089i −0.724788 0.688972i \(-0.758062\pi\)
−0.283199 + 0.959061i \(0.591396\pi\)
\(90\) −7.00085 + 4.95035i −0.737954 + 0.521812i
\(91\) −12.6506 2.73205i −1.32615 0.286397i
\(92\) 3.03237i 0.316146i
\(93\) −2.91495 0.639175i −0.302266 0.0662794i
\(94\) −0.676977 + 1.17256i −0.0698248 + 0.120940i
\(95\) 3.20898 + 5.55812i 0.329235 + 0.570251i
\(96\) −1.65068 + 0.524648i −0.168472 + 0.0535466i
\(97\) −2.07638 + 7.74915i −0.210824 + 0.786807i 0.776771 + 0.629784i \(0.216856\pi\)
−0.987595 + 0.157023i \(0.949810\pi\)
\(98\) −1.52310 + 5.68429i −0.153856 + 0.574200i
\(99\) 2.13191 12.4257i 0.214265 1.24883i
\(100\) 1.58432 + 2.74412i 0.158432 + 0.274412i
\(101\) −1.05342 + 1.82458i −0.104820 + 0.181553i −0.913665 0.406469i \(-0.866760\pi\)
0.808845 + 0.588022i \(0.200093\pi\)
\(102\) 1.28140 5.84380i 0.126878 0.578623i
\(103\) 14.2629i 1.40537i 0.711503 + 0.702683i \(0.248015\pi\)
−0.711503 + 0.702683i \(0.751985\pi\)
\(104\) 2.67158 + 2.42130i 0.261970 + 0.237428i
\(105\) 8.16864 15.7806i 0.797178 1.54003i
\(106\) −6.97578 + 1.86915i −0.677548 + 0.181548i
\(107\) 11.9906 + 6.92275i 1.15917 + 0.669248i 0.951105 0.308867i \(-0.0999497\pi\)
0.208066 + 0.978115i \(0.433283\pi\)
\(108\) −3.19168 4.10039i −0.307119 0.394560i
\(109\) 5.84220 + 5.84220i 0.559581 + 0.559581i 0.929188 0.369607i \(-0.120508\pi\)
−0.369607 + 0.929188i \(0.620508\pi\)
\(110\) −11.6016 3.10863i −1.10617 0.296397i
\(111\) 6.19705 + 5.65231i 0.588198 + 0.536493i
\(112\) 2.53819 2.53819i 0.239836 0.239836i
\(113\) −15.5920 + 9.00205i −1.46677 + 0.846841i −0.999309 0.0371710i \(-0.988165\pi\)
−0.467463 + 0.884012i \(0.654832\pi\)
\(114\) −3.27546 + 2.09734i −0.306775 + 0.196434i
\(115\) 2.24312 + 8.37145i 0.209172 + 0.780641i
\(116\) 2.01416 0.187010
\(117\) −4.03836 + 10.0345i −0.373346 + 0.927692i
\(118\) 10.2884 0.947125
\(119\) 3.20898 + 11.9761i 0.294167 + 1.09785i
\(120\) −4.16893 + 2.66944i −0.380570 + 0.243686i
\(121\) 5.76795 3.33013i 0.524359 0.302739i
\(122\) 0.193894 0.193894i 0.0175543 0.0175543i
\(123\) 10.1617 + 9.26846i 0.916252 + 0.835709i
\(124\) −1.66422 0.445927i −0.149452 0.0400454i
\(125\) −3.70112 3.70112i −0.331039 0.331039i
\(126\) 9.78058 + 4.50593i 0.871324 + 0.401420i
\(127\) −17.9209 10.3466i −1.59022 0.918114i −0.993268 0.115837i \(-0.963045\pi\)
−0.596952 0.802277i \(-0.703622\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) 1.55291 3.00000i 0.136726 0.264135i
\(130\) 9.16651 + 4.70822i 0.803956 + 0.412939i
\(131\) 4.68295i 0.409151i 0.978851 + 0.204576i \(0.0655814\pi\)
−0.978851 + 0.204576i \(0.934419\pi\)
\(132\) 1.55902 7.10987i 0.135695 0.618835i
\(133\) 4.03025 6.98059i 0.349467 0.605294i
\(134\) 2.12294 + 3.67704i 0.183394 + 0.317648i
\(135\) −11.8444 8.95897i −1.01940 0.771065i
\(136\) 0.893982 3.33639i 0.0766583 0.286093i
\(137\) 1.41832 5.29326i 0.121176 0.452234i −0.878499 0.477744i \(-0.841455\pi\)
0.999675 + 0.0255107i \(0.00812118\pi\)
\(138\) −5.00547 + 1.59092i −0.426094 + 0.135428i
\(139\) −7.34662 12.7247i −0.623132 1.07930i −0.988899 0.148590i \(-0.952527\pi\)
0.365767 0.930706i \(-0.380807\pi\)
\(140\) 5.12960 8.88473i 0.433531 0.750897i
\(141\) −2.29069 0.502292i −0.192911 0.0423006i
\(142\) 11.0338i 0.925933i
\(143\) −14.4256 + 4.63529i −1.20633 + 0.387622i
\(144\) −1.73205 2.44949i −0.144338 0.204124i
\(145\) 5.56049 1.48993i 0.461774 0.123732i
\(146\) 12.3481 + 7.12919i 1.02194 + 0.590016i
\(147\) −10.1820 + 0.468097i −0.839800 + 0.0386080i
\(148\) 3.42423 + 3.42423i 0.281470 + 0.281470i
\(149\) 9.98255 + 2.67482i 0.817803 + 0.219130i 0.643386 0.765542i \(-0.277529\pi\)
0.174417 + 0.984672i \(0.444196\pi\)
\(150\) −3.69846 + 4.05490i −0.301978 + 0.331081i
\(151\) −6.48932 + 6.48932i −0.528094 + 0.528094i −0.920004 0.391910i \(-0.871814\pi\)
0.391910 + 0.920004i \(0.371814\pi\)
\(152\) −1.94470 + 1.12277i −0.157736 + 0.0910691i
\(153\) 10.3185 0.950753i 0.834204 0.0768638i
\(154\) 3.90421 + 14.5707i 0.314611 + 1.17414i
\(155\) −4.92427 −0.395527
\(156\) −2.59515 + 5.68025i −0.207778 + 0.454784i
\(157\) −14.1431 −1.12874 −0.564372 0.825520i \(-0.690882\pi\)
−0.564372 + 0.825520i \(0.690882\pi\)
\(158\) 0.409066 + 1.52665i 0.0325435 + 0.121454i
\(159\) −6.74520 10.5341i −0.534929 0.835411i
\(160\) −2.47517 + 1.42904i −0.195680 + 0.112976i
\(161\) 7.69672 7.69672i 0.606587 0.606587i
\(162\) 5.09393 7.41970i 0.400217 0.582946i
\(163\) 1.07638 + 0.288415i 0.0843084 + 0.0225904i 0.300727 0.953710i \(-0.402771\pi\)
−0.216418 + 0.976301i \(0.569437\pi\)
\(164\) 5.61494 + 5.61494i 0.438453 + 0.438453i
\(165\) −0.955381 20.7814i −0.0743763 1.61783i
\(166\) 3.17133 + 1.83097i 0.246143 + 0.142110i
\(167\) −5.39478 + 1.44553i −0.417461 + 0.111858i −0.461434 0.887174i \(-0.652665\pi\)
0.0439735 + 0.999033i \(0.485998\pi\)
\(168\) 5.52139 + 2.85808i 0.425985 + 0.220506i
\(169\) 12.9374 1.27466i 0.995181 0.0980507i
\(170\) 9.87205i 0.757152i
\(171\) −5.18050 4.30638i −0.396163 0.329317i
\(172\) 0.975173 1.68905i 0.0743562 0.128789i
\(173\) −8.74765 15.1514i −0.665072 1.15194i −0.979266 0.202579i \(-0.935068\pi\)
0.314194 0.949359i \(-0.398266\pi\)
\(174\) 1.05673 + 3.32474i 0.0801102 + 0.252048i
\(175\) 2.94380 10.9864i 0.222530 0.830494i
\(176\) 1.08766 4.05922i 0.0819857 0.305975i
\(177\) 5.39779 + 16.9829i 0.405723 + 1.27651i
\(178\) −4.92239 8.52583i −0.368949 0.639038i
\(179\) 4.60754 7.98049i 0.344384 0.596490i −0.640858 0.767660i \(-0.721421\pi\)
0.985242 + 0.171169i \(0.0547545\pi\)
\(180\) −6.59362 5.48105i −0.491459 0.408534i
\(181\) 13.8110i 1.02656i 0.858220 + 0.513282i \(0.171571\pi\)
−0.858220 + 0.513282i \(0.828429\pi\)
\(182\) −0.635265 12.9267i −0.0470890 0.958189i
\(183\) 0.421783 + 0.218331i 0.0311791 + 0.0161395i
\(184\) −2.92904 + 0.784834i −0.215932 + 0.0578588i
\(185\) 11.9862 + 6.92026i 0.881246 + 0.508788i
\(186\) −0.137047 2.98105i −0.0100488 0.218581i
\(187\) 10.2640 + 10.2640i 0.750577 + 0.750577i
\(188\) −1.30782 0.350429i −0.0953825 0.0255577i
\(189\) −2.30649 + 18.5086i −0.167773 + 1.34631i
\(190\) −4.53819 + 4.53819i −0.329235 + 0.329235i
\(191\) 19.6614 11.3515i 1.42265 0.821366i 0.426123 0.904665i \(-0.359879\pi\)
0.996525 + 0.0832996i \(0.0265458\pi\)
\(192\) −0.933998 1.45865i −0.0674055 0.105269i
\(193\) −5.18821 19.3627i −0.373456 1.39376i −0.855588 0.517657i \(-0.826804\pi\)
0.482133 0.876098i \(-0.339862\pi\)
\(194\) −8.02251 −0.575983
\(195\) −2.96258 + 17.6011i −0.212155 + 1.26044i
\(196\) −5.88481 −0.420343
\(197\) 4.82369 + 18.0023i 0.343674 + 1.28261i 0.894154 + 0.447760i \(0.147778\pi\)
−0.550480 + 0.834849i \(0.685555\pi\)
\(198\) 12.5541 1.15674i 0.892178 0.0822056i
\(199\) −3.90611 + 2.25519i −0.276897 + 0.159866i −0.632018 0.774954i \(-0.717773\pi\)
0.355121 + 0.934820i \(0.384440\pi\)
\(200\) −2.24057 + 2.24057i −0.158432 + 0.158432i
\(201\) −4.95582 + 5.43345i −0.349557 + 0.383246i
\(202\) −2.03506 0.545293i −0.143186 0.0383667i
\(203\) −5.11233 5.11233i −0.358815 0.358815i
\(204\) 5.97633 0.274749i 0.418427 0.0192363i
\(205\) 19.6547 + 11.3476i 1.37274 + 0.792552i
\(206\) −13.7769 + 3.69151i −0.959883 + 0.257200i
\(207\) −5.25221 7.42775i −0.365054 0.516264i
\(208\) −1.64734 + 3.20722i −0.114222 + 0.222381i
\(209\) 9.43672i 0.652752i
\(210\) 17.3571 + 3.80598i 1.19775 + 0.262638i
\(211\) 4.28841 7.42775i 0.295227 0.511348i −0.679811 0.733387i \(-0.737938\pi\)
0.975038 + 0.222040i \(0.0712715\pi\)
\(212\) −3.61093 6.25431i −0.248000 0.429548i
\(213\) 18.2132 5.78884i 1.24795 0.396645i
\(214\) −3.58348 + 13.3737i −0.244962 + 0.914210i
\(215\) 1.44272 5.38431i 0.0983928 0.367207i
\(216\) 3.13461 4.14418i 0.213283 0.281976i
\(217\) 3.09226 + 5.35596i 0.209916 + 0.363586i
\(218\) −4.13106 + 7.15520i −0.279791 + 0.484612i
\(219\) −5.28960 + 24.1231i −0.357438 + 1.63009i
\(220\) 12.0108i 0.809771i
\(221\) −6.74882 10.4667i −0.453975 0.704067i
\(222\) −3.85579 + 7.44882i −0.258784 + 0.499932i
\(223\) 20.3575 5.45476i 1.36324 0.365278i 0.498232 0.867043i \(-0.333983\pi\)
0.865004 + 0.501765i \(0.167316\pi\)
\(224\) 3.10863 + 1.79477i 0.207704 + 0.119918i
\(225\) −8.63374 3.97758i −0.575582 0.265172i
\(226\) −12.7308 12.7308i −0.846841 0.846841i
\(227\) −4.85544 1.30101i −0.322267 0.0863512i 0.0940589 0.995567i \(-0.470016\pi\)
−0.416326 + 0.909215i \(0.636682\pi\)
\(228\) −2.87363 2.62102i −0.190311 0.173581i
\(229\) −9.92484 + 9.92484i −0.655852 + 0.655852i −0.954396 0.298544i \(-0.903499\pi\)
0.298544 + 0.954396i \(0.403499\pi\)
\(230\) −7.50563 + 4.33338i −0.494907 + 0.285735i
\(231\) −22.0033 + 14.0891i −1.44771 + 0.926995i
\(232\) 0.521304 + 1.94553i 0.0342253 + 0.127730i
\(233\) −18.7944 −1.23126 −0.615630 0.788035i \(-0.711098\pi\)
−0.615630 + 0.788035i \(0.711098\pi\)
\(234\) −10.7378 1.30363i −0.701953 0.0852209i
\(235\) −3.86971 −0.252432
\(236\) 2.66284 + 9.93785i 0.173336 + 0.646899i
\(237\) −2.30540 + 1.47619i −0.149752 + 0.0958889i
\(238\) −10.7375 + 6.19928i −0.696007 + 0.401840i
\(239\) −6.82142 + 6.82142i −0.441241 + 0.441241i −0.892429 0.451188i \(-0.851000\pi\)
0.451188 + 0.892429i \(0.351000\pi\)
\(240\) −3.65748 3.33598i −0.236090 0.215336i
\(241\) 8.18821 + 2.19402i 0.527449 + 0.141330i 0.512710 0.858562i \(-0.328642\pi\)
0.0147390 + 0.999891i \(0.495308\pi\)
\(242\) 4.70951 + 4.70951i 0.302739 + 0.302739i
\(243\) 14.9201 + 4.51572i 0.957122 + 0.289684i
\(244\) 0.237470 + 0.137104i 0.0152025 + 0.00877716i
\(245\) −16.2462 + 4.35315i −1.03793 + 0.278112i
\(246\) −6.32260 + 12.2143i −0.403114 + 0.778757i
\(247\) −1.70912 + 7.91400i −0.108749 + 0.503555i
\(248\) 1.72293i 0.109406i
\(249\) −1.35851 + 6.19546i −0.0860921 + 0.392621i
\(250\) 2.61709 4.53293i 0.165519 0.286688i
\(251\) 3.51988 + 6.09661i 0.222173 + 0.384814i 0.955467 0.295096i \(-0.0953518\pi\)
−0.733295 + 0.679911i \(0.762018\pi\)
\(252\) −1.82100 + 10.6135i −0.114712 + 0.668590i
\(253\) 3.29820 12.3090i 0.207356 0.773862i
\(254\) 5.35580 19.9881i 0.336053 1.25417i
\(255\) 16.2956 5.17935i 1.02047 0.324343i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 0.815993 1.41334i 0.0509003 0.0881618i −0.839453 0.543433i \(-0.817124\pi\)
0.890353 + 0.455271i \(0.150458\pi\)
\(258\) 3.29970 + 0.723543i 0.205430 + 0.0450458i
\(259\) 17.3827i 1.08011i
\(260\) −2.17533 + 10.0727i −0.134908 + 0.624685i
\(261\) −4.93367 + 3.48863i −0.305387 + 0.215941i
\(262\) −4.52338 + 1.21204i −0.279455 + 0.0748799i
\(263\) 9.15209 + 5.28396i 0.564342 + 0.325823i 0.754886 0.655856i \(-0.227692\pi\)
−0.190544 + 0.981679i \(0.561025\pi\)
\(264\) 7.27111 0.334273i 0.447506 0.0205731i
\(265\) −14.5952 14.5952i −0.896574 0.896574i
\(266\) 7.78584 + 2.08621i 0.477380 + 0.127914i
\(267\) 11.4909 12.5983i 0.703231 0.771006i
\(268\) −3.00229 + 3.00229i −0.183394 + 0.183394i
\(269\) 7.46392 4.30930i 0.455083 0.262742i −0.254891 0.966970i \(-0.582040\pi\)
0.709975 + 0.704227i \(0.248706\pi\)
\(270\) 5.58814 13.7596i 0.340083 0.837381i
\(271\) 5.13290 + 19.1563i 0.311802 + 1.16366i 0.926930 + 0.375233i \(0.122437\pi\)
−0.615129 + 0.788427i \(0.710896\pi\)
\(272\) 3.45408 0.209434
\(273\) 21.0045 7.83057i 1.27125 0.473928i
\(274\) 5.47999 0.331058
\(275\) −3.44642 12.8622i −0.207827 0.775620i
\(276\) −2.83223 4.42315i −0.170480 0.266242i
\(277\) −13.4255 + 7.75123i −0.806661 + 0.465726i −0.845795 0.533508i \(-0.820873\pi\)
0.0391339 + 0.999234i \(0.487540\pi\)
\(278\) 10.3897 10.3897i 0.623132 0.623132i
\(279\) 4.84886 1.79022i 0.290294 0.107178i
\(280\) 9.90963 + 2.65528i 0.592214 + 0.158683i
\(281\) 11.9452 + 11.9452i 0.712591 + 0.712591i 0.967077 0.254486i \(-0.0819061\pi\)
−0.254486 + 0.967077i \(0.581906\pi\)
\(282\) −0.107698 2.34264i −0.00641331 0.139502i
\(283\) −1.36808 0.789860i −0.0813237 0.0469523i 0.458787 0.888546i \(-0.348284\pi\)
−0.540110 + 0.841594i \(0.681618\pi\)
\(284\) 10.6578 2.85575i 0.632424 0.169458i
\(285\) −9.87205 5.11015i −0.584770 0.302699i
\(286\) −8.21096 12.7343i −0.485524 0.752997i
\(287\) 28.5035i 1.68251i
\(288\) 1.91774 2.30701i 0.113004 0.135942i
\(289\) 2.53467 4.39017i 0.149098 0.258245i
\(290\) 2.87832 + 4.98540i 0.169021 + 0.292753i
\(291\) −4.20899 13.2426i −0.246735 0.776295i
\(292\) −3.69034 + 13.7725i −0.215961 + 0.805976i
\(293\) 1.01073 3.77209i 0.0590474 0.220368i −0.930097 0.367314i \(-0.880278\pi\)
0.989145 + 0.146946i \(0.0469442\pi\)
\(294\) −3.08745 9.71393i −0.180064 0.566528i
\(295\) 14.7026 + 25.4656i 0.856017 + 1.48266i
\(296\) −2.42130 + 4.19381i −0.140735 + 0.243760i
\(297\) 8.49585 + 20.1158i 0.492979 + 1.16724i
\(298\) 10.3347i 0.598673i
\(299\) −4.99533 + 9.72548i −0.288887 + 0.562439i
\(300\) −4.87397 2.52295i −0.281399 0.145663i
\(301\) −6.76230 + 1.81195i −0.389772 + 0.104439i
\(302\) −7.94777 4.58864i −0.457343 0.264047i
\(303\) −0.167586 3.64532i −0.00962754 0.209418i
\(304\) −1.58784 1.58784i −0.0910691 0.0910691i
\(305\) 0.757003 + 0.202838i 0.0433459 + 0.0116145i
\(306\) 3.58899 + 9.72086i 0.205169 + 0.555705i
\(307\) 21.7994 21.7994i 1.24416 1.24416i 0.285899 0.958260i \(-0.407708\pi\)
0.958260 0.285899i \(-0.0922920\pi\)
\(308\) −13.0638 + 7.54236i −0.744377 + 0.429766i
\(309\) −13.3215 20.8045i −0.757835 1.18353i
\(310\) −1.27450 4.75648i −0.0723865 0.270150i
\(311\) 20.9295 1.18681 0.593403 0.804906i \(-0.297784\pi\)
0.593403 + 0.804906i \(0.297784\pi\)
\(312\) −6.15837 1.03656i −0.348649 0.0586838i
\(313\) −32.6685 −1.84653 −0.923267 0.384159i \(-0.874491\pi\)
−0.923267 + 0.384159i \(0.874491\pi\)
\(314\) −3.66051 13.6612i −0.206575 0.770947i
\(315\) 2.82390 + 30.6478i 0.159109 + 1.72681i
\(316\) −1.36876 + 0.790254i −0.0769988 + 0.0444553i
\(317\) −5.21085 + 5.21085i −0.292671 + 0.292671i −0.838134 0.545464i \(-0.816354\pi\)
0.545464 + 0.838134i \(0.316354\pi\)
\(318\) 8.42940 9.24180i 0.472698 0.518254i
\(319\) −8.17593 2.19073i −0.457764 0.122657i
\(320\) −2.02097 2.02097i −0.112976 0.112976i
\(321\) −23.9558 + 1.10132i −1.33708 + 0.0614695i
\(322\) 9.42652 + 5.44240i 0.525319 + 0.303293i
\(323\) 7.49202 2.00748i 0.416867 0.111699i
\(324\) 8.48528 + 3.00000i 0.471405 + 0.166667i
\(325\) 0.560775 + 11.4109i 0.0311062 + 0.632964i
\(326\) 1.11435i 0.0617181i
\(327\) −13.9783 3.06510i −0.773002 0.169500i
\(328\) −3.97036 + 6.87686i −0.219226 + 0.379711i
\(329\) 2.43004 + 4.20895i 0.133972 + 0.232047i
\(330\) 19.8261 6.30146i 1.09139 0.346884i
\(331\) 4.72013 17.6158i 0.259442 0.968251i −0.706123 0.708089i \(-0.749557\pi\)
0.965565 0.260162i \(-0.0837759\pi\)
\(332\) −0.947777 + 3.53715i −0.0520160 + 0.194127i
\(333\) −14.3186 2.45667i −0.784652 0.134625i
\(334\) −2.79254 4.83683i −0.152801 0.264660i
\(335\) −6.06754 + 10.5093i −0.331505 + 0.574184i
\(336\) −1.33165 + 6.07298i −0.0726477 + 0.331308i
\(337\) 4.92484i 0.268273i −0.990963 0.134136i \(-0.957174\pi\)
0.990963 0.134136i \(-0.0428260\pi\)
\(338\) 4.57966 + 12.1666i 0.249101 + 0.661777i
\(339\) 14.3353 27.6937i 0.778587 1.50412i
\(340\) 9.53567 2.55507i 0.517144 0.138568i
\(341\) 6.27042 + 3.62023i 0.339562 + 0.196046i
\(342\) 2.81883 6.11855i 0.152425 0.330853i
\(343\) −2.83057 2.83057i −0.152836 0.152836i
\(344\) 1.88389 + 0.504787i 0.101572 + 0.0272163i
\(345\) −11.0908 10.1159i −0.597110 0.544622i
\(346\) 12.3711 12.3711i 0.665072 0.665072i
\(347\) −12.9403 + 7.47108i −0.694671 + 0.401069i −0.805360 0.592787i \(-0.798028\pi\)
0.110688 + 0.993855i \(0.464694\pi\)
\(348\) −2.93795 + 1.88122i −0.157491 + 0.100844i
\(349\) −8.08448 30.1717i −0.432752 1.61505i −0.746388 0.665511i \(-0.768214\pi\)
0.313636 0.949543i \(-0.398453\pi\)
\(350\) 11.3740 0.607964
\(351\) −3.48169 18.4086i −0.185839 0.982580i
\(352\) 4.20241 0.223989
\(353\) 2.67762 + 9.99302i 0.142515 + 0.531875i 0.999853 + 0.0171211i \(0.00545007\pi\)
−0.857338 + 0.514754i \(0.827883\pi\)
\(354\) −15.0072 + 9.60936i −0.797621 + 0.510732i
\(355\) 27.3105 15.7677i 1.44949 0.836864i
\(356\) 6.96131 6.96131i 0.368949 0.368949i
\(357\) −15.8664 14.4717i −0.839740 0.765923i
\(358\) 8.90109 + 2.38504i 0.470437 + 0.126053i
\(359\) 9.08944 + 9.08944i 0.479722 + 0.479722i 0.905043 0.425321i \(-0.139839\pi\)
−0.425321 + 0.905043i \(0.639839\pi\)
\(360\) 3.58774 7.78755i 0.189090 0.410440i
\(361\) 12.0876 + 6.97875i 0.636187 + 0.367303i
\(362\) −13.3404 + 3.57455i −0.701156 + 0.187874i
\(363\) −5.30306 + 10.2447i −0.278339 + 0.537709i
\(364\) 12.3218 3.95929i 0.645837 0.207523i
\(365\) 40.7516i 2.13304i
\(366\) −0.101726 + 0.463919i −0.00531730 + 0.0242494i
\(367\) −0.823475 + 1.42630i −0.0429850 + 0.0744522i −0.886717 0.462312i \(-0.847020\pi\)
0.843732 + 0.536764i \(0.180353\pi\)
\(368\) −1.51618 2.62611i −0.0790365 0.136895i
\(369\) −23.4791 4.02837i −1.22227 0.209709i
\(370\) −3.58219 + 13.3689i −0.186229 + 0.695017i
\(371\) −6.70941 + 25.0398i −0.348335 + 1.30000i
\(372\) 2.84400 0.903931i 0.147455 0.0468666i
\(373\) 9.97578 + 17.2786i 0.516526 + 0.894650i 0.999816 + 0.0191892i \(0.00610849\pi\)
−0.483290 + 0.875461i \(0.660558\pi\)
\(374\) −7.25773 + 12.5708i −0.375288 + 0.650018i
\(375\) 8.85547 + 1.94179i 0.457295 + 0.100273i
\(376\) 1.35395i 0.0698248i
\(377\) 6.45987 + 3.31800i 0.332700 + 0.170886i
\(378\) −18.4749 + 2.56249i −0.950248 + 0.131800i
\(379\) −11.8923 + 3.18653i −0.610865 + 0.163681i −0.550972 0.834524i \(-0.685743\pi\)
−0.0598936 + 0.998205i \(0.519076\pi\)
\(380\) −5.55812 3.20898i −0.285126 0.164617i
\(381\) 35.8039 1.64601i 1.83429 0.0843275i
\(382\) 16.0534 + 16.0534i 0.821366 + 0.821366i
\(383\) −27.3800 7.33645i −1.39905 0.374875i −0.521048 0.853527i \(-0.674459\pi\)
−0.878005 + 0.478652i \(0.841125\pi\)
\(384\) 1.16721 1.27970i 0.0595638 0.0653043i
\(385\) −30.4858 + 30.4858i −1.55370 + 1.55370i
\(386\) 17.3601 10.0229i 0.883605 0.510150i
\(387\) 0.536843 + 5.82636i 0.0272892 + 0.296170i
\(388\) −2.07638 7.74915i −0.105412 0.393403i
\(389\) −15.9504 −0.808717 −0.404359 0.914601i \(-0.632505\pi\)
−0.404359 + 0.914601i \(0.632505\pi\)
\(390\) −17.7682 + 1.69387i −0.899726 + 0.0857726i
\(391\) 10.4740 0.529695
\(392\) −1.52310 5.68429i −0.0769282 0.287100i
\(393\) −4.37387 6.83077i −0.220632 0.344567i
\(394\) −16.1404 + 9.31866i −0.813141 + 0.469467i
\(395\) −3.19416 + 3.19416i −0.160716 + 0.160716i
\(396\) 4.36655 + 11.8269i 0.219427 + 0.594324i
\(397\) −12.2594 3.28489i −0.615281 0.164864i −0.0622992 0.998058i \(-0.519843\pi\)
−0.552981 + 0.833194i \(0.686510\pi\)
\(398\) −3.18933 3.18933i −0.159866 0.159866i
\(399\) 0.641158 + 13.9465i 0.0320980 + 0.698196i
\(400\) −2.74412 1.58432i −0.137206 0.0792160i
\(401\) 15.8603 4.24976i 0.792027 0.212223i 0.159946 0.987126i \(-0.448868\pi\)
0.632080 + 0.774903i \(0.282201\pi\)
\(402\) −6.53097 3.38068i −0.325735 0.168613i
\(403\) −4.60294 4.17172i −0.229289 0.207808i
\(404\) 2.10685i 0.104820i
\(405\) 25.6445 + 2.00530i 1.27428 + 0.0996443i
\(406\) 3.61496 6.26130i 0.179408 0.310743i
\(407\) −10.1753 17.6241i −0.504370 0.873594i
\(408\) 1.81217 + 5.70158i 0.0897160 + 0.282270i
\(409\) −8.82005 + 32.9169i −0.436123 + 1.62763i 0.302240 + 0.953232i \(0.402266\pi\)
−0.738364 + 0.674403i \(0.764401\pi\)
\(410\) −5.87396 + 21.9219i −0.290094 + 1.08265i
\(411\) 2.87506 + 9.04570i 0.141816 + 0.446192i
\(412\) −7.13145 12.3520i −0.351341 0.608541i
\(413\) 18.4653 31.9829i 0.908620 1.57378i
\(414\) 5.81528 6.99569i 0.285806 0.343820i
\(415\) 10.4661i 0.513761i
\(416\) −3.52430 0.761114i −0.172793 0.0373167i
\(417\) 22.6010 + 11.6991i 1.10677 + 0.572909i
\(418\) 9.11517 2.44240i 0.445838 0.119462i
\(419\) −28.4943 16.4512i −1.39204 0.803693i −0.398496 0.917170i \(-0.630468\pi\)
−0.993541 + 0.113477i \(0.963801\pi\)
\(420\) 0.816051 + 17.7507i 0.0398192 + 0.866147i
\(421\) 17.0945 + 17.0945i 0.833137 + 0.833137i 0.987945 0.154808i \(-0.0494759\pi\)
−0.154808 + 0.987945i \(0.549476\pi\)
\(422\) 8.28458 + 2.21985i 0.403287 + 0.108060i
\(423\) 3.81045 1.40684i 0.185270 0.0684027i
\(424\) 5.10662 5.10662i 0.248000 0.248000i
\(425\) 9.47842 5.47237i 0.459771 0.265449i
\(426\) 10.3055 + 16.0944i 0.499304 + 0.779774i
\(427\) −0.254750 0.950740i −0.0123282 0.0460095i
\(428\) −13.8455 −0.669248
\(429\) 16.7125 20.2347i 0.806885 0.976941i
\(430\) 5.57425 0.268814
\(431\) 0.454427 + 1.69594i 0.0218890 + 0.0816908i 0.976006 0.217742i \(-0.0698692\pi\)
−0.954117 + 0.299433i \(0.903203\pi\)
\(432\) 4.81427 + 1.95521i 0.231627 + 0.0940699i
\(433\) −8.87140 + 5.12190i −0.426332 + 0.246143i −0.697783 0.716309i \(-0.745830\pi\)
0.271451 + 0.962452i \(0.412497\pi\)
\(434\) −4.37312 + 4.37312i −0.209916 + 0.209916i
\(435\) −6.71920 + 7.36677i −0.322161 + 0.353210i
\(436\) −7.98059 2.13839i −0.382201 0.102410i
\(437\) −4.81492 4.81492i −0.230329 0.230329i
\(438\) −24.6702 + 1.13416i −1.17879 + 0.0541921i
\(439\) −4.67848 2.70112i −0.223292 0.128917i 0.384182 0.923257i \(-0.374484\pi\)
−0.607473 + 0.794340i \(0.707817\pi\)
\(440\) 11.6016 3.10863i 0.553084 0.148198i
\(441\) 14.4148 10.1928i 0.686418 0.485371i
\(442\) 8.36335 9.22784i 0.397804 0.438924i
\(443\) 13.5731i 0.644876i 0.946591 + 0.322438i \(0.104502\pi\)
−0.946591 + 0.322438i \(0.895498\pi\)
\(444\) −8.19296 1.79651i −0.388821 0.0852588i
\(445\) 14.0686 24.3675i 0.666916 1.15513i
\(446\) 10.5378 + 18.2520i 0.498979 + 0.864257i
\(447\) −17.0593 + 5.42208i −0.806877 + 0.256455i
\(448\) −0.929042 + 3.46723i −0.0438931 + 0.163811i
\(449\) 0.525222 1.96016i 0.0247868 0.0925055i −0.952424 0.304775i \(-0.901419\pi\)
0.977211 + 0.212269i \(0.0680854\pi\)
\(450\) 1.60747 9.36902i 0.0757769 0.441660i
\(451\) −16.6851 28.8994i −0.785670 1.36082i
\(452\) 9.00205 15.5920i 0.423421 0.733386i
\(453\) 3.40461 15.5266i 0.159962 0.729505i
\(454\) 5.02672i 0.235916i
\(455\) 31.0879 20.0451i 1.45742 0.939731i
\(456\) 1.78796 3.45408i 0.0837291 0.161752i
\(457\) −28.9328 + 7.75251i −1.35342 + 0.362647i −0.861395 0.507936i \(-0.830409\pi\)
−0.492022 + 0.870583i \(0.663742\pi\)
\(458\) −12.1554 7.01792i −0.567984 0.327926i
\(459\) −14.1631 + 11.0243i −0.661076 + 0.514570i
\(460\) −6.12832 6.12832i −0.285735 0.285735i
\(461\) 15.5621 + 4.16985i 0.724798 + 0.194209i 0.602312 0.798261i \(-0.294246\pi\)
0.122487 + 0.992470i \(0.460913\pi\)
\(462\) −19.3039 17.6070i −0.898099 0.819152i
\(463\) −4.07041 + 4.07041i −0.189168 + 0.189168i −0.795336 0.606168i \(-0.792706\pi\)
0.606168 + 0.795336i \(0.292706\pi\)
\(464\) −1.74432 + 1.00708i −0.0809779 + 0.0467526i
\(465\) 7.18277 4.59926i 0.333093 0.213286i
\(466\) −4.86434 18.1540i −0.225336 0.840966i
\(467\) 36.8536 1.70538 0.852690 0.522417i \(-0.174970\pi\)
0.852690 + 0.522417i \(0.174970\pi\)
\(468\) −1.51994 10.7093i −0.0702593 0.495039i
\(469\) 15.2408 0.703753
\(470\) −1.00155 3.73785i −0.0461983 0.172414i
\(471\) 20.6298 13.2097i 0.950572 0.608669i
\(472\) −8.91003 + 5.14421i −0.410117 + 0.236781i
\(473\) −5.79555 + 5.79555i −0.266480 + 0.266480i
\(474\) −2.02257 1.84478i −0.0928999 0.0847336i
\(475\) −6.87289 1.84159i −0.315350 0.0844977i
\(476\) −8.76711 8.76711i −0.401840 0.401840i
\(477\) 19.6777 + 9.06556i 0.900981 + 0.415084i
\(478\) −8.35450 4.82347i −0.382126 0.220621i
\(479\) 14.5305 3.89342i 0.663913 0.177895i 0.0889019 0.996040i \(-0.471664\pi\)
0.575011 + 0.818145i \(0.304998\pi\)
\(480\) 2.27568 4.39627i 0.103870 0.200661i
\(481\) 5.34141 + 16.6231i 0.243547 + 0.757949i
\(482\) 8.47706i 0.386119i
\(483\) −4.03807 + 18.4155i −0.183738 + 0.837935i
\(484\) −3.33013 + 5.76795i −0.151369 + 0.262180i
\(485\) −11.4645 19.8571i −0.520576 0.901664i
\(486\) −0.500258 + 15.5804i −0.0226921 + 0.706743i
\(487\) 4.33018 16.1605i 0.196219 0.732301i −0.795728 0.605654i \(-0.792912\pi\)
0.991948 0.126647i \(-0.0404216\pi\)
\(488\) −0.0709701 + 0.264864i −0.00321266 + 0.0119898i
\(489\) −1.83943 + 0.584640i −0.0831820 + 0.0264383i
\(490\) −8.40963 14.5659i −0.379909 0.658021i
\(491\) −12.6333 + 21.8815i −0.570132 + 0.987498i 0.426419 + 0.904526i \(0.359775\pi\)
−0.996552 + 0.0829727i \(0.973559\pi\)
\(492\) −13.4345 2.94586i −0.605676 0.132810i
\(493\) 6.95708i 0.313331i
\(494\) −8.08669 + 0.397410i −0.363837 + 0.0178803i
\(495\) 20.8034 + 29.4204i 0.935043 + 1.32235i
\(496\) 1.66422 0.445927i 0.0747258 0.0200227i
\(497\) −34.3000 19.8031i −1.53856 0.888290i
\(498\) −6.33596 + 0.291282i −0.283921 + 0.0130527i
\(499\) 1.37946 + 1.37946i 0.0617533 + 0.0617533i 0.737309 0.675556i \(-0.236096\pi\)
−0.675556 + 0.737309i \(0.736096\pi\)
\(500\) 5.05583 + 1.35471i 0.226104 + 0.0605843i
\(501\) 6.51896 7.14723i 0.291245 0.319315i
\(502\) −4.97786 + 4.97786i −0.222173 + 0.222173i
\(503\) 9.77777 5.64520i 0.435969 0.251707i −0.265917 0.963996i \(-0.585675\pi\)
0.701886 + 0.712289i \(0.252341\pi\)
\(504\) −10.7232 + 0.988040i −0.477649 + 0.0440108i
\(505\) −1.55849 5.81637i −0.0693520 0.258825i
\(506\) 12.7433 0.566507
\(507\) −17.6805 + 13.9427i −0.785218 + 0.619219i
\(508\) 20.6932 0.918114
\(509\) −9.73260 36.3226i −0.431390 1.60997i −0.749561 0.661936i \(-0.769735\pi\)
0.318171 0.948033i \(-0.396931\pi\)
\(510\) 9.22047 + 14.3998i 0.408289 + 0.637635i
\(511\) 44.3241 25.5905i 1.96078 1.13206i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 11.5787 + 1.44290i 0.511210 + 0.0637056i
\(514\) 1.57638 + 0.422389i 0.0695311 + 0.0186308i
\(515\) −28.8249 28.8249i −1.27018 1.27018i
\(516\) 0.155137 + 3.37453i 0.00682952 + 0.148556i
\(517\) 4.92757 + 2.84493i 0.216714 + 0.125120i
\(518\) 16.7904 4.49897i 0.737727 0.197673i
\(519\) 26.9111 + 13.9302i 1.18127 + 0.611468i
\(520\) −10.2925 + 0.505814i −0.451358 + 0.0221814i
\(521\) 18.2111i 0.797843i −0.916985 0.398922i \(-0.869385\pi\)
0.916985 0.398922i \(-0.130615\pi\)
\(522\) −4.64669 3.86264i −0.203380 0.169063i
\(523\) −16.9049 + 29.2801i −0.739199 + 1.28033i 0.213658 + 0.976909i \(0.431462\pi\)
−0.952857 + 0.303421i \(0.901871\pi\)
\(524\) −2.34147 4.05555i −0.102288 0.177168i
\(525\) 5.96732 + 18.7748i 0.260435 + 0.819398i
\(526\) −2.73518 + 10.2078i −0.119260 + 0.445083i
\(527\) −1.54027 + 5.74835i −0.0670951 + 0.250402i
\(528\) 2.20478 + 6.93684i 0.0959509 + 0.301887i
\(529\) 6.90238 + 11.9553i 0.300103 + 0.519794i
\(530\) 10.3203 17.8753i 0.448287 0.776455i
\(531\) −23.7354 19.7305i −1.03003 0.856230i
\(532\) 8.06049i 0.349467i
\(533\) 8.75867 + 27.2580i 0.379380 + 1.18068i
\(534\) 15.1431 + 7.83866i 0.655307 + 0.339212i
\(535\) −38.2233 + 10.2419i −1.65254 + 0.442795i
\(536\) −3.67704 2.12294i −0.158824 0.0916970i
\(537\) 0.732997 + 15.9441i 0.0316312 + 0.688041i
\(538\) 6.09426 + 6.09426i 0.262742 + 0.262742i
\(539\) 23.8877 + 6.40069i 1.02892 + 0.275697i
\(540\) 14.7370 + 1.83649i 0.634182 + 0.0790299i
\(541\) −4.97355 + 4.97355i −0.213829 + 0.213829i −0.805892 0.592063i \(-0.798314\pi\)
0.592063 + 0.805892i \(0.298314\pi\)
\(542\) −17.1750 + 9.91601i −0.737731 + 0.425929i
\(543\) −12.8995 20.1454i −0.553569 0.864521i
\(544\) 0.893982 + 3.33639i 0.0383291 + 0.143046i
\(545\) −23.6138 −1.01150
\(546\) 13.0001 + 18.2621i 0.556354 + 0.781546i
\(547\) −2.15870 −0.0922995 −0.0461497 0.998935i \(-0.514695\pi\)
−0.0461497 + 0.998935i \(0.514695\pi\)
\(548\) 1.41832 + 5.29326i 0.0605878 + 0.226117i
\(549\) −0.819152 + 0.0754770i −0.0349606 + 0.00322128i
\(550\) 11.5319 6.65796i 0.491723 0.283897i
\(551\) −3.19818 + 3.19818i −0.136247 + 0.136247i
\(552\) 3.53940 3.88051i 0.150647 0.165166i
\(553\) 5.47999 + 1.46836i 0.233033 + 0.0624409i
\(554\) −10.9619 10.9619i −0.465726 0.465726i
\(555\) −23.9472 + 1.10092i −1.01650 + 0.0467315i
\(556\) 12.7247 + 7.34662i 0.539648 + 0.311566i
\(557\) 2.17782 0.583545i 0.0922772 0.0247256i −0.212385 0.977186i \(-0.568123\pi\)
0.304662 + 0.952460i \(0.401456\pi\)
\(558\) 2.98420 + 4.22030i 0.126331 + 0.178659i
\(559\) 5.91003 3.81072i 0.249968 0.161176i
\(560\) 10.2592i 0.433531i
\(561\) −24.5581 5.38497i −1.03684 0.227354i
\(562\) −8.44653 + 14.6298i −0.356296 + 0.617122i
\(563\) 18.1490 + 31.4349i 0.764888 + 1.32482i 0.940306 + 0.340330i \(0.110539\pi\)
−0.175418 + 0.984494i \(0.556128\pi\)
\(564\) 2.23494 0.710348i 0.0941081 0.0299111i
\(565\) 13.3181 49.7038i 0.560297 2.09106i
\(566\) 0.408861 1.52589i 0.0171857 0.0641380i
\(567\) −13.9227 29.1518i −0.584698 1.22426i
\(568\) 5.51689 + 9.55553i 0.231483 + 0.400941i
\(569\) −19.5376 + 33.8400i −0.819057 + 1.41865i 0.0873209 + 0.996180i \(0.472169\pi\)
−0.906378 + 0.422468i \(0.861164\pi\)
\(570\) 2.38095 10.8583i 0.0997270 0.454803i
\(571\) 31.9061i 1.33523i 0.744508 + 0.667614i \(0.232684\pi\)
−0.744508 + 0.667614i \(0.767316\pi\)
\(572\) 10.1753 11.2271i 0.425450 0.469427i
\(573\) −18.0767 + 34.9215i −0.755165 + 1.45887i
\(574\) 27.5323 7.37726i 1.14918 0.307921i
\(575\) −8.32119 4.80424i −0.347018 0.200351i
\(576\) 2.72474 + 1.25529i 0.113531 + 0.0523040i
\(577\) 9.31011 + 9.31011i 0.387585 + 0.387585i 0.873825 0.486240i \(-0.161632\pi\)
−0.486240 + 0.873825i \(0.661632\pi\)
\(578\) 4.89660 + 1.31204i 0.203672 + 0.0545736i
\(579\) 25.6525 + 23.3975i 1.06608 + 0.972366i
\(580\) −4.07056 + 4.07056i −0.169021 + 0.169021i
\(581\) 11.3836 6.57233i 0.472271 0.272666i
\(582\) 11.7020 7.49301i 0.485063 0.310595i
\(583\) 7.85495 + 29.3151i 0.325319 + 1.21411i
\(584\) −14.2584 −0.590016
\(585\) −12.1181 28.4409i −0.501021 1.17589i
\(586\) 3.90516 0.161321
\(587\) −7.58008 28.2892i −0.312863 1.16762i −0.925962 0.377615i \(-0.876744\pi\)
0.613099 0.790006i \(-0.289923\pi\)
\(588\) 8.58385 5.49640i 0.353992 0.226668i
\(589\) 3.35059 1.93446i 0.138058 0.0797081i
\(590\) −20.7926 + 20.7926i −0.856017 + 0.856017i
\(591\) −23.8501 21.7536i −0.981064 0.894824i
\(592\) −4.67758 1.25335i −0.192247 0.0515126i
\(593\) 12.7368 + 12.7368i 0.523037 + 0.523037i 0.918487 0.395450i \(-0.129411\pi\)
−0.395450 + 0.918487i \(0.629411\pi\)
\(594\) −17.2315 + 13.4127i −0.707018 + 0.550331i
\(595\) −30.6886 17.7181i −1.25811 0.726370i
\(596\) −9.98255 + 2.67482i −0.408901 + 0.109565i
\(597\) 3.59128 6.93783i 0.146981 0.283946i
\(598\) −10.6870 2.30798i −0.437023 0.0943802i
\(599\) 15.6579i 0.639764i 0.947457 + 0.319882i \(0.103643\pi\)
−0.947457 + 0.319882i \(0.896357\pi\)
\(600\) 1.17551 5.36088i 0.0479899 0.218857i
\(601\) −3.99832 + 6.92529i −0.163095 + 0.282488i −0.935977 0.352061i \(-0.885481\pi\)
0.772882 + 0.634549i \(0.218814\pi\)
\(602\) −3.50042 6.06291i −0.142667 0.247106i
\(603\) 2.15396 12.5542i 0.0877160 0.511247i
\(604\) 2.37526 8.86458i 0.0966478 0.360695i
\(605\) −4.92677 + 18.3869i −0.200302 + 0.747535i
\(606\) 3.47773 1.10535i 0.141273 0.0449019i
\(607\) −2.24581 3.88985i −0.0911545 0.157884i 0.816843 0.576860i \(-0.195722\pi\)
−0.907997 + 0.418976i \(0.862389\pi\)
\(608\) 1.12277 1.94470i 0.0455345 0.0788681i
\(609\) 12.2320 + 2.68217i 0.495665 + 0.108687i
\(610\) 0.783707i 0.0317314i
\(611\) −3.61719 3.27832i −0.146336 0.132627i
\(612\) −8.46073 + 5.98264i −0.342005 + 0.241834i
\(613\) 30.5112 8.17546i 1.23234 0.330204i 0.416848 0.908976i \(-0.363135\pi\)
0.815489 + 0.578773i \(0.196468\pi\)
\(614\) 26.6987 + 15.4145i 1.07747 + 0.622079i
\(615\) −39.2678 + 1.80525i −1.58343 + 0.0727948i
\(616\) −10.6665 10.6665i −0.429766 0.429766i
\(617\) 5.23513 + 1.40275i 0.210758 + 0.0564725i 0.362653 0.931924i \(-0.381871\pi\)
−0.151895 + 0.988397i \(0.548538\pi\)
\(618\) 16.6478 18.2522i 0.669671 0.734212i
\(619\) 7.22455 7.22455i 0.290379 0.290379i −0.546851 0.837230i \(-0.684174\pi\)
0.837230 + 0.546851i \(0.184174\pi\)
\(620\) 4.26455 2.46214i 0.171268 0.0988818i
\(621\) 14.5986 + 5.92890i 0.585823 + 0.237919i
\(622\) 5.41696 + 20.2164i 0.217200 + 0.810603i
\(623\) −35.3382 −1.41580
\(624\) −0.592661 6.21681i −0.0237254 0.248872i
\(625\) 30.8029 1.23212
\(626\) −8.45523 31.5554i −0.337939 1.26121i
\(627\) 8.81388 + 13.7648i 0.351992 + 0.549715i
\(628\) 12.2483 7.07156i 0.488761 0.282186i
\(629\) 11.8276 11.8276i 0.471596 0.471596i
\(630\) −28.8726 + 10.6599i −1.15031 + 0.424701i
\(631\) −20.2844 5.43520i −0.807511 0.216372i −0.168632 0.985679i \(-0.553935\pi\)
−0.638879 + 0.769307i \(0.720602\pi\)
\(632\) −1.11759 1.11759i −0.0444553 0.0444553i
\(633\) 0.682229 + 14.8398i 0.0271162 + 0.589830i
\(634\) −6.38197 3.68463i −0.253460 0.146335i
\(635\) 57.1277 15.3073i 2.26705 0.607453i
\(636\) 11.1086 + 5.75023i 0.440484 + 0.228011i
\(637\) −18.8739 9.69426i −0.747811 0.384100i
\(638\) 8.46434i 0.335106i
\(639\) −21.1599 + 25.4550i −0.837072 + 1.00698i
\(640\) 1.42904 2.47517i 0.0564878 0.0978398i
\(641\) 21.3437 + 36.9683i 0.843024 + 1.46016i 0.887326 + 0.461143i \(0.152560\pi\)
−0.0443019 + 0.999018i \(0.514106\pi\)
\(642\) −7.26401 22.8545i −0.286688 0.901995i
\(643\) −0.813185 + 3.03485i −0.0320689 + 0.119683i −0.980105 0.198481i \(-0.936399\pi\)
0.948036 + 0.318163i \(0.103066\pi\)
\(644\) −2.81720 + 10.5139i −0.111013 + 0.414306i
\(645\) 2.92452 + 9.20130i 0.115153 + 0.362301i
\(646\) 3.87815 + 6.71716i 0.152584 + 0.264283i
\(647\) −18.2351 + 31.5841i −0.716895 + 1.24170i 0.245329 + 0.969440i \(0.421104\pi\)
−0.962224 + 0.272258i \(0.912229\pi\)
\(648\) −0.701625 + 8.97261i −0.0275624 + 0.352477i
\(649\) 43.2361i 1.69717i
\(650\) −10.8770 + 3.49503i −0.426630 + 0.137086i
\(651\) −9.51297 4.92427i −0.372843 0.192998i
\(652\) −1.07638 + 0.288415i −0.0421542 + 0.0112952i
\(653\) −39.3421 22.7142i −1.53957 0.888874i −0.998863 0.0476658i \(-0.984822\pi\)
−0.540711 0.841208i \(-0.681845\pi\)
\(654\) −0.657196 14.2953i −0.0256984 0.558991i
\(655\) −9.46410 9.46410i −0.369793 0.369793i
\(656\) −7.67015 2.05521i −0.299469 0.0802424i
\(657\) −14.8153 40.1275i −0.577999 1.56552i
\(658\) −3.43659 + 3.43659i −0.133972 + 0.133972i
\(659\) −11.4858 + 6.63132i −0.447422 + 0.258319i −0.706741 0.707472i \(-0.749835\pi\)
0.259319 + 0.965792i \(0.416502\pi\)
\(660\) 11.2181 + 17.5196i 0.436664 + 0.681948i
\(661\) 2.40763 + 8.98541i 0.0936460 + 0.349492i 0.996811 0.0798025i \(-0.0254290\pi\)
−0.903165 + 0.429294i \(0.858762\pi\)
\(662\) 18.2372 0.708809
\(663\) 19.6200 + 8.96385i 0.761979 + 0.348127i
\(664\) −3.66193 −0.142110
\(665\) 5.96256 + 22.2526i 0.231218 + 0.862918i
\(666\) −1.33295 14.4665i −0.0516507 0.560565i
\(667\) −5.28941 + 3.05384i −0.204807 + 0.118245i
\(668\) 3.94925 3.94925i 0.152801 0.152801i
\(669\) −24.5996 + 26.9704i −0.951075 + 1.04274i
\(670\) −11.7216 3.14079i −0.452844 0.121339i
\(671\) −0.814821 0.814821i −0.0314558 0.0314558i
\(672\) −6.21071 + 0.285524i −0.239583 + 0.0110143i
\(673\) −22.9273 13.2371i −0.883782 0.510252i −0.0118785 0.999929i \(-0.503781\pi\)
−0.871904 + 0.489678i \(0.837114\pi\)
\(674\) 4.75703 1.27464i 0.183234 0.0490973i
\(675\) 16.3086 2.26202i 0.627719 0.0870650i
\(676\) −10.5668 + 7.57257i −0.406414 + 0.291253i
\(677\) 41.0789i 1.57879i −0.613885 0.789396i \(-0.710394\pi\)
0.613885 0.789396i \(-0.289606\pi\)
\(678\) 30.4603 + 6.67919i 1.16982 + 0.256513i
\(679\) −14.3986 + 24.9390i −0.552566 + 0.957073i
\(680\) 4.93602 + 8.54944i 0.189288 + 0.327856i
\(681\) 8.29751 2.63726i 0.317961 0.101060i
\(682\) −1.87397 + 6.99374i −0.0717579 + 0.267804i
\(683\) −1.54160 + 5.75334i −0.0589878 + 0.220145i −0.989128 0.147060i \(-0.953019\pi\)
0.930140 + 0.367206i \(0.119685\pi\)
\(684\) 6.63963 + 1.13918i 0.253873 + 0.0435577i
\(685\) 7.83113 + 13.5639i 0.299212 + 0.518250i
\(686\) 2.00152 3.46673i 0.0764182 0.132360i
\(687\) 5.20704 23.7466i 0.198661 0.905989i
\(688\) 1.95035i 0.0743562i
\(689\) −1.27810 26.0074i −0.0486917 0.990803i
\(690\) 6.90069 13.3311i 0.262705 0.507507i
\(691\) 27.6429 7.40689i 1.05159 0.281771i 0.308679 0.951166i \(-0.400113\pi\)
0.742907 + 0.669395i \(0.233447\pi\)
\(692\) 15.1514 + 8.74765i 0.575969 + 0.332536i
\(693\) 18.9358 41.1020i 0.719311 1.56134i
\(694\) −10.5657 10.5657i −0.401069 0.401069i
\(695\) 40.5636 + 10.8690i 1.53866 + 0.412284i
\(696\) −2.57752 2.35095i −0.0977007 0.0891124i
\(697\) 19.3944 19.3944i 0.734617 0.734617i
\(698\) 27.0512 15.6180i 1.02390 0.591151i
\(699\) 27.4143 17.5539i 1.03691 0.663950i
\(700\) 2.94380 + 10.9864i 0.111265 + 0.415247i
\(701\) 0.672924 0.0254160 0.0127080 0.999919i \(-0.495955\pi\)
0.0127080 + 0.999919i \(0.495955\pi\)
\(702\) 16.8802 8.12756i 0.637104 0.306755i
\(703\) −10.8743 −0.410131
\(704\) 1.08766 + 4.05922i 0.0409929 + 0.152987i
\(705\) 5.64454 3.61430i 0.212586 0.136123i
\(706\) −8.95950 + 5.17277i −0.337195 + 0.194680i
\(707\) −5.34758 + 5.34758i −0.201116 + 0.201116i
\(708\) −13.1661 12.0087i −0.494811 0.451315i
\(709\) 29.5534 + 7.91881i 1.10990 + 0.297397i 0.766790 0.641898i \(-0.221853\pi\)
0.343111 + 0.939295i \(0.388519\pi\)
\(710\) 22.2989 + 22.2989i 0.836864 + 0.836864i
\(711\) 1.98400 4.30648i 0.0744060 0.161506i
\(712\) 8.52583 + 4.92239i 0.319519 + 0.184474i
\(713\) 5.04653 1.35221i 0.188994 0.0506408i
\(714\) 9.87205 19.0713i 0.369452 0.713727i
\(715\) 19.7859 38.5214i 0.739950 1.44062i
\(716\) 9.21508i 0.344384i
\(717\) 3.57884 16.3212i 0.133654 0.609528i
\(718\) −6.42720 + 11.1322i −0.239861 + 0.415452i
\(719\) −11.5566 20.0165i −0.430987 0.746491i 0.565972 0.824425i \(-0.308501\pi\)
−0.996959 + 0.0779336i \(0.975168\pi\)
\(720\) 8.45077 + 1.44992i 0.314942 + 0.0540354i
\(721\) −13.2508 + 49.4528i −0.493487 + 1.84172i
\(722\) −3.61247 + 13.4819i −0.134442 + 0.501745i
\(723\) −13.9929 + 4.44747i −0.520402 + 0.165403i
\(724\) −6.90550 11.9607i −0.256641 0.444515i
\(725\) −3.19108 + 5.52711i −0.118514 + 0.205272i
\(726\) −11.2682 2.47083i −0.418201 0.0917012i
\(727\) 11.5379i 0.427917i −0.976843 0.213959i \(-0.931364\pi\)
0.976843 0.213959i \(-0.0686357\pi\)
\(728\) 7.01349 + 10.8772i 0.259937 + 0.403136i
\(729\) −25.9808 + 7.34847i −0.962250 + 0.272166i
\(730\) −39.3630 + 10.5473i −1.45689 + 0.390373i
\(731\) −5.83411 3.36832i −0.215782 0.124582i
\(732\) −0.474440 + 0.0218113i −0.0175358 + 0.000806170i
\(733\) −0.910162 0.910162i −0.0336176 0.0336176i 0.690098 0.723716i \(-0.257567\pi\)
−0.723716 + 0.690098i \(0.757567\pi\)
\(734\) −1.59083 0.426262i −0.0587186 0.0157336i
\(735\) 19.6316 21.5236i 0.724121 0.793909i
\(736\) 2.14421 2.14421i 0.0790365 0.0790365i
\(737\) 15.4524 8.92147i 0.569198 0.328626i
\(738\) −2.18572 23.7217i −0.0804576 0.873207i
\(739\) −3.23160 12.0605i −0.118876 0.443652i 0.880671 0.473728i \(-0.157092\pi\)
−0.999548 + 0.0300754i \(0.990425\pi\)
\(740\) −13.8405 −0.508788
\(741\) −4.89866 13.1400i −0.179957 0.482711i
\(742\) −25.9232 −0.951669
\(743\) 11.8573 + 44.2519i 0.435001 + 1.62345i 0.741064 + 0.671435i \(0.234322\pi\)
−0.306063 + 0.952011i \(0.599012\pi\)
\(744\) 1.60921 + 2.51314i 0.0589966 + 0.0921363i
\(745\) −25.5802 + 14.7687i −0.937185 + 0.541084i
\(746\) −14.1079 + 14.1079i −0.516526 + 0.516526i
\(747\) −3.80496 10.3058i −0.139216 0.377070i
\(748\) −14.0209 3.75688i −0.512653 0.137365i
\(749\) 35.1425 + 35.1425i 1.28408 + 1.28408i
\(750\) 0.416344 + 9.05630i 0.0152027 + 0.330689i
\(751\) 13.8766 + 8.01168i 0.506366 + 0.292350i 0.731338 0.682015i \(-0.238896\pi\)
−0.224973 + 0.974365i \(0.572229\pi\)
\(752\) 1.30782 0.350429i 0.0476912 0.0127788i
\(753\) −10.8285 5.60523i −0.394611 0.204266i
\(754\) −1.53301 + 7.09852i −0.0558289 + 0.258513i
\(755\) 26.2295i 0.954588i
\(756\) −7.25684 17.1822i −0.263929 0.624911i
\(757\) 15.6277 27.0680i 0.567998 0.983802i −0.428765 0.903416i \(-0.641051\pi\)
0.996764 0.0803861i \(-0.0256153\pi\)
\(758\) −6.15590 10.6623i −0.223592 0.387273i
\(759\) 6.68572 + 21.0350i 0.242676 + 0.763523i
\(760\) 1.66109 6.19928i 0.0602542 0.224872i
\(761\) −4.45283 + 16.6182i −0.161415 + 0.602409i 0.837055 + 0.547118i \(0.184275\pi\)
−0.998470 + 0.0552906i \(0.982391\pi\)
\(762\) 10.8567 + 34.1579i 0.393295 + 1.23741i
\(763\) 14.8286 + 25.6839i 0.536832 + 0.929820i
\(764\) −11.3515 + 19.6614i −0.410683 + 0.711324i
\(765\) −18.9320 + 22.7749i −0.684488 + 0.823428i
\(766\) 28.3459i 1.02418i
\(767\) −7.83066 + 36.2595i −0.282749 + 1.30925i
\(768\) 1.53819 + 0.796225i 0.0555046 + 0.0287313i
\(769\) 0.224553 0.0601687i 0.00809758 0.00216974i −0.254768 0.967002i \(-0.581999\pi\)
0.262866 + 0.964832i \(0.415332\pi\)
\(770\) −37.3373 21.5567i −1.34554