Properties

Label 78.2.k.a.59.1
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 59.1
Root \(0.500000 + 0.410882i\) of defining polynomial
Character \(\chi\) \(=\) 78.59
Dual form 78.2.k.a.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(-0.0795432 + 1.73022i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.02097 - 2.02097i) q^{5} +(1.69185 - 0.370982i) q^{6} +(3.46723 + 0.929042i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.98735 - 0.275255i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(-0.0795432 + 1.73022i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(2.02097 - 2.02097i) q^{5} +(1.69185 - 0.370982i) q^{6} +(3.46723 + 0.929042i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.98735 - 0.275255i) 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} +(3.33598 + 3.65748i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.72704 - 2.99132i) q^{17} +(0.507306 + 2.95680i) q^{18} +(0.581191 - 2.16903i) q^{19} +(-0.739726 + 2.76070i) q^{20} +(-1.88324 + 5.92518i) q^{21} +(2.10121 + 3.63939i) q^{22} +(-1.51618 + 2.62611i) q^{23} +(-1.27970 + 1.16721i) 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} +(2.66944 - 4.16893i) q^{30} +(1.21829 + 1.21829i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(-1.55902 - 7.10987i) q^{33} +(-2.44240 + 2.44240i) q^{34} +(8.88473 - 5.12960i) q^{35} +(2.72474 - 1.25529i) q^{36} +(-1.25335 - 4.67758i) q^{37} -2.24555 q^{38} +(-0.0197576 - 6.24497i) q^{39} +2.85808 q^{40} +(2.05521 + 7.67015i) q^{41} +(6.21071 + 0.285524i) q^{42} +(-1.68905 + 0.975173i) q^{43} +(2.97155 - 2.97155i) q^{44} +(-6.59362 + 5.48105i) q^{45} +(2.92904 + 0.784834i) q^{46} +(-0.957390 - 0.957390i) q^{47} +(1.45865 + 0.933998i) 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} +(-5.15627 + 0.642559i) q^{54} +(-6.00542 + 10.4017i) q^{55} +(1.79477 + 3.10863i) q^{56} +(3.70668 + 1.17812i) q^{57} +(0.521304 - 1.94553i) q^{58} +(-2.66284 + 9.93785i) q^{59} +(-4.71778 - 1.49949i) q^{60} +(-0.137104 - 0.237470i) q^{61} +(0.861464 - 1.49210i) q^{62} +(-10.1021 - 3.72974i) 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} +(-4.42315 - 2.83223i) q^{69} +(-7.25436 - 7.25436i) q^{70} +(10.6578 + 2.85575i) q^{71} +(-1.91774 - 2.30701i) q^{72} +(10.0822 - 10.0822i) q^{73} +(-4.19381 + 2.42130i) q^{74} +(5.48246 + 0.252044i) q^{75} +(0.581191 + 2.16903i) q^{76} -15.0847 q^{77} +(-6.02706 + 1.63540i) q^{78} +1.58051 q^{79} +(-0.739726 - 2.76070i) q^{80} +(8.84847 + 1.64456i) q^{81} +(6.87686 - 3.97036i) q^{82} +(-2.58938 + 2.58938i) q^{83} +(-1.33165 - 6.07298i) q^{84} +(-9.53567 - 2.55507i) q^{85} +(1.37910 + 1.37910i) q^{86} +(-1.88122 + 2.93795i) 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} +(-2.20483 + 2.01101i) q^{93} +(-0.676977 + 1.17256i) q^{94} +(-3.20898 - 5.55812i) q^{95} +(0.524648 - 1.65068i) q^{96} +(-2.07638 + 7.74915i) q^{97} +(1.52310 - 5.68429i) q^{98} +(12.4257 - 2.13191i) 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
\(3\) −0.0795432 + 1.73022i −0.0459243 + 0.998945i
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 2.02097 2.02097i 0.903805 0.903805i −0.0919576 0.995763i \(-0.529312\pi\)
0.995763 + 0.0919576i \(0.0293124\pi\)
\(6\) 1.69185 0.370982i 0.690697 0.151453i
\(7\) 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
\(9\) −2.98735 0.275255i −0.995782 0.0917517i
\(10\) −2.47517 1.42904i −0.782718 0.451903i
\(11\) −4.05922 + 1.08766i −1.22390 + 0.327943i −0.812201 0.583377i \(-0.801731\pi\)
−0.411699 + 0.911320i \(0.635064\pi\)
\(12\) −0.796225 1.53819i −0.229850 0.444037i
\(13\) −3.60121 + 0.176977i −0.998795 + 0.0490845i
\(14\) 3.58954i 0.959345i
\(15\) 3.33598 + 3.65748i 0.861345 + 0.944358i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.72704 2.99132i −0.418869 0.725502i 0.576957 0.816774i \(-0.304240\pi\)
−0.995826 + 0.0912724i \(0.970907\pi\)
\(18\) 0.507306 + 2.95680i 0.119573 + 0.696923i
\(19\) 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
\(21\) −1.88324 + 5.92518i −0.410958 + 1.29298i
\(22\) 2.10121 + 3.63939i 0.447978 + 0.775921i
\(23\) −1.51618 + 2.62611i −0.316146 + 0.547581i −0.979680 0.200565i \(-0.935722\pi\)
0.663534 + 0.748146i \(0.269056\pi\)
\(24\) −1.27970 + 1.16721i −0.261217 + 0.238255i
\(25\) 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 0.653135 0.757242i \(-0.273454\pi\)
−0.329223 + 0.944252i \(0.606787\pi\)
\(30\) 2.66944 4.16893i 0.487372 0.761139i
\(31\) 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
\(33\) −1.55902 7.10987i −0.271390 1.23767i
\(34\) −2.44240 + 2.44240i −0.418869 + 0.418869i
\(35\) 8.88473 5.12960i 1.50179 0.867061i
\(36\) 2.72474 1.25529i 0.454124 0.209216i
\(37\) −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
\(39\) −0.0197576 6.24497i −0.00316375 0.999995i
\(40\) 2.85808 0.451903
\(41\) 2.05521 + 7.67015i 0.320970 + 1.19788i 0.918302 + 0.395881i \(0.129561\pi\)
−0.597332 + 0.801994i \(0.703772\pi\)
\(42\) 6.21071 + 0.285524i 0.958333 + 0.0440573i
\(43\) −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
\(45\) −6.59362 + 5.48105i −0.982919 + 0.817067i
\(46\) 2.92904 + 0.784834i 0.431864 + 0.115718i
\(47\) −0.957390 0.957390i −0.139650 0.139650i 0.633826 0.773476i \(-0.281484\pi\)
−0.773476 + 0.633826i \(0.781484\pi\)
\(48\) 1.45865 + 0.933998i 0.210537 + 0.134811i
\(49\) 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 \(-0.834802\pi\)
0.868323 0.495999i \(-0.165198\pi\)
\(54\) −5.15627 + 0.642559i −0.701679 + 0.0874413i
\(55\) −6.00542 + 10.4017i −0.809771 + 1.40256i
\(56\) 1.79477 + 3.10863i 0.239836 + 0.415409i
\(57\) 3.70668 + 1.17812i 0.490962 + 0.156046i
\(58\) 0.521304 1.94553i 0.0684505 0.255461i
\(59\) −2.66284 + 9.93785i −0.346672 + 1.29380i 0.543975 + 0.839101i \(0.316919\pi\)
−0.890647 + 0.454696i \(0.849748\pi\)
\(60\) −4.71778 1.49949i −0.609063 0.193583i
\(61\) −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
\(63\) −10.1021 3.72974i −1.27274 0.469903i
\(64\) 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
\(69\) −4.42315 2.83223i −0.532485 0.340960i
\(70\) −7.25436 7.25436i −0.867061 0.867061i
\(71\) 10.6578 + 2.85575i 1.26485 + 0.338915i 0.828055 0.560647i \(-0.189447\pi\)
0.436793 + 0.899562i \(0.356114\pi\)
\(72\) −1.91774 2.30701i −0.226008 0.271883i
\(73\) 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
\(75\) 5.48246 + 0.252044i 0.633059 + 0.0291035i
\(76\) 0.581191 + 2.16903i 0.0666672 + 0.248805i
\(77\) −15.0847 −1.71906
\(78\) −6.02706 + 1.63540i −0.682430 + 0.185173i
\(79\) 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
\(81\) 8.84847 + 1.64456i 0.983163 + 0.182729i
\(82\) 6.87686 3.97036i 0.759423 0.438453i
\(83\) −2.58938 + 2.58938i −0.284221 + 0.284221i −0.834790 0.550569i \(-0.814411\pi\)
0.550569 + 0.834790i \(0.314411\pi\)
\(84\) −1.33165 6.07298i −0.145295 0.662617i
\(85\) −9.53567 2.55507i −1.03429 0.277137i
\(86\) 1.37910 + 1.37910i 0.148712 + 0.148712i
\(87\) −1.88122 + 2.93795i −0.201688 + 0.314981i
\(88\) −3.63939 2.10121i −0.387961 0.223989i
\(89\) 9.50933 2.54802i 1.00799 0.270089i 0.283199 0.959061i \(-0.408604\pi\)
0.724788 + 0.688972i \(0.241938\pi\)
\(90\) 7.00085 + 4.95035i 0.737954 + 0.521812i
\(91\) −12.6506 2.73205i −1.32615 0.286397i
\(92\) 3.03237i 0.316146i
\(93\) −2.20483 + 2.01101i −0.228630 + 0.208533i
\(94\) −0.676977 + 1.17256i −0.0698248 + 0.120940i
\(95\) −3.20898 5.55812i −0.329235 0.570251i
\(96\) 0.524648 1.65068i 0.0535466 0.168472i
\(97\) −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
\(99\) 12.4257 2.13191i 1.24883 0.214265i
\(100\) 1.58432 + 2.74412i 0.158432 + 0.274412i
\(101\) 1.05342 1.82458i 0.104820 0.181553i −0.808845 0.588022i \(-0.799907\pi\)
0.913665 + 0.406469i \(0.133240\pi\)
\(102\) −4.03163 4.42018i −0.399191 0.437663i
\(103\) 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 −0.208066 0.978115i \(-0.566717\pi\)
−0.951105 + 0.308867i \(0.900050\pi\)
\(108\) 1.95521 + 4.81427i 0.188140 + 0.463253i
\(109\) 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
\(111\) 8.19296 1.79651i 0.777641 0.170518i
\(112\) 2.53819 2.53819i 0.239836 0.239836i
\(113\) 15.5920 9.00205i 1.46677 0.846841i 0.467463 0.884012i \(-0.345168\pi\)
0.999309 + 0.0371710i \(0.0118346\pi\)
\(114\) 0.178618 3.88530i 0.0167291 0.363892i
\(115\) 2.24312 + 8.37145i 0.209172 + 0.780641i
\(116\) −2.01416 −0.187010
\(117\) 10.8068 + 0.462560i 0.999085 + 0.0427637i
\(118\) 10.2884 0.947125
\(119\) −3.20898 11.9761i −0.294167 1.09785i
\(120\) −0.227341 + 4.94512i −0.0207533 + 0.451426i
\(121\) 5.76795 3.33013i 0.524359 0.302739i
\(122\) −0.193894 + 0.193894i −0.0175543 + 0.0175543i
\(123\) −13.4345 + 2.94586i −1.21135 + 0.265620i
\(124\) −1.66422 0.445927i −0.149452 0.0400454i
\(125\) 3.70112 + 3.70112i 0.331039 + 0.331039i
\(126\) −0.988040 + 10.7232i −0.0880216 + 0.955299i
\(127\) −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 \(-0.934419\pi\)
0.978851 0.204576i \(-0.0655814\pi\)
\(132\) 4.90508 + 5.37782i 0.426933 + 0.468079i
\(133\) 4.03025 6.98059i 0.349467 0.605294i
\(134\) −2.12294 3.67704i −0.183394 0.317648i
\(135\) −8.95897 11.8444i −0.771065 1.01940i
\(136\) 0.893982 3.33639i 0.0766583 0.286093i
\(137\) −1.41832 + 5.29326i −0.121176 + 0.452234i −0.999675 0.0255107i \(-0.991879\pi\)
0.878499 + 0.477744i \(0.158545\pi\)
\(138\) −1.59092 + 5.00547i −0.135428 + 0.426094i
\(139\) −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
\(141\) 1.73265 1.58034i 0.145916 0.133089i
\(142\) 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
\(147\) −5.49640 + 8.58385i −0.453335 + 0.707984i
\(148\) 3.42423 + 3.42423i 0.281470 + 0.281470i
\(149\) −9.98255 2.67482i −0.817803 0.219130i −0.174417 0.984672i \(-0.555804\pi\)
−0.643386 + 0.765542i \(0.722471\pi\)
\(150\) −1.17551 5.36088i −0.0959798 0.437714i
\(151\) −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
\(153\) 4.33589 + 9.41149i 0.350536 + 0.760874i
\(154\) 3.90421 + 14.5707i 0.314611 + 1.17414i
\(155\) 4.92427 0.395527
\(156\) 3.13959 + 5.39842i 0.251369 + 0.432220i
\(157\) −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
\(159\) 12.4954 + 0.574450i 0.990952 + 0.0455568i
\(160\) −2.47517 + 1.42904i −0.195680 + 0.112976i
\(161\) −7.69672 + 7.69672i −0.606587 + 0.606587i
\(162\) −0.701625 8.97261i −0.0551249 0.704955i
\(163\) 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
\(165\) −17.5196 11.2181i −1.36390 0.873328i
\(166\) 3.17133 + 1.83097i 0.246143 + 0.142110i
\(167\) 5.39478 1.44553i 0.417461 0.111858i −0.0439735 0.999033i \(-0.514002\pi\)
0.461434 + 0.887174i \(0.347335\pi\)
\(168\) −5.52139 + 2.85808i −0.425985 + 0.220506i
\(169\) 12.9374 1.27466i 0.995181 0.0980507i
\(170\) 9.87205i 0.757152i
\(171\) −2.33326 + 6.31968i −0.178429 + 0.483278i
\(172\) 0.975173 1.68905i 0.0743562 0.128789i
\(173\) 8.74765 + 15.1514i 0.665072 + 1.15194i 0.979266 + 0.202579i \(0.0649324\pi\)
−0.314194 + 0.949359i \(0.601734\pi\)
\(174\) 3.32474 + 1.05673i 0.252048 + 0.0801102i
\(175\) 2.94380 10.9864i 0.222530 0.830494i
\(176\) −1.08766 + 4.05922i −0.0819857 + 0.305975i
\(177\) −16.9829 5.39779i −1.27651 0.405723i
\(178\) −4.92239 8.52583i −0.368949 0.639038i
\(179\) −4.60754 + 7.98049i −0.344384 + 0.596490i −0.985242 0.171169i \(-0.945245\pi\)
0.640858 + 0.767660i \(0.278579\pi\)
\(180\) 2.96971 8.04354i 0.221349 0.599530i
\(181\) 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
\(186\) 2.51314 + 1.60921i 0.184273 + 0.117993i
\(187\) 10.2640 + 10.2640i 0.750577 + 0.750577i
\(188\) 1.30782 + 0.350429i 0.0953825 + 0.0255577i
\(189\) 7.25684 17.1822i 0.527857 1.24982i
\(190\) −4.53819 + 4.53819i −0.329235 + 0.329235i
\(191\) −19.6614 + 11.3515i −1.42265 + 0.821366i −0.996525 0.0832996i \(-0.973454\pi\)
−0.426123 + 0.904665i \(0.640121\pi\)
\(192\) −1.73022 0.0795432i −0.124868 0.00574054i
\(193\) −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
\(195\) −12.6608 12.5810i −0.906660 0.900941i
\(196\) −5.88481 −0.420343
\(197\) −4.82369 18.0023i −0.343674 1.28261i −0.894154 0.447760i \(-0.852222\pi\)
0.550480 0.834849i \(-0.314445\pi\)
\(198\) −5.27526 11.4505i −0.374897 0.813751i
\(199\) −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
\(201\) 1.57514 + 7.18341i 0.111102 + 0.506679i
\(202\) −2.03506 0.545293i −0.143186 0.0383667i
\(203\) 5.11233 + 5.11233i 0.358815 + 0.358815i
\(204\) −3.22610 + 5.03828i −0.225872 + 0.352750i
\(205\) 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
\(210\) 13.1287 11.9746i 0.905966 0.826327i
\(211\) 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
\(213\) −5.78884 + 18.2132i −0.396645 + 1.24795i
\(214\) −3.58348 + 13.3737i −0.244962 + 0.914210i
\(215\) −1.44272 + 5.38431i −0.0983928 + 0.367207i
\(216\) 4.14418 3.13461i 0.281976 0.213283i
\(217\) 3.09226 + 5.35596i 0.209916 + 0.363586i
\(218\) 4.13106 7.15520i 0.279791 0.484612i
\(219\) 16.6425 + 18.2464i 1.12459 + 1.23298i
\(220\) 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
\(225\) −0.872184 + 9.46582i −0.0581456 + 0.631055i
\(226\) −12.7308 12.7308i −0.846841 0.846841i
\(227\) 4.85544 + 1.30101i 0.322267 + 0.0863512i 0.416326 0.909215i \(-0.363318\pi\)
−0.0940589 + 0.995567i \(0.529984\pi\)
\(228\) −3.79914 + 0.833058i −0.251604 + 0.0551706i
\(229\) −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
\(231\) 1.19989 26.0999i 0.0789468 1.71725i
\(232\) 0.521304 + 1.94553i 0.0342253 + 0.127730i
\(233\) 18.7944 1.23126 0.615630 0.788035i \(-0.288902\pi\)
0.615630 + 0.788035i \(0.288902\pi\)
\(234\) −2.35020 10.5582i −0.153637 0.690214i
\(235\) −3.86971 −0.252432
\(236\) −2.66284 9.93785i −0.173336 0.646899i
\(237\) −0.125719 + 2.73463i −0.00816631 + 0.177633i
\(238\) −10.7375 + 6.19928i −0.696007 + 0.401840i
\(239\) 6.82142 6.82142i 0.441241 0.441241i −0.451188 0.892429i \(-0.649000\pi\)
0.892429 + 0.451188i \(0.149000\pi\)
\(240\) 4.83546 1.06030i 0.312128 0.0684419i
\(241\) 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
\(243\) −3.54930 + 15.1790i −0.227688 + 0.973734i
\(244\) 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
\(249\) −4.27423 4.68617i −0.270868 0.296974i
\(250\) 2.61709 4.53293i 0.165519 0.286688i
\(251\) −3.51988 6.09661i −0.222173 0.384814i 0.733295 0.679911i \(-0.237982\pi\)
−0.955467 + 0.295096i \(0.904648\pi\)
\(252\) 10.6135 1.82100i 0.668590 0.114712i
\(253\) 3.29820 12.3090i 0.207356 0.773862i
\(254\) −5.35580 + 19.9881i −0.336053 + 1.25417i
\(255\) 5.17935 16.2956i 0.324343 1.02047i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −0.815993 + 1.41334i −0.0509003 + 0.0881618i −0.890353 0.455271i \(-0.849542\pi\)
0.839453 + 0.543433i \(0.182876\pi\)
\(258\) −2.49585 + 2.27646i −0.155385 + 0.141726i
\(259\) 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 0.190544 0.981679i \(-0.438975\pi\)
−0.754886 + 0.655856i \(0.772308\pi\)
\(264\) 3.92504 6.12983i 0.241570 0.377265i
\(265\) −14.5952 14.5952i −0.896574 0.896574i
\(266\) −7.78584 2.08621i −0.477380 0.127914i
\(267\) 3.65223 + 16.6559i 0.223513 + 1.01933i
\(268\) −3.00229 + 3.00229i −0.183394 + 0.183394i
\(269\) −7.46392 + 4.30930i −0.455083 + 0.262742i −0.709975 0.704227i \(-0.751294\pi\)
0.254891 + 0.966970i \(0.417960\pi\)
\(270\) −9.12207 + 11.7193i −0.555152 + 0.713211i
\(271\) 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
\(273\) 5.73333 21.6711i 0.346997 1.31159i
\(274\) 5.47999 0.331058
\(275\) 3.44642 + 12.8622i 0.207827 + 0.775620i
\(276\) 5.24667 + 0.241204i 0.315813 + 0.0145188i
\(277\) −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
\(279\) −3.30413 3.97481i −0.197813 0.237966i
\(280\) 9.90963 + 2.65528i 0.592214 + 0.158683i
\(281\) −11.9452 11.9452i −0.712591 0.712591i 0.254486 0.967077i \(-0.418094\pi\)
−0.967077 + 0.254486i \(0.918094\pi\)
\(282\) −1.97494 1.26459i −0.117606 0.0753052i
\(283\) −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
\(288\) 2.81431 + 1.03906i 0.165835 + 0.0612271i
\(289\) 2.53467 4.39017i 0.149098 0.258245i
\(290\) −2.87832 4.98540i −0.169021 0.292753i
\(291\) −13.2426 4.20899i −0.776295 0.246735i
\(292\) −3.69034 + 13.7725i −0.215961 + 0.805976i
\(293\) −1.01073 + 3.77209i −0.0590474 + 0.220368i −0.989145 0.146946i \(-0.953056\pi\)
0.930097 + 0.367314i \(0.119722\pi\)
\(294\) 9.71393 + 3.08745i 0.566528 + 0.180064i
\(295\) 14.7026 + 25.4656i 0.856017 + 1.48266i
\(296\) 2.42130 4.19381i 0.140735 0.243760i
\(297\) 2.70030 + 21.6688i 0.156687 + 1.25735i
\(298\) 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
\(303\) 3.07315 + 1.96779i 0.176548 + 0.113047i
\(304\) −1.58784 1.58784i −0.0910691 0.0910691i
\(305\) −0.757003 0.202838i −0.0433459 0.0116145i
\(306\) 7.96859 6.62402i 0.455534 0.378670i
\(307\) 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
\(309\) −24.6780 1.13452i −1.40388 0.0645404i
\(310\) −1.27450 4.75648i −0.0723865 0.270150i
\(311\) −20.9295 −1.18681 −0.593403 0.804906i \(-0.702216\pi\)
−0.593403 + 0.804906i \(0.702216\pi\)
\(312\) 4.40189 4.42983i 0.249208 0.250790i
\(313\) −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
\(315\) −27.9537 + 12.8783i −1.57501 + 0.725612i
\(316\) −1.36876 + 0.790254i −0.0769988 + 0.0444553i
\(317\) 5.21085 5.21085i 0.292671 0.292671i −0.545464 0.838134i \(-0.683646\pi\)
0.838134 + 0.545464i \(0.183646\pi\)
\(318\) −2.67918 12.2183i −0.150241 0.685170i
\(319\) −8.17593 2.19073i −0.457764 0.122657i
\(320\) 2.02097 + 2.02097i 0.112976 + 0.112976i
\(321\) 12.9317 20.1957i 0.721776 1.12721i
\(322\) 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
\(327\) −10.5730 + 9.64360i −0.584689 + 0.533292i
\(328\) −3.97036 + 6.87686i −0.219226 + 0.379711i
\(329\) −2.43004 4.20895i −0.133972 0.232047i
\(330\) −6.30146 + 19.8261i −0.346884 + 1.09139i
\(331\) 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
\(333\) 2.45667 + 14.3186i 0.134625 + 0.784652i
\(334\) −2.79254 4.83683i −0.152801 0.264660i
\(335\) 6.06754 10.5093i 0.331505 0.574184i
\(336\) 4.18974 + 4.59353i 0.228569 + 0.250598i
\(337\) 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
\(342\) 6.70823 + 0.618099i 0.362740 + 0.0334230i
\(343\) −2.83057 2.83057i −0.152836 0.152836i
\(344\) −1.88389 0.504787i −0.101572 0.0272163i
\(345\) −14.6629 + 3.21521i −0.789424 + 0.173101i
\(346\) 12.3711 12.3711i 0.665072 0.665072i
\(347\) 12.9403 7.47108i 0.694671 0.401069i −0.110688 0.993855i \(-0.535306\pi\)
0.805360 + 0.592787i \(0.201972\pi\)
\(348\) 0.160213 3.48495i 0.00858832 0.186813i
\(349\) −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
\(351\) −1.65994 + 18.6613i −0.0886008 + 0.996067i
\(352\) 4.20241 0.223989
\(353\) −2.67762 9.99302i −0.142515 0.531875i −0.999853 0.0171211i \(-0.994550\pi\)
0.857338 0.514754i \(-0.172117\pi\)
\(354\) −0.818374 + 17.8013i −0.0434961 + 0.946126i
\(355\) 27.3105 15.7677i 1.44949 0.836864i
\(356\) −6.96131 + 6.96131i −0.368949 + 0.368949i
\(357\) 20.9766 4.59964i 1.11020 0.243439i
\(358\) 8.90109 + 2.38504i 0.470437 + 0.126053i
\(359\) −9.08944 9.08944i −0.479722 0.479722i 0.425321 0.905043i \(-0.360161\pi\)
−0.905043 + 0.425321i \(0.860161\pi\)
\(360\) −8.53808 0.786702i −0.449996 0.0414628i
\(361\) 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
\(366\) −0.320057 0.350903i −0.0167296 0.0183420i
\(367\) −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
\(369\) −4.02837 23.4791i −0.209709 1.22227i
\(370\) −3.58219 + 13.3689i −0.186229 + 0.695017i
\(371\) 6.70941 25.0398i 0.348335 1.30000i
\(372\) 0.903931 2.84400i 0.0468666 0.147455i
\(373\) 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
\(375\) −6.69817 + 6.10937i −0.345892 + 0.315487i
\(376\) 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
\(381\) 19.3274 30.1841i 0.990175 1.54638i
\(382\) 16.0534 + 16.0534i 0.821366 + 0.821366i
\(383\) 27.3800 + 7.33645i 1.39905 + 0.374875i 0.878005 0.478652i \(-0.158875\pi\)
0.521048 + 0.853527i \(0.325541\pi\)
\(384\) 0.370982 + 1.69185i 0.0189316 + 0.0863371i
\(385\) −30.4858 + 30.4858i −1.55370 + 1.55370i
\(386\) −17.3601 + 10.0229i −0.883605 + 0.510150i
\(387\) 5.31419 2.44826i 0.270136 0.124452i
\(388\) −2.07638 7.74915i −0.105412 0.393403i
\(389\) 15.9504 0.808717 0.404359 0.914601i \(-0.367495\pi\)
0.404359 + 0.914601i \(0.367495\pi\)
\(390\) −8.87541 + 15.4856i −0.449424 + 0.784144i
\(391\) 10.4740 0.529695
\(392\) 1.52310 + 5.68429i 0.0769282 + 0.287100i
\(393\) 8.10255 + 0.372497i 0.408720 + 0.0187900i
\(394\) −16.1404 + 9.31866i −0.813141 + 0.469467i
\(395\) 3.19416 3.19416i 0.160716 0.160716i
\(396\) −9.69499 + 8.05912i −0.487192 + 0.404986i
\(397\) −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
\(399\) 11.7574 + 7.52849i 0.588606 + 0.376896i
\(400\) −2.74412 1.58432i −0.137206 0.0792160i
\(401\) −15.8603 + 4.24976i −0.792027 + 0.212223i −0.632080 0.774903i \(-0.717799\pi\)
−0.159946 + 0.987126i \(0.551132\pi\)
\(402\) 6.53097 3.38068i 0.325735 0.168613i
\(403\) −4.60294 4.17172i −0.229289 0.207808i
\(404\) 2.10685i 0.104820i
\(405\) 21.2061 14.5589i 1.05374 0.723436i
\(406\) 3.61496 6.26130i 0.179408 0.310743i
\(407\) 10.1753 + 17.6241i 0.504370 + 0.873594i
\(408\) 5.70158 + 1.81217i 0.282270 + 0.0897160i
\(409\) −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
\(411\) −9.04570 2.87506i −0.446192 0.141816i
\(412\) −7.13145 12.3520i −0.351341 0.608541i
\(413\) −18.4653 + 31.9829i −0.908620 + 1.57378i
\(414\) −8.53403 3.15081i −0.419425 0.154854i
\(415\) 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 0.993541 0.113477i \(-0.0361989\pi\)
0.398496 + 0.917170i \(0.369532\pi\)
\(420\) −14.9646 9.58208i −0.730195 0.467558i
\(421\) 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
\(423\) 2.59653 + 3.12358i 0.126247 + 0.151874i
\(424\) 5.10662 5.10662i 0.248000 0.248000i
\(425\) −9.47842 + 5.47237i −0.459771 + 0.265449i
\(426\) 19.0909 + 0.877662i 0.924957 + 0.0425229i
\(427\) −0.254750 0.950740i −0.0123282 0.0460095i
\(428\) 13.8455 0.669248
\(429\) 6.87263 + 25.3282i 0.331813 + 1.22286i
\(430\) 5.57425 0.268814
\(431\) −0.454427 1.69594i −0.0218890 0.0816908i 0.954117 0.299433i \(-0.0967975\pi\)
−0.976006 + 0.217742i \(0.930131\pi\)
\(432\) −4.10039 3.19168i −0.197280 0.153560i
\(433\) −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
\(435\) 2.13561 + 9.73941i 0.102395 + 0.466969i
\(436\) −7.98059 2.13839i −0.382201 0.102410i
\(437\) 4.81492 + 4.81492i 0.230329 + 0.230329i
\(438\) 13.3173 20.7979i 0.636325 0.993763i
\(439\) −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 \(-0.895498\pi\)
0.946591 0.322438i \(-0.104502\pi\)
\(444\) −6.19705 + 5.65231i −0.294099 + 0.268247i
\(445\) 14.0686 24.3675i 0.666916 1.15513i
\(446\) −10.5378 18.2520i −0.498979 0.864257i
\(447\) 5.42208 17.0593i 0.256455 0.806877i
\(448\) −0.929042 + 3.46723i −0.0438931 + 0.163811i
\(449\) −0.525222 + 1.96016i −0.0247868 + 0.0925055i −0.977211 0.212269i \(-0.931915\pi\)
0.952424 + 0.304775i \(0.0985812\pi\)
\(450\) 9.36902 1.60747i 0.441660 0.0757769i
\(451\) −16.6851 28.8994i −0.785670 1.36082i
\(452\) −9.00205 + 15.5920i −0.423421 + 0.733386i
\(453\) −10.7118 11.7442i −0.503284 0.551789i
\(454\) 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
\(459\) −16.6289 + 6.75344i −0.776169 + 0.315223i
\(460\) −6.12832 6.12832i −0.285735 0.285735i
\(461\) −15.5621 4.16985i −0.724798 0.194209i −0.122487 0.992470i \(-0.539087\pi\)
−0.602312 + 0.798261i \(0.705754\pi\)
\(462\) −25.5212 + 5.59616i −1.18735 + 0.260357i
\(463\) −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
\(465\) −0.391693 + 8.52009i −0.0181643 + 0.395110i
\(466\) −4.86434 18.1540i −0.225336 0.840966i
\(467\) −36.8536 −1.70538 −0.852690 0.522417i \(-0.825030\pi\)
−0.852690 + 0.522417i \(0.825030\pi\)
\(468\) −9.59021 + 5.00279i −0.443308 + 0.231254i
\(469\) 15.2408 0.703753
\(470\) 1.00155 + 3.73785i 0.0461983 + 0.172414i
\(471\) 1.12499 24.4708i 0.0518368 1.12755i
\(472\) −8.91003 + 5.14421i −0.410117 + 0.236781i
\(473\) 5.79555 5.79555i 0.266480 0.266480i
\(474\) 2.67399 0.586340i 0.122820 0.0269315i
\(475\) −6.87289 1.84159i −0.315350 0.0844977i
\(476\) 8.76711 + 8.76711i 0.401840 + 0.401840i
\(477\) −1.98785 + 21.5742i −0.0910176 + 0.987814i
\(478\) −8.35450 4.82347i −0.382126 0.220621i
\(479\) −14.5305 + 3.89342i −0.663913 + 0.177895i −0.575011 0.818145i \(-0.695002\pi\)
−0.0889019 + 0.996040i \(0.528336\pi\)
\(480\) −2.27568 4.39627i −0.103870 0.200661i
\(481\) 5.34141 + 16.6231i 0.243547 + 0.757949i
\(482\) 8.47706i 0.386119i
\(483\) −12.7048 13.9293i −0.578090 0.633804i
\(484\) −3.33013 + 5.76795i −0.151369 + 0.262180i
\(485\) 11.4645 + 19.8571i 0.520576 + 0.901664i
\(486\) 15.5804 0.500258i 0.706743 0.0226921i
\(487\) 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
\(489\) −0.584640 + 1.83943i −0.0264383 + 0.0831820i
\(490\) −8.40963 14.5659i −0.379909 0.658021i
\(491\) 12.6333 21.8815i 0.570132 0.987498i −0.426419 0.904526i \(-0.640225\pi\)
0.996552 0.0829727i \(-0.0264414\pi\)
\(492\) 10.1617 9.26846i 0.458126 0.417855i
\(493\) 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
\(498\) −3.42024 + 5.34146i −0.153264 + 0.239357i
\(499\) 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
\(501\) 2.07197 + 9.44916i 0.0925687 + 0.422157i
\(502\) −4.97786 + 4.97786i −0.222173 + 0.222173i
\(503\) −9.77777 + 5.64520i −0.435969 + 0.251707i −0.701886 0.712289i \(-0.747659\pi\)
0.265917 + 0.963996i \(0.414325\pi\)
\(504\) −4.50593 9.78058i −0.200710 0.435662i
\(505\) −1.55849 5.81637i −0.0693520 0.258825i
\(506\) −12.7433 −0.566507
\(507\) 1.17636 + 22.4859i 0.0522442 + 0.998634i
\(508\) 20.6932 0.918114
\(509\) 9.73260 + 36.3226i 0.431390 + 1.60997i 0.749561 + 0.661936i \(0.230265\pi\)
−0.318171 + 0.948033i \(0.603069\pi\)
\(510\) −17.0808 0.785255i −0.756353 0.0347717i
\(511\) 44.3241 25.5905i 1.96078 1.13206i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −10.7489 4.53974i −0.474574 0.200435i
\(514\) 1.57638 + 0.422389i 0.0695311 + 0.0186308i
\(515\) 28.8249 + 28.8249i 1.27018 + 1.27018i
\(516\) 2.84486 + 1.82162i 0.125238 + 0.0801923i
\(517\) 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 \(0.130615\pi\)
−0.916985 + 0.398922i \(0.869385\pi\)
\(522\) −2.09283 + 5.66849i −0.0916008 + 0.248103i
\(523\) −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
\(525\) 18.7748 + 5.96732i 0.819398 + 0.260435i
\(526\) −2.73518 + 10.2078i −0.119260 + 0.445083i
\(527\) 1.54027 5.74835i 0.0670951 0.250402i
\(528\) −6.93684 2.20478i −0.301887 0.0959509i
\(529\) 6.90238 + 11.9553i 0.300103 + 0.519794i
\(530\) −10.3203 + 17.8753i −0.448287 + 0.776455i
\(531\) 10.6903 28.9548i 0.463918 1.25653i
\(532\) 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
\(537\) −13.4415 8.60687i −0.580045 0.371414i
\(538\) 6.09426 + 6.09426i 0.262742 + 0.262742i
\(539\) −23.8877 6.40069i −1.02892 0.275697i
\(540\) 13.6809 + 5.77808i 0.588732 + 0.248649i
\(541\) −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
\(543\) −23.8961 1.09857i −1.02548 0.0471442i
\(544\) 0.893982 + 3.33639i 0.0383291 + 0.143046i
\(545\) 23.6138 1.01150
\(546\) −22.4166 + 0.0709208i −0.959340 + 0.00303513i
\(547\) −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
\(549\) 0.344211 + 0.747145i 0.0146906 + 0.0318874i
\(550\) 11.5319 6.65796i 0.491723 0.283897i
\(551\) 3.19818 3.19818i 0.136247 0.136247i
\(552\) −1.12495 5.13032i −0.0478812 0.218361i
\(553\) 5.47999 + 1.46836i 0.233033 + 0.0624409i
\(554\) 10.9619 + 10.9619i 0.465726 + 0.465726i
\(555\) 12.9270 20.1884i 0.548722 0.856951i
\(556\) 12.7247 + 7.34662i 0.539648 + 0.311566i
\(557\) −2.17782 + 0.583545i −0.0922772 + 0.0247256i −0.304662 0.952460i \(-0.598544\pi\)
0.212385 + 0.977186i \(0.431877\pi\)
\(558\) −2.98420 + 4.22030i −0.126331 + 0.178659i
\(559\) 5.91003 3.81072i 0.249968 0.161176i
\(560\) 10.2592i 0.433531i
\(561\) −18.5754 + 16.9426i −0.784254 + 0.715315i
\(562\) −8.44653 + 14.6298i −0.356296 + 0.617122i
\(563\) −18.1490 31.4349i −0.764888 1.32482i −0.940306 0.340330i \(-0.889461\pi\)
0.175418 0.984494i \(-0.443872\pi\)
\(564\) −0.710348 + 2.23494i −0.0299111 + 0.0941081i
\(565\) 13.3181 49.7038i 0.560297 2.09106i
\(566\) −0.408861 + 1.52589i −0.0171857 + 0.0641380i
\(567\) 29.1518 + 13.9227i 1.22426 + 0.584698i
\(568\) 5.51689 + 9.55553i 0.231483 + 0.400941i
\(569\) 19.5376 33.8400i 0.819057 1.41865i −0.0873209 0.996180i \(-0.527831\pi\)
0.906378 0.422468i \(-0.138836\pi\)
\(570\) −7.49110 8.21306i −0.313768 0.344007i
\(571\) 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
\(576\) 0.275255 2.98735i 0.0114690 0.124473i
\(577\) 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
\(579\) 33.9144 7.43659i 1.40944 0.309054i
\(580\) −4.07056 + 4.07056i −0.169021 + 0.169021i
\(581\) −11.3836 + 6.57233i −0.472271 + 0.272666i
\(582\) −0.638136 + 13.8807i −0.0264516 + 0.575375i
\(583\) 7.85495 + 29.3151i 0.325319 + 1.21411i
\(584\) 14.2584 0.590016
\(585\) 22.7750 20.9053i 0.941629 0.864328i
\(586\) 3.90516 0.161321
\(587\) 7.58008 + 28.2892i 0.312863 + 1.16762i 0.925962 + 0.377615i \(0.123256\pi\)
−0.613099 + 0.790006i \(0.710077\pi\)
\(588\) 0.468097 10.1820i 0.0193040 0.419900i
\(589\) 3.35059 1.93446i 0.138058 0.0797081i
\(590\) 20.7926 20.7926i 0.856017 0.856017i
\(591\) 31.5316 6.91411i 1.29704 0.284408i
\(592\) −4.67758 1.25335i −0.192247 0.0515126i
\(593\) −12.7368 12.7368i −0.523037 0.523037i 0.395450 0.918487i \(-0.370589\pi\)
−0.918487 + 0.395450i \(0.870589\pi\)
\(594\) 20.2315 8.21658i 0.830110 0.337130i
\(595\) −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 \(-0.896357\pi\)
0.947457 0.319882i \(-0.103643\pi\)
\(600\) 3.69846 + 4.05490i 0.150989 + 0.165541i
\(601\) −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
\(603\) −12.5542 + 2.15396i −0.511247 + 0.0877160i
\(604\) 2.37526 8.86458i 0.0966478 0.360695i
\(605\) 4.92677 18.3869i 0.200302 0.747535i
\(606\) 1.10535 3.47773i 0.0449019 0.141273i
\(607\) −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
\(609\) −9.25212 + 8.43882i −0.374915 + 0.341958i
\(610\) 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
\(615\) −21.1973 + 33.1043i −0.854758 + 1.33489i
\(616\) −10.6665 10.6665i −0.429766 0.429766i
\(617\) −5.23513 1.40275i −0.210758 0.0564725i 0.151895 0.988397i \(-0.451462\pi\)
−0.362653 + 0.931924i \(0.618129\pi\)
\(618\) 5.29128 + 24.1308i 0.212846 + 0.970682i
\(619\) 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
\(621\) 12.4339 + 9.67833i 0.498955 + 0.388378i
\(622\) 5.41696 + 20.2164i 0.217200 + 0.810603i
\(623\) 35.3382 1.41580
\(624\) −5.41818 3.10537i −0.216901 0.124314i
\(625\) 30.8029 1.23212
\(626\) 8.45523 + 31.5554i 0.337939 + 1.26121i
\(627\) −16.3276 0.750627i −0.652063 0.0299772i
\(628\) 12.2483 7.07156i 0.488761 0.282186i
\(629\) −11.8276 + 11.8276i −0.471596 + 0.471596i
\(630\) 19.6745 + 23.6681i 0.783850 + 0.942958i
\(631\) −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
\(633\) 12.5106 + 8.01074i 0.497250 + 0.318398i
\(634\) −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
\(639\) −31.0525 11.4647i −1.22842 0.453538i
\(640\) 1.42904 2.47517i 0.0564878 0.0978398i
\(641\) −21.3437 36.9683i −0.843024 1.46016i −0.887326 0.461143i \(-0.847440\pi\)
0.0443019 0.999018i \(-0.485894\pi\)
\(642\) −22.8545 7.26401i −0.901995 0.286688i
\(643\) −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
\(645\) −9.20130 2.92452i −0.362301 0.115153i
\(646\) 3.87815 + 6.71716i 0.152584 + 0.264283i
\(647\) 18.2351 31.5841i 0.716895 1.24170i −0.245329 0.969440i \(-0.578896\pi\)
0.962224 0.272258i \(-0.0877705\pi\)
\(648\) 5.09393 + 7.41970i 0.200108 + 0.291473i
\(649\) 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 \(0.0151782\pi\)
0.540711 + 0.841208i \(0.318155\pi\)
\(654\) 12.0515 + 7.71680i 0.471251 + 0.301751i
\(655\) −9.46410 9.46410i −0.369793 0.369793i
\(656\) 7.67015 + 2.05521i 0.299469 + 0.0802424i
\(657\) −32.8942 + 27.3438i −1.28332 + 1.06678i
\(658\) −3.43659 + 3.43659i −0.133972 + 0.133972i
\(659\) 11.4858 6.63132i 0.447422 0.258319i −0.259319 0.965792i \(-0.583498\pi\)
0.706741 + 0.707472i \(0.250165\pi\)
\(660\) 20.7814 + 0.955381i 0.808916 + 0.0371882i
\(661\) 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
\(663\) −18.6466 + 10.8444i −0.724173 + 0.421162i
\(664\) −3.66193 −0.142110
\(665\) −5.96256 22.2526i −0.231218 0.862918i
\(666\) 13.1948 6.07888i 0.511289 0.235552i
\(667\) −5.28941 + 3.05384i −0.204807 + 0.118245i
\(668\) −3.94925 + 3.94925i −0.152801 + 0.152801i
\(669\) 7.81866 + 35.6568i 0.302287 + 1.37857i
\(670\) −11.7216 3.14079i −0.452844 0.121339i
\(671\) 0.814821 + 0.814821i 0.0314558 + 0.0314558i
\(672\) 3.35262 5.23587i 0.129330 0.201978i
\(673\) −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 \(0.289606\pi\)
−0.613885 + 0.789396i \(0.710394\pi\)
\(678\) 23.0398 21.0145i 0.884839 0.807057i
\(679\) −14.3986 + 24.9390i −0.552566 + 0.957073i
\(680\) −4.93602 8.54944i −0.189288 0.327856i
\(681\) −2.63726 + 8.29751i −0.101060 + 0.317961i
\(682\) −1.87397 + 6.99374i −0.0717579 + 0.267804i
\(683\) 1.54160 5.75334i 0.0589878 0.220145i −0.930140 0.367206i \(-0.880315\pi\)
0.989128 + 0.147060i \(0.0469812\pi\)
\(684\) −1.13918 6.63963i −0.0435577 0.253873i
\(685\) 7.83113 + 13.5639i 0.299212 + 0.518250i
\(686\) −2.00152 + 3.46673i −0.0764182 + 0.132360i
\(687\) −16.3827 17.9616i −0.625040 0.685279i
\(688\) 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
\(693\) 45.0633 + 4.15215i 1.71181 + 0.157727i
\(694\) −10.5657 10.5657i −0.401069 0.401069i
\(695\) −40.5636 10.8690i −1.53866 0.412284i
\(696\) −3.40767 + 0.747218i −0.129167 + 0.0283232i
\(697\) 19.3944 19.3944i 0.734617 0.734617i
\(698\) −27.0512 + 15.6180i −1.02390 + 0.591151i
\(699\) −1.49497 + 32.5185i −0.0565448 + 1.22996i
\(700\) 2.94380 + 10.9864i 0.111265 + 0.415247i
\(701\) −0.672924 −0.0254160 −0.0127080 0.999919i \(-0.504045\pi\)
−0.0127080 + 0.999919i \(0.504045\pi\)
\(702\) 18.4551 3.22653i 0.696542 0.121777i
\(703\) −10.8743 −0.410131
\(704\) −1.08766 4.05922i −0.0409929 0.152987i
\(705\) 0.307809 6.69546i 0.0115928 0.252166i
\(706\) −8.95950 + 5.17277i −0.337195 + 0.194680i
\(707\) 5.34758 5.34758i 0.201116 0.201116i
\(708\) 17.4065 3.81682i 0.654176 0.143445i
\(709\) 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
\(711\) −4.72152 0.435043i −0.177071 0.0163154i
\(712\) 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
\(717\) 11.2600 + 12.3452i 0.420512 + 0.461039i
\(718\) −6.42720 + 11.1322i −0.239861 + 0.415452i
\(719\) 11.5566 + 20.0165i 0.430987 + 0.746491i 0.996959 0.0779336i \(-0.0248322\pi\)
−0.565972 + 0.824425i \(0.691499\pi\)
\(720\) 1.44992 + 8.45077i 0.0540354 + 0.314942i
\(721\) −13.2508 + 49.4528i −0.493487 + 1.84172i
\(722\) 3.61247 13.4819i 0.134442 0.501745i
\(723\) −4.44747 + 13.9929i −0.165403 + 0.520402i
\(724\) −6.90550 11.9607i −0.256641 0.444515i
\(725\) 3.19108 5.52711i 0.118514 0.205272i
\(726\) 8.52312 7.77390i 0.316322 0.288516i
\(727\) 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
\(732\) −0.256109 + 0.399971i −0.00946606 + 0.0147834i
\(733\) −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
\(735\) 6.23964 + 28.4558i 0.230153 + 1.04961i
\(736\) 2.14421 2.14421i 0.0790365 0.0790365i
\(737\) −15.4524 + 8.92147i −0.569198 + 0.328626i
\(738\) −21.6364 + 9.96794i −0.796448 + 0.366925i
\(739\) −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
\(741\) −13.5570 3.58666i −0.498030 0.131759i
\(742\) −25.9232 −0.951669
\(743\) −11.8573 44.2519i −0.435001 1.62345i −0.741064 0.671435i \(-0.765678\pi\)
0.306063 0.952011i \(-0.400988\pi\)
\(744\) −2.98105 0.137047i −0.109291 0.00502440i
\(745\) −25.5802 + 14.7687i −0.937185 + 0.541084i
\(746\) 14.1079 14.1079i 0.516526 0.516526i
\(747\) 8.44810 7.02262i 0.309100 0.256944i
\(748\) −14.0209 3.75688i −0.512653 0.137365i
\(749\) −35.1425 35.1425i −1.28408 1.28408i
\(750\) 7.63481 + 4.88871i 0.278784 + 0.178511i
\(751\) 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
\(756\) 2.30649 + 18.5086i 0.0838864 + 0.673153i
\(757\) 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
\(759\) 21.0350 + 6.68572i 0.763523 + 0.242676i
\(760\) 1.66109 6.19928i 0.0602542 0.224872i
\(761\) 4.45283 16.6182i 0.161415 0.602409i −0.837055 0.547118i \(-0.815725\pi\)
0.998470 0.0552906i \(-0.0176085\pi\)
\(762\) −34.1579 10.8567i −1.23741 0.393295i
\(763\) 14.8286 + 25.6839i 0.536832 + 0.929820i
\(764\) 11.3515 19.6614i 0.410683 0.711324i
\(765\) 27.7830 + 10.2576i 1.00450 + 0.370865i
\(766\) 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 +