Properties

Label 78.2.k.a.71.1
Level $78$
Weight $2$
Character 78.71
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 71.1
Root \(0.500000 + 1.74530i\) of defining polynomial
Character \(\chi\) \(=\) 78.71
Dual form 78.2.k.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.73022 - 0.0795432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.76293 + 2.76293i) q^{5} +(1.69185 - 0.370982i) q^{6} +(-0.657464 + 2.45369i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.98735 + 0.275255i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.73022 - 0.0795432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.76293 + 2.76293i) q^{5} +(1.69185 - 0.370982i) q^{6} +(-0.657464 + 2.45369i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.98735 + 0.275255i) q^{9} +(-3.38389 - 1.95369i) q^{10} +(0.150860 + 0.563016i) q^{11} +(-1.53819 + 0.796225i) q^{12} +(-1.20856 - 3.39697i) q^{13} -2.54025i q^{14} +(-4.56072 - 5.00027i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.547000 - 0.947432i) q^{17} +(-2.95680 + 0.507306i) q^{18} +(1.32717 + 0.355613i) q^{19} +(3.77424 + 1.01130i) q^{20} +(1.33273 - 4.19313i) q^{21} +(-0.291439 - 0.504787i) q^{22} +(0.876460 - 1.51807i) q^{23} +(1.27970 - 1.16721i) q^{24} +10.2676i q^{25} +(2.04658 + 2.96842i) q^{26} +(-5.14688 - 0.713876i) q^{27} +(0.657464 + 2.45369i) q^{28} +(-5.12973 - 2.96165i) q^{29} +(5.69948 + 3.64948i) q^{30} +(6.49983 - 6.49983i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-0.216237 - 0.986144i) q^{33} +(0.773575 + 0.773575i) q^{34} +(-8.59591 + 4.96285i) q^{35} +(2.72474 - 1.25529i) q^{36} +(-2.98942 + 0.801012i) q^{37} -1.37398 q^{38} +(1.82088 + 5.97364i) q^{39} -3.90738 q^{40} +(5.11781 - 1.37131i) q^{41} +(-0.202059 + 4.39519i) q^{42} +(3.26299 - 1.88389i) q^{43} +(0.412157 + 0.412157i) q^{44} +(7.49333 + 9.01435i) q^{45} +(-0.453689 + 1.69319i) q^{46} +(5.51114 - 5.51114i) q^{47} +(-0.933998 + 1.45865i) q^{48} +(0.473846 + 0.273575i) q^{49} +(-2.65745 - 9.91775i) q^{50} +(0.871071 + 1.68278i) q^{51} +(-2.74513 - 2.33758i) q^{52} +3.04435i q^{53} +(5.15627 - 0.642559i) q^{54} +(-1.13876 + 1.97239i) q^{55} +(-1.27012 - 2.19992i) q^{56} +(-2.26801 - 0.720857i) q^{57} +(5.72147 + 1.53306i) q^{58} +(-8.19009 - 2.19453i) q^{59} +(-6.44983 - 2.05000i) q^{60} +(-4.67266 - 8.09329i) q^{61} +(-4.59607 + 7.96063i) q^{62} +(-2.63946 + 7.14905i) q^{63} -1.00000i q^{64} +(6.04642 - 12.7248i) q^{65} +(0.464102 + 0.896575i) q^{66} +(1.70856 + 6.37644i) q^{67} +(-0.947432 - 0.547000i) q^{68} +(-1.63722 + 2.55689i) q^{69} +(7.01853 - 7.01853i) q^{70} +(-0.220122 + 0.821505i) q^{71} +(-2.30701 + 1.91774i) q^{72} +(-5.18078 - 5.18078i) q^{73} +(2.68024 - 1.54744i) q^{74} +(0.816719 - 17.7653i) q^{75} +(1.32717 - 0.355613i) q^{76} -1.48065 q^{77} +(-3.30492 - 5.29882i) q^{78} -13.1089 q^{79} +(3.77424 - 1.01130i) q^{80} +(8.84847 + 1.64456i) q^{81} +(-4.58850 + 2.64917i) q^{82} +(5.15394 + 5.15394i) q^{83} +(-0.942385 - 4.29773i) q^{84} +(1.10637 - 4.12902i) q^{85} +(-2.66422 + 2.66422i) q^{86} +(8.63999 + 5.53235i) q^{87} +(-0.504787 - 0.291439i) q^{88} +(2.50797 + 9.35988i) q^{89} +(-9.57108 - 6.76778i) q^{90} +(9.12969 - 0.732051i) q^{91} -1.75292i q^{92} +(-11.7632 + 10.7291i) q^{93} +(-3.89697 + 6.74974i) q^{94} +(2.68434 + 4.64941i) q^{95} +(0.524648 - 1.65068i) q^{96} +(-0.592450 - 0.158747i) q^{97} +(-0.528506 - 0.141613i) q^{98} +(0.295697 + 1.72345i) 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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).

\(n\) \(53\) \(67\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −1.73022 0.0795432i −0.998945 0.0459243i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 2.76293 + 2.76293i 1.23562 + 1.23562i 0.961773 + 0.273849i \(0.0882968\pi\)
0.273849 + 0.961773i \(0.411703\pi\)
\(6\) 1.69185 0.370982i 0.690697 0.151453i
\(7\) −0.657464 + 2.45369i −0.248498 + 0.927407i 0.723095 + 0.690749i \(0.242719\pi\)
−0.971593 + 0.236659i \(0.923948\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.98735 + 0.275255i 0.995782 + 0.0917517i
\(10\) −3.38389 1.95369i −1.07008 0.617811i
\(11\) 0.150860 + 0.563016i 0.0454859 + 0.169756i 0.984932 0.172940i \(-0.0553267\pi\)
−0.939446 + 0.342696i \(0.888660\pi\)
\(12\) −1.53819 + 0.796225i −0.444037 + 0.229850i
\(13\) −1.20856 3.39697i −0.335195 0.942149i
\(14\) 2.54025i 0.678909i
\(15\) −4.56072 5.00027i −1.17757 1.29106i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.547000 0.947432i −0.132667 0.229786i 0.792037 0.610473i \(-0.209021\pi\)
−0.924704 + 0.380687i \(0.875687\pi\)
\(18\) −2.95680 + 0.507306i −0.696923 + 0.119573i
\(19\) 1.32717 + 0.355613i 0.304473 + 0.0815832i 0.407821 0.913062i \(-0.366289\pi\)
−0.103348 + 0.994645i \(0.532956\pi\)
\(20\) 3.77424 + 1.01130i 0.843945 + 0.226134i
\(21\) 1.33273 4.19313i 0.290826 0.915017i
\(22\) −0.291439 0.504787i −0.0621349 0.107621i
\(23\) 0.876460 1.51807i 0.182755 0.316540i −0.760063 0.649849i \(-0.774832\pi\)
0.942818 + 0.333309i \(0.108165\pi\)
\(24\) 1.27970 1.16721i 0.261217 0.238255i
\(25\) 10.2676i 2.05352i
\(26\) 2.04658 + 2.96842i 0.401367 + 0.582155i
\(27\) −5.14688 0.713876i −0.990518 0.137386i
\(28\) 0.657464 + 2.45369i 0.124249 + 0.463704i
\(29\) −5.12973 2.96165i −0.952566 0.549965i −0.0586892 0.998276i \(-0.518692\pi\)
−0.893877 + 0.448312i \(0.852025\pi\)
\(30\) 5.69948 + 3.64948i 1.04058 + 0.666302i
\(31\) 6.49983 6.49983i 1.16740 1.16740i 0.184588 0.982816i \(-0.440905\pi\)
0.982816 0.184588i \(-0.0590950\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −0.216237 0.986144i −0.0376420 0.171666i
\(34\) 0.773575 + 0.773575i 0.132667 + 0.132667i
\(35\) −8.59591 + 4.96285i −1.45297 + 0.838875i
\(36\) 2.72474 1.25529i 0.454124 0.209216i
\(37\) −2.98942 + 0.801012i −0.491457 + 0.131686i −0.496032 0.868304i \(-0.665210\pi\)
0.00457534 + 0.999990i \(0.498544\pi\)
\(38\) −1.37398 −0.222890
\(39\) 1.82088 + 5.97364i 0.291573 + 0.956548i
\(40\) −3.90738 −0.617811
\(41\) 5.11781 1.37131i 0.799268 0.214163i 0.164005 0.986459i \(-0.447559\pi\)
0.635262 + 0.772296i \(0.280892\pi\)
\(42\) −0.202059 + 4.39519i −0.0311784 + 0.678193i
\(43\) 3.26299 1.88389i 0.497602 0.287290i −0.230121 0.973162i \(-0.573912\pi\)
0.727723 + 0.685872i \(0.240579\pi\)
\(44\) 0.412157 + 0.412157i 0.0621349 + 0.0621349i
\(45\) 7.49333 + 9.01435i 1.11704 + 1.34378i
\(46\) −0.453689 + 1.69319i −0.0668928 + 0.249647i
\(47\) 5.51114 5.51114i 0.803883 0.803883i −0.179817 0.983700i \(-0.557551\pi\)
0.983700 + 0.179817i \(0.0575506\pi\)
\(48\) −0.933998 + 1.45865i −0.134811 + 0.210537i
\(49\) 0.473846 + 0.273575i 0.0676922 + 0.0390821i
\(50\) −2.65745 9.91775i −0.375821 1.40258i
\(51\) 0.871071 + 1.68278i 0.121974 + 0.235636i
\(52\) −2.74513 2.33758i −0.380681 0.324164i
\(53\) 3.04435i 0.418173i 0.977897 + 0.209087i \(0.0670490\pi\)
−0.977897 + 0.209087i \(0.932951\pi\)
\(54\) 5.15627 0.642559i 0.701679 0.0874413i
\(55\) −1.13876 + 1.97239i −0.153551 + 0.265957i
\(56\) −1.27012 2.19992i −0.169727 0.293976i
\(57\) −2.26801 0.720857i −0.300405 0.0954799i
\(58\) 5.72147 + 1.53306i 0.751265 + 0.201301i
\(59\) −8.19009 2.19453i −1.06626 0.285703i −0.317304 0.948324i \(-0.602777\pi\)
−0.748955 + 0.662621i \(0.769444\pi\)
\(60\) −6.44983 2.05000i −0.832670 0.264653i
\(61\) −4.67266 8.09329i −0.598273 1.03624i −0.993076 0.117474i \(-0.962520\pi\)
0.394803 0.918766i \(-0.370813\pi\)
\(62\) −4.59607 + 7.96063i −0.583702 + 1.01100i
\(63\) −2.63946 + 7.14905i −0.332541 + 0.900695i
\(64\) 1.00000i 0.125000i
\(65\) 6.04642 12.7248i 0.749966 1.57831i
\(66\) 0.464102 + 0.896575i 0.0571270 + 0.110361i
\(67\) 1.70856 + 6.37644i 0.208734 + 0.779006i 0.988279 + 0.152659i \(0.0487838\pi\)
−0.779545 + 0.626346i \(0.784550\pi\)
\(68\) −0.947432 0.547000i −0.114893 0.0663335i
\(69\) −1.63722 + 2.55689i −0.197099 + 0.307813i
\(70\) 7.01853 7.01853i 0.838875 0.838875i
\(71\) −0.220122 + 0.821505i −0.0261236 + 0.0974947i −0.977757 0.209742i \(-0.932738\pi\)
0.951633 + 0.307237i \(0.0994043\pi\)
\(72\) −2.30701 + 1.91774i −0.271883 + 0.226008i
\(73\) −5.18078 5.18078i −0.606365 0.606365i 0.335629 0.941994i \(-0.391051\pi\)
−0.941994 + 0.335629i \(0.891051\pi\)
\(74\) 2.68024 1.54744i 0.311571 0.179886i
\(75\) 0.816719 17.7653i 0.0943066 2.05135i
\(76\) 1.32717 0.355613i 0.152236 0.0407916i
\(77\) −1.48065 −0.168736
\(78\) −3.30492 5.29882i −0.374209 0.599973i
\(79\) −13.1089 −1.47486 −0.737431 0.675422i \(-0.763961\pi\)
−0.737431 + 0.675422i \(0.763961\pi\)
\(80\) 3.77424 1.01130i 0.421973 0.113067i
\(81\) 8.84847 + 1.64456i 0.983163 + 0.182729i
\(82\) −4.58850 + 2.64917i −0.506715 + 0.292552i
\(83\) 5.15394 + 5.15394i 0.565719 + 0.565719i 0.930926 0.365208i \(-0.119002\pi\)
−0.365208 + 0.930926i \(0.619002\pi\)
\(84\) −0.942385 4.29773i −0.102823 0.468920i
\(85\) 1.10637 4.12902i 0.120002 0.447855i
\(86\) −2.66422 + 2.66422i −0.287290 + 0.287290i
\(87\) 8.63999 + 5.53235i 0.926305 + 0.593130i
\(88\) −0.504787 0.291439i −0.0538104 0.0310675i
\(89\) 2.50797 + 9.35988i 0.265844 + 0.992145i 0.961731 + 0.273994i \(0.0883448\pi\)
−0.695887 + 0.718151i \(0.744989\pi\)
\(90\) −9.57108 6.76778i −1.00888 0.713386i
\(91\) 9.12969 0.732051i 0.957051 0.0767398i
\(92\) 1.75292i 0.182755i
\(93\) −11.7632 + 10.7291i −1.21978 + 1.11256i
\(94\) −3.89697 + 6.74974i −0.401941 + 0.696183i
\(95\) 2.68434 + 4.64941i 0.275407 + 0.477019i
\(96\) 0.524648 1.65068i 0.0535466 0.168472i
\(97\) −0.592450 0.158747i −0.0601542 0.0161183i 0.228616 0.973517i \(-0.426580\pi\)
−0.288771 + 0.957398i \(0.593247\pi\)
\(98\) −0.528506 0.141613i −0.0533872 0.0143051i
\(99\) 0.295697 + 1.72345i 0.0297187 + 0.173213i
\(100\) 5.13380 + 8.89201i 0.513380 + 0.889201i
\(101\) −2.91789 + 5.05394i −0.290341 + 0.502886i −0.973890 0.227019i \(-0.927102\pi\)
0.683549 + 0.729904i \(0.260435\pi\)
\(102\) −1.27692 1.39999i −0.126434 0.138620i
\(103\) 2.07313i 0.204272i 0.994770 + 0.102136i \(0.0325677\pi\)
−0.994770 + 0.102136i \(0.967432\pi\)
\(104\) 3.25660 + 1.54744i 0.319336 + 0.151739i
\(105\) 15.2676 7.90310i 1.48997 0.771263i
\(106\) −0.787935 2.94061i −0.0765310 0.285618i
\(107\) −2.99520 1.72928i −0.289557 0.167176i 0.348185 0.937426i \(-0.386798\pi\)
−0.637742 + 0.770250i \(0.720131\pi\)
\(108\) −4.81427 + 1.95521i −0.463253 + 0.188140i
\(109\) −10.9901 + 10.9901i −1.05266 + 1.05266i −0.0541251 + 0.998534i \(0.517237\pi\)
−0.998534 + 0.0541251i \(0.982763\pi\)
\(110\) 0.589466 2.19992i 0.0562034 0.209754i
\(111\) 5.23607 1.14814i 0.496986 0.108977i
\(112\) 1.79623 + 1.79623i 0.169727 + 0.169727i
\(113\) 9.43719 5.44856i 0.887776 0.512558i 0.0145614 0.999894i \(-0.495365\pi\)
0.873214 + 0.487336i \(0.162031\pi\)
\(114\) 2.37730 + 0.109291i 0.222654 + 0.0102360i
\(115\) 6.61594 1.77274i 0.616940 0.165308i
\(116\) −5.92330 −0.549965
\(117\) −2.67536 10.4806i −0.247337 0.968930i
\(118\) 8.47900 0.780556
\(119\) 2.68434 0.719266i 0.246073 0.0659350i
\(120\) 6.76064 + 0.310806i 0.617159 + 0.0283725i
\(121\) 9.23205 5.33013i 0.839277 0.484557i
\(122\) 6.60814 + 6.60814i 0.598273 + 0.598273i
\(123\) −8.96403 + 1.96559i −0.808260 + 0.177231i
\(124\) 2.37910 8.87893i 0.213650 0.797352i
\(125\) −14.5541 + 14.5541i −1.30175 + 1.30175i
\(126\) 0.699216 7.58859i 0.0622911 0.676046i
\(127\) 8.06551 + 4.65662i 0.715698 + 0.413209i 0.813167 0.582030i \(-0.197741\pi\)
−0.0974690 + 0.995239i \(0.531075\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −5.79555 + 3.00000i −0.510270 + 0.264135i
\(130\) −2.54698 + 13.8561i −0.223385 + 1.21526i
\(131\) 0.917828i 0.0801910i 0.999196 + 0.0400955i \(0.0127662\pi\)
−0.999196 + 0.0400955i \(0.987234\pi\)
\(132\) −0.680339 0.745907i −0.0592159 0.0649229i
\(133\) −1.74513 + 3.02265i −0.151322 + 0.262097i
\(134\) −3.30069 5.71696i −0.285136 0.493870i
\(135\) −12.2481 16.1929i −1.05415 1.39366i
\(136\) 1.05672 + 0.283148i 0.0906133 + 0.0242797i
\(137\) −8.32493 2.23066i −0.711247 0.190578i −0.114984 0.993367i \(-0.536682\pi\)
−0.596263 + 0.802789i \(0.703348\pi\)
\(138\) 0.919666 2.89351i 0.0782871 0.246312i
\(139\) −1.65662 2.86936i −0.140513 0.243376i 0.787177 0.616727i \(-0.211542\pi\)
−0.927690 + 0.373352i \(0.878209\pi\)
\(140\) −4.96285 + 8.59591i −0.419438 + 0.726487i
\(141\) −9.97388 + 9.09713i −0.839952 + 0.766117i
\(142\) 0.850484i 0.0713711i
\(143\) 1.73022 1.19291i 0.144689 0.0997557i
\(144\) 1.73205 2.44949i 0.144338 0.204124i
\(145\) −5.99026 22.3559i −0.497464 1.85656i
\(146\) 6.34514 + 3.66337i 0.525127 + 0.303182i
\(147\) −0.798098 0.511037i −0.0658260 0.0421496i
\(148\) −2.18840 + 2.18840i −0.179886 + 0.179886i
\(149\) −2.03304 + 7.58742i −0.166553 + 0.621585i 0.831284 + 0.555848i \(0.187606\pi\)
−0.997837 + 0.0657369i \(0.979060\pi\)
\(150\) 3.80910 + 17.3713i 0.311011 + 1.41836i
\(151\) 10.2600 + 10.2600i 0.834946 + 0.834946i 0.988189 0.153243i \(-0.0489717\pi\)
−0.153243 + 0.988189i \(0.548972\pi\)
\(152\) −1.18990 + 0.686992i −0.0965140 + 0.0557224i
\(153\) −1.37329 2.98087i −0.111024 0.240989i
\(154\) 1.43020 0.383221i 0.115249 0.0308808i
\(155\) 35.9172 2.88494
\(156\) 4.56375 + 4.26289i 0.365392 + 0.341304i
\(157\) −6.71547 −0.535953 −0.267976 0.963425i \(-0.586355\pi\)
−0.267976 + 0.963425i \(0.586355\pi\)
\(158\) 12.6622 3.39282i 1.00735 0.269918i
\(159\) 0.242157 5.26740i 0.0192043 0.417732i
\(160\) −3.38389 + 1.95369i −0.267520 + 0.154453i
\(161\) 3.14864 + 3.14864i 0.248148 + 0.248148i
\(162\) −8.97261 + 0.701625i −0.704955 + 0.0551249i
\(163\) −0.407550 + 1.52100i −0.0319217 + 0.119134i −0.980048 0.198760i \(-0.936309\pi\)
0.948127 + 0.317893i \(0.102975\pi\)
\(164\) 3.74650 3.74650i 0.292552 0.292552i
\(165\) 2.12720 3.32210i 0.165602 0.258625i
\(166\) −6.31226 3.64439i −0.489927 0.282859i
\(167\) −6.32673 23.6117i −0.489577 1.82713i −0.558499 0.829505i \(-0.688623\pi\)
0.0689223 0.997622i \(-0.478044\pi\)
\(168\) 2.02261 + 3.90738i 0.156048 + 0.301461i
\(169\) −10.0788 + 8.21088i −0.775289 + 0.631606i
\(170\) 4.27467i 0.327852i
\(171\) 3.86682 + 1.42765i 0.295703 + 0.109175i
\(172\) 1.88389 3.26299i 0.143645 0.248801i
\(173\) −10.3837 17.9850i −0.789456 1.36738i −0.926301 0.376785i \(-0.877029\pi\)
0.136845 0.990593i \(-0.456304\pi\)
\(174\) −9.77747 3.10764i −0.741228 0.235590i
\(175\) −25.1935 6.75058i −1.90445 0.510296i
\(176\) 0.563016 + 0.150860i 0.0424389 + 0.0113715i
\(177\) 13.9961 + 4.44849i 1.05201 + 0.334369i
\(178\) −4.84503 8.39184i −0.363150 0.628995i
\(179\) −7.00018 + 12.1247i −0.523218 + 0.906241i 0.476416 + 0.879220i \(0.341935\pi\)
−0.999635 + 0.0270211i \(0.991398\pi\)
\(180\) 10.9966 + 4.05999i 0.819637 + 0.302614i
\(181\) 25.5405i 1.89841i −0.314653 0.949207i \(-0.601888\pi\)
0.314653 0.949207i \(-0.398112\pi\)
\(182\) −8.62913 + 3.07004i −0.639634 + 0.227567i
\(183\) 7.44098 + 14.3749i 0.550053 + 1.06262i
\(184\) 0.453689 + 1.69319i 0.0334464 + 0.124824i
\(185\) −10.4727 6.04642i −0.769968 0.444541i
\(186\) 8.58545 13.4081i 0.629516 0.983129i
\(187\) 0.450899 0.450899i 0.0329730 0.0329730i
\(188\) 2.01722 7.52836i 0.147121 0.549062i
\(189\) 5.13552 12.1595i 0.373554 0.884473i
\(190\) −3.79623 3.79623i −0.275407 0.275407i
\(191\) −20.4783 + 11.8231i −1.48176 + 0.855493i −0.999786 0.0206939i \(-0.993412\pi\)
−0.481972 + 0.876187i \(0.660079\pi\)
\(192\) −0.0795432 + 1.73022i −0.00574054 + 0.124868i
\(193\) 10.2375 2.74313i 0.736912 0.197455i 0.129207 0.991618i \(-0.458757\pi\)
0.607705 + 0.794163i \(0.292090\pi\)
\(194\) 0.613350 0.0440360
\(195\) −11.4738 + 21.5357i −0.821658 + 1.54221i
\(196\) 0.547150 0.0390821
\(197\) −3.34959 + 0.897520i −0.238649 + 0.0639457i −0.376161 0.926554i \(-0.622756\pi\)
0.137512 + 0.990500i \(0.456089\pi\)
\(198\) −0.731683 1.58819i −0.0519984 0.112868i
\(199\) −2.67432 + 1.54402i −0.189577 + 0.109453i −0.591785 0.806096i \(-0.701576\pi\)
0.402207 + 0.915549i \(0.368243\pi\)
\(200\) −7.26029 7.26029i −0.513380 0.513380i
\(201\) −2.44899 11.1686i −0.172738 0.787770i
\(202\) 1.51041 5.63694i 0.106272 0.396613i
\(203\) 10.6396 10.6396i 0.746752 0.746752i
\(204\) 1.59576 + 1.02179i 0.111725 + 0.0715399i
\(205\) 17.9290 + 10.3513i 1.25222 + 0.722968i
\(206\) −0.536566 2.00249i −0.0373843 0.139520i
\(207\) 3.03615 4.29376i 0.211027 0.298437i
\(208\) −3.54614 0.651838i −0.245881 0.0451969i
\(209\) 0.800864i 0.0553969i
\(210\) −12.7019 + 11.5854i −0.876515 + 0.799465i
\(211\) 2.47900 4.29376i 0.170662 0.295595i −0.767990 0.640462i \(-0.778743\pi\)
0.938651 + 0.344867i \(0.112076\pi\)
\(212\) 1.52217 + 2.63648i 0.104543 + 0.181074i
\(213\) 0.446205 1.40388i 0.0305734 0.0961921i
\(214\) 3.34071 + 0.895141i 0.228366 + 0.0611906i
\(215\) 14.2205 + 3.81037i 0.969829 + 0.259865i
\(216\) 4.14418 3.13461i 0.281976 0.213283i
\(217\) 11.6752 + 20.2220i 0.792561 + 1.37276i
\(218\) 7.77116 13.4601i 0.526330 0.911630i
\(219\) 8.55181 + 9.37601i 0.577878 + 0.633572i
\(220\) 2.27752i 0.153551i
\(221\) −2.55731 + 3.00317i −0.172023 + 0.202015i
\(222\) −4.76050 + 2.46422i −0.319504 + 0.165387i
\(223\) 4.93415 + 18.4145i 0.330415 + 1.23313i 0.908755 + 0.417330i \(0.137034\pi\)
−0.578340 + 0.815796i \(0.696299\pi\)
\(224\) −2.19992 1.27012i −0.146988 0.0848637i
\(225\) −2.82621 + 30.6729i −0.188414 + 2.04486i
\(226\) −7.70543 + 7.70543i −0.512558 + 0.512558i
\(227\) 1.38733 5.17758i 0.0920803 0.343648i −0.904480 0.426515i \(-0.859741\pi\)
0.996561 + 0.0828671i \(0.0264077\pi\)
\(228\) −2.32458 + 0.509723i −0.153949 + 0.0337572i
\(229\) 2.78436 + 2.78436i 0.183996 + 0.183996i 0.793094 0.609099i \(-0.208469\pi\)
−0.609099 + 0.793094i \(0.708469\pi\)
\(230\) −5.93169 + 3.42466i −0.391124 + 0.225816i
\(231\) 2.56186 + 0.117776i 0.168558 + 0.00774908i
\(232\) 5.72147 1.53306i 0.375633 0.100650i
\(233\) 3.83663 0.251346 0.125673 0.992072i \(-0.459891\pi\)
0.125673 + 0.992072i \(0.459891\pi\)
\(234\) 5.29677 + 9.43102i 0.346261 + 0.616525i
\(235\) 30.4538 1.98659
\(236\) −8.19009 + 2.19453i −0.533129 + 0.142852i
\(237\) 22.6813 + 1.04272i 1.47331 + 0.0677320i
\(238\) −2.40671 + 1.38951i −0.156004 + 0.0900689i
\(239\) 0.751524 + 0.751524i 0.0486121 + 0.0486121i 0.730995 0.682383i \(-0.239056\pi\)
−0.682383 + 0.730995i \(0.739056\pi\)
\(240\) −6.61072 + 1.44957i −0.426720 + 0.0935691i
\(241\) −7.23751 + 27.0107i −0.466209 + 1.73991i 0.186642 + 0.982428i \(0.440240\pi\)
−0.652851 + 0.757487i \(0.726427\pi\)
\(242\) −7.53794 + 7.53794i −0.484557 + 0.484557i
\(243\) −15.1790 3.54930i −0.973734 0.227688i
\(244\) −8.09329 4.67266i −0.518120 0.299137i
\(245\) 0.553335 + 2.06507i 0.0353513 + 0.131933i
\(246\) 8.14986 4.21868i 0.519616 0.268973i
\(247\) −0.395956 4.93812i −0.0251941 0.314205i
\(248\) 9.19215i 0.583702i
\(249\) −8.50751 9.32743i −0.539141 0.591102i
\(250\) 10.2913 17.8250i 0.650877 1.12735i
\(251\) −7.56320 13.0998i −0.477385 0.826855i 0.522279 0.852775i \(-0.325082\pi\)
−0.999664 + 0.0259196i \(0.991749\pi\)
\(252\) 1.28868 + 7.51099i 0.0811793 + 0.473148i
\(253\) 0.986923 + 0.264445i 0.0620473 + 0.0166255i
\(254\) −8.99591 2.41045i −0.564453 0.151245i
\(255\) −2.24270 + 7.05612i −0.140443 + 0.441871i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −0.178601 + 0.309345i −0.0111408 + 0.0192964i −0.871542 0.490321i \(-0.836880\pi\)
0.860401 + 0.509617i \(0.170213\pi\)
\(258\) 4.82162 4.39778i 0.300181 0.273794i
\(259\) 7.86174i 0.488505i
\(260\) −1.12603 14.0432i −0.0698336 0.870921i
\(261\) −14.5091 10.2595i −0.898088 0.635044i
\(262\) −0.237551 0.886554i −0.0146760 0.0547715i
\(263\) 1.86002 + 1.07389i 0.114694 + 0.0662186i 0.556250 0.831015i \(-0.312240\pi\)
−0.441556 + 0.897234i \(0.645573\pi\)
\(264\) 0.850212 + 0.544406i 0.0523269 + 0.0335059i
\(265\) −8.41133 + 8.41133i −0.516704 + 0.516704i
\(266\) 0.903345 3.37133i 0.0553876 0.206709i
\(267\) −3.59484 16.3942i −0.220000 1.00331i
\(268\) 4.66788 + 4.66788i 0.285136 + 0.285136i
\(269\) 21.2380 12.2618i 1.29490 0.747612i 0.315384 0.948964i \(-0.397867\pi\)
0.979519 + 0.201352i \(0.0645335\pi\)
\(270\) 16.0218 + 12.4711i 0.975055 + 0.758966i
\(271\) −21.1790 + 5.67488i −1.28653 + 0.344725i −0.836341 0.548209i \(-0.815310\pi\)
−0.450189 + 0.892934i \(0.648643\pi\)
\(272\) −1.09400 −0.0663335
\(273\) −15.8546 + 0.540407i −0.959566 + 0.0327069i
\(274\) 8.61860 0.520669
\(275\) −5.78083 + 1.54897i −0.348597 + 0.0934063i
\(276\) −0.139433 + 3.03294i −0.00839288 + 0.182562i
\(277\) −16.1517 + 9.32517i −0.970460 + 0.560295i −0.899376 0.437175i \(-0.855979\pi\)
−0.0710833 + 0.997470i \(0.522646\pi\)
\(278\) 2.34282 + 2.34282i 0.140513 + 0.140513i
\(279\) 21.2063 17.6281i 1.26959 1.05537i
\(280\) 2.56896 9.58749i 0.153525 0.572962i
\(281\) −11.2782 + 11.2782i −0.672801 + 0.672801i −0.958361 0.285560i \(-0.907820\pi\)
0.285560 + 0.958361i \(0.407820\pi\)
\(282\) 7.27952 11.3686i 0.433489 0.676989i
\(283\) 4.08342 + 2.35756i 0.242734 + 0.140143i 0.616433 0.787408i \(-0.288577\pi\)
−0.373699 + 0.927550i \(0.621911\pi\)
\(284\) 0.220122 + 0.821505i 0.0130618 + 0.0487473i
\(285\) −4.27467 8.25803i −0.253210 0.489164i
\(286\) −1.36252 + 1.60007i −0.0805676 + 0.0946143i
\(287\) 13.4591i 0.794466i
\(288\) −1.03906 + 2.81431i −0.0612271 + 0.165835i
\(289\) 7.90158 13.6859i 0.464799 0.805055i
\(290\) 11.5723 + 20.0438i 0.679548 + 1.17701i
\(291\) 1.01244 + 0.321793i 0.0593505 + 0.0188638i
\(292\) −7.07708 1.89630i −0.414155 0.110972i
\(293\) 20.6276 + 5.52716i 1.20508 + 0.322900i 0.804830 0.593506i \(-0.202257\pi\)
0.400250 + 0.916406i \(0.368923\pi\)
\(294\) 0.903170 + 0.287061i 0.0526739 + 0.0167417i
\(295\) −16.5653 28.6920i −0.964471 1.67051i
\(296\) 1.54744 2.68024i 0.0899429 0.155786i
\(297\) −0.374533 3.00547i −0.0217326 0.174395i
\(298\) 7.85507i 0.455032i
\(299\) −6.21610 1.14262i −0.359486 0.0660795i
\(300\) −8.17533 15.7935i −0.472003 0.911839i
\(301\) 2.47718 + 9.24496i 0.142782 + 0.532870i
\(302\) −12.5659 7.25490i −0.723084 0.417473i
\(303\) 5.45061 8.51234i 0.313130 0.489021i
\(304\) 0.971553 0.971553i 0.0557224 0.0557224i
\(305\) 9.45097 35.2715i 0.541161 2.01964i
\(306\) 2.09801 + 2.52387i 0.119935 + 0.144280i
\(307\) −16.2259 16.2259i −0.926063 0.926063i 0.0713857 0.997449i \(-0.477258\pi\)
−0.997449 + 0.0713857i \(0.977258\pi\)
\(308\) −1.28228 + 0.740326i −0.0730648 + 0.0421840i
\(309\) 0.164904 3.58698i 0.00938104 0.204056i
\(310\) −34.6933 + 9.29605i −1.97045 + 0.527980i
\(311\) −32.8464 −1.86255 −0.931275 0.364317i \(-0.881303\pi\)
−0.931275 + 0.364317i \(0.881303\pi\)
\(312\) −5.51156 2.93645i −0.312030 0.166244i
\(313\) 11.0629 0.625311 0.312655 0.949867i \(-0.398782\pi\)
0.312655 + 0.949867i \(0.398782\pi\)
\(314\) 6.48665 1.73809i 0.366063 0.0980862i
\(315\) −27.0450 + 12.4597i −1.52381 + 0.702024i
\(316\) −11.3526 + 6.55443i −0.638634 + 0.368716i
\(317\) 17.5500 + 17.5500i 0.985704 + 0.985704i 0.999899 0.0141948i \(-0.00451851\pi\)
−0.0141948 + 0.999899i \(0.504519\pi\)
\(318\) 1.12940 + 5.15059i 0.0633334 + 0.288831i
\(319\) 0.893587 3.33491i 0.0500313 0.186719i
\(320\) 2.76293 2.76293i 0.154453 0.154453i
\(321\) 5.04481 + 3.23029i 0.281574 + 0.180297i
\(322\) −3.85628 2.22643i −0.214902 0.124074i
\(323\) −0.389041 1.45192i −0.0216468 0.0807870i
\(324\) 8.48528 3.00000i 0.471405 0.166667i
\(325\) 34.8787 12.4090i 1.93472 0.688329i
\(326\) 1.57465i 0.0872118i
\(327\) 19.8895 18.1411i 1.09989 1.00321i
\(328\) −2.64917 + 4.58850i −0.146276 + 0.253358i
\(329\) 9.89925 + 17.1460i 0.545763 + 0.945290i
\(330\) −1.19490 + 3.75946i −0.0657769 + 0.206952i
\(331\) 4.46639 + 1.19677i 0.245495 + 0.0657803i 0.379468 0.925205i \(-0.376107\pi\)
−0.133973 + 0.990985i \(0.542774\pi\)
\(332\) 7.04041 + 1.88647i 0.386393 + 0.103534i
\(333\) −9.15090 + 1.57005i −0.501466 + 0.0860380i
\(334\) 12.2223 + 21.1697i 0.668775 + 1.15835i
\(335\) −12.8970 + 22.3383i −0.704640 + 1.22047i
\(336\) −2.96499 3.25075i −0.161754 0.177343i
\(337\) 7.78436i 0.424041i −0.977265 0.212021i \(-0.931996\pi\)
0.977265 0.212021i \(-0.0680044\pi\)
\(338\) 7.61020 10.5397i 0.413940 0.573283i
\(339\) −16.7618 + 8.67656i −0.910378 + 0.471246i
\(340\) −1.10637 4.12902i −0.0600012 0.223927i
\(341\) 4.64007 + 2.67895i 0.251274 + 0.145073i
\(342\) −4.10456 0.378196i −0.221949 0.0204505i
\(343\) −13.5564 + 13.5564i −0.731976 + 0.731976i
\(344\) −0.975173 + 3.63939i −0.0525778 + 0.196223i
\(345\) −11.5881 + 2.54098i −0.623880 + 0.136802i
\(346\) 14.6847 + 14.6847i 0.789456 + 0.789456i
\(347\) −9.39077 + 5.42177i −0.504123 + 0.291056i −0.730415 0.683004i \(-0.760673\pi\)
0.226292 + 0.974060i \(0.427340\pi\)
\(348\) 10.2486 + 0.471158i 0.549384 + 0.0252567i
\(349\) 14.8487 3.97869i 0.794830 0.212974i 0.161517 0.986870i \(-0.448361\pi\)
0.633313 + 0.773896i \(0.281695\pi\)
\(350\) 26.0822 1.39415
\(351\) 3.79531 + 18.3465i 0.202579 + 0.979266i
\(352\) −0.582877 −0.0310675
\(353\) 1.80378 0.483321i 0.0960054 0.0257246i −0.210497 0.977595i \(-0.567508\pi\)
0.306502 + 0.951870i \(0.400841\pi\)
\(354\) −14.6706 0.674447i −0.779732 0.0358465i
\(355\) −2.87795 + 1.66158i −0.152745 + 0.0881876i
\(356\) 6.85191 + 6.85191i 0.363150 + 0.363150i
\(357\) −4.70171 + 1.03097i −0.248841 + 0.0545647i
\(358\) 3.62356 13.5233i 0.191511 0.714730i
\(359\) 12.1336 12.1336i 0.640387 0.640387i −0.310264 0.950650i \(-0.600417\pi\)
0.950650 + 0.310264i \(0.100417\pi\)
\(360\) −11.6727 1.07553i −0.615205 0.0566852i
\(361\) −14.8196 8.55608i −0.779978 0.450320i
\(362\) 6.61038 + 24.6703i 0.347434 + 1.29664i
\(363\) −16.3975 + 8.48796i −0.860645 + 0.445503i
\(364\) 7.54051 5.19882i 0.395230 0.272492i
\(365\) 28.6283i 1.49847i
\(366\) −10.9079 11.9592i −0.570167 0.625117i
\(367\) 4.53141 7.84863i 0.236538 0.409695i −0.723181 0.690659i \(-0.757321\pi\)
0.959718 + 0.280964i \(0.0906540\pi\)
\(368\) −0.876460 1.51807i −0.0456887 0.0791351i
\(369\) 15.6661 2.68788i 0.815546 0.139926i
\(370\) 11.6808 + 3.12986i 0.607255 + 0.162713i
\(371\) −7.46988 2.00155i −0.387817 0.103915i
\(372\) −4.82264 + 15.1733i −0.250042 + 0.786699i
\(373\) 3.78793 + 6.56090i 0.196132 + 0.339710i 0.947271 0.320434i \(-0.103829\pi\)
−0.751139 + 0.660144i \(0.770495\pi\)
\(374\) −0.318834 + 0.552237i −0.0164865 + 0.0285555i
\(375\) 26.3394 24.0241i 1.36016 1.24060i
\(376\) 7.79393i 0.401941i
\(377\) −3.86103 + 21.0048i −0.198853 + 1.08180i
\(378\) −1.81342 + 13.0743i −0.0932723 + 0.672472i
\(379\) 3.12578 + 11.6656i 0.160561 + 0.599221i 0.998565 + 0.0535568i \(0.0170558\pi\)
−0.838004 + 0.545664i \(0.816278\pi\)
\(380\) 4.64941 + 2.68434i 0.238510 + 0.137704i
\(381\) −13.5847 8.69856i −0.695967 0.445641i
\(382\) 16.7205 16.7205i 0.855493 0.855493i
\(383\) −9.53291 + 35.5773i −0.487109 + 1.81792i 0.0832617 + 0.996528i \(0.473466\pi\)
−0.570371 + 0.821387i \(0.693200\pi\)
\(384\) −0.370982 1.69185i −0.0189316 0.0863371i
\(385\) −4.09094 4.09094i −0.208494 0.208494i
\(386\) −9.17870 + 5.29932i −0.467183 + 0.269728i
\(387\) 10.2662 4.72967i 0.521862 0.240423i
\(388\) −0.592450 + 0.158747i −0.0300771 + 0.00805914i
\(389\) −14.1012 −0.714961 −0.357481 0.933921i \(-0.616364\pi\)
−0.357481 + 0.933921i \(0.616364\pi\)
\(390\) 5.50900 23.7716i 0.278959 1.20372i
\(391\) −1.91770 −0.0969820
\(392\) −0.528506 + 0.141613i −0.0266936 + 0.00715253i
\(393\) 0.0730070 1.58805i 0.00368272 0.0801064i
\(394\) 3.00316 1.73388i 0.151297 0.0873514i
\(395\) −36.2189 36.2189i −1.82237 1.82237i
\(396\) 1.11781 + 1.34470i 0.0561719 + 0.0675738i
\(397\) −2.03222 + 7.58436i −0.101994 + 0.380648i −0.997987 0.0634210i \(-0.979799\pi\)
0.895992 + 0.444069i \(0.146466\pi\)
\(398\) 2.18357 2.18357i 0.109453 0.109453i
\(399\) 3.25989 5.09105i 0.163199 0.254871i
\(400\) 8.89201 + 5.13380i 0.444600 + 0.256690i
\(401\) 5.65677 + 21.1113i 0.282485 + 1.05425i 0.950657 + 0.310243i \(0.100410\pi\)
−0.668172 + 0.744007i \(0.732923\pi\)
\(402\) 5.25618 + 10.1542i 0.262154 + 0.506444i
\(403\) −29.9351 14.2243i −1.49118 0.708561i
\(404\) 5.83579i 0.290341i
\(405\) 19.9039 + 28.9916i 0.989033 + 1.44060i
\(406\) −7.52332 + 13.0308i −0.373376 + 0.646706i
\(407\) −0.901965 1.56225i −0.0447088 0.0774378i
\(408\) −1.80584 0.573965i −0.0894026 0.0284155i
\(409\) 2.16512 + 0.580141i 0.107058 + 0.0286861i 0.311950 0.950098i \(-0.399018\pi\)
−0.204892 + 0.978785i \(0.565684\pi\)
\(410\) −19.9972 5.35824i −0.987592 0.264625i
\(411\) 14.2266 + 4.52173i 0.701744 + 0.223041i
\(412\) 1.03657 + 1.79539i 0.0510680 + 0.0884523i
\(413\) 10.7694 18.6531i 0.529926 0.917860i
\(414\) −1.82139 + 4.93327i −0.0895163 + 0.242457i
\(415\) 28.4800i 1.39803i
\(416\) 3.59402 0.288181i 0.176211 0.0141292i
\(417\) 2.63809 + 5.09640i 0.129188 + 0.249572i
\(418\) −0.207279 0.773575i −0.0101383 0.0378368i
\(419\) 28.9126 + 16.6927i 1.41247 + 0.815491i 0.995621 0.0934844i \(-0.0298005\pi\)
0.416851 + 0.908975i \(0.363134\pi\)
\(420\) 9.27059 14.4781i 0.452358 0.706458i
\(421\) 2.25285 2.25285i 0.109797 0.109797i −0.650074 0.759871i \(-0.725262\pi\)
0.759871 + 0.650074i \(0.225262\pi\)
\(422\) −1.28323 + 4.78907i −0.0624665 + 0.233128i
\(423\) 17.9807 14.9467i 0.874250 0.726734i
\(424\) −2.15268 2.15268i −0.104543 0.104543i
\(425\) 9.72786 5.61638i 0.471870 0.272435i
\(426\) −0.0676503 + 1.47153i −0.00327767 + 0.0712958i
\(427\) 22.9305 6.14422i 1.10969 0.297339i
\(428\) −3.45856 −0.167176
\(429\) −3.08856 + 1.92636i −0.149117 + 0.0930058i
\(430\) −14.7221 −0.709964
\(431\) 20.9452 5.61224i 1.00889 0.270332i 0.283727 0.958905i \(-0.408429\pi\)
0.725167 + 0.688573i \(0.241762\pi\)
\(432\) −3.19168 + 4.10039i −0.153560 + 0.197280i
\(433\) 26.0258 15.0260i 1.25072 0.722103i 0.279466 0.960155i \(-0.409842\pi\)
0.971252 + 0.238053i \(0.0765091\pi\)
\(434\) −16.5112 16.5112i −0.792561 0.792561i
\(435\) 8.58622 + 39.1573i 0.411678 + 1.87745i
\(436\) −4.02265 + 15.0127i −0.192650 + 0.718980i
\(437\) 1.70306 1.70306i 0.0814682 0.0814682i
\(438\) −10.6871 6.84315i −0.510650 0.326979i
\(439\) −18.0531 10.4229i −0.861626 0.497460i 0.00293019 0.999996i \(-0.499067\pi\)
−0.864557 + 0.502535i \(0.832401\pi\)
\(440\) −0.589466 2.19992i −0.0281017 0.104877i
\(441\) 1.34024 + 0.947691i 0.0638209 + 0.0451282i
\(442\) 1.69290 3.56272i 0.0805228 0.169461i
\(443\) 13.0363i 0.619374i 0.950839 + 0.309687i \(0.100224\pi\)
−0.950839 + 0.309687i \(0.899776\pi\)
\(444\) 3.96050 3.61236i 0.187957 0.171435i
\(445\) −18.9314 + 32.7901i −0.897433 + 1.55440i
\(446\) −9.53204 16.5100i −0.451355 0.781770i
\(447\) 4.12114 12.9662i 0.194923 0.613281i
\(448\) 2.45369 + 0.657464i 0.115926 + 0.0310623i
\(449\) −18.3916 4.92801i −0.867953 0.232567i −0.202750 0.979230i \(-0.564988\pi\)
−0.665202 + 0.746663i \(0.731655\pi\)
\(450\) −5.20882 30.3592i −0.245546 1.43115i
\(451\) 1.54414 + 2.67453i 0.0727109 + 0.125939i
\(452\) 5.44856 9.43719i 0.256279 0.443888i
\(453\) −16.9360 18.5682i −0.795720 0.872409i
\(454\) 5.36023i 0.251568i
\(455\) 27.2473 + 23.2021i 1.27737 + 1.08773i
\(456\) 2.11345 1.09400i 0.0989712 0.0512313i
\(457\) −5.50257 20.5359i −0.257399 0.960627i −0.966740 0.255761i \(-0.917674\pi\)
0.709341 0.704866i \(-0.248993\pi\)
\(458\) −3.41013 1.96884i −0.159345 0.0919978i
\(459\) 2.13900 + 5.26681i 0.0998398 + 0.245834i
\(460\) 4.84320 4.84320i 0.225816 0.225816i
\(461\) 0.395195 1.47489i 0.0184061 0.0686924i −0.956112 0.293002i \(-0.905346\pi\)
0.974518 + 0.224309i \(0.0720125\pi\)
\(462\) −2.50505 + 0.549295i −0.116545 + 0.0255555i
\(463\) −21.3272 21.3272i −0.991159 0.991159i 0.00880240 0.999961i \(-0.497198\pi\)
−0.999961 + 0.00880240i \(0.997198\pi\)
\(464\) −5.12973 + 2.96165i −0.238142 + 0.137491i
\(465\) −62.1448 2.85697i −2.88189 0.132489i
\(466\) −3.70590 + 0.992992i −0.171672 + 0.0459995i
\(467\) 11.2935 0.522601 0.261300 0.965258i \(-0.415849\pi\)
0.261300 + 0.965258i \(0.415849\pi\)
\(468\) −7.55722 7.73877i −0.349332 0.357725i
\(469\) −16.7691 −0.774326
\(470\) −29.4162 + 7.88203i −1.35687 + 0.363571i
\(471\) 11.6193 + 0.534170i 0.535387 + 0.0246133i
\(472\) 7.34303 4.23950i 0.337990 0.195139i
\(473\) 1.55291 + 1.55291i 0.0714031 + 0.0714031i
\(474\) −22.1783 + 4.86315i −1.01868 + 0.223372i
\(475\) −3.65130 + 13.6268i −0.167533 + 0.625241i
\(476\) 1.96507 1.96507i 0.0900689 0.0900689i
\(477\) −0.837972 + 9.09451i −0.0383681 + 0.416409i
\(478\) −0.920426 0.531408i −0.0420993 0.0243060i
\(479\) −7.52517 28.0843i −0.343834 1.28320i −0.893969 0.448129i \(-0.852090\pi\)
0.550135 0.835076i \(-0.314576\pi\)
\(480\) 6.01029 3.11115i 0.274331 0.142004i
\(481\) 6.33390 + 9.18688i 0.288801 + 0.418885i
\(482\) 27.9636i 1.27371i
\(483\) −5.19740 5.69830i −0.236490 0.259282i
\(484\) 5.33013 9.23205i 0.242279 0.419639i
\(485\) −1.19829 2.07551i −0.0544118 0.0942440i
\(486\) 15.5804 0.500258i 0.706743 0.0226921i
\(487\) 2.44743 + 0.655786i 0.110903 + 0.0297165i 0.313844 0.949475i \(-0.398383\pi\)
−0.202940 + 0.979191i \(0.565050\pi\)
\(488\) 9.02689 + 2.41875i 0.408628 + 0.109492i
\(489\) 0.826137 2.59924i 0.0373592 0.117542i
\(490\) −1.06896 1.85149i −0.0482907 0.0836420i
\(491\) 18.4575 31.9694i 0.832978 1.44276i −0.0626890 0.998033i \(-0.519968\pi\)
0.895667 0.444726i \(-0.146699\pi\)
\(492\) −6.78029 + 6.18427i −0.305679 + 0.278808i
\(493\) 6.48009i 0.291849i
\(494\) 1.66054 + 4.66738i 0.0747114 + 0.209995i
\(495\) −3.94478 + 5.57877i −0.177305 + 0.250747i
\(496\) −2.37910 8.87893i −0.106825 0.398676i
\(497\) −1.87100 1.08022i −0.0839256 0.0484545i
\(498\) 10.6317 + 6.80770i 0.476420 + 0.305060i
\(499\) 22.3461 22.3461i 1.00035 1.00035i 0.000347536 1.00000i \(-0.499889\pi\)
1.00000 0.000347536i \(-0.000110624\pi\)
\(500\) −5.32715 + 19.8812i −0.238237 + 0.889114i
\(501\) 9.06851 + 41.3567i 0.405151 + 1.84768i
\(502\) 10.6960 + 10.6960i 0.477385 + 0.477385i
\(503\) 20.2177 11.6727i 0.901464 0.520460i 0.0237889 0.999717i \(-0.492427\pi\)
0.877675 + 0.479257i \(0.159094\pi\)
\(504\) −3.18876 6.92152i −0.142039 0.308309i
\(505\) −22.0256 + 5.90175i −0.980128 + 0.262625i
\(506\) −1.02174 −0.0454218
\(507\) 18.0916 13.4050i 0.803477 0.595335i
\(508\) 9.31325 0.413209
\(509\) −18.0113 + 4.82612i −0.798338 + 0.213914i −0.634854 0.772632i \(-0.718940\pi\)
−0.163484 + 0.986546i \(0.552273\pi\)
\(510\) 0.340021 7.39614i 0.0150564 0.327507i
\(511\) 16.1182 9.30585i 0.713028 0.411667i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −6.57690 2.77773i −0.290377 0.122640i
\(514\) 0.0924504 0.345030i 0.00407781 0.0152186i
\(515\) −5.72793 + 5.72793i −0.252403 + 0.252403i
\(516\) −3.51910 + 5.49585i −0.154920 + 0.241941i
\(517\) 3.93427 + 2.27145i 0.173029 + 0.0998984i
\(518\) 2.03477 + 7.59385i 0.0894025 + 0.333655i
\(519\) 16.5355 + 31.9441i 0.725827 + 1.40219i
\(520\) 4.72231 + 13.2732i 0.207087 + 0.582070i
\(521\) 20.1922i 0.884637i −0.896858 0.442318i \(-0.854156\pi\)
0.896858 0.442318i \(-0.145844\pi\)
\(522\) 16.6700 + 6.15465i 0.729627 + 0.269382i
\(523\) −14.1118 + 24.4424i −0.617066 + 1.06879i 0.372952 + 0.927850i \(0.378345\pi\)
−0.990018 + 0.140939i \(0.954988\pi\)
\(524\) 0.458914 + 0.794862i 0.0200478 + 0.0347237i
\(525\) 43.0534 + 13.6840i 1.87901 + 0.597218i
\(526\) −2.07459 0.555884i −0.0904563 0.0242377i
\(527\) −9.71355 2.60274i −0.423129 0.113377i
\(528\) −0.962144 0.305805i −0.0418719 0.0133085i
\(529\) 9.96363 + 17.2575i 0.433201 + 0.750327i
\(530\) 5.94771 10.3017i 0.258352 0.447478i
\(531\) −23.8626 8.81018i −1.03555 0.382329i
\(532\) 3.49026i 0.151322i
\(533\) −10.8435 15.7277i −0.469684 0.681243i
\(534\) 7.71547 + 14.9051i 0.333881 + 0.645009i
\(535\) −3.49765 13.0534i −0.151217 0.564349i
\(536\) −5.71696 3.30069i −0.246935 0.142568i
\(537\) 13.0763 20.4216i 0.564285 0.881256i
\(538\) −17.3407 + 17.3407i −0.747612 + 0.747612i
\(539\) −0.0825429 + 0.308054i −0.00355537 + 0.0132688i
\(540\) −18.7036 7.89940i −0.804875 0.339936i
\(541\) −13.2334 13.2334i −0.568947 0.568947i 0.362887 0.931833i \(-0.381791\pi\)
−0.931833 + 0.362887i \(0.881791\pi\)
\(542\) 18.9885 10.9630i 0.815627 0.470903i
\(543\) −2.03158 + 44.1908i −0.0871833 + 1.89641i
\(544\) 1.05672 0.283148i 0.0453066 0.0121399i
\(545\) −60.7298 −2.60138
\(546\) 15.1745 4.62547i 0.649410 0.197952i
\(547\) −14.7212 −0.629433 −0.314717 0.949186i \(-0.601909\pi\)
−0.314717 + 0.949186i \(0.601909\pi\)
\(548\) −8.32493 + 2.23066i −0.355624 + 0.0952890i
\(549\) −11.7311 25.4636i −0.500673 1.08676i
\(550\) 5.18295 2.99238i 0.221002 0.127595i
\(551\) −5.75480 5.75480i −0.245163 0.245163i
\(552\) −0.650302 2.96569i −0.0276787 0.126228i
\(553\) 8.61860 32.1651i 0.366500 1.36780i
\(554\) 13.1878 13.1878i 0.560295 0.560295i
\(555\) 17.6392 + 11.2947i 0.748741 + 0.479433i
\(556\) −2.86936 1.65662i −0.121688 0.0702565i
\(557\) −3.19111 11.9094i −0.135212 0.504616i −0.999997 0.00247467i \(-0.999212\pi\)
0.864785 0.502142i \(-0.167454\pi\)
\(558\) −15.9213 + 22.5161i −0.674001 + 0.953181i
\(559\) −10.3430 8.80748i −0.437464 0.372517i
\(560\) 9.92570i 0.419438i
\(561\) −0.816022 + 0.744291i −0.0344525 + 0.0314240i
\(562\) 7.97489 13.8129i 0.336400 0.582662i
\(563\) 9.86628 + 17.0889i 0.415814 + 0.720211i 0.995514 0.0946194i \(-0.0301634\pi\)
−0.579700 + 0.814830i \(0.696830\pi\)
\(564\) −4.08907 + 12.8653i −0.172181 + 0.541726i
\(565\) 41.1283 + 11.0203i 1.73028 + 0.463628i
\(566\) −4.55446 1.22036i −0.191438 0.0512958i
\(567\) −9.85280 + 20.6302i −0.413779 + 0.866385i
\(568\) −0.425242 0.736541i −0.0178428 0.0309046i
\(569\) −17.4503 + 30.2248i −0.731555 + 1.26709i 0.224663 + 0.974436i \(0.427872\pi\)
−0.956218 + 0.292654i \(0.905462\pi\)
\(570\) 6.26635 + 6.87028i 0.262469 + 0.287764i
\(571\) 2.37582i 0.0994248i −0.998764 0.0497124i \(-0.984170\pi\)
0.998764 0.0497124i \(-0.0158305\pi\)
\(572\) 0.901965 1.89820i 0.0377131 0.0793677i
\(573\) 36.3725 18.8278i 1.51948 0.786542i
\(574\) −3.48347 13.0005i −0.145397 0.542630i
\(575\) 15.5870 + 8.99915i 0.650022 + 0.375291i
\(576\) 0.275255 2.98735i 0.0114690 0.124473i
\(577\) 3.78848 3.78848i 0.157716 0.157716i −0.623838 0.781554i \(-0.714427\pi\)
0.781554 + 0.623838i \(0.214427\pi\)
\(578\) −4.09016 + 15.2647i −0.170128 + 0.634927i
\(579\) −17.9314 + 3.93191i −0.745202 + 0.163404i
\(580\) −16.3657 16.3657i −0.679548 0.679548i
\(581\) −16.0347 + 9.25764i −0.665232 + 0.384072i
\(582\) −1.06123 0.0487878i −0.0439895 0.00202232i
\(583\) −1.71402 + 0.459269i −0.0709873 + 0.0190210i
\(584\) 7.32673 0.303182
\(585\) 21.5653 36.3490i 0.891615 1.50285i
\(586\) −21.3553 −0.882179
\(587\) 9.81579 2.63013i 0.405141 0.108557i −0.0504929 0.998724i \(-0.516079\pi\)
0.455634 + 0.890167i \(0.349413\pi\)
\(588\) −0.946692 0.0435221i −0.0390409 0.00179482i
\(589\) 10.9378 6.31493i 0.450683 0.260202i
\(590\) 23.4269 + 23.4269i 0.964471 + 0.964471i
\(591\) 5.86693 1.28647i 0.241333 0.0529184i
\(592\) −0.801012 + 2.98942i −0.0329214 + 0.122864i
\(593\) −9.76893 + 9.76893i −0.401162 + 0.401162i −0.878642 0.477481i \(-0.841550\pi\)
0.477481 + 0.878642i \(0.341550\pi\)
\(594\) 1.13964 + 2.80613i 0.0467602 + 0.115137i
\(595\) 9.40393 + 5.42936i 0.385523 + 0.222582i
\(596\) 2.03304 + 7.58742i 0.0832766 + 0.310793i
\(597\) 4.74998 2.45877i 0.194404 0.100631i
\(598\) 6.30003 0.505159i 0.257627 0.0206575i
\(599\) 35.2538i 1.44043i −0.693750 0.720216i \(-0.744043\pi\)
0.693750 0.720216i \(-0.255957\pi\)
\(600\) 11.9844 + 13.1394i 0.489262 + 0.536415i
\(601\) −4.57192 + 7.91880i −0.186493 + 0.323015i −0.944078 0.329721i \(-0.893045\pi\)
0.757586 + 0.652736i \(0.226379\pi\)
\(602\) −4.78554 8.28880i −0.195044 0.337826i
\(603\) 3.34892 + 19.5189i 0.136378 + 0.794872i
\(604\) 14.0154 + 3.75542i 0.570279 + 0.152806i
\(605\) 40.2343 + 10.7808i 1.63576 + 0.438300i
\(606\) −3.06173 + 9.63301i −0.124374 + 0.391314i
\(607\) 9.96393 + 17.2580i 0.404423 + 0.700482i 0.994254 0.107045i \(-0.0341389\pi\)
−0.589831 + 0.807527i \(0.700806\pi\)
\(608\) −0.686992 + 1.18990i −0.0278612 + 0.0482570i
\(609\) −19.2552 + 17.5625i −0.780258 + 0.711670i
\(610\) 36.5157i 1.47848i
\(611\) −25.3817 12.0606i −1.02683 0.487920i
\(612\) −2.67974 1.89486i −0.108322 0.0765953i
\(613\) −3.88890 14.5136i −0.157071 0.586198i −0.998919 0.0464829i \(-0.985199\pi\)
0.841848 0.539715i \(-0.181468\pi\)
\(614\) 19.8726 + 11.4735i 0.801994 + 0.463032i
\(615\) −30.1978 19.3362i −1.21769 0.779712i
\(616\) 1.04698 1.04698i 0.0421840 0.0421840i
\(617\) −2.63629 + 9.83876i −0.106133 + 0.396094i −0.998471 0.0552736i \(-0.982397\pi\)
0.892338 + 0.451367i \(0.149064\pi\)
\(618\) 0.769095 + 3.50744i 0.0309375 + 0.141090i
\(619\) 18.1131 + 18.1131i 0.728027 + 0.728027i 0.970226 0.242199i \(-0.0778688\pi\)
−0.242199 + 0.970226i \(0.577869\pi\)
\(620\) 31.1052 17.9586i 1.24922 0.721235i
\(621\) −5.59475 + 7.18766i −0.224510 + 0.288431i
\(622\) 31.7272 8.50128i 1.27215 0.340870i
\(623\) −24.6151 −0.986185
\(624\) 6.08376 + 1.40990i 0.243545 + 0.0564411i
\(625\) −29.0857 −1.16343
\(626\) −10.6859 + 2.86328i −0.427095 + 0.114440i
\(627\) 0.0637033 1.38567i 0.00254406 0.0553385i
\(628\) −5.81577 + 3.35773i −0.232074 + 0.133988i
\(629\) 2.39412 + 2.39412i 0.0954596 + 0.0954596i
\(630\) 22.8987 19.0349i 0.912305 0.758368i
\(631\) −5.19785 + 19.3987i −0.206923 + 0.772248i 0.781931 + 0.623364i \(0.214235\pi\)
−0.988855 + 0.148884i \(0.952432\pi\)
\(632\) 9.26936 9.26936i 0.368716 0.368716i
\(633\) −4.63077 + 7.23198i −0.184057 + 0.287445i
\(634\) −21.4942 12.4097i −0.853645 0.492852i
\(635\) 9.41853 + 35.1504i 0.373763 + 1.39490i
\(636\) −2.42398 4.68278i −0.0961173 0.185684i
\(637\) 0.356653 1.94027i 0.0141311 0.0768763i
\(638\) 3.45256i 0.136688i
\(639\) −0.883703 + 2.39353i −0.0349587 + 0.0946866i
\(640\) −1.95369 + 3.38389i −0.0772263 + 0.133760i
\(641\) 22.3417 + 38.6969i 0.882443 + 1.52844i 0.848617 + 0.529008i \(0.177436\pi\)
0.0338257 + 0.999428i \(0.489231\pi\)
\(642\) −5.70897 1.81452i −0.225315 0.0716136i
\(643\) 8.68244 + 2.32645i 0.342402 + 0.0917463i 0.425922 0.904760i \(-0.359950\pi\)
−0.0835204 + 0.996506i \(0.526616\pi\)
\(644\) 4.30112 + 1.15248i 0.169488 + 0.0454142i
\(645\) −24.3015 7.72393i −0.956872 0.304130i
\(646\) 0.751569 + 1.30176i 0.0295701 + 0.0512169i
\(647\) 18.9869 32.8862i 0.746451 1.29289i −0.203063 0.979166i \(-0.565090\pi\)
0.949514 0.313725i \(-0.101577\pi\)
\(648\) −7.41970 + 5.09393i −0.291473 + 0.200108i
\(649\) 4.94222i 0.193999i
\(650\) −30.4786 + 21.0135i −1.19547 + 0.824217i
\(651\) −18.5921 35.9172i −0.728682 1.40771i
\(652\) 0.407550 + 1.52100i 0.0159609 + 0.0595668i
\(653\) −16.0116 9.24428i −0.626581 0.361757i 0.152846 0.988250i \(-0.451156\pi\)
−0.779427 + 0.626493i \(0.784490\pi\)
\(654\) −14.5165 + 22.6707i −0.567640 + 0.886496i
\(655\) −2.53590 + 2.53590i −0.0990857 + 0.0990857i
\(656\) 1.37131 5.11781i 0.0535408 0.199817i
\(657\) −14.0508 16.9028i −0.548172 0.659442i
\(658\) −13.9997 13.9997i −0.545763 0.545763i
\(659\) −0.644195 + 0.371926i −0.0250943 + 0.0144882i −0.512495 0.858690i \(-0.671279\pi\)
0.487400 + 0.873179i \(0.337945\pi\)
\(660\) 0.181161 3.94062i 0.00705170 0.153389i
\(661\) 27.0849 7.25737i 1.05348 0.282279i 0.309790 0.950805i \(-0.399741\pi\)
0.743689 + 0.668526i \(0.233075\pi\)
\(662\) −4.62395 −0.179715
\(663\) 4.66360 4.99274i 0.181119 0.193902i
\(664\) −7.28877 −0.282859
\(665\) −13.1731 + 3.52971i −0.510829 + 0.136876i
\(666\) 8.43274 3.88498i 0.326762 0.150540i
\(667\) −8.99201 + 5.19154i −0.348172 + 0.201017i
\(668\) −17.2850 17.2850i −0.668775 0.668775i
\(669\) −7.07243 32.2537i −0.273436 1.24700i
\(670\) 6.67600 24.9152i 0.257916 0.962556i
\(671\) 3.85174 3.85174i 0.148695 0.148695i
\(672\) 3.70532 + 2.37259i 0.142936 + 0.0915245i
\(673\) 23.9347 + 13.8187i 0.922615 + 0.532672i 0.884468 0.466600i \(-0.154521\pi\)
0.0381465 + 0.999272i \(0.487855\pi\)
\(674\) 2.01474 + 7.51911i 0.0776049 + 0.289625i
\(675\) 7.32980 52.8461i 0.282124 2.03405i
\(676\) −4.62302 + 12.1502i −0.177808 + 0.467316i
\(677\) 34.0927i 1.31029i 0.755504 + 0.655145i \(0.227392\pi\)
−0.755504 + 0.655145i \(0.772608\pi\)
\(678\) 13.9450 12.7192i 0.535556 0.488478i
\(679\) 0.779030 1.34932i 0.0298964 0.0517821i
\(680\) 2.13734 + 3.70198i 0.0819631 + 0.141964i
\(681\) −2.81223 + 8.84802i −0.107765 + 0.339057i
\(682\) −5.17533 1.38672i −0.198174 0.0531004i
\(683\) 22.5100 + 6.03154i 0.861322 + 0.230790i 0.662331 0.749211i \(-0.269567\pi\)
0.198990 + 0.980001i \(0.436234\pi\)
\(684\) 4.06259 0.697030i 0.155337 0.0266516i
\(685\) −16.8381 29.1644i −0.643350 1.11431i
\(686\) 9.58581 16.6031i 0.365988 0.633910i
\(687\) −4.59609 5.03904i −0.175352 0.192251i
\(688\) 3.76778i 0.143645i
\(689\) 10.3415 3.67928i 0.393981 0.140169i
\(690\) 10.5356 5.45361i 0.401082 0.207615i
\(691\) 2.64500 + 9.87128i 0.100621 + 0.375521i 0.997812 0.0661216i \(-0.0210625\pi\)
−0.897191 + 0.441643i \(0.854396\pi\)
\(692\) −17.9850 10.3837i −0.683689 0.394728i
\(693\) −4.42322 0.407557i −0.168024 0.0154818i
\(694\) 7.66753 7.66753i 0.291056 0.291056i
\(695\) 3.35070 12.5050i 0.127099 0.474341i
\(696\) −10.0214 + 2.19744i −0.379859 + 0.0832936i
\(697\) −4.09867 4.09867i −0.155248 0.155248i
\(698\) −13.3129 + 7.68623i −0.503902 + 0.290928i
\(699\) −6.63822 0.305178i −0.251081 0.0115429i
\(700\) −25.1935 + 6.75058i −0.952225 + 0.255148i
\(701\) 31.9420 1.20643 0.603217 0.797577i \(-0.293885\pi\)
0.603217 + 0.797577i \(0.293885\pi\)
\(702\) −8.41442 16.7391i −0.317582 0.631777i
\(703\) −4.25230 −0.160379
\(704\) 0.563016 0.150860i 0.0212195 0.00568574i
\(705\) −52.6920 2.42240i −1.98449 0.0912328i
\(706\) −1.61722 + 0.933704i −0.0608650 + 0.0351404i
\(707\) −10.4824 10.4824i −0.394231 0.394231i
\(708\) 14.3452 3.14556i 0.539127 0.118217i
\(709\) 1.92196 7.17283i 0.0721805 0.269381i −0.920399 0.390981i \(-0.872136\pi\)
0.992579 + 0.121600i \(0.0388024\pi\)
\(710\) 2.34983 2.34983i 0.0881876 0.0881876i
\(711\) −39.1607 3.60828i −1.46864 0.135321i
\(712\) −8.39184 4.84503i −0.314497 0.181575i
\(713\) −4.17038 15.5641i −0.156182 0.582879i
\(714\) 4.27467 2.21273i 0.159976 0.0828095i
\(715\) 8.07641 + 1.48458i 0.302041 + 0.0555200i
\(716\) 14.0004i 0.523218i
\(717\) −1.24053 1.36008i −0.0463283 0.0507933i
\(718\) −8.57975 + 14.8606i −0.320193 + 0.554591i
\(719\) 14.4593 + 25.0442i 0.539240 + 0.933992i 0.998945 + 0.0459198i \(0.0146219\pi\)
−0.459705 + 0.888072i \(0.652045\pi\)
\(720\) 11.5533 1.98224i 0.430567 0.0738736i
\(721\) −5.08682 1.36301i −0.189443 0.0507612i
\(722\) 16.5291 + 4.42896i 0.615149 + 0.164829i
\(723\) 14.6710 46.1589i 0.545621 1.71667i
\(724\) −12.7703 22.1188i −0.474603 0.822037i
\(725\) 30.4091 52.6700i 1.12936 1.95612i
\(726\) 13.6419 12.4427i 0.506299 0.461793i
\(727\) 13.5518i 0.502608i −0.967908 0.251304i \(-0.919141\pi\)
0.967908 0.251304i \(-0.0808594\pi\)
\(728\) −5.93802 + 6.97330i −0.220078 + 0.258448i
\(729\) 25.9808 + 7.34847i 0.962250 + 0.272166i
\(730\) 7.40955 + 27.6528i 0.274240 + 1.02348i
\(731\) −3.56971 2.06098i −0.132031 0.0762279i
\(732\) 13.6315 + 8.72852i 0.503835 + 0.322615i
\(733\) −13.9665 + 13.9665i −0.515864 + 0.515864i −0.916317 0.400453i \(-0.868853\pi\)
0.400453 + 0.916317i \(0.368853\pi\)
\(734\) −2.34563 + 8.75401i −0.0865788 + 0.323116i
\(735\) −0.793130 3.61705i −0.0292551 0.133417i
\(736\) 1.23950 + 1.23950i 0.0456887 + 0.0456887i
\(737\) −3.33228 + 1.92390i −0.122746 + 0.0708676i
\(738\) −14.4366 + 6.65099i −0.531420 + 0.244826i
\(739\) −1.90239 + 0.509744i −0.0699806 + 0.0187512i −0.293639 0.955916i \(-0.594867\pi\)
0.223659 + 0.974667i \(0.428200\pi\)
\(740\) −12.0928 −0.444541
\(741\) 0.292298 + 8.57554i 0.0107378 + 0.315030i
\(742\) 7.73339 0.283902
\(743\) 5.78030 1.54883i 0.212059 0.0568210i −0.151226 0.988499i \(-0.548322\pi\)
0.363284 + 0.931678i \(0.381655\pi\)
\(744\) 0.731173 15.9045i 0.0268061 0.583086i
\(745\) −26.5807 + 15.3464i −0.973841 + 0.562247i
\(746\) −5.35695 5.35695i −0.196132 0.196132i
\(747\) 13.9780 + 16.8153i 0.511427 + 0.615238i
\(748\) 0.165041 0.615940i 0.00603448 0.0225210i
\(749\) 6.21235 6.21235i 0.226994 0.226994i
\(750\) −19.2240 + 30.0226i −0.701963 + 1.09627i
\(751\) −15.1590 8.75204i −0.553159 0.319366i 0.197236 0.980356i \(-0.436803\pi\)
−0.750395 + 0.660990i \(0.770137\pi\)
\(752\) −2.01722 7.52836i −0.0735604 0.274531i
\(753\) 12.0440 + 23.2673i 0.438909 + 0.847906i
\(754\) −1.70698 21.2884i −0.0621646 0.775279i
\(755\) 56.6953i 2.06335i
\(756\) −1.63226 13.0982i −0.0593647 0.476377i
\(757\) −4.00168 + 6.93111i −0.145443 + 0.251915i −0.929538 0.368726i \(-0.879794\pi\)
0.784095 + 0.620641i \(0.213128\pi\)
\(758\) −6.03855 10.4591i −0.219330 0.379891i
\(759\) −1.68656 0.536052i −0.0612183 0.0194575i
\(760\) −5.18574 1.38951i −0.188107 0.0504030i
\(761\) −18.9310 5.07254i −0.686247 0.183879i −0.101185 0.994868i \(-0.532263\pi\)
−0.585062 + 0.810988i \(0.698930\pi\)
\(762\) 15.3732 + 4.88617i 0.556912 + 0.177007i
\(763\) −19.7407 34.1918i −0.714660 1.23783i
\(764\) −11.8231 + 20.4783i −0.427747 + 0.740879i
\(765\) 4.44163 12.0303i 0.160588 0.434955i
\(766\) 36.8323i 1.33081i
\(767\) 2.44349 + 30.4737i 0.0882293 + 1.10034i
\(768\) 0.796225 + 1.53819i 0.0287313 + 0.0555046i
\(769\) 11.1131 + 41.4747i 0.400749 + 1.49561i 0.811764 + 0.583986i \(0.198508\pi\)
−0.411015 + 0.911629i \(0.634826\pi\)
\(770\) 5.01036