Properties

Label 300.2.w.a.67.9
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.9
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.723992 + 1.21484i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951672 - 1.75907i) q^{4} +(-1.94762 + 1.09854i) q^{5} +(-0.905121 + 1.08663i) q^{6} +(-2.52433 + 2.52433i) q^{7} +(2.82599 + 0.117421i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.723992 + 1.21484i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951672 - 1.75907i) q^{4} +(-1.94762 + 1.09854i) q^{5} +(-0.905121 + 1.08663i) q^{6} +(-2.52433 + 2.52433i) q^{7} +(2.82599 + 0.117421i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.0755097 - 3.16138i) q^{10} +(-1.68955 + 0.548967i) q^{11} +(-0.664777 - 1.88629i) q^{12} +(-1.62677 - 3.19271i) q^{13} +(-1.23906 - 4.89425i) q^{14} +(-2.09549 + 0.780339i) q^{15} +(-2.18864 + 3.34811i) q^{16} +(0.815187 + 5.14689i) q^{17} +(-1.06396 + 0.931656i) q^{18} +(-6.47859 - 4.70697i) q^{19} +(3.78590 + 2.38054i) q^{20} +(-2.88815 + 2.09836i) q^{21} +(0.556310 - 2.44998i) q^{22} +(-3.63061 + 7.12548i) q^{23} +(2.77283 + 0.558057i) q^{24} +(2.58643 - 4.27907i) q^{25} +(5.05640 + 0.335234i) q^{26} +(0.891007 + 0.453990i) q^{27} +(6.84281 + 2.03813i) q^{28} +(2.24828 + 3.09449i) q^{29} +(0.569128 - 3.11064i) q^{30} +(-2.52195 + 3.47117i) q^{31} +(-2.48286 - 5.08285i) q^{32} +(-1.75462 + 0.277905i) q^{33} +(-6.84283 - 2.73598i) q^{34} +(2.14336 - 7.68951i) q^{35} +(-0.361512 - 1.96706i) q^{36} +(4.07246 - 2.07502i) q^{37} +(10.4087 - 4.46264i) q^{38} +(-1.10729 - 3.40789i) q^{39} +(-5.63294 + 2.87577i) q^{40} +(1.90439 - 5.86111i) q^{41} +(-0.458179 - 5.02783i) q^{42} +(6.90605 + 6.90605i) q^{43} +(2.57356 + 2.44959i) q^{44} +(-2.19176 + 0.442926i) q^{45} +(-6.02779 - 9.56940i) q^{46} +(-0.113466 + 0.716398i) q^{47} +(-2.68545 + 2.96451i) q^{48} -5.74450i q^{49} +(3.32583 + 6.24010i) q^{50} +5.21104i q^{51} +(-4.06805 + 5.90001i) q^{52} +(-0.150417 + 0.949696i) q^{53} +(-1.19661 + 0.753745i) q^{54} +(2.68753 - 2.92521i) q^{55} +(-7.43014 + 6.83732i) q^{56} +(-5.66249 - 5.66249i) q^{57} +(-5.38704 + 0.490913i) q^{58} +(-0.117276 + 0.360938i) q^{59} +(3.36689 + 2.94348i) q^{60} +(3.14261 + 9.67197i) q^{61} +(-2.39104 - 5.57686i) q^{62} +(-3.18084 + 1.62072i) q^{63} +(7.97242 + 0.663661i) q^{64} +(6.67564 + 4.43111i) q^{65} +(0.932722 - 2.33279i) q^{66} +(13.5463 - 2.14552i) q^{67} +(8.27793 - 6.33212i) q^{68} +(-4.70059 + 6.46980i) q^{69} +(7.78975 + 8.17097i) q^{70} +(0.772327 + 1.06302i) q^{71} +(2.65139 + 0.984953i) q^{72} +(0.731193 + 0.372562i) q^{73} +(-0.427607 + 6.44968i) q^{74} +(3.22398 - 3.82178i) q^{75} +(-2.11439 + 15.8758i) q^{76} +(2.87920 - 5.65075i) q^{77} +(4.94171 + 1.12210i) q^{78} +(-5.19452 + 3.77404i) q^{79} +(0.584601 - 8.92515i) q^{80} +(0.809017 + 0.587785i) q^{81} +(5.74154 + 6.55692i) q^{82} +(0.109993 + 0.694468i) q^{83} +(6.43973 + 3.08349i) q^{84} +(-7.24173 - 9.12865i) q^{85} +(-13.3897 + 3.38982i) q^{86} +(1.73651 + 3.40809i) q^{87} +(-4.83910 + 1.35299i) q^{88} +(-4.92819 + 1.60126i) q^{89} +(1.04873 - 2.98331i) q^{90} +(12.1660 + 3.95296i) q^{91} +(15.9894 - 0.394626i) q^{92} +(-3.03391 + 3.03391i) q^{93} +(-0.788160 - 0.656510i) q^{94} +(17.7886 + 2.05039i) q^{95} +(-1.65716 - 5.40868i) q^{96} +(8.43146 + 1.33541i) q^{97} +(6.97865 + 4.15897i) q^{98} -1.77649 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.723992 + 1.21484i −0.511939 + 0.859022i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −0.951672 1.75907i −0.475836 0.879534i
\(5\) −1.94762 + 1.09854i −0.871001 + 0.491281i
\(6\) −0.905121 + 1.08663i −0.369514 + 0.443613i
\(7\) −2.52433 + 2.52433i −0.954108 + 0.954108i −0.998992 0.0448845i \(-0.985708\pi\)
0.0448845 + 0.998992i \(0.485708\pi\)
\(8\) 2.82599 + 0.117421i 0.999138 + 0.0415146i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 0.0755097 3.16138i 0.0238783 0.999715i
\(11\) −1.68955 + 0.548967i −0.509417 + 0.165520i −0.552437 0.833554i \(-0.686302\pi\)
0.0430199 + 0.999074i \(0.486302\pi\)
\(12\) −0.664777 1.88629i −0.191905 0.544524i
\(13\) −1.62677 3.19271i −0.451184 0.885499i −0.998810 0.0487756i \(-0.984468\pi\)
0.547625 0.836724i \(-0.315532\pi\)
\(14\) −1.23906 4.89425i −0.331154 1.30804i
\(15\) −2.09549 + 0.780339i −0.541053 + 0.201483i
\(16\) −2.18864 + 3.34811i −0.547160 + 0.837028i
\(17\) 0.815187 + 5.14689i 0.197712 + 1.24830i 0.864338 + 0.502911i \(0.167738\pi\)
−0.666626 + 0.745392i \(0.732262\pi\)
\(18\) −1.06396 + 0.931656i −0.250779 + 0.219593i
\(19\) −6.47859 4.70697i −1.48629 1.07985i −0.975462 0.220170i \(-0.929339\pi\)
−0.510828 0.859683i \(-0.670661\pi\)
\(20\) 3.78590 + 2.38054i 0.846552 + 0.532305i
\(21\) −2.88815 + 2.09836i −0.630245 + 0.457900i
\(22\) 0.556310 2.44998i 0.118606 0.522337i
\(23\) −3.63061 + 7.12548i −0.757035 + 1.48577i 0.113435 + 0.993545i \(0.463815\pi\)
−0.870471 + 0.492220i \(0.836185\pi\)
\(24\) 2.77283 + 0.558057i 0.566001 + 0.113913i
\(25\) 2.58643 4.27907i 0.517285 0.855813i
\(26\) 5.05640 + 0.335234i 0.991642 + 0.0657448i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) 6.84281 + 2.03813i 1.29317 + 0.385171i
\(29\) 2.24828 + 3.09449i 0.417494 + 0.574631i 0.965026 0.262153i \(-0.0844326\pi\)
−0.547532 + 0.836785i \(0.684433\pi\)
\(30\) 0.569128 3.11064i 0.103908 0.567923i
\(31\) −2.52195 + 3.47117i −0.452956 + 0.623440i −0.973029 0.230681i \(-0.925905\pi\)
0.520074 + 0.854121i \(0.325905\pi\)
\(32\) −2.48286 5.08285i −0.438912 0.898530i
\(33\) −1.75462 + 0.277905i −0.305441 + 0.0483770i
\(34\) −6.84283 2.73598i −1.17354 0.469217i
\(35\) 2.14336 7.68951i 0.362293 1.29976i
\(36\) −0.361512 1.96706i −0.0602520 0.327843i
\(37\) 4.07246 2.07502i 0.669508 0.341131i −0.0859772 0.996297i \(-0.527401\pi\)
0.755485 + 0.655166i \(0.227401\pi\)
\(38\) 10.4087 4.46264i 1.68851 0.723936i
\(39\) −1.10729 3.40789i −0.177308 0.545699i
\(40\) −5.63294 + 2.87577i −0.890645 + 0.454699i
\(41\) 1.90439 5.86111i 0.297416 0.915351i −0.684984 0.728558i \(-0.740191\pi\)
0.982399 0.186793i \(-0.0598092\pi\)
\(42\) −0.458179 5.02783i −0.0706986 0.775811i
\(43\) 6.90605 + 6.90605i 1.05316 + 1.05316i 0.998505 + 0.0546581i \(0.0174069\pi\)
0.0546581 + 0.998505i \(0.482593\pi\)
\(44\) 2.57356 + 2.44959i 0.387979 + 0.369290i
\(45\) −2.19176 + 0.442926i −0.326728 + 0.0660275i
\(46\) −6.02779 9.56940i −0.888749 1.41093i
\(47\) −0.113466 + 0.716398i −0.0165508 + 0.104497i −0.994581 0.103967i \(-0.966846\pi\)
0.978030 + 0.208464i \(0.0668465\pi\)
\(48\) −2.68545 + 2.96451i −0.387612 + 0.427891i
\(49\) 5.74450i 0.820643i
\(50\) 3.32583 + 6.24010i 0.470343 + 0.882483i
\(51\) 5.21104i 0.729692i
\(52\) −4.06805 + 5.90001i −0.564137 + 0.818185i
\(53\) −0.150417 + 0.949696i −0.0206614 + 0.130451i −0.995863 0.0908676i \(-0.971036\pi\)
0.975202 + 0.221318i \(0.0710360\pi\)
\(54\) −1.19661 + 0.753745i −0.162838 + 0.102572i
\(55\) 2.68753 2.92521i 0.362386 0.394435i
\(56\) −7.43014 + 6.83732i −0.992895 + 0.913676i
\(57\) −5.66249 5.66249i −0.750015 0.750015i
\(58\) −5.38704 + 0.490913i −0.707353 + 0.0644600i
\(59\) −0.117276 + 0.360938i −0.0152680 + 0.0469901i −0.958400 0.285428i \(-0.907864\pi\)
0.943132 + 0.332418i \(0.107864\pi\)
\(60\) 3.36689 + 2.94348i 0.434663 + 0.380001i
\(61\) 3.14261 + 9.67197i 0.402370 + 1.23837i 0.923071 + 0.384629i \(0.125671\pi\)
−0.520701 + 0.853739i \(0.674329\pi\)
\(62\) −2.39104 5.57686i −0.303663 0.708262i
\(63\) −3.18084 + 1.62072i −0.400749 + 0.204192i
\(64\) 7.97242 + 0.663661i 0.996553 + 0.0829576i
\(65\) 6.67564 + 4.43111i 0.828011 + 0.549612i
\(66\) 0.932722 2.33279i 0.114810 0.287146i
\(67\) 13.5463 2.14552i 1.65494 0.262116i 0.742056 0.670338i \(-0.233851\pi\)
0.912883 + 0.408222i \(0.133851\pi\)
\(68\) 8.27793 6.33212i 1.00385 0.767882i
\(69\) −4.70059 + 6.46980i −0.565884 + 0.778873i
\(70\) 7.78975 + 8.17097i 0.931053 + 0.976618i
\(71\) 0.772327 + 1.06302i 0.0916583 + 0.126157i 0.852383 0.522917i \(-0.175156\pi\)
−0.760725 + 0.649074i \(0.775156\pi\)
\(72\) 2.65139 + 0.984953i 0.312469 + 0.116078i
\(73\) 0.731193 + 0.372562i 0.0855797 + 0.0436050i 0.496257 0.868176i \(-0.334708\pi\)
−0.410677 + 0.911781i \(0.634708\pi\)
\(74\) −0.427607 + 6.44968i −0.0497083 + 0.749760i
\(75\) 3.22398 3.82178i 0.372273 0.441301i
\(76\) −2.11439 + 15.8758i −0.242537 + 1.82107i
\(77\) 2.87920 5.65075i 0.328115 0.643963i
\(78\) 4.94171 + 1.12210i 0.559538 + 0.127053i
\(79\) −5.19452 + 3.77404i −0.584429 + 0.424612i −0.840318 0.542094i \(-0.817632\pi\)
0.255889 + 0.966706i \(0.417632\pi\)
\(80\) 0.584601 8.92515i 0.0653604 0.997862i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 5.74154 + 6.55692i 0.634047 + 0.724090i
\(83\) 0.109993 + 0.694468i 0.0120733 + 0.0762278i 0.992989 0.118204i \(-0.0377137\pi\)
−0.980916 + 0.194432i \(0.937714\pi\)
\(84\) 6.43973 + 3.08349i 0.702632 + 0.336437i
\(85\) −7.24173 9.12865i −0.785475 0.990141i
\(86\) −13.3897 + 3.38982i −1.44385 + 0.365534i
\(87\) 1.73651 + 3.40809i 0.186174 + 0.365386i
\(88\) −4.83910 + 1.35299i −0.515850 + 0.144229i
\(89\) −4.92819 + 1.60126i −0.522387 + 0.169734i −0.558328 0.829620i \(-0.688557\pi\)
0.0359415 + 0.999354i \(0.488557\pi\)
\(90\) 1.04873 2.98331i 0.110546 0.314469i
\(91\) 12.1660 + 3.95296i 1.27534 + 0.414383i
\(92\) 15.9894 0.394626i 1.66701 0.0411426i
\(93\) −3.03391 + 3.03391i −0.314602 + 0.314602i
\(94\) −0.788160 0.656510i −0.0812925 0.0677138i
\(95\) 17.7886 + 2.05039i 1.82507 + 0.210366i
\(96\) −1.65716 5.40868i −0.169133 0.552021i
\(97\) 8.43146 + 1.33541i 0.856085 + 0.135590i 0.569023 0.822322i \(-0.307322\pi\)
0.287062 + 0.957912i \(0.407322\pi\)
\(98\) 6.97865 + 4.15897i 0.704950 + 0.420120i
\(99\) −1.77649 −0.178544
\(100\) −9.98860 0.477429i −0.998860 0.0477429i
\(101\) −6.94087 −0.690643 −0.345321 0.938484i \(-0.612230\pi\)
−0.345321 + 0.938484i \(0.612230\pi\)
\(102\) −6.33058 3.77275i −0.626821 0.373558i
\(103\) −14.8955 2.35922i −1.46770 0.232461i −0.629151 0.777283i \(-0.716597\pi\)
−0.838552 + 0.544822i \(0.816597\pi\)
\(104\) −4.22234 9.21359i −0.414034 0.903467i
\(105\) 3.31987 7.25954i 0.323986 0.708459i
\(106\) −1.04483 0.870304i −0.101483 0.0845314i
\(107\) −4.92060 + 4.92060i −0.475692 + 0.475692i −0.903751 0.428059i \(-0.859198\pi\)
0.428059 + 0.903751i \(0.359198\pi\)
\(108\) −0.0493461 1.99939i −0.00474833 0.192392i
\(109\) −0.895542 0.290979i −0.0857773 0.0278707i 0.265814 0.964024i \(-0.414359\pi\)
−0.351591 + 0.936154i \(0.614359\pi\)
\(110\) 1.60791 + 5.38274i 0.153309 + 0.513224i
\(111\) 4.34692 1.41240i 0.412592 0.134059i
\(112\) −2.92689 13.9766i −0.276565 1.32066i
\(113\) 2.66129 + 5.22308i 0.250353 + 0.491346i 0.981645 0.190719i \(-0.0610821\pi\)
−0.731291 + 0.682065i \(0.761082\pi\)
\(114\) 10.9786 2.77942i 1.02824 0.260317i
\(115\) −0.756571 17.8661i −0.0705506 1.66602i
\(116\) 3.30379 6.89980i 0.306749 0.640631i
\(117\) −0.560546 3.53915i −0.0518225 0.327194i
\(118\) −0.353575 0.403787i −0.0325492 0.0371716i
\(119\) −15.0503 10.9346i −1.37965 1.00238i
\(120\) −6.01345 + 1.95918i −0.548951 + 0.178848i
\(121\) −6.34599 + 4.61063i −0.576908 + 0.419148i
\(122\) −14.0251 3.18465i −1.26977 0.288325i
\(123\) 2.79782 5.49103i 0.252271 0.495110i
\(124\) 8.50609 + 1.13287i 0.763870 + 0.101735i
\(125\) −0.336646 + 11.1753i −0.0301105 + 0.999547i
\(126\) 0.333988 5.03760i 0.0297540 0.448785i
\(127\) −2.02791 1.03327i −0.179948 0.0916881i 0.361696 0.932296i \(-0.382198\pi\)
−0.541644 + 0.840608i \(0.682198\pi\)
\(128\) −6.57821 + 9.20474i −0.581437 + 0.813591i
\(129\) 5.74068 + 7.90137i 0.505439 + 0.695677i
\(130\) −10.2162 + 4.90175i −0.896020 + 0.429912i
\(131\) 7.97871 10.9818i 0.697103 0.959480i −0.302876 0.953030i \(-0.597947\pi\)
0.999979 0.00645037i \(-0.00205323\pi\)
\(132\) 2.15868 + 2.82203i 0.187889 + 0.245626i
\(133\) 28.2360 4.47215i 2.44838 0.387785i
\(134\) −7.20092 + 18.0099i −0.622064 + 1.55582i
\(135\) −2.23407 + 0.0946055i −0.192278 + 0.00814235i
\(136\) 1.69936 + 14.6408i 0.145719 + 1.25544i
\(137\) −17.2164 + 8.77220i −1.47090 + 0.749460i −0.991739 0.128269i \(-0.959058\pi\)
−0.479158 + 0.877729i \(0.659058\pi\)
\(138\) −4.45659 10.3945i −0.379370 0.884842i
\(139\) −4.07647 12.5461i −0.345761 1.06414i −0.961175 0.275940i \(-0.911011\pi\)
0.615414 0.788204i \(-0.288989\pi\)
\(140\) −15.5661 + 3.54758i −1.31558 + 0.299826i
\(141\) −0.224139 + 0.689828i −0.0188759 + 0.0580940i
\(142\) −1.85055 + 0.168638i −0.155295 + 0.0141518i
\(143\) 4.50119 + 4.50119i 0.376409 + 0.376409i
\(144\) −3.11614 + 2.50792i −0.259679 + 0.208993i
\(145\) −7.77819 3.55705i −0.645944 0.295397i
\(146\) −0.981980 + 0.618551i −0.0812693 + 0.0511917i
\(147\) 0.898638 5.67378i 0.0741184 0.467965i
\(148\) −7.52575 5.18899i −0.618613 0.426532i
\(149\) 10.7792i 0.883069i −0.897244 0.441535i \(-0.854434\pi\)
0.897244 0.441535i \(-0.145566\pi\)
\(150\) 2.30872 + 6.68355i 0.188506 + 0.545709i
\(151\) 5.33464i 0.434127i −0.976158 0.217063i \(-0.930352\pi\)
0.976158 0.217063i \(-0.0696478\pi\)
\(152\) −17.7557 14.0626i −1.44018 1.14062i
\(153\) −0.815187 + 5.14689i −0.0659039 + 0.416101i
\(154\) 4.78024 + 7.58886i 0.385203 + 0.611528i
\(155\) 1.09858 9.53097i 0.0882403 0.765546i
\(156\) −4.94093 + 5.19099i −0.395591 + 0.415612i
\(157\) 2.71002 + 2.71002i 0.216283 + 0.216283i 0.806930 0.590647i \(-0.201127\pi\)
−0.590647 + 0.806930i \(0.701127\pi\)
\(158\) −0.824065 9.04288i −0.0655591 0.719413i
\(159\) −0.297130 + 0.914473i −0.0235640 + 0.0725224i
\(160\) 10.4194 + 7.17193i 0.823724 + 0.566991i
\(161\) −8.82221 27.1520i −0.695287 2.13987i
\(162\) −1.29979 + 0.557275i −0.102121 + 0.0437836i
\(163\) −11.6794 + 5.95093i −0.914798 + 0.466113i −0.847004 0.531586i \(-0.821596\pi\)
−0.0677942 + 0.997699i \(0.521596\pi\)
\(164\) −12.1224 + 2.22790i −0.946603 + 0.173970i
\(165\) 3.11204 2.46877i 0.242272 0.192194i
\(166\) −0.923302 0.369165i −0.0716621 0.0286528i
\(167\) 10.3967 1.64667i 0.804517 0.127423i 0.259386 0.965774i \(-0.416480\pi\)
0.545131 + 0.838351i \(0.316480\pi\)
\(168\) −8.40826 + 5.59081i −0.648711 + 0.431341i
\(169\) 0.0941679 0.129611i 0.00724368 0.00997007i
\(170\) 16.3328 2.18847i 1.25267 0.167848i
\(171\) −4.70697 6.47859i −0.359951 0.495430i
\(172\) 5.57592 18.7205i 0.425160 1.42743i
\(173\) −16.5463 8.43077i −1.25799 0.640979i −0.307447 0.951565i \(-0.599475\pi\)
−0.950545 + 0.310586i \(0.899475\pi\)
\(174\) −5.39751 0.357849i −0.409184 0.0271285i
\(175\) 4.27279 + 17.3308i 0.322992 + 1.31008i
\(176\) 1.85981 6.85828i 0.140188 0.516962i
\(177\) −0.172295 + 0.338148i −0.0129505 + 0.0254168i
\(178\) 1.62269 7.14626i 0.121625 0.535635i
\(179\) −8.42724 + 6.12275i −0.629882 + 0.457636i −0.856359 0.516380i \(-0.827279\pi\)
0.226477 + 0.974016i \(0.427279\pi\)
\(180\) 2.86497 + 3.43394i 0.213543 + 0.255951i
\(181\) 11.7201 + 8.51513i 0.871146 + 0.632925i 0.930894 0.365289i \(-0.119030\pi\)
−0.0597480 + 0.998213i \(0.519030\pi\)
\(182\) −13.6103 + 11.9178i −1.00886 + 0.883406i
\(183\) 1.59089 + 10.0445i 0.117602 + 0.742511i
\(184\) −11.0968 + 19.7102i −0.818064 + 1.45306i
\(185\) −5.65210 + 8.51510i −0.415550 + 0.626042i
\(186\) −1.48919 5.88224i −0.109193 0.431307i
\(187\) −4.20277 8.24839i −0.307337 0.603182i
\(188\) 1.36818 0.482181i 0.0997845 0.0351667i
\(189\) −3.39522 + 1.10317i −0.246966 + 0.0802441i
\(190\) −15.3697 + 20.1258i −1.11503 + 1.46008i
\(191\) 12.7629 + 4.14693i 0.923494 + 0.300061i 0.731899 0.681413i \(-0.238634\pi\)
0.191595 + 0.981474i \(0.438634\pi\)
\(192\) 7.77045 + 1.90265i 0.560784 + 0.137312i
\(193\) −1.91194 + 1.91194i −0.137625 + 0.137625i −0.772563 0.634938i \(-0.781026\pi\)
0.634938 + 0.772563i \(0.281026\pi\)
\(194\) −7.72661 + 9.27604i −0.554739 + 0.665981i
\(195\) 5.90027 + 5.42086i 0.422527 + 0.388196i
\(196\) −10.1050 + 5.46688i −0.721783 + 0.390492i
\(197\) −0.592792 0.0938891i −0.0422347 0.00668932i 0.135281 0.990807i \(-0.456806\pi\)
−0.177516 + 0.984118i \(0.556806\pi\)
\(198\) 1.28617 2.15816i 0.0914039 0.153373i
\(199\) 13.4831 0.955790 0.477895 0.878417i \(-0.341400\pi\)
0.477895 + 0.878417i \(0.341400\pi\)
\(200\) 7.81166 11.7889i 0.552368 0.833601i
\(201\) 13.7151 0.967389
\(202\) 5.02513 8.43205i 0.353567 0.593277i
\(203\) −13.4869 2.13611i −0.946595 0.149926i
\(204\) 9.16658 4.95921i 0.641789 0.347214i
\(205\) 2.72963 + 13.5072i 0.190646 + 0.943386i
\(206\) 13.6503 16.3877i 0.951064 1.14178i
\(207\) −5.65481 + 5.65481i −0.393037 + 0.393037i
\(208\) 14.2500 + 1.54110i 0.988058 + 0.106856i
\(209\) 13.5298 + 4.39611i 0.935879 + 0.304085i
\(210\) 6.41562 + 9.28896i 0.442720 + 0.640999i
\(211\) 18.6782 6.06892i 1.28586 0.417802i 0.415220 0.909721i \(-0.363704\pi\)
0.870641 + 0.491919i \(0.163704\pi\)
\(212\) 1.81373 0.639205i 0.124567 0.0439008i
\(213\) 0.596526 + 1.17075i 0.0408733 + 0.0802183i
\(214\) −2.41527 9.54021i −0.165104 0.652156i
\(215\) −21.0369 5.86378i −1.43471 0.399907i
\(216\) 2.46467 + 1.38759i 0.167699 + 0.0944139i
\(217\) −2.39614 15.1286i −0.162660 1.02700i
\(218\) 1.00186 0.877273i 0.0678544 0.0594164i
\(219\) 0.663910 + 0.482359i 0.0448629 + 0.0325948i
\(220\) −7.70329 1.94370i −0.519356 0.131044i
\(221\) 15.1064 10.9755i 1.01617 0.738289i
\(222\) −1.43129 + 6.30338i −0.0960622 + 0.423055i
\(223\) 3.00746 5.90248i 0.201395 0.395259i −0.768115 0.640312i \(-0.778805\pi\)
0.969510 + 0.245052i \(0.0788052\pi\)
\(224\) 19.0984 + 6.56323i 1.27606 + 0.438525i
\(225\) 3.78214 3.27038i 0.252143 0.218026i
\(226\) −8.27195 0.548422i −0.550242 0.0364805i
\(227\) 5.71398 + 2.91142i 0.379250 + 0.193237i 0.633215 0.773976i \(-0.281735\pi\)
−0.253965 + 0.967213i \(0.581735\pi\)
\(228\) −4.57187 + 15.3495i −0.302780 + 1.01655i
\(229\) −6.76671 9.31357i −0.447157 0.615458i 0.524627 0.851332i \(-0.324205\pi\)
−0.971784 + 0.235874i \(0.924205\pi\)
\(230\) 22.2522 + 12.0158i 1.46727 + 0.792297i
\(231\) 3.72773 5.13077i 0.245266 0.337580i
\(232\) 5.99024 + 9.00897i 0.393279 + 0.591468i
\(233\) −28.3176 + 4.48506i −1.85515 + 0.293826i −0.981316 0.192404i \(-0.938371\pi\)
−0.873830 + 0.486231i \(0.838371\pi\)
\(234\) 4.70533 + 1.88134i 0.307597 + 0.122987i
\(235\) −0.566002 1.51992i −0.0369219 0.0991484i
\(236\) 0.746522 0.137198i 0.0485944 0.00893085i
\(237\) −5.72095 + 2.91497i −0.371616 + 0.189348i
\(238\) 24.1801 10.3671i 1.56736 0.671996i
\(239\) −0.161118 0.495869i −0.0104218 0.0320751i 0.945710 0.325011i \(-0.105368\pi\)
−0.956132 + 0.292935i \(0.905368\pi\)
\(240\) 1.97360 8.72381i 0.127396 0.563120i
\(241\) 1.91390 5.89039i 0.123285 0.379433i −0.870299 0.492523i \(-0.836075\pi\)
0.993585 + 0.113090i \(0.0360748\pi\)
\(242\) −1.00674 11.0474i −0.0647154 0.710155i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 14.0229 14.7326i 0.897725 0.943159i
\(245\) 6.31056 + 11.1881i 0.403167 + 0.714781i
\(246\) 4.64513 + 7.37437i 0.296163 + 0.470172i
\(247\) −4.48884 + 28.3414i −0.285618 + 1.80332i
\(248\) −7.53459 + 9.51335i −0.478447 + 0.604098i
\(249\) 0.703125i 0.0445587i
\(250\) −13.3324 8.49977i −0.843217 0.537573i
\(251\) 13.5063i 0.852513i 0.904602 + 0.426257i \(0.140168\pi\)
−0.904602 + 0.426257i \(0.859832\pi\)
\(252\) 5.87808 + 4.05292i 0.370284 + 0.255310i
\(253\) 2.22244 14.0319i 0.139723 0.882179i
\(254\) 2.72345 1.71551i 0.170885 0.107640i
\(255\) −5.72453 10.1491i −0.358484 0.635562i
\(256\) −6.41971 14.6556i −0.401232 0.915976i
\(257\) 19.3654 + 19.3654i 1.20798 + 1.20798i 0.971679 + 0.236303i \(0.0759358\pi\)
0.236303 + 0.971679i \(0.424064\pi\)
\(258\) −13.7551 + 1.25348i −0.856356 + 0.0780385i
\(259\) −5.04219 + 15.5183i −0.313307 + 0.964259i
\(260\) 1.44161 15.9599i 0.0894048 0.989789i
\(261\) 1.18199 + 3.63779i 0.0731632 + 0.225173i
\(262\) 7.56455 + 17.6436i 0.467340 + 1.09002i
\(263\) −15.6398 + 7.96889i −0.964393 + 0.491383i −0.863960 0.503561i \(-0.832023\pi\)
−0.100434 + 0.994944i \(0.532023\pi\)
\(264\) −4.99118 + 0.579327i −0.307186 + 0.0356551i
\(265\) −0.750323 2.01488i −0.0460920 0.123773i
\(266\) −15.0097 + 37.5401i −0.920305 + 2.30173i
\(267\) −5.11801 + 0.810612i −0.313217 + 0.0496087i
\(268\) −16.6657 21.7870i −1.01802 1.33085i
\(269\) 9.74908 13.4185i 0.594412 0.818137i −0.400771 0.916178i \(-0.631258\pi\)
0.995182 + 0.0980409i \(0.0312576\pi\)
\(270\) 1.50251 2.78253i 0.0914401 0.169339i
\(271\) −0.441635 0.607859i −0.0268274 0.0369248i 0.795393 0.606095i \(-0.207265\pi\)
−0.822220 + 0.569170i \(0.807265\pi\)
\(272\) −19.0165 8.53534i −1.15304 0.517531i
\(273\) 11.3978 + 5.80747i 0.689827 + 0.351484i
\(274\) 1.80772 27.2662i 0.109208 1.64721i
\(275\) −2.02082 + 8.64954i −0.121860 + 0.521587i
\(276\) 15.8542 + 2.11152i 0.954313 + 0.127099i
\(277\) −8.06741 + 15.8332i −0.484724 + 0.951324i 0.511056 + 0.859547i \(0.329255\pi\)
−0.995780 + 0.0917765i \(0.970745\pi\)
\(278\) 18.1928 + 4.13100i 1.09113 + 0.247761i
\(279\) −3.47117 + 2.52195i −0.207813 + 0.150985i
\(280\) 6.96001 21.4788i 0.415940 1.28360i
\(281\) 1.40422 + 1.02023i 0.0837687 + 0.0608616i 0.628881 0.777501i \(-0.283513\pi\)
−0.545113 + 0.838363i \(0.683513\pi\)
\(282\) −0.675756 0.771722i −0.0402407 0.0459554i
\(283\) −0.331065 2.09026i −0.0196798 0.124253i 0.975893 0.218251i \(-0.0700353\pi\)
−0.995572 + 0.0939981i \(0.970035\pi\)
\(284\) 1.13492 2.37022i 0.0673449 0.140647i
\(285\) 17.2488 + 4.80790i 1.02173 + 0.284795i
\(286\) −8.72706 + 2.20940i −0.516042 + 0.130645i
\(287\) 9.98807 + 19.6027i 0.589577 + 1.15711i
\(288\) −0.790656 5.60133i −0.0465898 0.330061i
\(289\) −9.65795 + 3.13806i −0.568115 + 0.184592i
\(290\) 9.95260 6.87398i 0.584437 0.403654i
\(291\) 8.11875 + 2.63794i 0.475929 + 0.154639i
\(292\) −0.0404952 1.64078i −0.00236980 0.0960191i
\(293\) 4.91240 4.91240i 0.286985 0.286985i −0.548902 0.835887i \(-0.684954\pi\)
0.835887 + 0.548902i \(0.184954\pi\)
\(294\) 6.24213 + 5.19947i 0.364048 + 0.303239i
\(295\) −0.168096 0.831800i −0.00978691 0.0484293i
\(296\) 11.7524 5.38579i 0.683093 0.313043i
\(297\) −1.75462 0.277905i −0.101814 0.0161257i
\(298\) 13.0950 + 7.80408i 0.758576 + 0.452078i
\(299\) 28.6558 1.65721
\(300\) −9.79093 2.03411i −0.565280 0.117440i
\(301\) −34.8663 −2.00966
\(302\) 6.48073 + 3.86223i 0.372924 + 0.222247i
\(303\) −6.85542 1.08579i −0.393834 0.0623771i
\(304\) 29.9387 11.3892i 1.71711 0.653214i
\(305\) −16.7456 15.3850i −0.958853 0.880943i
\(306\) −5.66246 4.71662i −0.323701 0.269631i
\(307\) −16.3027 + 16.3027i −0.930442 + 0.930442i −0.997733 0.0672912i \(-0.978564\pi\)
0.0672912 + 0.997733i \(0.478564\pi\)
\(308\) −12.6801 + 0.312952i −0.722516 + 0.0178321i
\(309\) −14.3431 4.66035i −0.815950 0.265118i
\(310\) 10.7832 + 8.23494i 0.612447 + 0.467713i
\(311\) −16.3710 + 5.31926i −0.928315 + 0.301628i −0.733873 0.679286i \(-0.762289\pi\)
−0.194442 + 0.980914i \(0.562289\pi\)
\(312\) −2.72903 9.76067i −0.154501 0.552589i
\(313\) 6.04074 + 11.8556i 0.341443 + 0.670119i 0.996329 0.0856085i \(-0.0272834\pi\)
−0.654886 + 0.755728i \(0.727283\pi\)
\(314\) −5.25427 + 1.33021i −0.296516 + 0.0750680i
\(315\) 4.41464 6.65082i 0.248737 0.374731i
\(316\) 11.5823 + 5.54586i 0.651553 + 0.311979i
\(317\) 1.57231 + 9.92720i 0.0883099 + 0.557567i 0.991682 + 0.128710i \(0.0410836\pi\)
−0.903372 + 0.428857i \(0.858916\pi\)
\(318\) −0.895818 1.02304i −0.0502350 0.0573690i
\(319\) −5.49733 3.99405i −0.307792 0.223624i
\(320\) −16.2563 + 7.46546i −0.908754 + 0.417332i
\(321\) −5.62977 + 4.09027i −0.314223 + 0.228296i
\(322\) 39.3725 + 8.94022i 2.19414 + 0.498219i
\(323\) 18.9450 37.1816i 1.05413 2.06884i
\(324\) 0.264035 1.98249i 0.0146686 0.110139i
\(325\) −17.8693 1.29666i −0.991213 0.0719259i
\(326\) 1.22633 18.4970i 0.0679201 1.02445i
\(327\) −0.838997 0.427490i −0.0463966 0.0236403i
\(328\) 6.07000 16.3398i 0.335160 0.902215i
\(329\) −1.52200 2.09485i −0.0839106 0.115493i
\(330\) 0.746071 + 5.56801i 0.0410698 + 0.306509i
\(331\) 4.32087 5.94717i 0.237496 0.326886i −0.673587 0.739108i \(-0.735247\pi\)
0.911083 + 0.412222i \(0.135247\pi\)
\(332\) 1.11694 0.854391i 0.0613000 0.0468908i
\(333\) 4.51435 0.715003i 0.247385 0.0391819i
\(334\) −5.52665 + 13.8224i −0.302405 + 0.756330i
\(335\) −24.0260 + 19.0597i −1.31268 + 1.04134i
\(336\) −0.704436 14.2624i −0.0384302 0.778077i
\(337\) 7.42745 3.78448i 0.404599 0.206154i −0.239835 0.970814i \(-0.577093\pi\)
0.644434 + 0.764660i \(0.277093\pi\)
\(338\) 0.0892798 + 0.208236i 0.00485618 + 0.0113266i
\(339\) 1.81146 + 5.57509i 0.0983848 + 0.302797i
\(340\) −9.16617 + 21.4262i −0.497105 + 1.16200i
\(341\) 2.35540 7.24917i 0.127552 0.392564i
\(342\) 11.2783 1.02777i 0.609858 0.0555755i
\(343\) −3.16929 3.16929i −0.171126 0.171126i
\(344\) 18.7055 + 20.3273i 1.00853 + 1.09598i
\(345\) 2.04761 17.7645i 0.110240 0.956407i
\(346\) 22.2214 13.9973i 1.19463 0.752500i
\(347\) 0.533505 3.36842i 0.0286400 0.180826i −0.969221 0.246191i \(-0.920821\pi\)
0.997861 + 0.0653646i \(0.0208211\pi\)
\(348\) 4.34248 6.29803i 0.232781 0.337610i
\(349\) 5.41345i 0.289775i 0.989448 + 0.144888i \(0.0462820\pi\)
−0.989448 + 0.144888i \(0.953718\pi\)
\(350\) −24.1476 7.35659i −1.29074 0.393226i
\(351\) 3.58327i 0.191261i
\(352\) 6.98523 + 7.22470i 0.372314 + 0.385078i
\(353\) −2.10117 + 13.2663i −0.111834 + 0.706092i 0.866518 + 0.499145i \(0.166353\pi\)
−0.978352 + 0.206946i \(0.933647\pi\)
\(354\) −0.286055 0.454127i −0.0152037 0.0241366i
\(355\) −2.67196 1.22192i −0.141813 0.0648527i
\(356\) 7.50675 + 7.14514i 0.397857 + 0.378691i
\(357\) −13.1544 13.1544i −0.696205 0.696205i
\(358\) −1.33691 14.6706i −0.0706578 0.775364i
\(359\) 0.690853 2.12623i 0.0364618 0.112218i −0.931169 0.364588i \(-0.881210\pi\)
0.967631 + 0.252370i \(0.0812099\pi\)
\(360\) −6.24590 + 0.994344i −0.329188 + 0.0524065i
\(361\) 13.9452 + 42.9189i 0.733958 + 2.25889i
\(362\) −18.8298 + 8.07313i −0.989670 + 0.424314i
\(363\) −6.98912 + 3.56113i −0.366833 + 0.186911i
\(364\) −4.62449 25.1627i −0.242389 1.31888i
\(365\) −1.83336 + 0.0776368i −0.0959623 + 0.00406370i
\(366\) −13.3543 5.33946i −0.698038 0.279098i
\(367\) 30.7353 4.86799i 1.60437 0.254107i 0.710921 0.703272i \(-0.248278\pi\)
0.893449 + 0.449165i \(0.148278\pi\)
\(368\) −15.9108 27.7508i −0.829408 1.44661i
\(369\) 3.62236 4.98575i 0.188573 0.259548i
\(370\) −6.25241 13.0313i −0.325047 0.677463i
\(371\) −2.01764 2.77705i −0.104751 0.144177i
\(372\) 8.22415 + 2.44957i 0.426402 + 0.127004i
\(373\) 0.877412 + 0.447064i 0.0454307 + 0.0231481i 0.476558 0.879143i \(-0.341884\pi\)
−0.431128 + 0.902291i \(0.641884\pi\)
\(374\) 13.0632 + 0.866079i 0.675484 + 0.0447839i
\(375\) −2.08070 + 10.9850i −0.107447 + 0.567264i
\(376\) −0.404775 + 2.01121i −0.0208747 + 0.103720i
\(377\) 6.22238 12.2121i 0.320469 0.628956i
\(378\) 1.11793 4.92334i 0.0575002 0.253229i
\(379\) −3.72897 + 2.70926i −0.191544 + 0.139165i −0.679424 0.733746i \(-0.737770\pi\)
0.487880 + 0.872911i \(0.337770\pi\)
\(380\) −13.3221 33.2426i −0.683411 1.70531i
\(381\) −1.84130 1.33779i −0.0943329 0.0685369i
\(382\) −14.2781 + 12.5026i −0.730532 + 0.639688i
\(383\) −0.000646826 0.00408390i −3.30513e−5 0.000208678i 0.987672 0.156539i \(-0.0500336\pi\)
−0.987705 + 0.156330i \(0.950034\pi\)
\(384\) −7.93716 + 8.06235i −0.405041 + 0.411430i
\(385\) 0.599987 + 14.1684i 0.0305782 + 0.722089i
\(386\) −0.938475 3.70694i −0.0477671 0.188678i
\(387\) 4.43396 + 8.70213i 0.225391 + 0.442354i
\(388\) −5.67490 16.1024i −0.288100 0.817474i
\(389\) 31.1826 10.1318i 1.58102 0.513705i 0.618702 0.785626i \(-0.287659\pi\)
0.962320 + 0.271921i \(0.0876589\pi\)
\(390\) −10.8572 + 3.24323i −0.549777 + 0.164227i
\(391\) −39.6337 12.8778i −2.00436 0.651256i
\(392\) 0.674525 16.2339i 0.0340687 0.819936i
\(393\) 9.59841 9.59841i 0.484176 0.484176i
\(394\) 0.543237 0.652173i 0.0273679 0.0328560i
\(395\) 5.97100 13.0568i 0.300434 0.656957i
\(396\) 1.69064 + 3.12497i 0.0849579 + 0.157036i
\(397\) −29.0939 4.60802i −1.46018 0.231270i −0.624732 0.780839i \(-0.714792\pi\)
−0.835448 + 0.549570i \(0.814792\pi\)
\(398\) −9.76163 + 16.3798i −0.489306 + 0.821044i
\(399\) 28.5880 1.43119
\(400\) 8.66604 + 18.0250i 0.433302 + 0.901249i
\(401\) 9.63208 0.481003 0.240501 0.970649i \(-0.422688\pi\)
0.240501 + 0.970649i \(0.422688\pi\)
\(402\) −9.92962 + 16.6617i −0.495245 + 0.831008i
\(403\) 15.1851 + 2.40508i 0.756422 + 0.119806i
\(404\) 6.60544 + 12.2095i 0.328633 + 0.607444i
\(405\) −2.22136 0.256044i −0.110380 0.0127229i
\(406\) 12.3594 14.8379i 0.613389 0.736392i
\(407\) −5.74149 + 5.74149i −0.284595 + 0.284595i
\(408\) −0.611886 + 14.7263i −0.0302929 + 0.729063i
\(409\) −12.9665 4.21307i −0.641152 0.208323i −0.0296432 0.999561i \(-0.509437\pi\)
−0.611509 + 0.791238i \(0.709437\pi\)
\(410\) −18.3854 6.46306i −0.907988 0.319188i
\(411\) −18.3767 + 5.97096i −0.906457 + 0.294526i
\(412\) 10.0256 + 28.4475i 0.493928 + 1.40151i
\(413\) −0.615083 1.20717i −0.0302663 0.0594009i
\(414\) −2.77566 10.9637i −0.136416 0.538838i
\(415\) −0.977125 1.23173i −0.0479652 0.0604631i
\(416\) −12.1890 + 16.1957i −0.597617 + 0.794059i
\(417\) −2.06364 13.0293i −0.101057 0.638048i
\(418\) −15.1361 + 13.2538i −0.740329 + 0.648267i
\(419\) −14.8180 10.7659i −0.723908 0.525950i 0.163722 0.986507i \(-0.447650\pi\)
−0.887631 + 0.460556i \(0.847650\pi\)
\(420\) −15.9295 + 1.06883i −0.777278 + 0.0521534i
\(421\) −6.14229 + 4.46264i −0.299357 + 0.217496i −0.727316 0.686302i \(-0.759233\pi\)
0.427959 + 0.903798i \(0.359233\pi\)
\(422\) −6.15010 + 27.0849i −0.299382 + 1.31847i
\(423\) −0.329292 + 0.646272i −0.0160107 + 0.0314228i
\(424\) −0.536591 + 2.66617i −0.0260592 + 0.129481i
\(425\) 24.1323 + 9.82380i 1.17059 + 0.476524i
\(426\) −1.85415 0.122928i −0.0898339 0.00595589i
\(427\) −32.3483 16.4823i −1.56544 0.797632i
\(428\) 13.3385 + 3.97287i 0.644739 + 0.192036i
\(429\) 3.74164 + 5.14992i 0.180648 + 0.248640i
\(430\) 22.3541 21.3112i 1.07801 1.02772i
\(431\) 3.20041 4.40499i 0.154158 0.212181i −0.724951 0.688800i \(-0.758138\pi\)
0.879110 + 0.476619i \(0.158138\pi\)
\(432\) −3.47010 + 1.98957i −0.166955 + 0.0957231i
\(433\) 11.0230 1.74587i 0.529732 0.0839013i 0.114161 0.993462i \(-0.463582\pi\)
0.415571 + 0.909561i \(0.363582\pi\)
\(434\) 20.1136 + 8.04207i 0.965485 + 0.386032i
\(435\) −7.12598 4.73004i −0.341665 0.226788i
\(436\) 0.340410 + 1.85224i 0.0163027 + 0.0887060i
\(437\) 57.0607 29.0739i 2.72958 1.39079i
\(438\) −1.06665 + 0.457320i −0.0509667 + 0.0218516i
\(439\) 9.42835 + 29.0175i 0.449991 + 1.38493i 0.876917 + 0.480642i \(0.159596\pi\)
−0.426926 + 0.904287i \(0.640404\pi\)
\(440\) 7.93840 7.95104i 0.378449 0.379051i
\(441\) 1.77515 5.46335i 0.0845309 0.260159i
\(442\) 2.39650 + 26.2980i 0.113990 + 1.25087i
\(443\) 23.1555 + 23.1555i 1.10015 + 1.10015i 0.994392 + 0.105759i \(0.0337273\pi\)
0.105759 + 0.994392i \(0.466273\pi\)
\(444\) −6.62136 6.30239i −0.314236 0.299098i
\(445\) 7.83917 8.53246i 0.371612 0.404477i
\(446\) 4.99319 + 7.92694i 0.236434 + 0.375351i
\(447\) 1.68624 10.6465i 0.0797566 0.503563i
\(448\) −21.8003 + 18.4497i −1.02997 + 0.871669i
\(449\) 30.2498i 1.42757i 0.700362 + 0.713787i \(0.253022\pi\)
−0.700362 + 0.713787i \(0.746978\pi\)
\(450\) 1.23476 + 6.96243i 0.0582069 + 0.328212i
\(451\) 10.9481i 0.515524i
\(452\) 6.65507 9.65205i 0.313028 0.453994i
\(453\) 0.834521 5.26896i 0.0392092 0.247557i
\(454\) −7.67377 + 4.83372i −0.360148 + 0.226858i
\(455\) −28.0371 + 5.66593i −1.31440 + 0.265623i
\(456\) −15.3372 16.6670i −0.718232 0.780505i
\(457\) 4.51323 + 4.51323i 0.211120 + 0.211120i 0.804743 0.593623i \(-0.202303\pi\)
−0.593623 + 0.804743i \(0.702303\pi\)
\(458\) 16.2135 1.47752i 0.757609 0.0690398i
\(459\) −1.61030 + 4.95600i −0.0751624 + 0.231326i
\(460\) −30.7076 + 18.3335i −1.43175 + 0.854805i
\(461\) −5.35766 16.4892i −0.249531 0.767977i −0.994858 0.101278i \(-0.967707\pi\)
0.745327 0.666699i \(-0.232293\pi\)
\(462\) 3.53423 + 8.24323i 0.164427 + 0.383510i
\(463\) −3.65507 + 1.86235i −0.169866 + 0.0865509i −0.536856 0.843674i \(-0.680388\pi\)
0.366990 + 0.930225i \(0.380388\pi\)
\(464\) −15.2813 + 0.754764i −0.709419 + 0.0350390i
\(465\) 2.57603 9.24177i 0.119460 0.428577i
\(466\) 15.0531 37.6485i 0.697319 1.74403i
\(467\) −11.9491 + 1.89255i −0.552938 + 0.0875768i −0.426650 0.904417i \(-0.640306\pi\)
−0.126288 + 0.991994i \(0.540306\pi\)
\(468\) −5.69215 + 4.35415i −0.263120 + 0.201271i
\(469\) −28.7792 + 39.6112i −1.32890 + 1.82908i
\(470\) 2.25624 + 0.412805i 0.104072 + 0.0190413i
\(471\) 2.25272 + 3.10060i 0.103800 + 0.142868i
\(472\) −0.373802 + 1.00624i −0.0172056 + 0.0463157i
\(473\) −15.4593 7.87690i −0.710819 0.362180i
\(474\) 0.600699 9.06046i 0.0275910 0.416161i
\(475\) −36.8978 + 15.5481i −1.69299 + 0.713395i
\(476\) −4.91188 + 36.8806i −0.225136 + 1.69042i
\(477\) −0.436527 + 0.856733i −0.0199872 + 0.0392271i
\(478\) 0.719050 + 0.163273i 0.0328886 + 0.00746793i
\(479\) 11.7109 8.50844i 0.535083 0.388761i −0.287173 0.957879i \(-0.592715\pi\)
0.822256 + 0.569118i \(0.192715\pi\)
\(480\) 9.16916 + 8.71358i 0.418513 + 0.397719i
\(481\) −13.2499 9.62661i −0.604143 0.438936i
\(482\) 5.77023 + 6.58968i 0.262827 + 0.300152i
\(483\) −4.46609 28.1978i −0.203214 1.28304i
\(484\) 14.1497 + 6.77521i 0.643168 + 0.307964i
\(485\) −17.8882 + 6.66141i −0.812264 + 0.302479i
\(486\) −1.37096 + 0.347082i −0.0621881 + 0.0157440i
\(487\) 7.38610 + 14.4960i 0.334696 + 0.656878i 0.995612 0.0935824i \(-0.0298318\pi\)
−0.660915 + 0.750460i \(0.729832\pi\)
\(488\) 7.74530 + 27.7019i 0.350613 + 1.25401i
\(489\) −12.4665 + 4.05061i −0.563755 + 0.183175i
\(490\) −18.1605 0.433766i −0.820409 0.0195955i
\(491\) −5.37125 1.74523i −0.242401 0.0787609i 0.185297 0.982683i \(-0.440675\pi\)
−0.427698 + 0.903922i \(0.640675\pi\)
\(492\) −12.3217 + 0.304107i −0.555506 + 0.0137102i
\(493\) −14.0942 + 14.0942i −0.634771 + 0.634771i
\(494\) −31.1804 25.9722i −1.40287 1.16854i
\(495\) 3.45993 1.95155i 0.155512 0.0877155i
\(496\) −6.10222 16.0409i −0.273998 0.720258i
\(497\) −4.63302 0.733798i −0.207819 0.0329153i
\(498\) −0.854184 0.509057i −0.0382769 0.0228114i
\(499\) 42.0345 1.88172 0.940861 0.338792i \(-0.110018\pi\)
0.940861 + 0.338792i \(0.110018\pi\)
\(500\) 19.9784 10.0430i 0.893463 0.449137i
\(501\) 10.5262 0.470278
\(502\) −16.4081 9.77848i −0.732327 0.436435i
\(503\) −13.5346 2.14367i −0.603479 0.0955817i −0.152784 0.988260i \(-0.548824\pi\)
−0.450695 + 0.892678i \(0.648824\pi\)
\(504\) −9.17933 + 4.20664i −0.408880 + 0.187379i
\(505\) 13.5182 7.62482i 0.601550 0.339300i
\(506\) 15.4375 + 12.8589i 0.686281 + 0.571648i
\(507\) 0.113284 0.113284i 0.00503112 0.00503112i
\(508\) 0.112311 + 4.55057i 0.00498297 + 0.201899i
\(509\) 15.7867 + 5.12941i 0.699733 + 0.227357i 0.637214 0.770687i \(-0.280087\pi\)
0.0625186 + 0.998044i \(0.480087\pi\)
\(510\) 16.4741 + 0.393484i 0.729484 + 0.0174238i
\(511\) −2.78624 + 0.905305i −0.123256 + 0.0400484i
\(512\) 22.4521 + 2.81163i 0.992250 + 0.124258i
\(513\) −3.63554 7.13516i −0.160513 0.315025i
\(514\) −37.5463 + 9.50549i −1.65610 + 0.419269i
\(515\) 31.6025 11.7685i 1.39257 0.518581i
\(516\) 8.43580 17.6178i 0.371366 0.775579i
\(517\) −0.201572 1.27268i −0.00886514 0.0559723i
\(518\) −15.2017 17.3606i −0.667925 0.762779i
\(519\) −15.0237 10.9154i −0.659469 0.479132i
\(520\) 18.3450 + 13.3061i 0.804481 + 0.583513i
\(521\) −24.1796 + 17.5675i −1.05933 + 0.769648i −0.973964 0.226702i \(-0.927206\pi\)
−0.0853650 + 0.996350i \(0.527206\pi\)
\(522\) −5.27508 1.19780i −0.230884 0.0524263i
\(523\) 19.4370 38.1472i 0.849919 1.66806i 0.111452 0.993770i \(-0.464450\pi\)
0.738467 0.674289i \(-0.235550\pi\)
\(524\) −26.9108 3.58406i −1.17560 0.156571i
\(525\) 1.50905 + 17.7858i 0.0658604 + 0.776237i
\(526\) 1.64218 24.7693i 0.0716024 1.07999i
\(527\) −19.9216 10.1505i −0.867797 0.442165i
\(528\) 2.90978 6.48291i 0.126632 0.282132i
\(529\) −24.0721 33.1324i −1.04661 1.44054i
\(530\) 2.99099 + 0.547236i 0.129920 + 0.0237704i
\(531\) −0.223072 + 0.307032i −0.00968049 + 0.0133240i
\(532\) −34.7383 45.4131i −1.50610 1.96891i
\(533\) −21.8108 + 3.45450i −0.944732 + 0.149631i
\(534\) 2.72063 6.80443i 0.117733 0.294457i
\(535\) 4.17797 14.9889i 0.180630 0.648027i
\(536\) 38.5335 4.47259i 1.66439 0.193186i
\(537\) −9.28130 + 4.72906i −0.400518 + 0.204074i
\(538\) 9.24302 + 21.5584i 0.398495 + 0.929449i
\(539\) 3.15354 + 9.70560i 0.135833 + 0.418050i
\(540\) 2.29252 + 3.83984i 0.0986542 + 0.165240i
\(541\) 0.176397 0.542895i 0.00758391 0.0233409i −0.947193 0.320664i \(-0.896094\pi\)
0.954777 + 0.297323i \(0.0960939\pi\)
\(542\) 1.05819 0.0964315i 0.0454532 0.00414209i
\(543\) 10.2437 + 10.2437i 0.439600 + 0.439600i
\(544\) 24.1369 16.9225i 1.03486 0.725546i
\(545\) 2.06382 0.417071i 0.0884045 0.0178654i
\(546\) −15.3071 + 9.64195i −0.655082 + 0.412637i
\(547\) 6.11765 38.6253i 0.261572 1.65150i −0.411123 0.911580i \(-0.634863\pi\)
0.672695 0.739920i \(-0.265137\pi\)
\(548\) 31.8153 + 21.9366i 1.35908 + 0.937084i
\(549\) 10.1697i 0.434033i
\(550\) −9.04475 8.71717i −0.385670 0.371701i
\(551\) 30.6304i 1.30490i
\(552\) −14.0435 + 17.7316i −0.597731 + 0.754709i
\(553\) 3.58576 22.6396i 0.152482 0.962734i
\(554\) −13.3940 21.2637i −0.569059 0.903408i
\(555\) −6.91457 + 7.52608i −0.293507 + 0.319464i
\(556\) −18.1899 + 19.1105i −0.771425 + 0.810467i
\(557\) 3.14101 + 3.14101i 0.133089 + 0.133089i 0.770513 0.637424i \(-0.220000\pi\)
−0.637424 + 0.770513i \(0.720000\pi\)
\(558\) −0.550670 6.04278i −0.0233117 0.255811i
\(559\) 10.8145 33.2836i 0.457404 1.40775i
\(560\) 21.0543 + 24.0058i 0.889707 + 1.01443i
\(561\) −2.86069 8.80430i −0.120778 0.371718i
\(562\) −2.25605 + 0.967268i −0.0951659 + 0.0408017i
\(563\) 13.8062 7.03460i 0.581861 0.296473i −0.138177 0.990408i \(-0.544124\pi\)
0.720038 + 0.693935i \(0.244124\pi\)
\(564\) 1.42676 0.262215i 0.0600775 0.0110412i
\(565\) −10.9209 7.24902i −0.459447 0.304969i
\(566\) 2.77902 + 1.11114i 0.116811 + 0.0467048i
\(567\) −3.52599 + 0.558462i −0.148078 + 0.0234532i
\(568\) 2.05777 + 3.09476i 0.0863420 + 0.129853i
\(569\) 24.2879 33.4294i 1.01820 1.40143i 0.104742 0.994499i \(-0.466598\pi\)
0.913458 0.406932i \(-0.133402\pi\)
\(570\) −18.3288 + 17.4737i −0.767711 + 0.731892i
\(571\) 21.3423 + 29.3752i 0.893147 + 1.22931i 0.972603 + 0.232473i \(0.0746819\pi\)
−0.0794554 + 0.996838i \(0.525318\pi\)
\(572\) 3.63424 12.2016i 0.151955 0.510173i
\(573\) 11.9571 + 6.09244i 0.499514 + 0.254515i
\(574\) −31.0454 2.05828i −1.29581 0.0859108i
\(575\) 21.1001 + 33.9652i 0.879935 + 1.41645i
\(576\) 7.37714 + 3.09479i 0.307381 + 0.128950i
\(577\) −11.7252 + 23.0120i −0.488127 + 0.958004i 0.507235 + 0.861808i \(0.330668\pi\)
−0.995362 + 0.0961960i \(0.969332\pi\)
\(578\) 3.18004 14.0048i 0.132272 0.582523i
\(579\) −2.18750 + 1.58931i −0.0909094 + 0.0660495i
\(580\) 1.14519 + 17.0675i 0.0475513 + 0.708690i
\(581\) −2.03073 1.47541i −0.0842488 0.0612103i
\(582\) −9.08258 + 7.95313i −0.376485 + 0.329668i
\(583\) −0.267215 1.68713i −0.0110669 0.0698737i
\(584\) 2.02260 + 1.13871i 0.0836957 + 0.0471202i
\(585\) 4.97962 + 6.27713i 0.205882 + 0.259527i
\(586\) 2.41124 + 9.52432i 0.0996076 + 0.393446i
\(587\) −14.1378 27.7471i −0.583531 1.14524i −0.974405 0.224800i \(-0.927827\pi\)
0.390873 0.920444i \(-0.372173\pi\)
\(588\) −10.8358 + 3.81881i −0.446860 + 0.157485i
\(589\) 32.6774 10.6175i 1.34645 0.437487i
\(590\) 1.13220 + 0.398007i 0.0466121 + 0.0163857i
\(591\) −0.570807 0.185466i −0.0234799 0.00762907i
\(592\) −1.96574 + 18.1765i −0.0807914 + 0.747050i
\(593\) −15.4757 + 15.4757i −0.635512 + 0.635512i −0.949445 0.313933i \(-0.898353\pi\)
0.313933 + 0.949445i \(0.398353\pi\)
\(594\) 1.60794 1.93038i 0.0659747 0.0792046i
\(595\) 41.3243 + 4.76322i 1.69413 + 0.195273i
\(596\) −18.9614 + 10.2583i −0.776690 + 0.420196i
\(597\) 13.3171 + 2.10922i 0.545032 + 0.0863245i
\(598\) −20.7466 + 34.8122i −0.848390 + 1.42358i
\(599\) 31.3256 1.27993 0.639964 0.768405i \(-0.278949\pi\)
0.639964 + 0.768405i \(0.278949\pi\)
\(600\) 9.55967 10.4217i 0.390272 0.425466i
\(601\) 28.3857 1.15788 0.578938 0.815371i \(-0.303467\pi\)
0.578938 + 0.815371i \(0.303467\pi\)
\(602\) 25.2429 42.3570i 1.02883 1.72634i
\(603\) 13.5463 + 2.14552i 0.551646 + 0.0873722i
\(604\) −9.38399 + 5.07683i −0.381829 + 0.206573i
\(605\) 7.29460 15.9510i 0.296567 0.648502i
\(606\) 6.28233 7.54213i 0.255202 0.306378i
\(607\) 28.9484 28.9484i 1.17498 1.17498i 0.193971 0.981007i \(-0.437863\pi\)
0.981007 0.193971i \(-0.0621367\pi\)
\(608\) −7.83938 + 44.6165i −0.317929 + 1.80944i
\(609\) −12.9867 4.21963i −0.526247 0.170988i
\(610\) 30.8140 9.20465i 1.24762 0.372686i
\(611\) 2.47184 0.803149i 0.0999998 0.0324919i
\(612\) 9.82951 3.46418i 0.397335 0.140031i
\(613\) 12.3671 + 24.2717i 0.499501 + 0.980325i 0.993816 + 0.111042i \(0.0354189\pi\)
−0.494315 + 0.869283i \(0.664581\pi\)
\(614\) −8.00214 31.6081i −0.322940 1.27560i
\(615\) 0.583028 + 13.7679i 0.0235100 + 0.555177i
\(616\) 8.80011 15.6309i 0.354566 0.629786i
\(617\) 6.15144 + 38.8387i 0.247648 + 1.56359i 0.727420 + 0.686193i \(0.240719\pi\)
−0.479772 + 0.877393i \(0.659281\pi\)
\(618\) 16.0459 14.0505i 0.645459 0.565194i
\(619\) −16.7641 12.1798i −0.673805 0.489548i 0.197492 0.980305i \(-0.436720\pi\)
−0.871297 + 0.490757i \(0.836720\pi\)
\(620\) −17.8111 + 7.13788i −0.715311 + 0.286664i
\(621\) −6.46980 + 4.70059i −0.259624 + 0.188628i
\(622\) 5.39042 23.7393i 0.216136 0.951858i
\(623\) 8.39825 16.4825i 0.336469 0.660358i
\(624\) 13.8335 + 3.75131i 0.553781 + 0.150173i
\(625\) −11.6208 22.1350i −0.464832 0.885399i
\(626\) −18.7761 1.24484i −0.750445 0.0497537i
\(627\) 12.6756 + 6.45852i 0.506213 + 0.257928i
\(628\) 2.18806 7.34616i 0.0873131 0.293144i
\(629\) 13.9997 + 19.2689i 0.558205 + 0.768303i
\(630\) 4.88352 + 10.1782i 0.194564 + 0.405510i
\(631\) −3.00791 + 4.14003i −0.119743 + 0.164812i −0.864681 0.502322i \(-0.832479\pi\)
0.744938 + 0.667134i \(0.232479\pi\)
\(632\) −15.1228 + 10.0554i −0.601553 + 0.399984i
\(633\) 19.3976 3.07228i 0.770987 0.122112i
\(634\) −13.1983 5.27710i −0.524171 0.209580i
\(635\) 5.08468 0.215320i 0.201780 0.00854472i
\(636\) 1.89139 0.347606i 0.0749985 0.0137835i
\(637\) −18.3405 + 9.34497i −0.726679 + 0.370261i
\(638\) 8.83215 3.78672i 0.349668 0.149918i
\(639\) 0.406036 + 1.24965i 0.0160625 + 0.0494354i
\(640\) 2.70008 25.1537i 0.106730 0.994288i
\(641\) −5.97115 + 18.3773i −0.235846 + 0.725860i 0.761162 + 0.648562i \(0.224629\pi\)
−0.997008 + 0.0772982i \(0.975371\pi\)
\(642\) −0.893114 9.80059i −0.0352484 0.386798i
\(643\) 32.4834 + 32.4834i 1.28102 + 1.28102i 0.940087 + 0.340934i \(0.110743\pi\)
0.340934 + 0.940087i \(0.389257\pi\)
\(644\) −39.3663 + 41.3586i −1.55125 + 1.62976i
\(645\) −19.8606 9.08249i −0.782011 0.357623i
\(646\) 31.4537 + 49.9343i 1.23753 + 1.96464i
\(647\) 7.74473 48.8983i 0.304477 1.92239i −0.0749889 0.997184i \(-0.523892\pi\)
0.379466 0.925206i \(-0.376108\pi\)
\(648\) 2.21725 + 1.75607i 0.0871020 + 0.0689849i
\(649\) 0.674201i 0.0264647i
\(650\) 14.5125 20.7696i 0.569227 0.814652i
\(651\) 15.3172i 0.600328i
\(652\) 21.5830 + 14.8815i 0.845256 + 0.582803i
\(653\) 4.30130 27.1573i 0.168323 1.06275i −0.748407 0.663240i \(-0.769181\pi\)
0.916730 0.399508i \(-0.130819\pi\)
\(654\) 1.12676 0.709748i 0.0440598 0.0277533i
\(655\) −3.47559 + 30.1532i −0.135803 + 1.17818i
\(656\) 15.4556 + 19.2040i 0.603440 + 0.749788i
\(657\) 0.580278 + 0.580278i 0.0226388 + 0.0226388i
\(658\) 3.64683 0.332330i 0.142168 0.0129556i
\(659\) −9.63281 + 29.6468i −0.375241 + 1.15487i 0.568075 + 0.822977i \(0.307688\pi\)
−0.943316 + 0.331897i \(0.892312\pi\)
\(660\) −7.30438 3.12483i −0.284323 0.121634i
\(661\) −4.52162 13.9161i −0.175871 0.541275i 0.823801 0.566879i \(-0.191849\pi\)
−0.999672 + 0.0256039i \(0.991849\pi\)
\(662\) 4.09658 + 9.55486i 0.159218 + 0.371360i
\(663\) 16.6374 8.47716i 0.646142 0.329226i
\(664\) 0.229294 + 1.97548i 0.00889833 + 0.0766633i
\(665\) −50.0802 + 39.7284i −1.94203 + 1.54060i
\(666\) −2.39974 + 6.00187i −0.0929880 + 0.232568i
\(667\) −30.2123 + 4.78516i −1.16983 + 0.185282i
\(668\) −12.7908 16.7213i −0.494891 0.646968i
\(669\) 3.89379 5.35934i 0.150543 0.207204i
\(670\) −5.75991 42.9868i −0.222525 1.66073i
\(671\) −10.6192 14.6160i −0.409949 0.564246i
\(672\) 17.8365 + 9.47007i 0.688059 + 0.365316i
\(673\) −16.1307 8.21898i −0.621791 0.316818i 0.114562 0.993416i \(-0.463454\pi\)
−0.736353 + 0.676598i \(0.763454\pi\)
\(674\) −0.779880 + 11.7631i −0.0300399 + 0.453097i
\(675\) 4.24718 2.63846i 0.163474 0.101554i
\(676\) −0.317611 0.0423005i −0.0122158 0.00162694i
\(677\) 5.17897 10.1643i 0.199044 0.390646i −0.769812 0.638271i \(-0.779650\pi\)
0.968856 + 0.247625i \(0.0796500\pi\)
\(678\) −8.08432 1.83569i −0.310476 0.0704992i
\(679\) −24.6548 + 17.9128i −0.946165 + 0.687429i
\(680\) −19.3931 26.6478i −0.743693 1.02190i
\(681\) 5.18818 + 3.76943i 0.198812 + 0.144445i
\(682\) 7.10129 + 8.10977i 0.271922 + 0.310539i
\(683\) 4.41481 + 27.8740i 0.168928 + 1.06657i 0.915810 + 0.401612i \(0.131550\pi\)
−0.746882 + 0.664957i \(0.768450\pi\)
\(684\) −6.91678 + 14.4454i −0.264470 + 0.552332i
\(685\) 23.8944 35.9978i 0.912957 1.37540i
\(686\) 6.14473 1.55564i 0.234607 0.0593947i
\(687\) −5.22643 10.2575i −0.199401 0.391346i
\(688\) −38.2371 + 8.00738i −1.45778 + 0.305278i
\(689\) 3.27680 1.06470i 0.124836 0.0405617i
\(690\) 20.0985 + 15.3489i 0.765138 + 0.584321i
\(691\) −18.6645 6.06447i −0.710032 0.230703i −0.0683357 0.997662i \(-0.521769\pi\)
−0.641696 + 0.766959i \(0.721769\pi\)
\(692\) 0.916374 + 37.1294i 0.0348353 + 1.41145i
\(693\) 4.48446 4.48446i 0.170351 0.170351i
\(694\) 3.70583 + 3.08683i 0.140672 + 0.117174i
\(695\) 21.7217 + 19.9568i 0.823953 + 0.757004i
\(696\) 4.50718 + 9.83514i 0.170844 + 0.372800i
\(697\) 31.7189 + 5.02378i 1.20144 + 0.190289i
\(698\) −6.57647 3.91929i −0.248923 0.148347i
\(699\) −28.6706 −1.08442
\(700\) 26.4197 24.0093i 0.998572 0.907468i
\(701\) −17.2805 −0.652676 −0.326338 0.945253i \(-0.605815\pi\)
−0.326338 + 0.945253i \(0.605815\pi\)
\(702\) 4.35309 + 2.59425i 0.164297 + 0.0979138i
\(703\) −36.1508 5.72573i −1.36345 0.215950i
\(704\) −13.8341 + 3.25531i −0.521393 + 0.122689i
\(705\) −0.321266 1.58975i −0.0120996 0.0598733i
\(706\) −14.5952 12.1572i −0.549296 0.457544i
\(707\) 17.5211 17.5211i 0.658948 0.658948i
\(708\) 0.758793 0.0187274i 0.0285172 0.000703820i
\(709\) 40.5291 + 13.1687i 1.52210 + 0.494561i 0.946372 0.323078i \(-0.104718\pi\)
0.575730 + 0.817640i \(0.304718\pi\)
\(710\) 3.41891 2.36135i 0.128310 0.0886198i
\(711\) −6.10652 + 1.98413i −0.229012 + 0.0744107i
\(712\) −14.1150 + 3.94648i −0.528983 + 0.147901i
\(713\) −15.5775 30.5726i −0.583382 1.14495i
\(714\) 25.5042 6.45682i 0.954470 0.241640i
\(715\) −13.7113 3.82187i −0.512775 0.142930i
\(716\) 18.7903 + 8.99724i 0.702227 + 0.336243i
\(717\) −0.0815630 0.514969i −0.00304603 0.0192319i
\(718\) 2.08285 + 2.37865i 0.0777314 + 0.0887703i
\(719\) 31.8154 + 23.1153i 1.18652 + 0.862054i 0.992892 0.119022i \(-0.0379759\pi\)
0.193624 + 0.981076i \(0.437976\pi\)
\(720\) 3.31401 8.30767i 0.123506 0.309608i
\(721\) 43.5568 31.6458i 1.62214 1.17855i
\(722\) −62.2358 14.1317i −2.31618 0.525929i
\(723\) 2.81180 5.51847i 0.104572 0.205234i
\(724\) 3.82503 28.7200i 0.142156 1.06737i
\(725\) 19.0565 1.61686i 0.707741 0.0600488i
\(726\) 0.733855 11.0689i 0.0272359 0.410805i
\(727\) 18.3617 + 9.35574i 0.680997 + 0.346985i 0.760031 0.649887i \(-0.225184\pi\)
−0.0790342 + 0.996872i \(0.525184\pi\)
\(728\) 33.9167 + 12.5996i 1.25704 + 0.466971i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 1.23302 2.28344i 0.0456361 0.0845141i
\(731\) −29.9150 + 41.1744i −1.10644 + 1.52289i
\(732\) 16.1550 12.3576i 0.597104 0.456749i
\(733\) −47.2049 + 7.47652i −1.74355 + 0.276151i −0.945307 0.326182i \(-0.894238\pi\)
−0.798244 + 0.602334i \(0.794238\pi\)
\(734\) −16.3383 + 40.8629i −0.603057 + 1.50828i
\(735\) 4.48266 + 12.0375i 0.165345 + 0.444011i
\(736\) 45.2321 + 0.762277i 1.66728 + 0.0280979i
\(737\) −21.7092 + 11.0614i −0.799669 + 0.407452i
\(738\) 3.43433 + 8.01023i 0.126420 + 0.294861i
\(739\) 1.15571 + 3.55691i 0.0425135 + 0.130843i 0.970060 0.242864i \(-0.0780867\pi\)
−0.927547 + 0.373707i \(0.878087\pi\)
\(740\) 20.3576 + 1.83884i 0.748360 + 0.0675971i
\(741\) −8.86715 + 27.2903i −0.325743 + 1.00253i
\(742\) 4.83443 0.440555i 0.177477 0.0161733i
\(743\) −2.21502 2.21502i −0.0812612 0.0812612i 0.665308 0.746569i \(-0.268300\pi\)
−0.746569 + 0.665308i \(0.768300\pi\)
\(744\) −8.93005 + 8.21756i −0.327391 + 0.301270i
\(745\) 11.8414 + 20.9938i 0.433836 + 0.769154i
\(746\) −1.17835 + 0.742244i −0.0431424 + 0.0271755i
\(747\) −0.109993 + 0.694468i −0.00402443 + 0.0254093i
\(748\) −10.5098 + 15.2427i −0.384277 + 0.557329i
\(749\) 24.8425i 0.907723i
\(750\) −11.8386 10.4808i −0.432286 0.382704i
\(751\) 6.92884i 0.252837i −0.991977 0.126419i \(-0.959652\pi\)
0.991977 0.126419i \(-0.0403482\pi\)
\(752\) −2.15024 1.94784i −0.0784113 0.0710302i
\(753\) −2.11286 + 13.3401i −0.0769968 + 0.486139i
\(754\) 10.3308 + 16.4007i 0.376226 + 0.597277i
\(755\) 5.86031 + 10.3898i 0.213278 + 0.378125i
\(756\) 5.17169 + 4.92256i 0.188093 + 0.179032i
\(757\) −22.6524 22.6524i −0.823315 0.823315i 0.163267 0.986582i \(-0.447797\pi\)
−0.986582 + 0.163267i \(0.947797\pi\)
\(758\) −0.591569 6.49159i −0.0214868 0.235785i
\(759\) 4.39015 13.5115i 0.159352 0.490436i
\(760\) 50.0296 + 7.88314i 1.81476 + 0.285952i
\(761\) 0.235070 + 0.723470i 0.00852126 + 0.0262258i 0.955227 0.295875i \(-0.0956111\pi\)
−0.946705 + 0.322100i \(0.895611\pi\)
\(762\) 2.95828 1.26834i 0.107167 0.0459473i
\(763\) 2.99517 1.52612i 0.108433 0.0552491i
\(764\) −4.85140 26.3974i −0.175518 0.955025i
\(765\) −4.06638 10.9197i −0.147020 0.394802i
\(766\) 0.00542958 + 0.00217092i 0.000196179 + 7.84385e-5i
\(767\) 1.34315 0.212734i 0.0484984 0.00768139i
\(768\) −4.04803 15.4795i −0.146071 0.558567i
\(769\) −30.0152 + 41.3124i −1.08238 + 1.48976i −0.225499 + 0.974243i \(0.572401\pi\)
−0.856878 + 0.515520i \(0.827599\pi\)
\(770\) −17.6467 9.52892i −0.635944 0.343399i
\(771\) 16.0976 + 22.1564i 0.579741 + 0.797944i
\(772\) 5.18278 + 1.54370i 0.186532 + 0.0555588i
\(773\) 17.0506 + 8.68774i 0.613269 + 0.312476i 0.732894 0.680343i \(-0.238169\pi\)
−0.119625 + 0.992819i \(0.538169\pi\)