Properties

Label 78.2.k.a.11.1
Level $78$
Weight $2$
Character 78.11
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 11.1
Root \(0.500000 - 1.74530i\) of defining polynomial
Character \(\chi\) \(=\) 78.11
Dual form 78.2.k.a.71.1

$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).

\(n\) \(53\) \(67\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{12}\right)\)

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 0.273849 0.961773i \(-0.411703\pi\)
0.961773 0.273849i \(-0.0882968\pi\)
\(6\) 1.69185 + 0.370982i 0.690697 + 0.151453i
\(7\) −0.657464 2.45369i −0.248498 0.927407i −0.971593 0.236659i \(-0.923948\pi\)
0.723095 0.690749i \(-0.242719\pi\)
\(8\) −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 −0.939446 0.342696i \(-0.888660\pi\)
0.984932 + 0.172940i \(0.0553267\pi\)
\(12\) −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 −0.924704 0.380687i \(-0.875687\pi\)
0.792037 + 0.610473i \(0.209021\pi\)
\(18\) −2.95680 0.507306i −0.696923 0.119573i
\(19\) 1.32717 0.355613i 0.304473 0.0815832i −0.103348 0.994645i \(-0.532956\pi\)
0.407821 + 0.913062i \(0.366289\pi\)
\(20\) 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 0.942818 0.333309i \(-0.108165\pi\)
−0.760063 + 0.649849i \(0.774832\pi\)
\(24\) 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 −0.893877 0.448312i \(-0.852025\pi\)
−0.0586892 + 0.998276i \(0.518692\pi\)
\(30\) 5.69948 3.64948i 1.04058 0.666302i
\(31\) 6.49983 + 6.49983i 1.16740 + 1.16740i 0.982816 + 0.184588i \(0.0590950\pi\)
0.184588 + 0.982816i \(0.440905\pi\)
\(32\) −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 0.00457534 0.999990i \(-0.498544\pi\)
−0.496032 + 0.868304i \(0.665210\pi\)
\(38\) −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 0.635262 0.772296i \(-0.280892\pi\)
0.164005 + 0.986459i \(0.447559\pi\)
\(42\) −0.202059 4.39519i −0.0311784 0.678193i
\(43\) 3.26299 + 1.88389i 0.497602 + 0.287290i 0.727723 0.685872i \(-0.240579\pi\)
−0.230121 + 0.973162i \(0.573912\pi\)
\(44\) 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 0.983700 0.179817i \(-0.0575506\pi\)
−0.179817 + 0.983700i \(0.557551\pi\)
\(48\) −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 \(-0.932951\pi\)
0.977897 0.209087i \(-0.0670490\pi\)
\(54\) 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 −0.748955 0.662621i \(-0.769444\pi\)
−0.317304 + 0.948324i \(0.602777\pi\)
\(60\) −6.44983 + 2.05000i −0.832670 + 0.264653i
\(61\) −4.67266 + 8.09329i −0.598273 + 1.03624i 0.394803 + 0.918766i \(0.370813\pi\)
−0.993076 + 0.117474i \(0.962520\pi\)
\(62\) −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 −0.779545 0.626346i \(-0.784550\pi\)
0.988279 0.152659i \(-0.0487838\pi\)
\(68\) −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 0.951633 0.307237i \(-0.0994043\pi\)
−0.977757 + 0.209742i \(0.932738\pi\)
\(72\) −2.30701 1.91774i −0.271883 0.226008i
\(73\) −5.18078 + 5.18078i −0.606365 + 0.606365i −0.941994 0.335629i \(-0.891051\pi\)
0.335629 + 0.941994i \(0.391051\pi\)
\(74\) 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 −0.365208 0.930926i \(-0.619002\pi\)
0.930926 + 0.365208i \(0.119002\pi\)
\(84\) −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 −0.695887 0.718151i \(-0.744989\pi\)
0.961731 0.273994i \(-0.0883448\pi\)
\(90\) −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 −0.288771 0.957398i \(-0.593247\pi\)
0.228616 + 0.973517i \(0.426580\pi\)
\(98\) −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 0.683549 0.729904i \(-0.260435\pi\)
−0.973890 + 0.227019i \(0.927102\pi\)
\(102\) −1.27692 + 1.39999i −0.126434 + 0.138620i
\(103\) 2.07313i 0.204272i −0.994770 0.102136i \(-0.967432\pi\)
0.994770 0.102136i \(-0.0325677\pi\)
\(104\) 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 −0.637742 0.770250i \(-0.720131\pi\)
0.348185 + 0.937426i \(0.386798\pi\)
\(108\) −4.81427 1.95521i −0.463253 0.188140i
\(109\) −10.9901 10.9901i −1.05266 1.05266i −0.998534 0.0541251i \(-0.982763\pi\)
−0.0541251 0.998534i \(-0.517237\pi\)
\(110\) 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 0.873214 0.487336i \(-0.162031\pi\)
0.0145614 + 0.999894i \(0.495365\pi\)
\(114\) 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 −0.0974690 0.995239i \(-0.531075\pi\)
0.813167 + 0.582030i \(0.197741\pi\)
\(128\) 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 \(-0.987234\pi\)
0.999196 0.0400955i \(-0.0127662\pi\)
\(132\) −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 −0.596263 0.802789i \(-0.703348\pi\)
−0.114984 + 0.993367i \(0.536682\pi\)
\(138\) 0.919666 + 2.89351i 0.0782871 + 0.246312i
\(139\) −1.65662 + 2.86936i −0.140513 + 0.243376i −0.927690 0.373352i \(-0.878209\pi\)
0.787177 + 0.616727i \(0.211542\pi\)
\(140\) −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 −0.997837 0.0657369i \(-0.979060\pi\)
0.831284 0.555848i \(-0.187606\pi\)
\(150\) 3.80910 17.3713i 0.311011 1.41836i
\(151\) 10.2600 10.2600i 0.834946 0.834946i −0.153243 0.988189i \(-0.548972\pi\)
0.988189 + 0.153243i \(0.0489717\pi\)
\(152\) −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 0.948127 0.317893i \(-0.102975\pi\)
−0.980048 + 0.198760i \(0.936309\pi\)
\(164\) 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 0.0689223 + 0.997622i \(0.478044\pi\)
−0.558499 + 0.829505i \(0.688623\pi\)
\(168\) 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 0.136845 + 0.990593i \(0.456304\pi\)
−0.926301 + 0.376785i \(0.877029\pi\)
\(174\) −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 −0.999635 0.0270211i \(-0.991398\pi\)
0.476416 0.879220i \(-0.341935\pi\)
\(180\) 10.9966 4.05999i 0.819637 0.302614i
\(181\) 25.5405i 1.89841i 0.314653 + 0.949207i \(0.398112\pi\)
−0.314653 + 0.949207i \(0.601888\pi\)
\(182\) −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 −0.481972 0.876187i \(-0.660079\pi\)
−0.999786 + 0.0206939i \(0.993412\pi\)
\(192\) −0.0795432 1.73022i −0.00574054 0.124868i
\(193\) 10.2375 + 2.74313i 0.736912 + 0.197455i 0.607705 0.794163i \(-0.292090\pi\)
0.129207 + 0.991618i \(0.458757\pi\)
\(194\) 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 0.137512 0.990500i \(-0.456089\pi\)
−0.376161 + 0.926554i \(0.622756\pi\)
\(198\) −0.731683 + 1.58819i −0.0519984 + 0.112868i
\(199\) −2.67432 1.54402i −0.189577 0.109453i 0.402207 0.915549i \(-0.368243\pi\)
−0.591785 + 0.806096i \(0.701576\pi\)
\(200\) −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 0.938651 0.344867i \(-0.112076\pi\)
−0.767990 + 0.640462i \(0.778743\pi\)
\(212\) 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 −0.578340 0.815796i \(-0.696299\pi\)
0.908755 0.417330i \(-0.137034\pi\)
\(224\) −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 0.996561 0.0828671i \(-0.0264077\pi\)
−0.904480 + 0.426515i \(0.859741\pi\)
\(228\) −2.32458 0.509723i −0.153949 0.0337572i
\(229\) 2.78436 2.78436i 0.183996 0.183996i −0.609099 0.793094i \(-0.708469\pi\)
0.793094 + 0.609099i \(0.208469\pi\)
\(230\) −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 −0.682383 0.730995i \(-0.739056\pi\)
0.730995 + 0.682383i \(0.239056\pi\)
\(240\) −6.61072 1.44957i −0.426720 0.0935691i
\(241\) −7.23751 27.0107i −0.466209 1.73991i −0.652851 0.757487i \(-0.726427\pi\)
0.186642 0.982428i \(-0.440240\pi\)
\(242\) −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 −0.999664 0.0259196i \(-0.991749\pi\)
0.522279 + 0.852775i \(0.325082\pi\)
\(252\) 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 0.860401 0.509617i \(-0.170213\pi\)
−0.871542 + 0.490321i \(0.836880\pi\)
\(258\) 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 −0.441556 0.897234i \(-0.645573\pi\)
0.556250 + 0.831015i \(0.312240\pi\)
\(264\) 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 0.979519 0.201352i \(-0.0645335\pi\)
0.315384 + 0.948964i \(0.397867\pi\)
\(270\) 16.0218 12.4711i 0.975055 0.758966i
\(271\) −21.1790 5.67488i −1.28653 0.344725i −0.450189 0.892934i \(-0.648643\pi\)
−0.836341 + 0.548209i \(0.815310\pi\)
\(272\) −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 −0.0710833 0.997470i \(-0.522646\pi\)
−0.899376 + 0.437175i \(0.855979\pi\)
\(278\) 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 0.285560 0.958361i \(-0.407820\pi\)
−0.958361 + 0.285560i \(0.907820\pi\)
\(282\) 7.27952 + 11.3686i 0.433489 + 0.676989i
\(283\) 4.08342 2.35756i 0.242734 0.140143i −0.373699 0.927550i \(-0.621911\pi\)
0.616433 + 0.787408i \(0.288577\pi\)
\(284\) 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 0.400250 0.916406i \(-0.368923\pi\)
0.804830 + 0.593506i \(0.202257\pi\)
\(294\) 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 −0.997449 0.0713857i \(-0.977258\pi\)
0.0713857 + 0.997449i \(0.477258\pi\)
\(308\) −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 −0.0141948 0.999899i \(-0.504519\pi\)
0.999899 + 0.0141948i \(0.00451851\pi\)
\(318\) 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 −0.133973 0.990985i \(-0.542774\pi\)
0.379468 + 0.925205i \(0.376107\pi\)
\(332\) 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 \(0.0680044\pi\)
−0.977265 + 0.212021i \(0.931996\pi\)
\(338\) 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 0.226292 0.974060i \(-0.427340\pi\)
−0.730415 + 0.683004i \(0.760673\pi\)
\(348\) 10.2486 0.471158i 0.549384 0.0252567i
\(349\) 14.8487 + 3.97869i 0.794830 + 0.212974i 0.633313 0.773896i \(-0.281695\pi\)
0.161517 + 0.986870i \(0.448361\pi\)
\(350\) 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 0.306502 0.951870i \(-0.400841\pi\)
−0.210497 + 0.977595i \(0.567508\pi\)
\(354\) −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 0.950650 0.310264i \(-0.100417\pi\)
−0.310264 + 0.950650i \(0.600417\pi\)
\(360\) −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 0.959718 0.280964i \(-0.0906540\pi\)
−0.723181 + 0.690659i \(0.757321\pi\)
\(368\) −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 −0.751139 0.660144i \(-0.770495\pi\)
0.947271 + 0.320434i \(0.103829\pi\)
\(374\) −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 −0.838004 0.545664i \(-0.816278\pi\)
0.998565 0.0535568i \(-0.0170558\pi\)
\(380\) 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 −0.570371 0.821387i \(-0.693200\pi\)
0.0832617 0.996528i \(-0.473466\pi\)
\(384\) −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 0.895992 0.444069i \(-0.146466\pi\)
−0.997987 + 0.0634210i \(0.979799\pi\)
\(398\) 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 −0.668172 0.744007i \(-0.732923\pi\)
0.950657 0.310243i \(-0.100410\pi\)
\(402\) 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 −0.204892 0.978785i \(-0.565684\pi\)
0.311950 + 0.950098i \(0.399018\pi\)
\(410\) −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 0.416851 0.908975i \(-0.363134\pi\)
0.995621 + 0.0934844i \(0.0298005\pi\)
\(420\) 9.27059 + 14.4781i 0.452358 + 0.706458i
\(421\) 2.25285 + 2.25285i 0.109797 + 0.109797i 0.759871 0.650074i \(-0.225262\pi\)
−0.650074 + 0.759871i \(0.725262\pi\)
\(422\) −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 0.725167 0.688573i \(-0.241762\pi\)
0.283727 + 0.958905i \(0.408429\pi\)
\(432\) −3.19168 4.10039i −0.153560 0.197280i
\(433\) 26.0258 + 15.0260i 1.25072 + 0.722103i 0.971252 0.238053i \(-0.0765091\pi\)
0.279466 + 0.960155i \(0.409842\pi\)
\(434\) −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 −0.864557 0.502535i \(-0.832401\pi\)
0.00293019 + 0.999996i \(0.499067\pi\)
\(440\) −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 \(-0.899776\pi\)
0.950839 0.309687i \(-0.100224\pi\)
\(444\) 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 −0.665202 0.746663i \(-0.731655\pi\)
−0.202750 + 0.979230i \(0.564988\pi\)
\(450\) −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 0.709341 + 0.704866i \(0.248993\pi\)
−0.966740 + 0.255761i \(0.917674\pi\)
\(458\) −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 0.974518 0.224309i \(-0.0720125\pi\)
−0.956112 + 0.293002i \(0.905346\pi\)
\(462\) −2.50505 0.549295i −0.116545 0.0255555i
\(463\) −21.3272 + 21.3272i −0.991159 + 0.991159i −0.999961 0.00880240i \(-0.997198\pi\)
0.00880240 + 0.999961i \(0.497198\pi\)
\(464\) −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 0.550135 + 0.835076i \(0.314576\pi\)
−0.893969 + 0.448129i \(0.852090\pi\)
\(480\) 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 −0.202940 0.979191i \(-0.565050\pi\)
0.313844 + 0.949475i \(0.398383\pi\)
\(488\) 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 0.895667 + 0.444726i \(0.146699\pi\)
−0.0626890 + 0.998033i \(0.519968\pi\)
\(492\) −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 1.00000 0.000347536i \(0.000110624\pi\)
0.000347536 1.00000i \(0.499889\pi\)
\(500\) −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 0.877675 0.479257i \(-0.159094\pi\)
0.0237889 + 0.999717i \(0.492427\pi\)
\(504\) −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 −0.163484 0.986546i \(-0.552273\pi\)
−0.634854 + 0.772632i \(0.718940\pi\)
\(510\) 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 \(0.145844\pi\)
−0.896858 + 0.442318i \(0.854156\pi\)
\(522\) 16.6700 6.15465i 0.729627 0.269382i
\(523\) −14.1118 24.4424i −0.617066 1.06879i −0.990018 0.140939i \(-0.954988\pi\)
0.372952 0.927850i \(-0.378345\pi\)
\(524\) 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 −0.931833 0.362887i \(-0.881791\pi\)
0.362887 + 0.931833i \(0.381791\pi\)
\(542\) 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 0.864785 + 0.502142i \(0.167454\pi\)
−0.999997 + 0.00247467i \(0.999212\pi\)
\(558\) −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 −0.579700 0.814830i \(-0.696830\pi\)
0.995514 + 0.0946194i \(0.0301634\pi\)
\(564\) −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 −0.956218 0.292654i \(-0.905462\pi\)
0.224663 0.974436i \(-0.427872\pi\)
\(570\) 6.26635 6.87028i 0.262469 0.287764i
\(571\) 2.37582i 0.0994248i 0.998764 + 0.0497124i \(0.0158305\pi\)
−0.998764 + 0.0497124i \(0.984170\pi\)
\(572\) 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 0.781554 0.623838i \(-0.214427\pi\)
−0.623838 + 0.781554i \(0.714427\pi\)
\(578\) −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 0.455634 0.890167i \(-0.349413\pi\)
−0.0504929 + 0.998724i \(0.516079\pi\)
\(588\) −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 0.477481 0.878642i \(-0.341550\pi\)
−0.878642 + 0.477481i \(0.841550\pi\)
\(594\) 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 \(0.255957\pi\)
−0.693750 + 0.720216i \(0.744043\pi\)
\(600\) 11.9844 13.1394i 0.489262 0.536415i
\(601\) −4.57192 7.91880i −0.186493 0.323015i 0.757586 0.652736i \(-0.226379\pi\)
−0.944078 + 0.329721i \(0.893045\pi\)
\(602\) −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 −0.589831 0.807527i \(-0.700806\pi\)
0.994254 + 0.107045i \(0.0341389\pi\)
\(608\) −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 0.841848 + 0.539715i \(0.181468\pi\)
−0.998919 + 0.0464829i \(0.985199\pi\)
\(614\) 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 0.892338 0.451367i \(-0.149064\pi\)
−0.998471 + 0.0552736i \(0.982397\pi\)
\(618\) 0.769095 3.50744i 0.0309375 0.141090i
\(619\) 18.1131 18.1131i 0.728027 0.728027i −0.242199 0.970226i \(-0.577869\pi\)
0.970226 + 0.242199i \(0.0778688\pi\)
\(620\) 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 −0.988855 0.148884i \(-0.952432\pi\)
0.781931 0.623364i \(-0.214235\pi\)
\(632\) 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 0.0338257 0.999428i \(-0.489231\pi\)
0.848617 0.529008i \(-0.177436\pi\)
\(642\) −5.70897 + 1.81452i −0.225315 + 0.0716136i
\(643\) 8.68244 2.32645i 0.342402 0.0917463i −0.0835204 0.996506i \(-0.526616\pi\)
0.425922 + 0.904760i \(0.359950\pi\)
\(644\) 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 0.949514 + 0.313725i \(0.101577\pi\)
−0.203063 + 0.979166i \(0.565090\pi\)
\(648\) −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 −0.779427 0.626493i \(-0.784490\pi\)
0.152846 + 0.988250i \(0.451156\pi\)
\(654\) −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 0.487400 0.873179i \(-0.337945\pi\)
−0.512495 + 0.858690i \(0.671279\pi\)
\(660\) 0.181161 + 3.94062i 0.00705170 + 0.153389i
\(661\) 27.0849 + 7.25737i 1.05348 + 0.282279i 0.743689 0.668526i \(-0.233075\pi\)
0.309790 + 0.950805i \(0.399741\pi\)
\(662\) −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 0.0381465 0.999272i \(-0.487855\pi\)
0.884468 + 0.466600i \(0.154521\pi\)
\(674\) 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 \(-0.772608\pi\)
0.755504 0.655145i \(-0.227392\pi\)
\(678\) 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 0.198990 0.980001i \(-0.436234\pi\)
0.662331 + 0.749211i \(0.269567\pi\)
\(684\) 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 −0.897191 0.441643i \(-0.854396\pi\)
0.997812 + 0.0661216i \(0.0210625\pi\)
\(692\) −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 0.992579 0.121600i \(-0.0388024\pi\)
−0.920399 + 0.390981i \(0.872136\pi\)
\(710\) 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 −0.459705 0.888072i \(-0.652045\pi\)
0.998945 0.0459198i \(-0.0146219\pi\)
\(720\) 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 \(0.0808594\pi\)
−0.967908 + 0.251304i \(0.919141\pi\)
\(728\) −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 0.400453 0.916317i \(-0.368853\pi\)
−0.916317 + 0.400453i \(0.868853\pi\)
\(734\) −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 0.223659 0.974667i \(-0.428200\pi\)
−0.293639 + 0.955916i \(0.594867\pi\)
\(740\) −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 0.363284 0.931678i \(-0.381655\pi\)
−0.151226 + 0.988499i \(0.548322\pi\)
\(744\) 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 −0.750395 0.660990i \(-0.770137\pi\)
0.197236 + 0.980356i \(0.436803\pi\)
\(752\) −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 0.784095 0.620641i \(-0.213128\pi\)
−0.929538 + 0.368726i \(0.879794\pi\)
\(758\) −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 −0.585062 0.810988i \(-0.698930\pi\)
−0.101185 + 0.994868i \(0.532263\pi\)
\(762\) 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 −0.411015 0.911629i \(-0.634826\pi\)
0.811764 0.583986i \(-0.198508\pi\)
\(770\) 5.01036 2.89273i