Properties

Label 78.2.k.a.71.4
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 71.4
Root \(0.500000 - 2.74530i\) of defining polynomial
Character \(\chi\) \(=\) 78.71
Dual form 78.2.k.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(0.933998 + 1.45865i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.76293 - 2.76293i) q^{5} +(1.27970 + 1.16721i) q^{6} +(-0.657464 + 2.45369i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.25529 + 2.72474i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(0.933998 + 1.45865i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.76293 - 2.76293i) q^{5} +(1.27970 + 1.16721i) q^{6} +(-0.657464 + 2.45369i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.25529 + 2.72474i) 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} +(1.44957 - 6.61072i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.547000 + 0.947432i) q^{17} +(-0.507306 + 2.95680i) q^{18} +(1.32717 + 0.355613i) q^{19} +(-3.77424 - 1.01130i) q^{20} +(-4.19313 + 1.33273i) q^{21} +(-0.291439 - 0.504787i) q^{22} +(-0.876460 + 1.51807i) q^{23} +(1.69185 + 0.370982i) 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} +(-0.310806 - 6.76064i) q^{30} +(6.49983 - 6.49983i) q^{31} +(0.258819 - 0.965926i) q^{32} +(0.680339 - 0.745907i) q^{33} +(0.773575 + 0.773575i) q^{34} +(8.59591 - 4.96285i) q^{35} +(0.275255 + 2.98735i) q^{36} +(-2.98942 + 0.801012i) q^{37} +1.37398 q^{38} +(3.82618 - 4.93562i) q^{39} -3.90738 q^{40} +(-5.11781 + 1.37131i) q^{41} +(-3.70532 + 2.37259i) q^{42} +(3.26299 - 1.88389i) q^{43} +(-0.412157 - 0.412157i) q^{44} +(10.9966 - 4.05999i) q^{45} +(-0.453689 + 1.69319i) q^{46} +(-5.51114 + 5.51114i) q^{47} +(1.73022 - 0.0795432i) 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} +(-4.78674 + 2.02166i) q^{54} +(-1.13876 + 1.97239i) q^{55} +(1.27012 + 2.19992i) q^{56} +(0.720857 + 2.26801i) q^{57} +(5.72147 + 1.53306i) q^{58} +(8.19009 + 2.19453i) q^{59} +(-2.05000 - 6.44983i) q^{60} +(-4.67266 - 8.09329i) q^{61} +(4.59607 - 7.96063i) q^{62} +(-5.86037 - 4.87153i) 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} +(-3.03294 + 0.139433i) q^{69} +(7.01853 - 7.01853i) q^{70} +(0.220122 - 0.821505i) q^{71} +(1.03906 + 2.81431i) q^{72} +(-5.18078 - 5.18078i) q^{73} +(-2.68024 + 1.54744i) q^{74} +(-14.9768 + 9.58993i) q^{75} +(1.32717 - 0.355613i) q^{76} +1.48065 q^{77} +(2.41837 - 5.75773i) q^{78} -13.1089 q^{79} +(-3.77424 + 1.01130i) q^{80} +(-5.84847 - 6.84072i) q^{81} +(-4.58850 + 2.64917i) q^{82} +(-5.15394 - 5.15394i) q^{83} +(-2.96499 + 3.25075i) q^{84} +(1.10637 - 4.12902i) q^{85} +(2.66422 - 2.66422i) q^{86} +(0.471158 + 10.2486i) 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} +(15.5518 + 3.41012i) q^{93} +(-3.89697 + 6.74974i) q^{94} +(-2.68434 - 4.64941i) q^{95} +(1.65068 - 0.524648i) q^{96} +(-0.592450 - 0.158747i) q^{97} +(0.528506 + 0.141613i) q^{98} +(1.72345 + 0.295697i) 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
\(3\) 0.933998 + 1.45865i 0.539244 + 0.842150i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −2.76293 2.76293i −1.23562 1.23562i −0.961773 0.273849i \(-0.911703\pi\)
−0.273849 0.961773i \(-0.588297\pi\)
\(6\) 1.27970 + 1.16721i 0.522435 + 0.476510i
\(7\) −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
\(9\) −1.25529 + 2.72474i −0.418432 + 0.908248i
\(10\) −3.38389 1.95369i −1.07008 0.617811i
\(11\) −0.150860 0.563016i −0.0454859 0.169756i 0.939446 0.342696i \(-0.111340\pi\)
−0.984932 + 0.172940i \(0.944673\pi\)
\(12\) 1.53819 + 0.796225i 0.444037 + 0.229850i
\(13\) −1.20856 3.39697i −0.335195 0.942149i
\(14\) 2.54025i 0.678909i
\(15\) 1.44957 6.61072i 0.374277 1.70688i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.547000 + 0.947432i 0.132667 + 0.229786i 0.924704 0.380687i \(-0.124313\pi\)
−0.792037 + 0.610473i \(0.790979\pi\)
\(18\) −0.507306 + 2.95680i −0.119573 + 0.696923i
\(19\) 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
\(21\) −4.19313 + 1.33273i −0.915017 + 0.290826i
\(22\) −0.291439 0.504787i −0.0621349 0.107621i
\(23\) −0.876460 + 1.51807i −0.182755 + 0.316540i −0.942818 0.333309i \(-0.891835\pi\)
0.760063 + 0.649849i \(0.225168\pi\)
\(24\) 1.69185 + 0.370982i 0.345348 + 0.0757264i
\(25\) 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 \(-0.147975\pi\)
0.0586892 + 0.998276i \(0.481308\pi\)
\(30\) −0.310806 6.76064i −0.0567451 1.23432i
\(31\) 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
\(33\) 0.680339 0.745907i 0.118432 0.129846i
\(34\) 0.773575 + 0.773575i 0.132667 + 0.132667i
\(35\) 8.59591 4.96285i 1.45297 0.838875i
\(36\) 0.275255 + 2.98735i 0.0458759 + 0.497891i
\(37\) −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
\(39\) 3.82618 4.93562i 0.612679 0.790332i
\(40\) −3.90738 −0.617811
\(41\) −5.11781 + 1.37131i −0.799268 + 0.214163i −0.635262 0.772296i \(-0.719108\pi\)
−0.164005 + 0.986459i \(0.552441\pi\)
\(42\) −3.70532 + 2.37259i −0.571743 + 0.366098i
\(43\) 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
\(45\) 10.9966 4.05999i 1.63927 0.605228i
\(46\) −0.453689 + 1.69319i −0.0668928 + 0.249647i
\(47\) −5.51114 + 5.51114i −0.803883 + 0.803883i −0.983700 0.179817i \(-0.942449\pi\)
0.179817 + 0.983700i \(0.442449\pi\)
\(48\) 1.73022 0.0795432i 0.249736 0.0114811i
\(49\) 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 \(-0.0670490\pi\)
\(54\) −4.78674 + 2.02166i −0.651393 + 0.275113i
\(55\) −1.13876 + 1.97239i −0.153551 + 0.265957i
\(56\) 1.27012 + 2.19992i 0.169727 + 0.293976i
\(57\) 0.720857 + 2.26801i 0.0954799 + 0.300405i
\(58\) 5.72147 + 1.53306i 0.751265 + 0.201301i
\(59\) 8.19009 + 2.19453i 1.06626 + 0.285703i 0.748955 0.662621i \(-0.230556\pi\)
0.317304 + 0.948324i \(0.397223\pi\)
\(60\) −2.05000 6.44983i −0.264653 0.832670i
\(61\) −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
\(63\) −5.86037 4.87153i −0.738337 0.613755i
\(64\) 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
\(69\) −3.03294 + 0.139433i −0.365124 + 0.0167858i
\(70\) 7.01853 7.01853i 0.838875 0.838875i
\(71\) 0.220122 0.821505i 0.0261236 0.0974947i −0.951633 0.307237i \(-0.900596\pi\)
0.977757 + 0.209742i \(0.0672624\pi\)
\(72\) 1.03906 + 2.81431i 0.122454 + 0.331670i
\(73\) −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
\(75\) −14.9768 + 9.58993i −1.72937 + 1.10735i
\(76\) 1.32717 0.355613i 0.152236 0.0407916i
\(77\) 1.48065 0.168736
\(78\) 2.41837 5.75773i 0.273826 0.651935i
\(79\) −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
\(81\) −5.84847 6.84072i −0.649830 0.760080i
\(82\) −4.58850 + 2.64917i −0.506715 + 0.292552i
\(83\) −5.15394 5.15394i −0.565719 0.565719i 0.365208 0.930926i \(-0.380998\pi\)
−0.930926 + 0.365208i \(0.880998\pi\)
\(84\) −2.96499 + 3.25075i −0.323507 + 0.354686i
\(85\) 1.10637 4.12902i 0.120002 0.447855i
\(86\) 2.66422 2.66422i 0.287290 0.287290i
\(87\) 0.471158 + 10.2486i 0.0505135 + 1.09877i
\(88\) −0.504787 0.291439i −0.0538104 0.0310675i
\(89\) −2.50797 9.35988i −0.265844 0.992145i −0.961731 0.273994i \(-0.911655\pi\)
0.695887 0.718151i \(-0.255011\pi\)
\(90\) 9.57108 6.76778i 1.00888 0.713386i
\(91\) 9.12969 0.732051i 0.957051 0.0767398i
\(92\) 1.75292i 0.182755i
\(93\) 15.5518 + 3.41012i 1.61264 + 0.353613i
\(94\) −3.89697 + 6.74974i −0.401941 + 0.696183i
\(95\) −2.68434 4.64941i −0.275407 0.477019i
\(96\) 1.65068 0.524648i 0.168472 0.0535466i
\(97\) −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
\(99\) 1.72345 + 0.295697i 0.173213 + 0.0297187i
\(100\) 5.13380 + 8.89201i 0.513380 + 0.889201i
\(101\) 2.91789 5.05394i 0.290341 0.502886i −0.683549 0.729904i \(-0.739565\pi\)
0.973890 + 0.227019i \(0.0728979\pi\)
\(102\) −0.405854 + 1.85089i −0.0401856 + 0.183265i
\(103\) 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 0.637742 0.770250i \(-0.279869\pi\)
−0.348185 + 0.937426i \(0.613202\pi\)
\(108\) −4.10039 + 3.19168i −0.394560 + 0.307119i
\(109\) −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
\(111\) −3.96050 3.61236i −0.375914 0.342870i
\(112\) 1.79623 + 1.79623i 0.169727 + 0.169727i
\(113\) −9.43719 + 5.44856i −0.887776 + 0.512558i −0.873214 0.487336i \(-0.837969\pi\)
−0.0145614 + 0.999894i \(0.504635\pi\)
\(114\) 1.28330 + 2.00416i 0.120192 + 0.187706i
\(115\) 6.61594 1.77274i 0.616940 0.165308i
\(116\) 5.92330 0.549965
\(117\) 10.7730 + 0.971173i 0.995961 + 0.0897850i
\(118\) 8.47900 0.780556
\(119\) −2.68434 + 0.719266i −0.246073 + 0.0659350i
\(120\) −3.64948 5.69948i −0.333151 0.520289i
\(121\) 9.23205 5.33013i 0.839277 0.484557i
\(122\) −6.60814 6.60814i −0.598273 0.598273i
\(123\) −6.78029 6.18427i −0.611358 0.557617i
\(124\) 2.37910 8.87893i 0.213650 0.797352i
\(125\) 14.5541 14.5541i 1.30175 1.30175i
\(126\) −6.92152 3.18876i −0.616618 0.284077i
\(127\) 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 \(-0.987234\pi\)
0.999196 0.0400955i \(-0.0127662\pi\)
\(132\) 0.216237 0.986144i 0.0188210 0.0858328i
\(133\) −1.74513 + 3.02265i −0.151322 + 0.262097i
\(134\) 3.30069 + 5.71696i 0.285136 + 0.493870i
\(135\) 16.1929 + 12.2481i 1.39366 + 1.05415i
\(136\) 1.05672 + 0.283148i 0.0906133 + 0.0242797i
\(137\) 8.32493 + 2.23066i 0.711247 + 0.190578i 0.596263 0.802789i \(-0.296652\pi\)
0.114984 + 0.993367i \(0.463318\pi\)
\(138\) −2.89351 + 0.919666i −0.246312 + 0.0782871i
\(139\) −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
\(141\) −13.1862 2.89141i −1.11048 0.243500i
\(142\) 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
\(147\) 0.0435221 + 0.946692i 0.00358964 + 0.0780818i
\(148\) −2.18840 + 2.18840i −0.179886 + 0.179886i
\(149\) 2.03304 7.58742i 0.166553 0.621585i −0.831284 0.555848i \(-0.812394\pi\)
0.997837 0.0657369i \(-0.0209398\pi\)
\(150\) −11.9844 + 13.1394i −0.978524 + 1.07283i
\(151\) 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
\(153\) −3.26816 + 0.301129i −0.264215 + 0.0243449i
\(154\) 1.43020 0.383221i 0.115249 0.0308808i
\(155\) −35.9172 −2.88494
\(156\) 0.845754 6.18746i 0.0677145 0.495394i
\(157\) −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
\(159\) 4.44062 2.84341i 0.352164 0.225497i
\(160\) −3.38389 + 1.95369i −0.267520 + 0.154453i
\(161\) −3.14864 3.14864i −0.248148 0.248148i
\(162\) −7.41970 5.09393i −0.582946 0.400217i
\(163\) −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
\(165\) −3.94062 + 0.181161i −0.306777 + 0.0141034i
\(166\) −6.31226 3.64439i −0.489927 0.282859i
\(167\) 6.32673 + 23.6117i 0.489577 + 1.82713i 0.558499 + 0.829505i \(0.311377\pi\)
−0.0689223 + 0.997622i \(0.521956\pi\)
\(168\) −2.02261 + 3.90738i −0.156048 + 0.301461i
\(169\) −10.0788 + 8.21088i −0.775289 + 0.631606i
\(170\) 4.27467i 0.327852i
\(171\) −2.63494 + 3.16979i −0.201499 + 0.242400i
\(172\) 1.88389 3.26299i 0.143645 0.248801i
\(173\) 10.3837 + 17.9850i 0.789456 + 1.36738i 0.926301 + 0.376785i \(0.122971\pi\)
−0.136845 + 0.990593i \(0.543696\pi\)
\(174\) 3.10764 + 9.77747i 0.235590 + 0.741228i
\(175\) −25.1935 6.75058i −1.90445 0.510296i
\(176\) −0.563016 0.150860i −0.0424389 0.0113715i
\(177\) 4.44849 + 13.9961i 0.334369 + 1.05201i
\(178\) −4.84503 8.39184i −0.363150 0.628995i
\(179\) 7.00018 12.1247i 0.523218 0.906241i −0.476416 0.879220i \(-0.658065\pi\)
0.999635 0.0270211i \(-0.00860212\pi\)
\(180\) 7.49333 9.01435i 0.558520 0.671890i
\(181\) 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
\(186\) 15.9045 0.731173i 1.16617 0.0536122i
\(187\) 0.450899 0.450899i 0.0329730 0.0329730i
\(188\) −2.01722 + 7.52836i −0.147121 + 0.549062i
\(189\) 1.63226 13.0982i 0.118729 0.952753i
\(190\) −3.79623 3.79623i −0.275407 0.275407i
\(191\) 20.4783 11.8231i 1.48176 0.855493i 0.481972 0.876187i \(-0.339921\pi\)
0.999786 + 0.0206939i \(0.00658754\pi\)
\(192\) 1.45865 0.933998i 0.105269 0.0674055i
\(193\) 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
\(195\) −24.2083 + 3.06533i −1.73359 + 0.219513i
\(196\) 0.547150 0.0390821
\(197\) 3.34959 0.897520i 0.238649 0.0639457i −0.137512 0.990500i \(-0.543911\pi\)
0.376161 + 0.926554i \(0.377244\pi\)
\(198\) 1.74126 0.160440i 0.123746 0.0114020i
\(199\) −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
\(201\) −7.70517 + 8.44777i −0.543481 + 0.595860i
\(202\) 1.51041 5.63694i 0.106272 0.396613i
\(203\) −10.6396 + 10.6396i −0.746752 + 0.746752i
\(204\) 0.0870203 + 1.89286i 0.00609264 + 0.132527i
\(205\) 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
\(210\) 16.7928 + 3.68226i 1.15882 + 0.254100i
\(211\) 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
\(213\) 1.40388 0.446205i 0.0961921 0.0305734i
\(214\) 3.34071 + 0.895141i 0.228366 + 0.0611906i
\(215\) −14.2205 3.81037i −0.969829 0.259865i
\(216\) −3.13461 + 4.14418i −0.213283 + 0.281976i
\(217\) 11.6752 + 20.2220i 0.792561 + 1.37276i
\(218\) −7.77116 + 13.4601i −0.526330 + 0.911630i
\(219\) 2.71809 12.3958i 0.183671 0.837628i
\(220\) 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
\(225\) −27.9766 12.8889i −1.86511 0.859258i
\(226\) −7.70543 + 7.70543i −0.512558 + 0.512558i
\(227\) −1.38733 + 5.17758i −0.0920803 + 0.343648i −0.996561 0.0828671i \(-0.973592\pi\)
0.904480 + 0.426515i \(0.140259\pi\)
\(228\) 1.75828 + 1.60372i 0.116445 + 0.106209i
\(229\) 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
\(231\) 1.38293 + 2.15975i 0.0909899 + 0.142101i
\(232\) 5.72147 1.53306i 0.375633 0.100650i
\(233\) −3.83663 −0.251346 −0.125673 0.992072i \(-0.540109\pi\)
−0.125673 + 0.992072i \(0.540109\pi\)
\(234\) 10.6572 1.85017i 0.696686 0.120949i
\(235\) 30.4538 1.98659
\(236\) 8.19009 2.19453i 0.533129 0.142852i
\(237\) −12.2437 19.1212i −0.795311 1.24205i
\(238\) −2.40671 + 1.38951i −0.156004 + 0.0900689i
\(239\) −0.751524 0.751524i −0.0486121 0.0486121i 0.682383 0.730995i \(-0.260944\pi\)
−0.730995 + 0.682383i \(0.760944\pi\)
\(240\) −5.00027 4.56072i −0.322766 0.294393i
\(241\) −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
\(243\) 4.51572 14.9201i 0.289684 0.957122i
\(244\) −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
\(249\) 2.70400 12.3315i 0.171359 0.781480i
\(250\) 10.2913 17.8250i 0.650877 1.12735i
\(251\) 7.56320 + 13.0998i 0.477385 + 0.826855i 0.999664 0.0259196i \(-0.00825138\pi\)
−0.522279 + 0.852775i \(0.674918\pi\)
\(252\) −7.51099 1.28868i −0.473148 0.0811793i
\(253\) 0.986923 + 0.264445i 0.0620473 + 0.0166255i
\(254\) 8.99591 + 2.41045i 0.564453 + 0.151245i
\(255\) 7.05612 2.24270i 0.441871 0.140443i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 0.178601 0.309345i 0.0111408 0.0192964i −0.860401 0.509617i \(-0.829787\pi\)
0.871542 + 0.490321i \(0.163120\pi\)
\(258\) 6.37453 + 1.39778i 0.396861 + 0.0870218i
\(259\) 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 \(-0.354427\pi\)
−0.556250 + 0.831015i \(0.687760\pi\)
\(264\) −0.0463639 1.00851i −0.00285350 0.0620694i
\(265\) −8.41133 + 8.41133i −0.516704 + 0.516704i
\(266\) −0.903345 + 3.37133i −0.0553876 + 0.206709i
\(267\) 11.3103 12.4004i 0.692180 0.758889i
\(268\) 4.66788 + 4.66788i 0.285136 + 0.285136i
\(269\) −21.2380 + 12.2618i −1.29490 + 0.747612i −0.979519 0.201352i \(-0.935467\pi\)
−0.315384 + 0.948964i \(0.602133\pi\)
\(270\) 18.8112 + 7.63973i 1.14481 + 0.464939i
\(271\) −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
\(273\) 9.59491 + 12.6332i 0.580710 + 0.764599i
\(274\) 8.61860 0.520669
\(275\) 5.78083 1.54897i 0.348597 0.0934063i
\(276\) −2.55689 + 1.63722i −0.153907 + 0.0985493i
\(277\) −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
\(279\) 9.55117 + 25.8696i 0.571814 + 1.54877i
\(280\) 2.56896 9.58749i 0.153525 0.572962i
\(281\) 11.2782 11.2782i 0.672801 0.672801i −0.285560 0.958361i \(-0.592180\pi\)
0.958361 + 0.285560i \(0.0921797\pi\)
\(282\) −13.4852 + 0.619955i −0.803035 + 0.0369178i
\(283\) 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
\(288\) 2.30701 + 1.91774i 0.135942 + 0.113004i
\(289\) 7.90158 13.6859i 0.464799 0.805055i
\(290\) −11.5723 20.0438i −0.679548 1.17701i
\(291\) −0.321793 1.01244i −0.0188638 0.0593505i
\(292\) −7.07708 1.89630i −0.414155 0.110972i
\(293\) −20.6276 5.52716i −1.20508 0.322900i −0.400250 0.916406i \(-0.631077\pi\)
−0.804830 + 0.593506i \(0.797743\pi\)
\(294\) 0.287061 + 0.903170i 0.0167417 + 0.0526739i
\(295\) −16.5653 28.6920i −0.964471 1.67051i
\(296\) −1.54744 + 2.68024i −0.0899429 + 0.155786i
\(297\) 1.17838 + 2.79008i 0.0683766 + 0.161897i
\(298\) 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
\(303\) 10.0972 0.464197i 0.580070 0.0266674i
\(304\) 0.971553 0.971553i 0.0557224 0.0557224i
\(305\) −9.45097 + 35.2715i −0.541161 + 2.01964i
\(306\) −3.07886 + 1.13673i −0.176007 + 0.0649825i
\(307\) −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
\(309\) −3.02397 + 1.93630i −0.172027 + 0.110152i
\(310\) −34.6933 + 9.29605i −1.97045 + 0.527980i
\(311\) 32.8464 1.86255 0.931275 0.364317i \(-0.118697\pi\)
0.931275 + 0.364317i \(0.118697\pi\)
\(312\) −0.784497 6.19553i −0.0444134 0.350753i
\(313\) 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
\(315\) 2.73210 + 29.6515i 0.153936 + 1.67067i
\(316\) −11.3526 + 6.55443i −0.638634 + 0.368716i
\(317\) −17.5500 17.5500i −0.985704 0.985704i 0.0141948 0.999899i \(-0.495481\pi\)
−0.999899 + 0.0141948i \(0.995481\pi\)
\(318\) 3.55338 3.89584i 0.199264 0.218468i
\(319\) 0.893587 3.33491i 0.0500313 0.186719i
\(320\) −2.76293 + 2.76293i −0.154453 + 0.154453i
\(321\) 0.275105 + 5.98408i 0.0153549 + 0.333999i
\(322\) −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
\(327\) −26.2954 5.76592i −1.45414 0.318856i
\(328\) −2.64917 + 4.58850i −0.146276 + 0.253358i
\(329\) −9.89925 17.1460i −0.545763 0.945290i
\(330\) −3.75946 + 1.19490i −0.206952 + 0.0657769i
\(331\) 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
\(333\) 1.57005 9.15090i 0.0860380 0.501466i
\(334\) 12.2223 + 21.1697i 0.668775 + 1.15835i
\(335\) 12.8970 22.3383i 0.704640 1.22047i
\(336\) −0.942385 + 4.29773i −0.0514113 + 0.234460i
\(337\) 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
\(342\) −1.72475 + 3.74375i −0.0932640 + 0.202439i
\(343\) −13.5564 + 13.5564i −0.731976 + 0.731976i
\(344\) 0.975173 3.63939i 0.0525778 0.196223i
\(345\) 8.76507 + 7.99458i 0.471895 + 0.430414i
\(346\) 14.6847 + 14.6847i 0.789456 + 0.789456i
\(347\) 9.39077 5.42177i 0.504123 0.291056i −0.226292 0.974060i \(-0.572660\pi\)
0.730415 + 0.683004i \(0.239327\pi\)
\(348\) 5.53235 + 8.63999i 0.296565 + 0.463152i
\(349\) 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
\(351\) 8.64533 + 16.6210i 0.461454 + 0.887164i
\(352\) −0.582877 −0.0310675
\(353\) −1.80378 + 0.483321i −0.0960054 + 0.0257246i −0.306502 0.951870i \(-0.599159\pi\)
0.210497 + 0.977595i \(0.432492\pi\)
\(354\) 7.91937 + 12.3679i 0.420910 + 0.657345i
\(355\) −2.87795 + 1.66158i −0.152745 + 0.0881876i
\(356\) −6.85191 6.85191i −0.363150 0.363150i
\(357\) −3.55632 3.24370i −0.188220 0.171675i
\(358\) 3.62356 13.5233i 0.191511 0.714730i
\(359\) −12.1336 + 12.1336i −0.640387 + 0.640387i −0.950650 0.310264i \(-0.899583\pi\)
0.310264 + 0.950650i \(0.399583\pi\)
\(360\) 4.90491 10.6466i 0.258512 0.561126i
\(361\) −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
\(366\) 3.46695 15.8109i 0.181220 0.826451i
\(367\) 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
\(369\) 2.68788 15.6661i 0.139926 0.815546i
\(370\) 11.6808 + 3.12986i 0.607255 + 0.162713i
\(371\) 7.46988 + 2.00155i 0.387817 + 0.103915i
\(372\) 15.1733 4.82264i 0.786699 0.250042i
\(373\) 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
\(375\) 34.8227 + 7.63575i 1.79823 + 0.394308i
\(376\) 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
\(381\) 0.740806 + 16.1140i 0.0379526 + 0.825545i
\(382\) 16.7205 16.7205i 0.855493 0.855493i
\(383\) 9.53291 35.5773i 0.487109 1.81792i −0.0832617 0.996528i \(-0.526534\pi\)
0.570371 0.821387i \(-0.306800\pi\)
\(384\) 1.16721 1.27970i 0.0595638 0.0653043i
\(385\) −4.09094 4.09094i −0.208494 0.208494i
\(386\) 9.17870 5.29932i 0.467183 0.269728i
\(387\) 1.03710 + 11.2557i 0.0527188 + 0.572157i
\(388\) −0.592450 + 0.158747i −0.0300771 + 0.00805914i
\(389\) 14.1012 0.714961 0.357481 0.933921i \(-0.383636\pi\)
0.357481 + 0.933921i \(0.383636\pi\)
\(390\) −22.5900 + 9.22644i −1.14389 + 0.467199i
\(391\) −1.91770 −0.0969820
\(392\) 0.528506 0.141613i 0.0266936 0.00715253i
\(393\) 1.33879 0.857250i 0.0675328 0.0432425i
\(394\) 3.00316 1.73388i 0.151297 0.0873514i
\(395\) 36.2189 + 36.2189i 1.82237 + 1.82237i
\(396\) 1.64040 0.605643i 0.0824332 0.0304347i
\(397\) −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
\(399\) −6.03892 + 0.277626i −0.302324 + 0.0138987i
\(400\) 8.89201 + 5.13380i 0.444600 + 0.256690i
\(401\) −5.65677 21.1113i −0.282485 1.05425i −0.950657 0.310243i \(-0.899590\pi\)
0.668172 0.744007i \(-0.267077\pi\)
\(402\) −5.25618 + 10.1542i −0.262154 + 0.506444i
\(403\) −29.9351 14.2243i −1.49118 0.708561i
\(404\) 5.83579i 0.290341i
\(405\) −2.74151 + 35.0594i −0.136227 + 1.74211i
\(406\) −7.52332 + 13.0308i −0.373376 + 0.646706i
\(407\) 0.901965 + 1.56225i 0.0447088 + 0.0774378i
\(408\) 0.573965 + 1.80584i 0.0284155 + 0.0894026i
\(409\) 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
\(411\) 4.52173 + 14.2266i 0.223041 + 0.701744i
\(412\) 1.03657 + 1.79539i 0.0510680 + 0.0884523i
\(413\) −10.7694 + 18.6531i −0.529926 + 0.917860i
\(414\) −4.04400 3.36164i −0.198752 0.165216i
\(415\) 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 \(-0.636866\pi\)
−0.995621 + 0.0934844i \(0.970199\pi\)
\(420\) 17.1737 0.789523i 0.837990 0.0385248i
\(421\) 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
\(423\) −8.09835 21.9346i −0.393755 1.06650i
\(424\) −2.15268 2.15268i −0.104543 0.104543i
\(425\) −9.72786 + 5.61638i −0.471870 + 0.272435i
\(426\) 1.24056 0.794351i 0.0601051 0.0384864i
\(427\) 22.9305 6.14422i 1.10969 0.297339i
\(428\) 3.45856 0.167176
\(429\) −3.35605 1.40961i −0.162032 0.0680567i
\(430\) −14.7221 −0.709964
\(431\) −20.9452 + 5.61224i −1.00889 + 0.270332i −0.725167 0.688573i \(-0.758238\pi\)
−0.283727 + 0.958905i \(0.591571\pi\)
\(432\) −1.95521 + 4.81427i −0.0940699 + 0.231627i
\(433\) 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
\(435\) 27.0145 29.6181i 1.29525 1.42008i
\(436\) −4.02265 + 15.0127i −0.192650 + 0.718980i
\(437\) −1.70306 + 1.70306i −0.0814682 + 0.0814682i
\(438\) −0.582792 12.6769i −0.0278469 0.605725i
\(439\) −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 \(-0.899776\pi\)
0.950839 0.309687i \(-0.100224\pi\)
\(444\) −5.23607 1.14814i −0.248493 0.0544884i
\(445\) −18.9314 + 32.7901i −0.897433 + 1.55440i
\(446\) 9.53204 + 16.5100i 0.451355 + 0.781770i
\(447\) 12.9662 4.12114i 0.613281 0.194923i
\(448\) 2.45369 + 0.657464i 0.115926 + 0.0310623i
\(449\) 18.3916 + 4.92801i 0.867953 + 0.232567i 0.665202 0.746663i \(-0.268345\pi\)
0.202750 + 0.979230i \(0.435012\pi\)
\(450\) −30.3592 5.20882i −1.43115 0.245546i
\(451\) 1.54414 + 2.67453i 0.0727109 + 0.125939i
\(452\) −5.44856 + 9.43719i −0.256279 + 0.443888i
\(453\) −5.38288 + 24.5485i −0.252910 + 1.15339i
\(454\) 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
\(459\) −3.49169 4.48583i −0.162978 0.209381i
\(460\) 4.84320 4.84320i 0.225816 0.225816i
\(461\) −0.395195 + 1.47489i −0.0184061 + 0.0686924i −0.974518 0.224309i \(-0.927987\pi\)
0.956112 + 0.293002i \(0.0946541\pi\)
\(462\) 1.89479 + 1.72823i 0.0881535 + 0.0804044i
\(463\) −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
\(465\) −33.5466 52.3905i −1.55569 2.42955i
\(466\) −3.70590 + 0.992992i −0.171672 + 0.0459995i
\(467\) −11.2935 −0.522601 −0.261300 0.965258i \(-0.584151\pi\)
−0.261300 + 0.965258i \(0.584151\pi\)
\(468\) 9.81525 4.54542i 0.453710 0.210112i
\(469\) −16.7691 −0.774326
\(470\) 29.4162 7.88203i 1.35687 0.363571i
\(471\) −6.27224 9.79549i −0.289009 0.451352i
\(472\) 7.34303 4.23950i 0.337990 0.195139i
\(473\) −1.55291 1.55291i −0.0714031 0.0714031i
\(474\) −16.7754 15.3008i −0.770519 0.702787i
\(475\) −3.65130 + 13.6268i −0.167533 + 0.625241i
\(476\) −1.96507 + 1.96507i −0.0900689 + 0.0900689i
\(477\) 8.29507 + 3.82155i 0.379805 + 0.174977i
\(478\) −0.920426 0.531408i −0.0420993 0.0243060i
\(479\) 7.52517 + 28.0843i 0.343834 + 1.28320i 0.893969 + 0.448129i \(0.147910\pi\)
−0.550135 + 0.835076i \(0.685424\pi\)
\(480\) −6.01029 3.11115i −0.274331 0.142004i
\(481\) 6.33390 + 9.18688i 0.288801 + 0.418885i
\(482\) 27.9636i 1.27371i
\(483\) 1.65193 7.53358i 0.0751653 0.342790i
\(484\) 5.33013 9.23205i 0.242279 0.419639i
\(485\) 1.19829 + 2.07551i 0.0544118 + 0.0942440i
\(486\) 0.500258 15.5804i 0.0226921 0.706743i
\(487\) 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
\(489\) −2.59924 + 0.826137i −0.117542 + 0.0373592i
\(490\) −1.06896 1.85149i −0.0482907 0.0836420i
\(491\) −18.4575 + 31.9694i −0.832978 + 1.44276i 0.0626890 + 0.998033i \(0.480032\pi\)
−0.895667 + 0.444726i \(0.853301\pi\)
\(492\) −8.96403 1.96559i −0.404130 0.0886157i
\(493\) 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
\(498\) −0.579773 12.6112i −0.0259802 0.565122i
\(499\) 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
\(501\) −28.5319 + 31.2817i −1.27471 + 1.39756i
\(502\) 10.6960 + 10.6960i 0.477385 + 0.477385i
\(503\) −20.2177 + 11.6727i −0.901464 + 0.520460i −0.877675 0.479257i \(-0.840906\pi\)
−0.0237889 + 0.999717i \(0.507573\pi\)
\(504\) −7.58859 + 0.699216i −0.338023 + 0.0311455i
\(505\) −22.0256 + 5.90175i −0.980128 + 0.262625i
\(506\) 1.02174 0.0454218
\(507\) −21.3903 7.03239i −0.949977 0.312319i
\(508\) 9.31325 0.413209
\(509\) 18.0113 4.82612i 0.798338 0.213914i 0.163484 0.986546i \(-0.447727\pi\)
0.634854 + 0.772632i \(0.281060\pi\)
\(510\) 6.23523 3.99254i 0.276101 0.176792i
\(511\) 16.1182 9.30585i 0.713028 0.411667i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −7.08463 0.882866i −0.312794 0.0389795i
\(514\) 0.0924504 0.345030i 0.00407781 0.0152186i
\(515\) 5.72793 5.72793i 0.252403 0.252403i
\(516\) 6.51910 0.299701i 0.286987 0.0131936i
\(517\) 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 \(0.854156\pi\)
\(522\) −11.3593 + 13.6651i −0.497185 + 0.598105i
\(523\) −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
\(525\) −13.6840 43.0534i −0.597218 1.87901i
\(526\) −2.07459 0.555884i −0.0904563 0.0242377i
\(527\) 9.71355 + 2.60274i 0.423129 + 0.113377i
\(528\) −0.305805 0.962144i −0.0133085 0.0418719i
\(529\) 9.96363 + 17.2575i 0.433201 + 0.750327i
\(530\) −5.94771 + 10.3017i −0.258352 + 0.447478i
\(531\) −16.2605 + 19.5611i −0.705646 + 0.848880i
\(532\) 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
\(537\) 24.2238 1.11363i 1.04533 0.0480569i
\(538\) −17.3407 + 17.3407i −0.747612 + 0.747612i
\(539\) 0.0825429 0.308054i 0.00355537 0.0132688i
\(540\) 20.1475 + 2.51072i 0.867010 + 0.108044i
\(541\) −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
\(543\) 37.2546 23.8548i 1.59875 1.02371i
\(544\) 1.05672 0.283148i 0.0453066 0.0121399i
\(545\) 60.7298 2.60138
\(546\) 12.5377 + 9.71943i 0.536564 + 0.415953i
\(547\) −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
\(549\) 27.9177 2.57235i 1.19150 0.109785i
\(550\) 5.18295 2.99238i 0.221002 0.127595i
\(551\) 5.75480 + 5.75480i 0.245163 + 0.245163i
\(552\) −2.04602 + 2.24321i −0.0870845 + 0.0954773i
\(553\) 8.61860 32.1651i 0.366500 1.36780i
\(554\) −13.1878 + 13.1878i −0.560295 + 0.560295i
\(555\) 0.961903 + 20.9233i 0.0408305 + 0.888145i
\(556\) −2.86936 1.65662i −0.121688 0.0702565i
\(557\) 3.19111 + 11.9094i 0.135212 + 0.504616i 0.999997 + 0.00247467i \(0.000787714\pi\)
−0.864785 + 0.502142i \(0.832546\pi\)
\(558\) 15.9213 + 22.5161i 0.674001 + 0.953181i
\(559\) −10.3430 8.80748i −0.437464 0.372517i
\(560\) 9.92570i 0.419438i
\(561\) 1.07884 + 0.236563i 0.0455487 + 0.00998771i
\(562\) 7.97489 13.8129i 0.336400 0.582662i
\(563\) −9.86628 17.0889i −0.415814 0.720211i 0.579700 0.814830i \(-0.303170\pi\)
−0.995514 + 0.0946194i \(0.969837\pi\)
\(564\) −12.8653 + 4.08907i −0.541726 + 0.172181i
\(565\) 41.1283 + 11.0203i 1.73028 + 0.463628i
\(566\) 4.55446 + 1.22036i 0.191438 + 0.0512958i
\(567\) 20.6302 9.85280i 0.866385 0.413779i
\(568\) −0.425242 0.736541i −0.0178428 0.0309046i
\(569\) 17.4503 30.2248i 0.731555 1.26709i −0.224663 0.974436i \(-0.572128\pi\)
0.956218 0.292654i \(-0.0945384\pi\)
\(570\) 1.99168 9.08302i 0.0834223 0.380446i
\(571\) 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
\(576\) 2.72474 + 1.25529i 0.113531 + 0.0523040i
\(577\) 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
\(579\) 13.5631 + 12.3708i 0.563662 + 0.514114i
\(580\) −16.3657 16.3657i −0.679548 0.679548i
\(581\) 16.0347 9.25764i 0.665232 0.384072i
\(582\) −0.572868 0.894660i −0.0237461 0.0370849i
\(583\) −1.71402 + 0.459269i −0.0709873 + 0.0190210i
\(584\) −7.32673 −0.303182
\(585\) −27.0817 32.4483i −1.11969 1.34157i
\(586\) −21.3553 −0.882179
\(587\) −9.81579 + 2.63013i −0.405141 + 0.108557i −0.455634 0.890167i \(-0.650587\pi\)
0.0504929 + 0.998724i \(0.483921\pi\)
\(588\) 0.511037 + 0.798098i 0.0210748 + 0.0329130i
\(589\) 10.9378 6.31493i 0.450683 0.260202i
\(590\) −23.4269 23.4269i −0.964471 0.964471i
\(591\) 4.43768 + 4.04759i 0.182542 + 0.166495i
\(592\) −0.801012 + 2.98942i −0.0329214 + 0.122864i
\(593\) 9.76893 9.76893i 0.401162 0.401162i −0.477481 0.878642i \(-0.658450\pi\)
0.878642 + 0.477481i \(0.158450\pi\)
\(594\) 1.86036 + 2.39003i 0.0763313 + 0.0980639i
\(595\) 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 \(0.744043\pi\)
\(600\) −3.80910 + 17.3713i −0.155506 + 0.709180i
\(601\) −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
\(603\) −19.5189 3.34892i −0.794872 0.136378i
\(604\) 14.0154 + 3.75542i 0.570279 + 0.152806i
\(605\) −40.2343 10.7808i −1.63576 0.438300i
\(606\) 9.63301 3.06173i 0.391314 0.124374i
\(607\) 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
\(609\) −25.4567 5.58203i −1.03156 0.226195i
\(610\) 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
\(615\) 1.64676 + 35.8202i 0.0664036 + 1.44441i
\(616\) 1.04698 1.04698i 0.0421840 0.0421840i
\(617\) 2.63629 9.83876i 0.106133 0.396094i −0.892338 0.451367i \(-0.850936\pi\)
0.998471 + 0.0552736i \(0.0176031\pi\)
\(618\) −2.41978 + 2.65298i −0.0973377 + 0.106719i
\(619\) 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
\(621\) 3.42732 8.43903i 0.137534 0.338647i
\(622\) 31.7272 8.50128i 1.27215 0.340870i
\(623\) 24.6151 0.986185
\(624\) −2.36129 5.78138i −0.0945271 0.231440i
\(625\) −29.0857 −1.16343
\(626\) 10.6859 2.86328i 0.427095 0.114440i
\(627\) 1.16818 0.748005i 0.0466525 0.0298725i
\(628\) −5.81577 + 3.35773i −0.232074 + 0.133988i
\(629\) −2.39412 2.39412i −0.0954596 0.0954596i
\(630\) 10.3134 + 27.9340i 0.410895 + 1.11292i
\(631\) −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
\(633\) 8.57846 0.394376i 0.340963 0.0156750i
\(634\) −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
\(639\) 1.96207 + 1.63101i 0.0776184 + 0.0645216i
\(640\) −1.95369 + 3.38389i −0.0772263 + 0.133760i
\(641\) −22.3417 38.6969i −0.882443 1.52844i −0.848617 0.529008i \(-0.822564\pi\)
−0.0338257 0.999428i \(-0.510769\pi\)
\(642\) 1.81452 + 5.70897i 0.0716136 + 0.225315i
\(643\) 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
\(645\) −7.72393 24.3015i −0.304130 0.956872i
\(646\) 0.751569 + 1.30176i 0.0295701 + 0.0512169i
\(647\) −18.9869 + 32.8862i −0.746451 + 1.29289i 0.203063 + 0.979166i \(0.434910\pi\)
−0.949514 + 0.313725i \(0.898423\pi\)
\(648\) −8.97261 0.701625i −0.352477 0.0275624i
\(649\) 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 \(-0.215510\pi\)
−0.152846 + 0.988250i \(0.548844\pi\)
\(654\) −26.8917 + 1.23629i −1.05155 + 0.0483426i
\(655\) −2.53590 + 2.53590i −0.0990857 + 0.0990857i
\(656\) −1.37131 + 5.11781i −0.0535408 + 0.199817i
\(657\) 20.6197 7.61290i 0.804452 0.297008i
\(658\) −13.9997 13.9997i −0.545763 0.545763i
\(659\) 0.644195 0.371926i 0.0250943 0.0144882i −0.487400 0.873179i \(-0.662055\pi\)
0.512495 + 0.858690i \(0.328721\pi\)
\(660\) −3.32210 + 2.12720i −0.129313 + 0.0828012i
\(661\) 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
\(663\) 6.76909 + 0.925255i 0.262890 + 0.0359339i
\(664\) −7.28877 −0.282859
\(665\) 13.1731 3.52971i 0.510829 0.136876i
\(666\) −0.851879 9.24545i −0.0330097 0.358254i
\(667\) −8.99201 + 5.19154i −0.348172 + 0.201017i
\(668\) 17.2850 + 17.2850i 0.668775 + 0.668775i
\(669\) −22.2517 + 24.3963i −0.860302 + 0.943214i
\(670\) 6.67600 24.9152i 0.257916 0.962556i
\(671\) −3.85174 + 3.85174i −0.148695 + 0.148695i
\(672\) 0.202059 + 4.39519i 0.00779461 + 0.169548i
\(673\) 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 \(-0.772608\pi\)
0.755504 0.655145i \(-0.227392\pi\)
\(678\) −18.4363 4.04264i −0.708044 0.155256i
\(679\) 0.779030 1.34932i 0.0298964 0.0517821i
\(680\) −2.13734 3.70198i −0.0819631 0.141964i
\(681\) −8.84802 + 2.81223i −0.339057 + 0.107765i
\(682\) −5.17533 1.38672i −0.198174 0.0531004i
\(683\) −22.5100 6.03154i −0.861322 0.230790i −0.198990 0.980001i \(-0.563766\pi\)
−0.662331 + 0.749211i \(0.730433\pi\)
\(684\) −0.697030 + 4.06259i −0.0266516 + 0.155337i
\(685\) −16.8381 29.1644i −0.643350 1.11431i
\(686\) −9.58581 + 16.6031i −0.365988 + 0.633910i
\(687\) −1.46081 + 6.66198i −0.0557333 + 0.254170i
\(688\) 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
\(693\) −1.85865 + 4.03440i −0.0706045 + 0.153254i
\(694\) 7.66753 7.66753i 0.291056 0.291056i
\(695\) −3.35070 + 12.5050i −0.127099 + 0.474341i
\(696\) 7.58004 + 6.91372i 0.287320 + 0.262064i
\(697\) −4.09867 4.09867i −0.155248 0.155248i
\(698\) 13.3129 7.68623i 0.503902 0.290928i
\(699\) −3.58340 5.59628i −0.135537 0.211671i
\(700\) −25.1935 + 6.75058i −0.952225 + 0.255148i
\(701\) −31.9420 −1.20643 −0.603217 0.797577i \(-0.706115\pi\)
−0.603217 + 0.797577i \(0.706115\pi\)
\(702\) 12.6526 + 13.8171i 0.477541 + 0.521493i
\(703\) −4.25230 −0.160379
\(704\) −0.563016 + 0.150860i −0.0212195 + 0.00568574i
\(705\) 28.4438 + 44.4214i 1.07126 + 1.67301i
\(706\) −1.61722 + 0.933704i −0.0608650 + 0.0351404i
\(707\) 10.4824 + 10.4824i 0.394231 + 0.394231i
\(708\) 10.8506 + 9.89675i 0.407789 + 0.371943i
\(709\) 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
\(711\) 16.4555 35.7183i 0.617129 1.33954i
\(712\) −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
\(717\) 0.394286 1.79813i 0.0147249 0.0671524i
\(718\) −8.57975 + 14.8606i −0.320193 + 0.554591i
\(719\) −14.4593 25.0442i −0.539240 0.933992i −0.998945 0.0459198i \(-0.985378\pi\)
0.459705 0.888072i \(-0.347955\pi\)
\(720\) 1.98224 11.5533i 0.0738736 0.430567i
\(721\) −5.08682 1.36301i −0.189443 0.0507612i
\(722\) −16.5291 4.42896i −0.615149 0.164829i
\(723\) −46.1589 + 14.6710i −1.71667 + 0.545621i
\(724\) −12.7703 22.1188i −0.474603 0.822037i
\(725\) −30.4091 + 52.6700i −1.12936 + 1.95612i
\(726\) 18.0356 + 3.95476i 0.669364 + 0.146775i
\(727\) 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
\(732\) −0.743357 16.1695i −0.0274753 0.597642i
\(733\) −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
\(735\) 2.49540 2.73589i 0.0920441 0.100915i
\(736\) 1.23950 + 1.23950i 0.0456887 + 0.0456887i
\(737\) 3.33228 1.92390i 0.122746 0.0708676i
\(738\) −1.45840 15.8280i −0.0536843 0.582637i
\(739\) −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
\(741\) 6.83314 5.18975i 0.251022 0.190650i
\(742\) 7.73339 0.283902
\(743\) −5.78030 + 1.54883i −0.212059 + 0.0568210i −0.363284 0.931678i \(-0.618345\pi\)
0.151226 + 0.988499i \(0.451678\pi\)
\(744\) 13.4081 8.58545i 0.491564 0.314758i
\(745\) −26.5807 + 15.3464i −0.973841 + 0.562247i
\(746\) 5.35695 + 5.35695i 0.196132 + 0.196132i
\(747\) 20.5129 7.57346i 0.750527 0.277098i
\(748\) 0.165041 0.615940i 0.00603448 0.0225210i
\(749\) −6.21235 + 6.21235i −0.226994 + 0.226994i
\(750\) 35.6124 1.63720i 1.30038 0.0597821i
\(751\) −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
\(756\) −5.13552 12.1595i −0.186777 0.442237i
\(757\) −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
\(759\) 0.536052 + 1.68656i 0.0194575 + 0.0612183i
\(760\) −5.18574 1.38951i −0.188107 0.0504030i
\(761\) 18.9310 + 5.07254i 0.686247 + 0.183879i 0.585062 0.810988i \(-0.301070\pi\)
0.101185 + 0.994868i \(0.467737\pi\)
\(762\) 4.88617 + 15.3732i 0.177007 + 0.556912i
\(763\) −19.7407 34.1918i −0.714660 1.23783i
\(764\) 11.8231 20.4783i 0.427747 0.740879i
\(765\) 9.86170 + 8.19770i 0.356551 + 0.296389i
\(766\) 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