Properties

Label 43.7.f.a.2.2
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.62328 - 11.6769i) q^{2} +(-22.1545 + 46.0043i) q^{3} +(-64.8243 + 81.2871i) q^{4} +(43.4728 + 9.92237i) q^{5} +661.767 q^{6} +306.680i q^{7} +(505.038 + 115.272i) q^{8} +(-1171.05 - 1468.45i) q^{9} +O(q^{10})\) \(q+(-5.62328 - 11.6769i) q^{2} +(-22.1545 + 46.0043i) q^{3} +(-64.8243 + 81.2871i) q^{4} +(43.4728 + 9.92237i) q^{5} +661.767 q^{6} +306.680i q^{7} +(505.038 + 115.272i) q^{8} +(-1171.05 - 1468.45i) q^{9} +(-128.597 - 563.421i) q^{10} +(-52.9573 - 66.4064i) q^{11} +(-2303.41 - 4783.08i) q^{12} +(-263.570 + 1154.78i) q^{13} +(3581.06 - 1724.55i) q^{14} +(-1419.59 + 1780.11i) q^{15} +(-13.2846 - 58.2037i) q^{16} +(-1863.88 - 8166.18i) q^{17} +(-10561.8 + 21931.7i) q^{18} +(5004.02 + 3990.57i) q^{19} +(-3624.65 + 2890.56i) q^{20} +(-14108.6 - 6794.35i) q^{21} +(-477.624 + 991.796i) q^{22} +(-12375.5 - 15518.4i) q^{23} +(-16491.9 + 20680.2i) q^{24} +(-12286.2 - 5916.73i) q^{25} +(14966.3 - 3415.96i) q^{26} +(57209.2 - 13057.6i) q^{27} +(-24929.1 - 19880.3i) q^{28} +(3107.44 + 6452.67i) q^{29} +(28768.8 + 6566.30i) q^{30} +(8276.17 - 3985.59i) q^{31} +(25315.7 - 20188.6i) q^{32} +(4228.23 - 965.065i) q^{33} +(-84874.2 + 67684.9i) q^{34} +(-3042.99 + 13332.2i) q^{35} +195279. q^{36} -100299. i q^{37} +(18458.3 - 80871.2i) q^{38} +(-47285.4 - 37708.9i) q^{39} +(20811.6 + 10022.4i) q^{40} +(-11487.4 + 5532.06i) q^{41} +202951. i q^{42} +(-44777.2 + 65699.0i) q^{43} +8830.90 q^{44} +(-36338.4 - 75457.4i) q^{45} +(-111615. + 231771. i) q^{46} +(49831.3 - 62486.4i) q^{47} +(2971.94 + 678.325i) q^{48} +23596.4 q^{49} +176736. i q^{50} +(416973. + 95171.4i) q^{51} +(-76782.7 - 96282.4i) q^{52} +(49112.1 + 215174. i) q^{53} +(-474175. - 594597. i) q^{54} +(-1643.29 - 3412.33i) q^{55} +(-35351.5 + 154885. i) q^{56} +(-294445. + 141797. i) q^{57} +(57872.9 - 72570.3i) q^{58} +(-22744.7 - 99651.1i) q^{59} +(-52676.1 - 230789. i) q^{60} +(-48578.6 + 100875. i) q^{61} +(-93078.3 - 74227.5i) q^{62} +(450345. - 359138. i) q^{63} +(-381538. - 183739. i) q^{64} +(-22916.2 + 47586.0i) q^{65} +(-35045.4 - 43945.5i) q^{66} +(-94711.9 + 118765. i) q^{67} +(784630. + 377858. i) q^{68} +(988086. - 225524. i) q^{69} +(172790. - 39438.2i) q^{70} +(21411.2 + 17074.9i) q^{71} +(-422155. - 876615. i) q^{72} +(-529084. - 120760. i) q^{73} +(-1.17117e6 + 564007. i) q^{74} +(544390. - 434137. i) q^{75} +(-648764. + 148076. i) q^{76} +(20365.5 - 16240.9i) q^{77} +(-174422. + 764193. i) q^{78} -169739. q^{79} -2662.09i q^{80} +(-362054. + 1.58626e6i) q^{81} +(129194. + 103029. i) q^{82} +(-586495. - 282441. i) q^{83} +(1.46687e6 - 706409. i) q^{84} -373501. i q^{85} +(1.01895e6 + 153413. i) q^{86} -365695. q^{87} +(-19090.7 - 39642.2i) q^{88} +(-29735.1 + 61745.6i) q^{89} +(-676764. + 848635. i) q^{90} +(-354147. - 80831.6i) q^{91} +2.06368e6 q^{92} +469039. i q^{93} +(-1.00986e6 - 230494. i) q^{94} +(177942. + 223133. i) q^{95} +(367905. + 1.61190e6i) q^{96} +(-527551. - 661528. i) q^{97} +(-132689. - 275532. i) q^{98} +(-35498.9 + 155531. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.62328 11.6769i −0.702910 1.45961i −0.879784 0.475373i \(-0.842313\pi\)
0.176875 0.984233i \(-0.443401\pi\)
\(3\) −22.1545 + 46.0043i −0.820538 + 1.70386i −0.117086 + 0.993122i \(0.537355\pi\)
−0.703452 + 0.710743i \(0.748359\pi\)
\(4\) −64.8243 + 81.2871i −1.01288 + 1.27011i
\(5\) 43.4728 + 9.92237i 0.347782 + 0.0793790i 0.392844 0.919605i \(-0.371491\pi\)
−0.0450617 + 0.998984i \(0.514348\pi\)
\(6\) 661.767 3.06374
\(7\) 306.680i 0.894110i 0.894506 + 0.447055i \(0.147527\pi\)
−0.894506 + 0.447055i \(0.852473\pi\)
\(8\) 505.038 + 115.272i 0.986403 + 0.225140i
\(9\) −1171.05 1468.45i −1.60638 2.01434i
\(10\) −128.597 563.421i −0.128597 0.563421i
\(11\) −52.9573 66.4064i −0.0397876 0.0498921i 0.761540 0.648118i \(-0.224444\pi\)
−0.801327 + 0.598226i \(0.795872\pi\)
\(12\) −2303.41 4783.08i −1.33299 2.76799i
\(13\) −263.570 + 1154.78i −0.119968 + 0.525615i 0.878854 + 0.477091i \(0.158309\pi\)
−0.998822 + 0.0485238i \(0.984548\pi\)
\(14\) 3581.06 1724.55i 1.30505 0.628479i
\(15\) −1419.59 + 1780.11i −0.420619 + 0.527440i
\(16\) −13.2846 58.2037i −0.00324331 0.0142099i
\(17\) −1863.88 8166.18i −0.379377 1.66216i −0.699386 0.714744i \(-0.746543\pi\)
0.320009 0.947414i \(-0.396314\pi\)
\(18\) −10561.8 + 21931.7i −1.81100 + 3.76059i
\(19\) 5004.02 + 3990.57i 0.729555 + 0.581801i 0.916245 0.400618i \(-0.131205\pi\)
−0.186690 + 0.982419i \(0.559776\pi\)
\(20\) −3624.65 + 2890.56i −0.453082 + 0.361321i
\(21\) −14108.6 6794.35i −1.52344 0.733652i
\(22\) −477.624 + 991.796i −0.0448557 + 0.0931439i
\(23\) −12375.5 15518.4i −1.01714 1.27545i −0.960861 0.277033i \(-0.910649\pi\)
−0.0562752 0.998415i \(-0.517922\pi\)
\(24\) −16491.9 + 20680.2i −1.19299 + 1.49596i
\(25\) −12286.2 5916.73i −0.786318 0.378671i
\(26\) 14966.3 3415.96i 0.851518 0.194353i
\(27\) 57209.2 13057.6i 2.90653 0.663396i
\(28\) −24929.1 19880.3i −1.13562 0.905627i
\(29\) 3107.44 + 6452.67i 0.127412 + 0.264573i 0.954910 0.296895i \(-0.0959511\pi\)
−0.827498 + 0.561468i \(0.810237\pi\)
\(30\) 28768.8 + 6566.30i 1.06551 + 0.243196i
\(31\) 8276.17 3985.59i 0.277808 0.133785i −0.289792 0.957090i \(-0.593586\pi\)
0.567600 + 0.823304i \(0.307872\pi\)
\(32\) 25315.7 20188.6i 0.772572 0.616106i
\(33\) 4228.23 965.065i 0.117657 0.0268544i
\(34\) −84874.2 + 67684.9i −2.15943 + 1.72209i
\(35\) −3042.99 + 13332.2i −0.0709736 + 0.310956i
\(36\) 195279. 4.18551
\(37\) 100299.i 1.98011i −0.140670 0.990057i \(-0.544926\pi\)
0.140670 0.990057i \(-0.455074\pi\)
\(38\) 18458.3 80871.2i 0.336389 1.47382i
\(39\) −47285.4 37708.9i −0.797138 0.635697i
\(40\) 20811.6 + 10022.4i 0.325182 + 0.156599i
\(41\) −11487.4 + 5532.06i −0.166675 + 0.0802667i −0.515361 0.856973i \(-0.672342\pi\)
0.348686 + 0.937240i \(0.386628\pi\)
\(42\) 202951.i 2.73932i
\(43\) −44777.2 + 65699.0i −0.563186 + 0.826330i
\(44\) 8830.90 0.103669
\(45\) −36338.4 75457.4i −0.398775 0.828064i
\(46\) −111615. + 231771.i −1.14670 + 2.38114i
\(47\) 49831.3 62486.4i 0.479964 0.601855i −0.481616 0.876383i \(-0.659950\pi\)
0.961579 + 0.274527i \(0.0885213\pi\)
\(48\) 2971.94 + 678.325i 0.0268730 + 0.00613359i
\(49\) 23596.4 0.200566
\(50\) 176736.i 1.41389i
\(51\) 416973. + 95171.4i 3.14339 + 0.717457i
\(52\) −76782.7 96282.4i −0.546076 0.684758i
\(53\) 49112.1 + 215174.i 0.329884 + 1.44531i 0.819351 + 0.573293i \(0.194334\pi\)
−0.489467 + 0.872022i \(0.662809\pi\)
\(54\) −474175. 594597.i −3.01132 3.77608i
\(55\) −1643.29 3412.33i −0.00987703 0.0205099i
\(56\) −35351.5 + 154885.i −0.201300 + 0.881953i
\(57\) −294445. + 141797.i −1.58994 + 0.765673i
\(58\) 57872.9 72570.3i 0.296614 0.371942i
\(59\) −22744.7 99651.1i −0.110745 0.485206i −0.999633 0.0270815i \(-0.991379\pi\)
0.888888 0.458124i \(-0.151479\pi\)
\(60\) −52676.1 230789.i −0.243871 1.06847i
\(61\) −48578.6 + 100875.i −0.214021 + 0.444418i −0.980147 0.198271i \(-0.936467\pi\)
0.766127 + 0.642690i \(0.222182\pi\)
\(62\) −93078.3 74227.5i −0.390547 0.311451i
\(63\) 450345. 359138.i 1.80104 1.43628i
\(64\) −381538. 183739.i −1.45545 0.700909i
\(65\) −22916.2 + 47586.0i −0.0834455 + 0.173276i
\(66\) −35045.4 43945.5i −0.121899 0.152856i
\(67\) −94711.9 + 118765.i −0.314906 + 0.394879i −0.913943 0.405842i \(-0.866978\pi\)
0.599038 + 0.800721i \(0.295550\pi\)
\(68\) 784630. + 377858.i 2.49539 + 1.20172i
\(69\) 988086. 225524.i 3.00779 0.686508i
\(70\) 172790. 39438.2i 0.503761 0.114980i
\(71\) 21411.2 + 17074.9i 0.0598227 + 0.0477070i 0.652945 0.757406i \(-0.273533\pi\)
−0.593122 + 0.805113i \(0.702105\pi\)
\(72\) −422155. 876615.i −1.13103 2.34861i
\(73\) −529084. 120760.i −1.36005 0.310423i −0.520574 0.853816i \(-0.674282\pi\)
−0.839478 + 0.543393i \(0.817139\pi\)
\(74\) −1.17117e6 + 564007.i −2.89019 + 1.39184i
\(75\) 544390. 434137.i 1.29041 1.02907i
\(76\) −648764. + 148076.i −1.47790 + 0.337322i
\(77\) 20365.5 16240.9i 0.0446090 0.0355745i
\(78\) −174422. + 764193.i −0.367551 + 1.61035i
\(79\) −169739. −0.344272 −0.172136 0.985073i \(-0.555067\pi\)
−0.172136 + 0.985073i \(0.555067\pi\)
\(80\) 2662.09i 0.00519940i
\(81\) −362054. + 1.58626e6i −0.681269 + 2.98483i
\(82\) 129194. + 103029.i 0.234316 + 0.186860i
\(83\) −586495. 282441.i −1.02572 0.493962i −0.156132 0.987736i \(-0.549903\pi\)
−0.869590 + 0.493774i \(0.835617\pi\)
\(84\) 1.46687e6 706409.i 2.47488 1.19184i
\(85\) 373501.i 0.608183i
\(86\) 1.01895e6 + 153413.i 1.60199 + 0.241195i
\(87\) −365695. −0.555343
\(88\) −19090.7 39642.2i −0.0280139 0.0581715i
\(89\) −29735.1 + 61745.6i −0.0421793 + 0.0875863i −0.920994 0.389578i \(-0.872621\pi\)
0.878814 + 0.477164i \(0.158335\pi\)
\(90\) −676764. + 848635.i −0.928346 + 1.16411i
\(91\) −354147. 80831.6i −0.469958 0.107265i
\(92\) 2.06368e6 2.65020
\(93\) 469039.i 0.583122i
\(94\) −1.00986e6 230494.i −1.21584 0.277508i
\(95\) 177942. + 223133.i 0.207543 + 0.260251i
\(96\) 367905. + 1.61190e6i 0.415836 + 1.82190i
\(97\) −527551. 661528.i −0.578028 0.724825i 0.403747 0.914871i \(-0.367708\pi\)
−0.981775 + 0.190046i \(0.939136\pi\)
\(98\) −132689. 275532.i −0.140980 0.292748i
\(99\) −35498.9 + 155531.i −0.0365855 + 0.160292i
\(100\) 1.27740e6 615163.i 1.27740 0.615163i
\(101\) −502808. + 630501.i −0.488020 + 0.611958i −0.963480 0.267779i \(-0.913710\pi\)
0.475460 + 0.879737i \(0.342282\pi\)
\(102\) −1.23345e6 5.40411e6i −1.16231 5.09241i
\(103\) −305278. 1.33751e6i −0.279373 1.22401i −0.898589 0.438792i \(-0.855407\pi\)
0.619216 0.785221i \(-0.287451\pi\)
\(104\) −266226. + 552824.i −0.236674 + 0.491458i
\(105\) −545924. 435360.i −0.471590 0.376080i
\(106\) 2.23639e6 1.78346e6i 1.87771 1.49743i
\(107\) 1.33134e6 + 641140.i 1.08677 + 0.523361i 0.889475 0.456983i \(-0.151070\pi\)
0.197295 + 0.980344i \(0.436784\pi\)
\(108\) −2.64713e6 + 5.49683e6i −2.10138 + 4.36356i
\(109\) −13494.7 16921.8i −0.0104204 0.0130668i 0.776594 0.630001i \(-0.216946\pi\)
−0.787014 + 0.616935i \(0.788374\pi\)
\(110\) −30604.6 + 38376.9i −0.0229937 + 0.0288332i
\(111\) 4.61417e6 + 2.22207e6i 3.37384 + 1.62476i
\(112\) 17849.9 4074.12i 0.0127052 0.00289988i
\(113\) −1.69353e6 + 386536.i −1.17370 + 0.267889i −0.764541 0.644575i \(-0.777034\pi\)
−0.409157 + 0.912464i \(0.634177\pi\)
\(114\) 3.31149e6 + 2.64083e6i 2.23516 + 1.78248i
\(115\) −384018. 797421.i −0.252498 0.524317i
\(116\) −725957. 165695.i −0.465090 0.106154i
\(117\) 2.00439e6 965263.i 1.25148 0.602682i
\(118\) −1.03571e6 + 825952.i −0.630366 + 0.502700i
\(119\) 2.50440e6 571614.i 1.48615 0.339205i
\(120\) −922144. + 735385.i −0.533648 + 0.425570i
\(121\) 392604. 1.72011e6i 0.221615 0.970958i
\(122\) 1.45107e6 0.799113
\(123\) 651032.i 0.349854i
\(124\) −212520. + 931109.i −0.111464 + 0.488355i
\(125\) −1.02013e6 813529.i −0.522308 0.416527i
\(126\) −6.72602e6 3.23908e6i −3.36238 1.61924i
\(127\) −1.78481e6 + 859519.i −0.871326 + 0.419609i −0.815449 0.578829i \(-0.803510\pi\)
−0.0558773 + 0.998438i \(0.517796\pi\)
\(128\) 3.41607e6i 1.62891i
\(129\) −2.03042e6 3.51548e6i −0.945839 1.63763i
\(130\) 684520. 0.311570
\(131\) −951129. 1.97504e6i −0.423083 0.878541i −0.998171 0.0604494i \(-0.980747\pi\)
0.575088 0.818091i \(-0.304968\pi\)
\(132\) −195644. + 406260.i −0.0850640 + 0.176637i
\(133\) −1.22383e6 + 1.53463e6i −0.520194 + 0.652303i
\(134\) 1.91939e6 + 438089.i 0.797718 + 0.182074i
\(135\) 2.61660e6 1.06350
\(136\) 4.33909e6i 1.72497i
\(137\) −4.11844e6 940007.i −1.60166 0.365569i −0.673924 0.738801i \(-0.735392\pi\)
−0.927738 + 0.373232i \(0.878250\pi\)
\(138\) −8.18969e6 1.02695e7i −3.11624 3.90764i
\(139\) 530487. + 2.32422e6i 0.197529 + 0.865431i 0.972402 + 0.233313i \(0.0749568\pi\)
−0.774873 + 0.632117i \(0.782186\pi\)
\(140\) −886478. 1.11161e6i −0.323060 0.405105i
\(141\) 1.77066e6 + 3.67681e6i 0.631652 + 1.31164i
\(142\) 78979.6 346032.i 0.0275835 0.120851i
\(143\) 90642.4 43651.1i 0.0309973 0.0149275i
\(144\) −69912.5 + 87667.5i −0.0234135 + 0.0293597i
\(145\) 71063.3 + 311349.i 0.0233100 + 0.102128i
\(146\) 1.56509e6 + 6.85710e6i 0.502898 + 2.20334i
\(147\) −522768. + 1.08554e6i −0.164572 + 0.341738i
\(148\) 8.15299e6 + 6.50179e6i 2.51496 + 2.00562i
\(149\) 2.10003e6 1.67472e6i 0.634844 0.506271i −0.252369 0.967631i \(-0.581210\pi\)
0.887213 + 0.461360i \(0.152638\pi\)
\(150\) −8.13061e6 3.91550e6i −2.40907 1.16015i
\(151\) 506133. 1.05100e6i 0.147006 0.305260i −0.814444 0.580243i \(-0.802958\pi\)
0.961449 + 0.274982i \(0.0886720\pi\)
\(152\) 2.06722e6 + 2.59221e6i 0.588648 + 0.738141i
\(153\) −9.80897e6 + 1.23001e7i −2.73873 + 3.43426i
\(154\) −304164. 146478.i −0.0832809 0.0401060i
\(155\) 399334. 91145.4i 0.107236 0.0244760i
\(156\) 6.13049e6 1.39925e6i 1.61481 0.368570i
\(157\) 2.27653e6 + 1.81547e6i 0.588266 + 0.469127i 0.871818 0.489830i \(-0.162941\pi\)
−0.283552 + 0.958957i \(0.591513\pi\)
\(158\) 954491. + 1.98202e6i 0.241992 + 0.502501i
\(159\) −1.09870e7 2.50771e6i −2.73330 0.623859i
\(160\) 1.30086e6 626461.i 0.317593 0.152945i
\(161\) 4.75917e6 3.79531e6i 1.14039 0.909432i
\(162\) 2.05585e7 4.69234e6i 4.83555 1.10368i
\(163\) −2.54045e6 + 2.02594e6i −0.586609 + 0.467805i −0.871257 0.490827i \(-0.836695\pi\)
0.284648 + 0.958632i \(0.408123\pi\)
\(164\) 294980. 1.29239e6i 0.0668746 0.292997i
\(165\) 193388. 0.0430505
\(166\) 8.43666e6i 1.84436i
\(167\) 520527. 2.28058e6i 0.111762 0.489661i −0.887805 0.460221i \(-0.847770\pi\)
0.999567 0.0294404i \(-0.00937251\pi\)
\(168\) −6.34219e6 5.05773e6i −1.33755 1.06666i
\(169\) 3.08477e6 + 1.48555e6i 0.639090 + 0.307770i
\(170\) −4.36131e6 + 2.10030e6i −0.887708 + 0.427498i
\(171\) 1.20213e7i 2.40417i
\(172\) −2.43783e6 7.89871e6i −0.479091 1.55228i
\(173\) 2.87790e6 0.555823 0.277912 0.960607i \(-0.410358\pi\)
0.277912 + 0.960607i \(0.410358\pi\)
\(174\) 2.05640e6 + 4.27017e6i 0.390356 + 0.810582i
\(175\) 1.81454e6 3.76793e6i 0.338573 0.703055i
\(176\) −3161.58 + 3964.49i −0.000579917 + 0.000727193i
\(177\) 5.08828e6 + 1.16137e6i 0.917595 + 0.209435i
\(178\) 888203. 0.157490
\(179\) 9.01779e6i 1.57232i 0.618023 + 0.786160i \(0.287934\pi\)
−0.618023 + 0.786160i \(0.712066\pi\)
\(180\) 8.48932e6 + 1.93763e6i 1.45564 + 0.332241i
\(181\) −4.04989e6 5.07840e6i −0.682979 0.856429i 0.312646 0.949870i \(-0.398785\pi\)
−0.995625 + 0.0934411i \(0.970213\pi\)
\(182\) 1.04760e6 + 4.58986e6i 0.173773 + 0.761351i
\(183\) −3.56443e6 4.46965e6i −0.581617 0.729324i
\(184\) −4.46127e6 9.26391e6i −0.716151 1.48710i
\(185\) 995201. 4.36026e6i 0.157179 0.688648i
\(186\) 5.47689e6 2.63753e6i 0.851129 0.409882i
\(187\) −443581. + 556232.i −0.0678340 + 0.0850612i
\(188\) 1.84906e6 + 8.10128e6i 0.278278 + 1.21921i
\(189\) 4.00451e6 + 1.75449e7i 0.593150 + 2.59876i
\(190\) 1.60487e6 3.33255e6i 0.233980 0.485865i
\(191\) −6.91069e6 5.51109e6i −0.991793 0.790929i −0.0138721 0.999904i \(-0.504416\pi\)
−0.977921 + 0.208975i \(0.932987\pi\)
\(192\) 1.69056e7 1.34818e7i 2.38851 1.90477i
\(193\) 6.08812e6 + 2.93189e6i 0.846860 + 0.407826i 0.806411 0.591355i \(-0.201407\pi\)
0.0404489 + 0.999182i \(0.487121\pi\)
\(194\) −4.75800e6 + 9.88009e6i −0.651657 + 1.35318i
\(195\) −1.68147e6 2.10849e6i −0.226769 0.284360i
\(196\) −1.52962e6 + 1.91809e6i −0.203150 + 0.254742i
\(197\) −2.54963e6 1.22784e6i −0.333487 0.160599i 0.259645 0.965704i \(-0.416395\pi\)
−0.593132 + 0.805105i \(0.702109\pi\)
\(198\) 2.01573e6 460077.i 0.259679 0.0592700i
\(199\) −2.10256e6 + 479895.i −0.266802 + 0.0608958i −0.353829 0.935310i \(-0.615121\pi\)
0.0870270 + 0.996206i \(0.472263\pi\)
\(200\) −5.52297e6 4.40443e6i −0.690372 0.550553i
\(201\) −3.36541e6 6.98834e6i −0.414429 0.860570i
\(202\) 1.01897e7 + 2.32573e6i 1.23625 + 0.282166i
\(203\) −1.97891e6 + 952991.i −0.236558 + 0.113920i
\(204\) −3.47662e7 + 2.77251e7i −4.09512 + 3.26575i
\(205\) −554282. + 126511.i −0.0643382 + 0.0146848i
\(206\) −1.39013e7 + 1.10859e7i −1.59020 + 1.26814i
\(207\) −8.29566e6 + 3.63457e7i −0.935277 + 4.09771i
\(208\) 70713.7 0.00785802
\(209\) 543628.i 0.0595475i
\(210\) −2.01375e6 + 8.82282e6i −0.217444 + 0.952686i
\(211\) −3.77448e6 3.01005e6i −0.401800 0.320425i 0.401654 0.915792i \(-0.368435\pi\)
−0.803454 + 0.595366i \(0.797007\pi\)
\(212\) −2.06745e7 9.95634e6i −2.16984 1.04494i
\(213\) −1.25987e6 + 606723.i −0.130373 + 0.0627844i
\(214\) 1.91512e7i 1.95413i
\(215\) −2.59848e6 + 2.41182e6i −0.261459 + 0.242678i
\(216\) 3.03980e7 3.01637
\(217\) 1.22230e6 + 2.53813e6i 0.119619 + 0.248391i
\(218\) −121709. + 252732.i −0.0117477 + 0.0243944i
\(219\) 1.72771e7 2.16648e7i 1.64489 2.06263i
\(220\) 383904. + 87623.5i 0.0360541 + 0.00822911i
\(221\) 9.92138e6 0.919168
\(222\) 6.63744e7i 6.06654i
\(223\) 4.89056e6 + 1.11624e6i 0.441006 + 0.100657i 0.437258 0.899336i \(-0.355950\pi\)
0.00374802 + 0.999993i \(0.498807\pi\)
\(224\) 6.19142e6 + 7.76380e6i 0.550867 + 0.690765i
\(225\) 5.69936e6 + 2.49705e7i 0.500356 + 2.19220i
\(226\) 1.40367e7 + 1.76015e7i 1.21602 + 1.52484i
\(227\) −1.02707e6 2.13273e6i −0.0878054 0.182330i 0.852442 0.522822i \(-0.175121\pi\)
−0.940247 + 0.340492i \(0.889406\pi\)
\(228\) 7.56091e6 3.31265e7i 0.637925 2.79493i
\(229\) −1.89366e7 + 9.11938e6i −1.57687 + 0.759379i −0.998412 0.0563352i \(-0.982058\pi\)
−0.578455 + 0.815714i \(0.696344\pi\)
\(230\) −7.15193e6 + 8.96823e6i −0.587814 + 0.737095i
\(231\) 295966. + 1.29671e6i 0.0240108 + 0.105198i
\(232\) 825567. + 3.61705e6i 0.0661133 + 0.289661i
\(233\) −4.96110e6 + 1.03018e7i −0.392202 + 0.814417i 0.607594 + 0.794248i \(0.292135\pi\)
−0.999797 + 0.0201691i \(0.993580\pi\)
\(234\) −2.25425e7 1.79770e7i −1.75936 1.40304i
\(235\) 2.78632e6 2.22201e6i 0.214697 0.171215i
\(236\) 9.57476e6 + 4.61096e6i 0.728437 + 0.350797i
\(237\) 3.76049e6 7.80875e6i 0.282488 0.586592i
\(238\) −2.07576e7 2.60292e7i −1.53974 1.93077i
\(239\) 1.24191e7 1.55730e7i 0.909695 1.14072i −0.0798950 0.996803i \(-0.525459\pi\)
0.989590 0.143918i \(-0.0459701\pi\)
\(240\) 122468. + 58977.4i 0.00885907 + 0.00426630i
\(241\) 1.63723e7 3.73686e6i 1.16965 0.266966i 0.406788 0.913523i \(-0.366649\pi\)
0.762866 + 0.646557i \(0.223792\pi\)
\(242\) −2.22932e7 + 5.08828e6i −1.57299 + 0.359025i
\(243\) −3.15086e7 2.51273e7i −2.19589 1.75116i
\(244\) −5.05072e6 1.04879e7i −0.347684 0.721972i
\(245\) 1.02580e6 + 234133.i 0.0697534 + 0.0159208i
\(246\) −7.60201e6 + 3.66094e6i −0.510650 + 0.245916i
\(247\) −5.92712e6 + 4.72672e6i −0.393326 + 0.313667i
\(248\) 4.63921e6 1.05887e6i 0.304151 0.0694204i
\(249\) 2.59870e7 2.07240e7i 1.68329 1.34238i
\(250\) −3.76297e6 + 1.64866e7i −0.240830 + 1.05515i
\(251\) 1.45492e6 0.0920062 0.0460031 0.998941i \(-0.485352\pi\)
0.0460031 + 0.998941i \(0.485352\pi\)
\(252\) 5.98882e7i 3.74231i
\(253\) −375146. + 1.64362e6i −0.0231654 + 0.101494i
\(254\) 2.00730e7 + 1.60076e7i 1.22493 + 0.976847i
\(255\) 1.71827e7 + 8.27473e6i 1.03626 + 0.499038i
\(256\) 1.54705e7 7.45018e6i 0.922111 0.444065i
\(257\) 1.16981e7i 0.689154i −0.938758 0.344577i \(-0.888022\pi\)
0.938758 0.344577i \(-0.111978\pi\)
\(258\) −2.96321e7 + 4.34775e7i −1.72545 + 2.53166i
\(259\) 3.07596e7 1.77044
\(260\) −2.38260e6 4.94753e6i −0.135560 0.281493i
\(261\) 5.83647e6 1.21196e7i 0.328268 0.681656i
\(262\) −1.77138e7 + 2.22124e7i −0.984935 + 1.23507i
\(263\) 2.01559e6 + 460046.i 0.110799 + 0.0252891i 0.277561 0.960708i \(-0.410474\pi\)
−0.166762 + 0.985997i \(0.553331\pi\)
\(264\) 2.24666e6 0.122103
\(265\) 9.84152e6i 0.528840i
\(266\) 2.48016e7 + 5.66080e6i 1.31775 + 0.300769i
\(267\) −2.18180e6 2.73589e6i −0.114625 0.143736i
\(268\) −3.51443e6 1.53977e7i −0.182579 0.799930i
\(269\) 8.82193e6 + 1.10624e7i 0.453218 + 0.568317i 0.954973 0.296692i \(-0.0958836\pi\)
−0.501755 + 0.865010i \(0.667312\pi\)
\(270\) −1.47139e7 3.05537e7i −0.747543 1.55229i
\(271\) 529052. 2.31793e6i 0.0265822 0.116464i −0.959896 0.280356i \(-0.909548\pi\)
0.986478 + 0.163892i \(0.0524047\pi\)
\(272\) −450541. + 216969.i −0.0223886 + 0.0107818i
\(273\) 1.15646e7 1.45015e7i 0.568383 0.712730i
\(274\) 1.21828e7 + 5.33763e7i 0.592237 + 2.59476i
\(275\) 257736. + 1.12922e6i 0.0123930 + 0.0542974i
\(276\) −4.57198e7 + 9.49381e7i −2.17459 + 4.51558i
\(277\) −1.20403e7 9.60181e6i −0.566497 0.451766i 0.297885 0.954602i \(-0.403719\pi\)
−0.864382 + 0.502835i \(0.832290\pi\)
\(278\) 2.41565e7 1.92641e7i 1.12434 0.896634i
\(279\) −1.55445e7 7.48583e6i −0.715754 0.344689i
\(280\) −3.07365e6 + 6.38251e6i −0.140017 + 0.290748i
\(281\) 599696. + 751995.i 0.0270279 + 0.0338919i 0.795162 0.606397i \(-0.207386\pi\)
−0.768134 + 0.640289i \(0.778814\pi\)
\(282\) 3.29767e7 4.13515e7i 1.47048 1.84393i
\(283\) −1.18041e7 5.68457e6i −0.520805 0.250806i 0.154964 0.987920i \(-0.450474\pi\)
−0.675769 + 0.737114i \(0.736188\pi\)
\(284\) −2.77593e6 + 633589.i −0.121186 + 0.0276600i
\(285\) −1.42073e7 + 3.24273e6i −0.613730 + 0.140080i
\(286\) −1.01941e6 812956.i −0.0435766 0.0347511i
\(287\) −1.69657e6 3.52297e6i −0.0717673 0.149026i
\(288\) −5.92919e7 1.35330e7i −2.48209 0.566522i
\(289\) −4.14653e7 + 1.99686e7i −1.71787 + 0.827285i
\(290\) 3.23596e6 2.58060e6i 0.132681 0.105810i
\(291\) 4.21208e7 9.61380e6i 1.70930 0.390136i
\(292\) 4.41137e7 3.51795e7i 1.77184 1.41300i
\(293\) −83176.5 + 364420.i −0.00330672 + 0.0144877i −0.976554 0.215271i \(-0.930937\pi\)
0.973248 + 0.229759i \(0.0737937\pi\)
\(294\) 1.56154e7 0.614483
\(295\) 4.55779e6i 0.177537i
\(296\) 1.15616e7 5.06547e7i 0.445803 1.95319i
\(297\) −3.89676e6 3.10756e6i −0.148742 0.118618i
\(298\) −3.13645e7 1.51044e7i −1.18520 0.570760i
\(299\) 2.11821e7 1.02007e7i 0.792418 0.381609i
\(300\) 7.23946e7i 2.68128i
\(301\) −2.01486e7 1.37323e7i −0.738830 0.503551i
\(302\) −1.51185e7 −0.548892
\(303\) −1.78663e7 3.70998e7i −0.642254 1.33365i
\(304\) 165790. 344265.i 0.00590115 0.0122539i
\(305\) −3.11276e6 + 3.90328e6i −0.109710 + 0.137572i
\(306\) 1.98784e8 + 4.53713e7i 6.93774 + 1.58349i
\(307\) −4.55776e7 −1.57520 −0.787600 0.616186i \(-0.788677\pi\)
−0.787600 + 0.616186i \(0.788677\pi\)
\(308\) 2.70826e6i 0.0926912i
\(309\) 6.82946e7 + 1.55878e7i 2.31479 + 0.528335i
\(310\) −3.30986e6 4.15043e6i −0.111103 0.139318i
\(311\) 243017. + 1.06473e6i 0.00807897 + 0.0353963i 0.978807 0.204786i \(-0.0656499\pi\)
−0.970728 + 0.240182i \(0.922793\pi\)
\(312\) −1.95342e7 2.44951e7i −0.643179 0.806520i
\(313\) 1.00947e7 + 2.09618e7i 0.329199 + 0.683589i 0.998219 0.0596557i \(-0.0190003\pi\)
−0.669020 + 0.743244i \(0.733286\pi\)
\(314\) 8.39743e6 3.67916e7i 0.271242 1.18839i
\(315\) 2.31413e7 1.11442e7i 0.740381 0.356549i
\(316\) 1.10032e7 1.37976e7i 0.348706 0.437263i
\(317\) −6.28578e6 2.75398e7i −0.197325 0.864536i −0.972521 0.232816i \(-0.925206\pi\)
0.775196 0.631721i \(-0.217651\pi\)
\(318\) 3.25008e7 + 1.42395e8i 1.01068 + 4.42806i
\(319\) 263937. 548070.i 0.00813070 0.0168836i
\(320\) −1.47634e7 1.17734e7i −0.450543 0.359296i
\(321\) −5.89904e7 + 4.70433e7i −1.78347 + 1.42227i
\(322\) −7.10795e7 3.42301e7i −2.12900 1.02527i
\(323\) 2.32608e7 4.83017e7i 0.690268 1.43336i
\(324\) −1.05473e8 1.32259e8i −3.10103 3.88857i
\(325\) 1.00708e7 1.26283e7i 0.293368 0.367872i
\(326\) 3.79423e7 + 1.82721e7i 1.09514 + 0.527393i
\(327\) 1.07745e6 245920.i 0.0308143 0.00703317i
\(328\) −6.43929e6 + 1.46972e6i −0.182480 + 0.0416500i
\(329\) 1.91633e7 + 1.52822e7i 0.538125 + 0.429141i
\(330\) −1.08748e6 2.25817e6i −0.0302606 0.0628368i
\(331\) 2.76188e6 + 630381.i 0.0761589 + 0.0173828i 0.260431 0.965493i \(-0.416135\pi\)
−0.184272 + 0.982875i \(0.558993\pi\)
\(332\) 6.09779e7 2.93654e7i 1.66632 0.802457i
\(333\) −1.47284e8 + 1.17455e8i −3.98862 + 3.18082i
\(334\) −2.95570e7 + 6.74620e6i −0.793271 + 0.181059i
\(335\) −5.29582e6 + 4.22327e6i −0.140864 + 0.112335i
\(336\) −208029. + 911434.i −0.00548410 + 0.0240274i
\(337\) 1.77993e6 0.0465064 0.0232532 0.999730i \(-0.492598\pi\)
0.0232532 + 0.999730i \(0.492598\pi\)
\(338\) 4.43740e7i 1.14915i
\(339\) 1.97369e7 8.64731e7i 0.506618 2.21964i
\(340\) 3.03608e7 + 2.42119e7i 0.772461 + 0.616017i
\(341\) −702952. 338524.i −0.0177281 0.00853741i
\(342\) −1.40371e8 + 6.75993e7i −3.50914 + 1.68991i
\(343\) 4.33171e7i 1.07344i
\(344\) −3.01874e7 + 2.80190e7i −0.741568 + 0.688298i
\(345\) 4.51925e7 1.10055
\(346\) −1.61832e7 3.36048e7i −0.390693 0.811283i
\(347\) 2.91803e7 6.05935e7i 0.698395 1.45023i −0.185547 0.982635i \(-0.559406\pi\)
0.883942 0.467596i \(-0.154880\pi\)
\(348\) 2.37059e7 2.97263e7i 0.562496 0.705347i
\(349\) 1.24968e7 + 2.85231e6i 0.293983 + 0.0670997i 0.366969 0.930233i \(-0.380396\pi\)
−0.0729856 + 0.997333i \(0.523253\pi\)
\(350\) −5.42013e7 −1.26417
\(351\) 6.95054e7i 1.60730i
\(352\) −2.68130e6 611989.i −0.0614776 0.0140319i
\(353\) −1.30683e7 1.63871e7i −0.297095 0.372545i 0.610770 0.791808i \(-0.290860\pi\)
−0.907865 + 0.419263i \(0.862289\pi\)
\(354\) −1.50517e7 6.59458e7i −0.339294 1.48654i
\(355\) 761381. + 954741.i 0.0170183 + 0.0213403i
\(356\) −3.09156e6 6.41970e6i −0.0685217 0.142287i
\(357\) −2.91872e7 + 1.27877e8i −0.641486 + 2.81053i
\(358\) 1.05299e8 5.07095e7i 2.29497 1.10520i
\(359\) −2.08157e7 + 2.61021e7i −0.449892 + 0.564147i −0.954120 0.299423i \(-0.903206\pi\)
0.504228 + 0.863571i \(0.331777\pi\)
\(360\) −9.65416e6 4.22976e7i −0.206922 0.906585i
\(361\) −1.35316e6 5.92859e6i −0.0287626 0.126017i
\(362\) −3.65261e7 + 7.58472e7i −0.769976 + 1.59887i
\(363\) 7.04346e7 + 5.61697e7i 1.47254 + 1.17431i
\(364\) 2.95279e7 2.35477e7i 0.612249 0.488252i
\(365\) −2.18025e7 1.04995e7i −0.448361 0.215919i
\(366\) −3.21477e7 + 6.67554e7i −0.655703 + 1.36158i
\(367\) 5.93055e7 + 7.43667e7i 1.19977 + 1.50446i 0.812981 + 0.582290i \(0.197843\pi\)
0.386786 + 0.922170i \(0.373585\pi\)
\(368\) −738823. + 926455.i −0.0148251 + 0.0185901i
\(369\) 2.15760e7 + 1.03904e7i 0.429429 + 0.206802i
\(370\) −5.65104e7 + 1.28981e7i −1.11564 + 0.254637i
\(371\) −6.59896e7 + 1.50617e7i −1.29227 + 0.294952i
\(372\) −3.81268e7 3.04051e7i −0.740630 0.590633i
\(373\) −4.09825e7 8.51010e7i −0.789717 1.63986i −0.768297 0.640094i \(-0.778895\pi\)
−0.0214205 0.999771i \(-0.506819\pi\)
\(374\) 8.98942e6 + 2.05178e6i 0.171837 + 0.0392207i
\(375\) 6.00264e7 2.89072e7i 1.13828 0.548166i
\(376\) 3.23696e7 2.58139e7i 0.608939 0.485613i
\(377\) −8.27042e6 + 1.88767e6i −0.154349 + 0.0352291i
\(378\) 1.82351e8 1.45420e8i 3.37623 2.69246i
\(379\) 795780. 3.48654e6i 0.0146176 0.0640438i −0.967093 0.254423i \(-0.918115\pi\)
0.981711 + 0.190379i \(0.0609717\pi\)
\(380\) −2.96728e7 −0.540764
\(381\) 1.01151e8i 1.82893i
\(382\) −2.54915e7 + 1.11685e8i −0.457304 + 2.00358i
\(383\) −2.06159e7 1.64406e7i −0.366949 0.292632i 0.422604 0.906314i \(-0.361116\pi\)
−0.789553 + 0.613682i \(0.789688\pi\)
\(384\) −1.57154e8 7.56813e7i −2.77544 1.33658i
\(385\) 1.04649e6 503964.i 0.0183381 0.00883116i
\(386\) 8.75769e7i 1.52275i
\(387\) 1.48913e8 1.11837e7i 2.56920 0.192954i
\(388\) 8.79718e7 1.50608
\(389\) 1.67178e7 + 3.47149e7i 0.284008 + 0.589749i 0.993352 0.115113i \(-0.0367231\pi\)
−0.709344 + 0.704862i \(0.751009\pi\)
\(390\) −1.51652e7 + 3.14909e7i −0.255655 + 0.530873i
\(391\) −1.03659e8 + 1.29985e8i −1.73412 + 2.17452i
\(392\) 1.19171e7 + 2.72000e6i 0.197839 + 0.0451555i
\(393\) 1.11932e8 1.84407
\(394\) 3.66762e7i 0.599647i
\(395\) −7.37904e6 1.68422e6i −0.119731 0.0273279i
\(396\) −1.03415e7 1.29678e7i −0.166531 0.208824i
\(397\) 1.60524e6 + 7.03299e6i 0.0256547 + 0.112401i 0.986134 0.165951i \(-0.0530692\pi\)
−0.960479 + 0.278351i \(0.910212\pi\)
\(398\) 1.74269e7 + 2.18527e7i 0.276422 + 0.346622i
\(399\) −4.34864e7 9.03004e7i −0.684596 1.42158i
\(400\) −181158. + 793705.i −0.00283059 + 0.0124016i
\(401\) −1.07584e8 + 5.18097e7i −1.66845 + 0.803485i −0.670343 + 0.742052i \(0.733853\pi\)
−0.998111 + 0.0614332i \(0.980433\pi\)
\(402\) −6.26772e7 + 7.85948e7i −0.964788 + 1.20981i
\(403\) 2.42112e6 + 1.06076e7i 0.0369914 + 0.162070i
\(404\) −1.86574e7 8.17436e7i −0.282949 1.23968i
\(405\) −3.14790e7 + 6.53668e7i −0.473866 + 0.983993i
\(406\) 2.22559e7 + 1.77485e7i 0.332557 + 0.265206i
\(407\) −6.66047e6 + 5.31155e6i −0.0987920 + 0.0787840i
\(408\) 1.99617e8 + 9.61304e7i 2.93912 + 1.41540i
\(409\) 1.11807e7 2.32170e7i 0.163418 0.339341i −0.803139 0.595791i \(-0.796839\pi\)
0.966557 + 0.256450i \(0.0825529\pi\)
\(410\) 4.59413e6 + 5.76086e6i 0.0666580 + 0.0835864i
\(411\) 1.34486e8 1.68641e8i 1.93710 2.42905i
\(412\) 1.28512e8 + 6.18881e7i 1.83760 + 0.884943i
\(413\) 3.05610e7 6.97534e6i 0.433828 0.0990183i
\(414\) 4.71052e8 1.07515e8i 6.63847 1.51519i
\(415\) −2.26941e7 1.80979e7i −0.317518 0.253212i
\(416\) 1.66408e7 + 3.45550e7i 0.231150 + 0.479989i
\(417\) −1.18677e8 2.70872e7i −1.63666 0.373556i
\(418\) −6.34787e6 + 3.05697e6i −0.0869159 + 0.0418565i
\(419\) −4.64871e7 + 3.70723e7i −0.631962 + 0.503973i −0.886281 0.463148i \(-0.846720\pi\)
0.254319 + 0.967120i \(0.418149\pi\)
\(420\) 7.07783e7 1.61547e7i 0.955328 0.218047i
\(421\) −4.28337e7 + 3.41588e7i −0.574037 + 0.457779i −0.866975 0.498352i \(-0.833939\pi\)
0.292938 + 0.956132i \(0.405367\pi\)
\(422\) −1.39230e7 + 6.10005e7i −0.185265 + 0.811700i
\(423\) −1.50114e8 −1.98335
\(424\) 1.14332e8i 1.49993i
\(425\) −2.54171e7 + 1.11360e8i −0.331100 + 1.45064i
\(426\) 1.41692e7 + 1.12996e7i 0.183281 + 0.146162i
\(427\) −3.09362e7 1.48981e7i −0.397359 0.191358i
\(428\) −1.38420e8 + 6.66594e7i −1.76549 + 0.850217i
\(429\) 5.13702e6i 0.0650637i
\(430\) 4.27745e7 + 1.67797e7i 0.537996 + 0.211047i
\(431\) −4.37330e7 −0.546233 −0.273116 0.961981i \(-0.588054\pi\)
−0.273116 + 0.961981i \(0.588054\pi\)
\(432\) −1.52001e6 3.15632e6i −0.0188536 0.0391499i
\(433\) 2.00011e7 4.15326e7i 0.246371 0.511594i −0.740708 0.671827i \(-0.765510\pi\)
0.987079 + 0.160232i \(0.0512243\pi\)
\(434\) 2.27641e7 2.85453e7i 0.278472 0.349192i
\(435\) −1.58978e7 3.62856e6i −0.193138 0.0440826i
\(436\) 2.25031e6 0.0271509
\(437\) 1.27039e8i 1.52228i
\(438\) −3.50130e8 7.99149e7i −4.16684 0.951055i
\(439\) 9.58637e7 + 1.20209e8i 1.13308 + 1.42084i 0.892984 + 0.450089i \(0.148608\pi\)
0.240096 + 0.970749i \(0.422821\pi\)
\(440\) −436580. 1.91278e6i −0.00512514 0.0224547i
\(441\) −2.76327e7 3.46503e7i −0.322187 0.404009i
\(442\) −5.57906e7 1.15850e8i −0.646092 1.34162i
\(443\) −2.04580e6 + 8.96325e6i −0.0235317 + 0.103099i −0.985330 0.170660i \(-0.945410\pi\)
0.961798 + 0.273759i \(0.0882671\pi\)
\(444\) −4.79736e8 + 2.31029e8i −5.48092 + 2.63947i
\(445\) −1.90533e6 + 2.38921e6i −0.0216217 + 0.0271128i
\(446\) −1.44668e7 6.33833e7i −0.163068 0.714447i
\(447\) 3.05192e7 + 1.33713e8i 0.341704 + 1.49710i
\(448\) 5.63491e7 1.17010e8i 0.626690 1.30134i
\(449\) 3.17122e7 + 2.52896e7i 0.350338 + 0.279385i 0.782808 0.622263i \(-0.213787\pi\)
−0.432470 + 0.901648i \(0.642358\pi\)
\(450\) 2.59528e8 2.06967e8i 2.84805 2.27124i
\(451\) 975708. + 469876.i 0.0106363 + 0.00512217i
\(452\) 7.83612e7 1.62719e8i 0.848567 1.76207i
\(453\) 3.71373e7 + 4.65686e7i 0.399499 + 0.500955i
\(454\) −1.91281e7 + 2.39858e7i −0.204411 + 0.256323i
\(455\) −1.45937e7 7.02795e6i −0.154928 0.0746095i
\(456\) −1.65051e8 + 3.76719e7i −1.74070 + 0.397304i
\(457\) −3.60442e7 + 8.22686e6i −0.377648 + 0.0861957i −0.407131 0.913370i \(-0.633471\pi\)
0.0294835 + 0.999565i \(0.490614\pi\)
\(458\) 2.12971e8 + 1.69839e8i 2.21679 + 1.76783i
\(459\) −2.13262e8 4.42843e8i −2.20534 4.57943i
\(460\) 8.97137e7 + 2.04766e7i 0.921691 + 0.210370i
\(461\) −2.51027e7 + 1.20888e7i −0.256223 + 0.123390i −0.557586 0.830119i \(-0.688272\pi\)
0.301364 + 0.953509i \(0.402558\pi\)
\(462\) 1.34772e7 1.07477e7i 0.136670 0.108991i
\(463\) 9.57246e7 2.18485e7i 0.964452 0.220130i 0.288832 0.957380i \(-0.406733\pi\)
0.675620 + 0.737250i \(0.263876\pi\)
\(464\) 334288. 266586.i 0.00334632 0.00266860i
\(465\) −4.65398e6 + 2.03904e7i −0.0462877 + 0.202799i
\(466\) 1.48191e8 1.46441
\(467\) 5.28151e7i 0.518570i −0.965801 0.259285i \(-0.916513\pi\)
0.965801 0.259285i \(-0.0834869\pi\)
\(468\) −5.14697e7 + 2.25504e8i −0.502128 + 2.19997i
\(469\) −3.64228e7 2.90462e7i −0.353065 0.281560i
\(470\) −4.16143e7 2.00404e7i −0.400820 0.193025i
\(471\) −1.33955e8 + 6.45093e7i −1.28202 + 0.617390i
\(472\) 5.29494e7i 0.503541i
\(473\) 6.73412e6 505750.i 0.0636352 0.00477917i
\(474\) −1.12328e8 −1.05476
\(475\) −3.78693e7 7.86364e7i −0.353351 0.733741i
\(476\) −1.15881e8 + 2.40630e8i −1.07447 + 2.23115i
\(477\) 2.58460e8 3.24099e8i 2.38144 2.98623i
\(478\) −2.51680e8 5.74443e7i −2.30444 0.525973i
\(479\) 7.72113e7 0.702545 0.351273 0.936273i \(-0.385749\pi\)
0.351273 + 0.936273i \(0.385749\pi\)
\(480\) 7.37241e7i 0.666632i
\(481\) 1.15822e8 + 2.64357e7i 1.04078 + 0.237551i
\(482\) −1.35700e8 1.70163e8i −1.21183 1.51958i
\(483\) 6.91637e7 + 3.03026e8i 0.613814 + 2.68930i
\(484\) 1.14373e8 + 1.43419e8i 1.00876 + 1.26494i
\(485\) −1.63702e7 3.39930e7i −0.143492 0.297964i
\(486\) −1.16226e8 + 5.09219e8i −1.01250 + 4.43605i
\(487\) −9.35749e7 + 4.50633e7i −0.810163 + 0.390154i −0.792638 0.609692i \(-0.791293\pi\)
−0.0175251 + 0.999846i \(0.505579\pi\)
\(488\) −3.61620e7 + 4.53457e7i −0.311167 + 0.390191i
\(489\) −3.69197e7 1.61756e8i −0.315741 1.38335i
\(490\) −3.03444e6 1.32947e7i −0.0257923 0.113003i
\(491\) 7.96220e7 1.65337e8i 0.672649 1.39677i −0.232889 0.972503i \(-0.574818\pi\)
0.905537 0.424266i \(-0.139468\pi\)
\(492\) 5.29206e7 + 4.22027e7i 0.444354 + 0.354360i
\(493\) 4.69018e7 3.74030e7i 0.391425 0.312151i
\(494\) 8.85231e7 + 4.26305e7i 0.734304 + 0.353622i
\(495\) −3.08647e6 + 6.40912e6i −0.0254476 + 0.0528424i
\(496\) −341922. 428757.i −0.00280209 0.00351371i
\(497\) −5.23652e6 + 6.56639e6i −0.0426553 + 0.0534881i
\(498\) −3.88123e8 1.86910e8i −3.14254 1.51337i
\(499\) 1.02730e8 2.34473e7i 0.826787 0.188709i 0.211867 0.977298i \(-0.432046\pi\)
0.614920 + 0.788590i \(0.289188\pi\)
\(500\) 1.32259e8 3.01872e7i 1.05807 0.241498i
\(501\) 9.33845e7 + 7.44716e7i 0.742611 + 0.592213i
\(502\) −8.18140e6 1.69889e7i −0.0646720 0.134293i
\(503\) −4.17692e7 9.53356e6i −0.328211 0.0749119i 0.0552406 0.998473i \(-0.482407\pi\)
−0.383451 + 0.923561i \(0.625265\pi\)
\(504\) 2.68840e8 1.29467e8i 2.09992 1.01127i
\(505\) −2.81145e7 + 2.24206e7i −0.218301 + 0.174089i
\(506\) 2.13019e7 4.86202e6i 0.164425 0.0375288i
\(507\) −1.36683e8 + 1.09001e8i −1.04880 + 0.836387i
\(508\) 4.58312e7 2.00800e8i 0.349599 1.53169i
\(509\) 1.10932e8 0.841206 0.420603 0.907245i \(-0.361819\pi\)
0.420603 + 0.907245i \(0.361819\pi\)
\(510\) 2.47170e8i 1.86331i
\(511\) 3.70346e7 1.62259e8i 0.277553 1.21604i
\(512\) −3.05883e6 2.43934e6i −0.0227901 0.0181745i
\(513\) 3.38383e8 + 1.62957e8i 2.50644 + 1.20704i
\(514\) −1.36597e8 + 6.57817e7i −1.00589 + 0.484413i
\(515\) 6.11744e7i 0.447866i
\(516\) 4.17384e8 + 6.28413e7i 3.03799 + 0.457400i
\(517\) −6.78843e6 −0.0491244
\(518\) −1.72970e8 3.59175e8i −1.24446 2.58415i
\(519\) −6.37584e7 + 1.32396e8i −0.456074 + 0.947048i
\(520\) −1.70589e7 + 2.13912e7i −0.121322 + 0.152133i
\(521\) −7.39068e7 1.68687e7i −0.522602 0.119280i −0.0469213 0.998899i \(-0.514941\pi\)
−0.475681 + 0.879618i \(0.657798\pi\)
\(522\) −1.74338e8 −1.22569
\(523\) 2.19345e8i 1.53328i 0.642075 + 0.766642i \(0.278074\pi\)
−0.642075 + 0.766642i \(0.721926\pi\)
\(524\) 2.22202e8 + 5.07161e7i 1.54438 + 0.352494i
\(525\) 1.33141e8 + 1.66954e8i 0.920098 + 1.15377i
\(526\) −5.96234e6 2.61227e7i −0.0409694 0.179499i
\(527\) −4.79728e7 6.01560e7i −0.327766 0.411005i
\(528\) −112341. 233278.i −0.000763195 0.00158479i
\(529\) −5.47261e7 + 2.39771e8i −0.369681 + 1.61968i
\(530\) 1.14918e8 5.53416e7i 0.771899 0.371727i
\(531\) −1.19698e8 + 1.50096e8i −0.799470 + 1.00250i
\(532\) −4.54120e7 1.98963e8i −0.301603 1.32141i
\(533\) −3.36054e6 1.47235e7i −0.0221936 0.0972366i
\(534\) −1.96777e7 + 4.08612e7i −0.129226 + 0.268341i
\(535\) 5.15154e7 + 4.10822e7i 0.336415 + 0.268282i
\(536\) −6.15234e7 + 4.90633e7i −0.399527 + 0.318612i
\(537\) −4.14858e8 1.99785e8i −2.67902 1.29015i
\(538\) 7.95653e7 1.65219e8i 0.510948 1.06100i
\(539\) −1.24960e6 1.56695e6i −0.00798006 0.0100067i
\(540\) −1.69620e8 + 2.12696e8i −1.07720 + 1.35076i
\(541\) 1.70165e8 + 8.19473e7i 1.07468 + 0.517539i 0.885612 0.464426i \(-0.153739\pi\)
0.189068 + 0.981964i \(0.439453\pi\)
\(542\) −3.00411e7 + 6.85669e6i −0.188677 + 0.0430642i
\(543\) 3.23352e8 7.38030e7i 2.01965 0.460972i
\(544\) −2.12049e8 1.69103e8i −1.31716 1.05040i
\(545\) −418748. 869538.i −0.00258680 0.00537154i
\(546\) −2.34363e8 5.34917e7i −1.43983 0.328631i
\(547\) −4.19073e7 + 2.01815e7i −0.256051 + 0.123308i −0.557507 0.830172i \(-0.688242\pi\)
0.301455 + 0.953480i \(0.402528\pi\)
\(548\) 3.43385e8 2.73841e8i 2.08660 1.66401i
\(549\) 2.05018e8 4.67940e7i 1.23901 0.282796i
\(550\) 1.17364e7 9.35945e6i 0.0705417 0.0562551i
\(551\) −1.02001e7 + 4.46898e7i −0.0609750 + 0.267149i
\(552\) 5.25018e8 3.12145
\(553\) 5.20556e7i 0.307817i
\(554\) −4.44131e7 + 1.94586e8i −0.261205 + 1.14441i
\(555\) 1.78543e8 + 1.42383e8i 1.04439 + 0.832874i
\(556\) −2.23317e8 1.07544e8i −1.29927 0.625694i
\(557\) −2.16348e8 + 1.04188e8i −1.25195 + 0.602907i −0.938034 0.346543i \(-0.887355\pi\)
−0.313916 + 0.949451i \(0.601641\pi\)
\(558\) 2.23606e8i 1.28700i
\(559\) −6.40657e7 6.90240e7i −0.366767 0.395152i
\(560\) 816410. 0.00464883
\(561\) −1.57618e7 3.27297e7i −0.0892724 0.185376i
\(562\) 5.40868e6 1.12312e7i 0.0304707 0.0632731i
\(563\) −1.69085e8 + 2.12026e8i −0.947501 + 1.18813i 0.0345287 + 0.999404i \(0.489007\pi\)
−0.982030 + 0.188725i \(0.939564\pi\)
\(564\) −4.13659e8 9.44151e7i −2.30571 0.526264i
\(565\) −7.74576e7 −0.429456
\(566\) 1.69801e8i 0.936464i
\(567\) −4.86475e8 1.11035e8i −2.66877 0.609130i
\(568\) 8.84523e6 + 1.10916e7i 0.0482685 + 0.0605268i
\(569\) 3.39675e7 + 1.48821e8i 0.184385 + 0.807845i 0.979509 + 0.201398i \(0.0645485\pi\)
−0.795124 + 0.606447i \(0.792594\pi\)
\(570\) 1.17756e8 + 1.47662e8i 0.635858 + 0.797341i
\(571\) 4.65435e7 + 9.66486e7i 0.250006 + 0.519143i 0.987770 0.155915i \(-0.0498326\pi\)
−0.737764 + 0.675059i \(0.764118\pi\)
\(572\) −2.32756e6 + 1.01977e7i −0.0124369 + 0.0544897i
\(573\) 4.06637e8 1.95826e8i 2.16144 1.04089i
\(574\) −3.15969e7 + 3.96212e7i −0.167074 + 0.209504i
\(575\) 6.02299e7 + 2.63884e8i 0.316817 + 1.38807i
\(576\) 1.76989e8 + 7.75440e8i 0.926145 + 4.05771i
\(577\) 5.64729e7 1.17267e8i 0.293977 0.610449i −0.700705 0.713452i \(-0.747131\pi\)
0.994681 + 0.103003i \(0.0328451\pi\)
\(578\) 4.66342e8 + 3.71895e8i 2.41502 + 1.92591i
\(579\) −2.69759e8 + 2.15126e8i −1.38976 + 1.10830i
\(580\) −2.99153e7 1.44064e7i −0.153324 0.0738368i
\(581\) 8.66190e7 1.79866e8i 0.441656 0.917109i
\(582\) −3.49116e8 4.37777e8i −1.77093 2.22067i
\(583\) 1.16881e7 1.46564e7i 0.0589845 0.0739642i
\(584\) −2.53287e8 1.21977e8i −1.27167 0.612404i
\(585\) 9.67141e7 2.20744e7i 0.483083 0.110261i
\(586\) 4.72301e6 1.07800e6i 0.0234707 0.00535703i
\(587\) 1.39625e8 + 1.11348e8i 0.690319 + 0.550511i 0.904600 0.426261i \(-0.140169\pi\)
−0.214281 + 0.976772i \(0.568741\pi\)
\(588\) −5.43523e7 1.12864e8i −0.267353 0.555165i
\(589\) 5.73189e7 + 1.30827e7i 0.280512 + 0.0640251i
\(590\) −5.32206e7 + 2.56297e7i −0.259134 + 0.124792i
\(591\) 1.12972e8 9.00921e7i 0.547278 0.436440i
\(592\) −5.83775e6 + 1.33243e6i −0.0281372 + 0.00642213i
\(593\) 2.83085e8 2.25753e8i 1.35754 1.08260i 0.369366 0.929284i \(-0.379575\pi\)
0.988177 0.153320i \(-0.0489965\pi\)
\(594\) −1.43740e7 + 6.29765e7i −0.0685832 + 0.300483i
\(595\) 1.14545e8 0.543783
\(596\) 2.79268e8i 1.31912i
\(597\) 2.45039e7 1.07359e8i 0.115163 0.504562i
\(598\) −2.38225e8 1.89978e8i −1.11400 0.888383i
\(599\) −5.89601e6 2.83937e6i −0.0274333 0.0132112i 0.420117 0.907470i \(-0.361989\pi\)
−0.447550 + 0.894259i \(0.647703\pi\)
\(600\) 3.24982e8 1.56503e8i 1.50454 0.724550i
\(601\) 1.72793e8i 0.795982i −0.917389 0.397991i \(-0.869707\pi\)
0.917389 0.397991i \(-0.130293\pi\)
\(602\) −4.70488e7 + 3.12492e8i −0.215655 + 1.43235i
\(603\) 2.85314e8 1.30128
\(604\) 5.26227e7 + 1.09272e8i 0.238815 + 0.495905i
\(605\) 3.41352e7 7.08824e7i 0.154147 0.320090i
\(606\) −3.32741e8 + 4.17245e8i −1.49516 + 1.87488i
\(607\) 3.71237e7 + 8.47323e6i 0.165991 + 0.0378864i 0.304709 0.952446i \(-0.401441\pi\)
−0.138718 + 0.990332i \(0.544298\pi\)
\(608\) 2.07244e8 0.922085
\(609\) 1.12151e8i 0.496538i
\(610\) 6.30819e7 + 1.43980e7i 0.277917 + 0.0634328i
\(611\) 5.90238e7 + 7.40135e7i 0.258764 + 0.324480i
\(612\) −3.63976e8 1.59469e9i −1.58789 6.95698i
\(613\) −1.50183e7 1.88323e7i −0.0651987 0.0817566i 0.748163 0.663515i \(-0.230936\pi\)
−0.813361 + 0.581759i \(0.802365\pi\)
\(614\) 2.56295e8 + 5.32202e8i 1.10722 + 2.29917i
\(615\) 6.45979e6 2.83022e7i 0.0277711 0.121673i
\(616\) 1.21575e7 5.85473e6i 0.0520117 0.0250475i
\(617\) 2.16808e8 2.71868e8i 0.923037 1.15745i −0.0641593 0.997940i \(-0.520437\pi\)
0.987196 0.159512i \(-0.0509920\pi\)
\(618\) −2.02023e8 8.85121e8i −0.855925 3.75005i
\(619\) −6.36236e7 2.78753e8i −0.268254 1.17530i −0.912043 0.410095i \(-0.865496\pi\)
0.643789 0.765203i \(-0.277361\pi\)
\(620\) −1.84776e7 + 3.83692e7i −0.0775302 + 0.160993i
\(621\) −9.10625e8 7.26199e8i −3.80246 3.03236i
\(622\) 1.10661e7 8.82494e6i 0.0459859 0.0366725i
\(623\) −1.89361e7 9.11916e6i −0.0783118 0.0377130i
\(624\) −1.56663e6 + 3.25314e6i −0.00644781 + 0.0133890i
\(625\) 9.65729e7 + 1.21099e8i 0.395563 + 0.496020i
\(626\) 1.88002e8 2.35748e8i 0.766374 0.961002i
\(627\) 2.50093e7 + 1.20438e7i 0.101461 + 0.0488610i
\(628\) −2.95149e8 + 6.73657e7i −1.19169 + 0.271995i
\(629\) −8.19057e8 + 1.86944e8i −3.29126 + 0.751209i
\(630\) −2.60259e8 2.07550e8i −1.04084 0.830044i
\(631\) 1.59968e8 + 3.32176e8i 0.636714 + 1.32215i 0.930505 + 0.366280i \(0.119369\pi\)
−0.293791 + 0.955870i \(0.594917\pi\)
\(632\) −8.57248e7 1.95661e7i −0.339590 0.0775093i
\(633\) 2.22097e8 1.06956e8i 0.875654 0.421693i
\(634\) −2.86232e8 + 2.28262e8i −1.12318 + 0.895707i
\(635\) −8.61191e7 + 1.96561e7i −0.336340 + 0.0767673i
\(636\) 9.16069e8 7.30541e8i 3.56088 2.83971i
\(637\) −6.21932e6 + 2.72486e7i −0.0240616 + 0.105421i
\(638\) −7.88393e6 −0.0303585
\(639\) 5.14369e7i 0.197139i
\(640\) −3.38955e7 + 1.48506e8i −0.129301 + 0.566505i
\(641\) −1.18065e8 9.41534e7i −0.448276 0.357488i 0.373181 0.927759i \(-0.378267\pi\)
−0.821457 + 0.570270i \(0.806838\pi\)
\(642\) 8.81037e8 + 4.24285e8i 3.32958 + 1.60344i
\(643\) −1.95380e8 + 9.40899e7i −0.734931 + 0.353924i −0.763621 0.645664i \(-0.776581\pi\)
0.0286905 + 0.999588i \(0.490866\pi\)
\(644\) 6.32888e8i 2.36957i
\(645\) −5.33862e7 1.72974e8i −0.198953 0.644617i
\(646\) −6.94813e8 −2.57733
\(647\) 1.88723e8 + 3.91887e8i 0.696806 + 1.44693i 0.885378 + 0.464873i \(0.153900\pi\)
−0.188572 + 0.982059i \(0.560386\pi\)
\(648\) −3.65702e8 + 7.59389e8i −1.34401 + 2.79087i
\(649\) −5.41297e6 + 6.78765e6i −0.0198016 + 0.0248305i
\(650\) −2.04090e8 4.65822e7i −0.743159 0.169621i
\(651\) −1.43845e8 −0.521376
\(652\) 3.37837e8i 1.21889i
\(653\) −9.14895e7 2.08819e7i −0.328573 0.0749946i 0.0550524 0.998483i \(-0.482467\pi\)
−0.383625 + 0.923489i \(0.625325\pi\)
\(654\) −8.93036e6 1.11983e7i −0.0319253 0.0400331i
\(655\) −2.17511e7 9.52979e7i −0.0774030 0.339125i
\(656\) 474593. + 595120.i 0.00168116 + 0.00210811i
\(657\) 4.42255e8 + 9.18351e8i 1.55947 + 3.23827i
\(658\) 7.06879e7 3.09704e8i 0.248123 1.08710i
\(659\) −4.42594e7 + 2.13142e7i −0.154650 + 0.0744755i −0.509608 0.860407i \(-0.670209\pi\)
0.354958 + 0.934882i \(0.384495\pi\)
\(660\) −1.25363e7 + 1.57200e7i −0.0436050 + 0.0546790i
\(661\) −1.68950e7 7.40216e7i −0.0584996 0.256303i 0.937219 0.348742i \(-0.113391\pi\)
−0.995718 + 0.0924385i \(0.970534\pi\)
\(662\) −8.16994e6 3.57948e7i −0.0281608 0.123380i
\(663\) −2.19803e8 + 4.56426e8i −0.754213 + 1.56614i
\(664\) −2.63645e8 2.10250e8i −0.900565 0.718176i
\(665\) −6.84303e7 + 5.45714e7i −0.232693 + 0.185567i
\(666\) 2.19972e9 + 1.05933e9i 7.44639 + 3.58599i
\(667\) 6.16789e7 1.28077e8i 0.207854 0.431614i
\(668\) 1.51639e8 + 1.90149e8i 0.508722 + 0.637918i
\(669\) −1.59700e8 + 2.00257e8i −0.533367 + 0.668821i
\(670\) 7.90944e7 + 3.80899e7i 0.262979 + 0.126644i
\(671\) 9.27130e6 2.11611e6i 0.0306883 0.00700441i
\(672\) −4.94337e8 + 1.12829e8i −1.62898 + 0.371803i
\(673\) 2.29129e8 + 1.82724e8i 0.751684 + 0.599448i 0.922564 0.385844i \(-0.126090\pi\)
−0.170880 + 0.985292i \(0.554661\pi\)
\(674\) −1.00090e7 2.07840e7i −0.0326898 0.0678811i
\(675\) −7.80143e8 1.78063e8i −2.53666 0.578977i
\(676\) −3.20724e8 + 1.54452e8i −1.03822 + 0.499982i
\(677\) −1.85225e8 + 1.47712e8i −0.596945 + 0.476048i −0.874740 0.484592i \(-0.838968\pi\)
0.277795 + 0.960640i \(0.410396\pi\)
\(678\) −1.12072e9 + 2.55797e8i −3.59590 + 0.820741i
\(679\) 2.02877e8 1.61789e8i 0.648073 0.516821i
\(680\) 4.30540e7 1.88632e8i 0.136926 0.599914i
\(681\) 1.20869e8 0.382713
\(682\) 1.01119e7i 0.0318771i
\(683\) −6.64455e6 + 2.91117e7i −0.0208547 + 0.0913703i −0.984284 0.176591i \(-0.943493\pi\)
0.963430 + 0.267962i \(0.0863501\pi\)
\(684\) 9.77180e8 + 7.79275e8i 3.05356 + 2.43513i
\(685\) −1.69713e8 8.17293e7i −0.528011 0.254277i
\(686\) 5.05808e8 2.43584e8i 1.56680 0.754531i
\(687\) 1.07320e9i 3.30987i
\(688\) 4.41878e6 + 1.73342e6i 0.0135686 + 0.00532276i
\(689\) −2.61422e8 −0.799255
\(690\) −2.54130e8 5.27707e8i −0.773587 1.60637i
\(691\) 1.49143e8 3.09699e8i 0.452033 0.938655i −0.543059 0.839695i \(-0.682734\pi\)
0.995091 0.0989606i \(-0.0315518\pi\)
\(692\) −1.86558e8 + 2.33936e8i −0.562982 + 0.705957i
\(693\) −4.76982e7 1.08868e7i −0.143318 0.0327115i
\(694\) −8.71630e8 −2.60768
\(695\) 1.06304e8i 0.316661i
\(696\) −1.84690e8 4.21543e7i −0.547792 0.125030i
\(697\) 6.65870e7 + 8.34975e7i 0.196649 + 0.246590i
\(698\) −3.69669e7 1.61963e8i −0.108704 0.476265i
\(699\) −3.64018e8 4.56464e8i −1.06584 1.33652i
\(700\) 1.88658e8 + 3.91753e8i 0.550024 + 1.14214i
\(701\) 9.69740e7 4.24871e8i 0.281515 1.23340i −0.614337 0.789044i \(-0.710577\pi\)
0.895852 0.444353i \(-0.146566\pi\)
\(702\) 8.11605e8 3.90848e8i 2.34603 1.12979i
\(703\) 4.00249e8 5.01896e8i 1.15203 1.44460i
\(704\) 8.00379e6 + 3.50669e7i 0.0229392 + 0.100503i
\(705\) 4.04927e7 + 1.77410e8i 0.115561 + 0.506304i
\(706\) −1.17863e8 + 2.44746e8i −0.334938 + 0.695507i
\(707\) −1.93362e8 1.54201e8i −0.547158 0.436344i
\(708\) −4.24249e8 + 3.38327e8i −1.19542 + 0.953316i
\(709\) −4.56054e8 2.19624e8i −1.27961 0.616228i −0.334320 0.942460i \(-0.608507\pi\)
−0.945290 + 0.326232i \(0.894221\pi\)
\(710\) 6.86692e6 1.42593e7i 0.0191861 0.0398404i
\(711\) 1.98774e8 + 2.49254e8i 0.553032 + 0.693480i
\(712\) −2.21349e7 + 2.77563e7i −0.0613250 + 0.0768991i
\(713\) −1.64272e8 7.91090e7i −0.453204 0.218252i
\(714\) 1.65733e9 3.78275e8i 4.55318 1.03923i
\(715\) 4.37360e6 998245.i 0.0119652 0.00273098i
\(716\) −7.33030e8 5.84572e8i −1.99702 1.59257i
\(717\) 4.41288e8 + 9.16345e8i 1.19720 + 2.48600i
\(718\) 4.21843e8 + 9.62830e7i 1.13967 + 0.260121i
\(719\) −1.56863e8 + 7.55411e7i −0.422020 + 0.203234i −0.632827 0.774294i \(-0.718105\pi\)
0.210806 + 0.977528i \(0.432391\pi\)
\(720\) −3.90916e6 + 3.11745e6i −0.0104734 + 0.00835222i
\(721\) 4.10188e8 9.36227e7i 1.09440 0.249790i
\(722\) −6.16181e7 + 4.91388e7i −0.163718 + 0.130561i
\(723\) −1.90808e8 + 8.35983e8i −0.504872 + 2.21199i
\(724\) 6.75340e8 1.77954
\(725\) 9.76648e7i 0.256286i
\(726\) 2.59812e8 1.13831e9i 0.678969 2.97476i
\(727\) 3.82706e8 + 3.05198e8i 0.996006 + 0.794288i 0.978644 0.205561i \(-0.0659019\pi\)
0.0173617 + 0.999849i \(0.494473\pi\)
\(728\) −1.69540e8 8.16461e7i −0.439418 0.211613i
\(729\) 7.85363e8 3.78211e8i 2.02716 0.976228i
\(730\) 3.13626e8i 0.806202i
\(731\) 6.19970e8 + 2.43204e8i 1.58715 + 0.622614i
\(732\) 5.94387e8 1.51543
\(733\) −2.34423e8 4.86784e8i −0.595234 1.23602i −0.953217 0.302288i \(-0.902250\pi\)
0.357983 0.933728i \(-0.383465\pi\)
\(734\) 5.34878e8 1.11069e9i 1.35259 2.80869i
\(735\) −3.34973e7 + 4.20043e7i −0.0843622 + 0.105787i
\(736\) −6.26587e8 1.43014e8i −1.57162 0.358712i
\(737\) 1.29024e7 0.0322307
\(738\) 3.10368e8i 0.772161i
\(739\) 6.29271e8 + 1.43627e8i 1.55921 + 0.355879i 0.913220 0.407467i \(-0.133588\pi\)
0.645990 + 0.763346i \(0.276445\pi\)
\(740\) 2.89920e8 + 3.63548e8i 0.715455 + 0.897153i
\(741\) −8.61372e7 3.77392e8i −0.211707 0.927551i
\(742\) 5.46951e8 + 6.85855e8i 1.33886 + 1.67888i
\(743\) −1.51569e8 3.14736e8i −0.369525 0.767326i 0.630436 0.776241i \(-0.282876\pi\)
−0.999960 + 0.00891585i \(0.997162\pi\)
\(744\) −5.40669e7 + 2.36882e8i −0.131284 + 0.575193i
\(745\) 1.07911e8 5.19674e7i 0.260975 0.125679i
\(746\) −7.63256e8 + 9.57092e8i −1.83846 + 2.30535i
\(747\) 2.72065e8 + 1.19199e9i 0.652695 + 2.85965i
\(748\) −1.64597e7 7.21148e7i −0.0393294 0.172314i
\(749\) −1.96625e8 + 4.08295e8i −0.467942 + 0.971693i
\(750\) −6.75090e8 5.38367e8i −1.60021 1.27613i
\(751\) 2.46059e8 1.96225e8i 0.580924 0.463271i −0.288403 0.957509i \(-0.593124\pi\)
0.869327 + 0.494238i \(0.164553\pi\)
\(752\) −4.29893e6 2.07026e6i −0.0101090 0.00486822i
\(753\) −3.22330e7 + 6.69325e7i −0.0754946 + 0.156766i
\(754\) 6.85489e7 + 8.59576e7i 0.159914 + 0.200526i
\(755\) 3.24314e7 4.06677e7i 0.0753571 0.0944949i
\(756\) −1.68577e9 8.11822e8i −3.90150 1.87886i